John can run 4 miles in 40 minutes, so running 9 kilometers would take him approximately 56 minutes.
We're given that John can run 4 miles in 40 minutes. To find out how long it would take him to run 9 kilometers, we need to first convert 4 miles to kilometers.
One mile is equal to 1.60934 kilometers, so 4 miles is equal to 6.43736 kilometers (rounded to five decimal places).
Next, we can use the formula for speed:
Speed = Distance / Time
To solve for John's speed, we divide the distance he covered (6.43736 kilometers) by the time it took him to cover that distance (40 minutes):
Speed = 6.43736 km / 40 min ≈ 0.160935 km/min
Now we can use this speed to determine how long it would take John to run 9 kilometers. We can use the same formula as before, but this time we'll be solving for time:
Time = Distance / Speed
Substituting in the values we know:
Time = 9 km / 0.160935 km/min ≈ 55.8627 min
Rounding this answer to the nearest minute, we get:
Time ≈ 56 min
Therefore, it would take John approximately 56 minutes to run 9 kilometers.
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J. 1 Factor out a monomial NMZ Factor out the greatest common factor. Polynomial. 3s^(3)+6s^(2) Submit
The factored form of the polynomial after factoring out the greatest common factor is 3s^(2) (s + 2)
The greatest common factor (GCF) of a polynomial is the largest factor that is common to all the terms in the polynomial. To find the GCF of a polynomial, we need to factor each term into its prime factors, and then identify the factors that appear in all the terms.
To factor out the greatest common factor from the given polynomial, we need to find the largest monomial that divides each term in the polynomial.
The first step is to identify the common factors of the two terms. In this case, both terms have a factor of 3 and a factor of s^2. So, we can factor out 3s^2 from both terms
3s^(3) + 6s^(2) = 3s^(2) (s + 2)
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A plumber charges $50 to make a house call. He also charges $25.00 per hour for labor. What is the slope in this
situation?
[tex]\text{t = total}[/tex]
[tex]\text{equation:} \ t = 25x + 50[/tex]
[tex]m=25[/tex]
[tex]\text{The slope is} \ \bold{25}[/tex]
d. what symbol from lecture would we use for the mean arsenic level in the sample? what symbol would we use for the proportion of health issues in the sample?
We use the symbol '[tex]\bar{x}[/tex]' to represent the mean arsenic level in the sample, and 'p' to represent the proportion of health issues in the sample.
The mean tells us about the average arsenic level in the sample, while the proportion tells us about the fraction or percentage of individuals in the sample who have health issues.
First, let's talk about the mean arsenic level in the sample. The mean is a measure of central tendency that tells us about the average value of a dataset. In this case, we are interested in finding the average arsenic level in our sample. The symbol we use to represent the mean is '[tex]\bar{x}[/tex]' (pronounced x-bar). So, if we have a sample of n arsenic level readings, we would calculate the mean arsenic level as follows:
[tex]\bar{x}[/tex] = (x₁ + x₂ + x₃ + ... + xₙ) / n
Here, 'xi' represents the ith observation in our sample. By summing up all the observations and dividing by the sample size, we get the mean arsenic level.
Now, let's move on to the proportion of health issues in the sample. Proportion is a statistic that tells us what fraction or percentage of a sample has a certain characteristic.
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Find the equation of a line perpendicular to y= 4/3x−1 that passes through the point (−4,−8)
Answer: y=-3/4x-11
Step-by-step explanation: slope= -3/4
y+8=-3/4x+4
y+8=-3/4x-3
y=-3/4x-11
use property of rational numbers to simplify the expression
(23 - 12.3) - (166.4 + 2)
Answer:
-157.7
Step-by-step explanation:
Subtract 12.3 from 23 to get 10.7
10.7 - (166.4 + 2), next add 166.4 and 2 to get 168.4
10.7 - 168.4, finally subtract 168.4 from 10.7 to get -157.7
The area of the wheel of a car is 1.54m^2, what is the circumference of the wheel?
Answer:
4.4 m
Step-by-step explanation:
Area of the wheel of a car= 1.54 m²
Area of a circle= [tex]\pi r^{2}[/tex]
1.54= 3.14 x r²
r²= [tex]\frac{1.54}{3.14}[/tex]
r²= 0.49
r= 0.7 m
Circumference of the wheel= [tex]2\pi r[/tex]
= 2 x 3.14 x 0.7
= 4.4 m
∴ the circumference of the wheel is 4.4 m
Type the missing number in this sequence -3, -6, -12, , -48
Answer:
-24
Step-by-step explanation:
Hey there!
First we need to find the ratio
ratio = -6/-3 = 2
r = 2
-3, -6, -12, ? , -48
T1 = a
T2 = ar
T3 = ar²
T4 = ar³
T5 = ar⁴
And so on...
T1 means first term, T2 means second term
We're finding the fourth term which is T4
Remember T1 = a = -3
So, T4 = ar³
= -3 × 2³
= -3× 8
= -24
Therefore, the fourth unknown term is -24
You're welcome y'all
what is 16 to 1 decimal place
Answer:
What is 16.00 to 1 decimal place?" is the same as asking, "What is 16.00 rounded to one decimal point?" or "How to round 16.00 to one decimal place."
The main point (pun intended), is that you want to round 16.00 to one digit or place after the decimal point. Thus, we want to eliminate the last digit in 16.00. To eliminate the last digit, we use the following One Decimal Place rules to get the answer:
One Decimal Place Rule #1: If the last digit in 16.00 is less than 5, then remove the last digit.
One Decimal Place Rule #2: If the last digit in 16.00 is 5 or more and the second to the last digit in 16.00 is less than 9, then remove the last digit and add 1 to the second to the last digit.
One Decimal Place Rule #3: If the last digit in 16.00 is 5 or more and the second to the last digit in 16.00 is 9, then remove the last digit, make the second to last digit 0, and add 1 to the number to the left of the decimal place.
When rounding 16.00 to one decimal place we use One Decimal Place Rule #1. Therefore, the answer to "What is 16.00 rounded to 1 decimal place?" is:
The area of a rectangle is represented by x^2 + 7x - 18. Factor to find binomial expressions representing the length and width. What is the difference between the length and width?
Answer:
x^2 + 7x - 18 = (x + 9)(x - 2)
The difference between length and width is x + 9 - (x - 2) = x + 9 - x + 2 = 11.
Which of the contexts below represents exponential growth?
A town's population grows at a rate of 9.2% every year.
A radioactive compound decays at a rate of 25% per hour.
A town's population shrinks at a rate of 3.5% every year.
A music service has a fixed monthly cost and charges $0.25 for each downloaded
song.
Submit Answer
The population of a town increases by 9.2% annually.
What is Exponential growth?Exponential growth is a process where a quantity grows at a constant percentage rate over time. This means that the rate of growth of the quantity itself increases as the quantity becomes larger.
According to question:The context that represents exponential growth is:
The population of a town increases by 9.2% annually.
Exponential growth occurs when a quantity grows at a constant percentage rate over time. In this case, the population of the town is growing at a constant rate of 9.2% per year, which means that the population is increasing exponentially over time.
The other options describe either decay (the radioactive compound decaying at a rate of 25% per hour) or decreasing quantities (the town's population shrinking at a rate of 3.5% every year or the fixed monthly cost of the music service).
For example, let's say that a population of rabbits grows at a rate of 10% per year. If there are initially 100 rabbits, we can use the formula to calculate the population after 5 years:
y = 100 * (1 + 0.10)^5 = 161.05
This means that after 5 years, there will be approximately 161 rabbits, which is a 61% increase from the initial population of 100 rabbits.
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Darcie wants to crochet a minimum of 3 blankets to donate to a homeless shelter. Darcie crochet at a rate of 1/15 of a blanket per day. She has 60 days until she wants to donate the blankets, but she also wants to skip crocheting some day so she can volunteer in other ways. Write and solve an inequality for how many days she can skip and still finish the blankets.
If Darcie wants to crochet a minimum of 3 blankets to donate to a homeless shelter. Darcie can skip up to 15 days and still finish crocheting at least 3 blankets before she wants to donate them to the homeless shelter.
How many days she can skip and still finish the blankets?Let's first calculate how much of a blanket Darcie can crochet in 60 days if she works every day:
1/15 blanket per day * 60 days = 4 blankets
Since Darcie wants to crochet a minimum of 3 blankets, we know that she needs to work for at least 3/4 of 60 days. Let x be the number of days Darcie can skip and still finish the blankets:
(60 - x) * 1/15 >= 3
Simplifying this inequality, we get:
4 - 1/15x >= 3
1/15x <= 1
x <= 15
Therefore, Darcie can skip up to 15 days and still finish crocheting at least 3 blankets before she wants to donate them to the homeless shelter.
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Write each expression as a product.
(a+1)^3+x^3
We can write this expression as a product of two factors:
(a + 1)³ + x³ = (a + x + 1)(a²- a x + x² + x + a + 1)
HOW TO WRITE expression as a product.?
To write an expression as a product means to represent the expression as the multiplication of two or more factors. The process of writing an expression as a product depends on the type of expression and the algebraic techniques that are available.
Here are some general steps that can be followed to write an expression as a product:
Look for common factors: If there are common factors in the expression, they can be factored out using the distributive property. For example, in the expression 3x + 6, we can factor out 3 to get 3(x + 2).
Use algebraic identities: There are many algebraic identities that can be used to factor expressions. For example, the difference of squares identity (a² - b²= (a + b)(a - b)) can be used to factor expressions that are in the form of a difference of squares.
Look for patterns: Sometimes, expressions can be factored by recognizing patterns. For example, the expression x² + 2x + 1 can be factored as (x + 1)²by recognizing that it is a perfect square trinomial.
Use polynomial division: If the expression is a polynomial with higher degree, polynomial division can be used to factor it into linear and quadratic factors.
Use the quadratic formula: If the expression is a quadratic trinomial that cannot be factored easily, the quadratic formula can be used to find the roots of the equation, which can then be used to write the expression as a product of linear factors.
Overall, writing an expression as a product requires a good understanding of algebraic techniques and a lot of practice.
We can use the formula for the sum of cubes to write the expression as a product:
(a + 1) + x³ = (a + 1 + x)(a² - a x + x²) + x³
Expanding the first factor on the right-hand side using the distributive property, we get:
(a + 1 + x)(a²- a x + x²) + x^3 = a³- a² x + a x² + a² + a x + x²+ x³
Collecting like terms, we can write this expression as a product of two factors:
(a + 1)³ + x³ = (a + x + 1)(a²- a x + x² + x + a + 1)
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Five number summary
of 72,60,64,75,79,63,70,61,78
The five number summary is: Minimum: 60 Q1 (first quartile): 63 ,Median: 70Q3 (third quartile): 75, Maximum: 79
To find the five number summary of the data set 72, 60, 64, 75, 79, 63, 70, 61, 78, follow these steps:
1. Arrange the data in ascending order: 60, 61, 63, 64, 70, 72, 75, 78, 79
2. Identify the minimum value (smallest number): 60
3. Identify the maximum value (largest number): 79
4. Calculate the median (middle number): There are 9 data points, so the median is the 5th number: 70
5. Calculate the first quartile (Q1): The lower half of the data set is 60, 61, 63, 64, 70. The median of this lower half is the
middle number, which is 63.
6. Calculate the third quartile (Q3): The upper half of the data set is 70, 72, 75, 78, 79. The median of this upper half is
the middle number, which is 75.
The five number summary is:
Minimum: 60
Q1 (first quartile): 63
Median: 70
Q3 (third quartile): 75
Maximum: 79
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three shrimp boats supply the shrimp wholesalers on hilton head with fresh catch. the annabelle takes 50% of its catch to hudson's, 20% to captain j's, and 30% to mainstreet. the curly q takes 40% of its catch to hudson's, 40% to captain j's, and 20% to mainstreet. the slojoe takes 30% of its catch to hudson's, 40% to captain j's, and 30% to mainstreet. one week hudson's received 242.7 pounds of shrimp, captain j's received 217 pounds, and mainstreet received 159.3 pounds. how many pounds of shrimp did each boat catch?
Annabelle supplied 121.35 pounds of shrimp, Curly Q supplied 96.9 pounds of shrimp, and Slojoe supplied 72.81 pounds of shrimp.
The three shrimp boats, Annabelle, Curly Q, and Slojoe, collectively supplied 242.7 pounds of shrimp to Hudson's, 217 pounds to Captain J's, and 159.3 pounds to Mainstreet.
Annabelle supplied 50% of its catch to Hudson's, 20% to Captain J's, and 30% to Mainstreet. Therefore, Annabelle supplied: (242.7 x 0.5) = 121.35 pounds of shrimp to Hudson's, (217 x 0.2) = 43.4 pounds of shrimp to Captain J's and (159.3 x 0.3) = 47.79 pounds of shrimp to Mainstreet.
In total, Annabelle supplied = 121.35 + 43.4 + 47.79 = 212.54
Curly Q supplied 40% of its catch to Hudson's, 40% to Captain J's, and 20% to Mainstreet. Therefore, Curly Q supplied (242.7 x 0.4) = 96.9 pounds of shrimp to Hudson's, (217 x 0.4) = 86.8 pounds of shrimp to Captain J's, and (159.3 x 0.2) = 31.86 pounds of shrimp to Mainstreet.
In total, Curly Q supplied = 96.9 + 86.8 + 31.86 = 215.56
Slojoe supplied 30% of its catch to Hudson's, 40% to Captain J's, and 30% to Mainstreet. Therefore, Slojoe supplied (242.7 x 0.3) = 72.81 pounds of shrimp to Hudson's, (217 x 0.4) = 86.8 pounds of shrimp to Captain J's, and (159.3 x 0.3) = 47.79 pounds of shrimp to Mainstreet.
In total, Slojoe supplied = 72.81 + 86.8 + 47.79 = 207.4
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6. Keela was making a flag of Ireland for St. Patrick's Day. She knew that the flag was exactly twice
as long as it was tall and that there were three equally sized vertical bars in green, white and orange
(from left to right). She used 9" x 12" construction paper to make her flag. The width of the green
bar was exactly two short sides of the construction paper across minus a overlap. What were the
dimensions of the final flag and how many pieces of construction paper did it take?
hat only had
The dimensions of the final flag and the number of pieces of construction paper it took would be 9 inches tall and 18 inches long.
Three (3) pieces of 9" x 12" construction paper are needed.
How to find the dimensions of the flagFirst, let's find out the dimensions of the flag. The flag is twice as long as it is tall. If the height of the flag is H, then the length L would be 2H.
Since there are three equally sized vertical bars, the length of the flag would be 3 times the width of the green bar:
L = 3(18 - a)
Now, we know that L = 2H. So,
2H = 3(18 - a)
Given that the construction paper is 9" x 12", we can try to create the flag with the minimum amount of overlap a. Since the height of the flag should be equal to the short side of the construction paper, H = 9 inches.
Now we can plug in the value of H in the equation we derived above:
2(9) = 3(18 - a)
18 = 54 - 3a
3a = 36
a = 12
Now we can calculate the dimensions of the final flag:
H = 9 inches
L = 2H = 2(9) = 18 inches
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In ma persons class 75% of the students are boys. There are 18 boys in the class . What is the total number of students in Ms persons class
The total number of students in Ms. Persons class is 24.
What is an Equation?An equation is simply a mathematical formula that expresses the equality of two expressions.
Given the data in the question:
75% of the students are boys.number of boys in the class is 18 boys.Total number of students in the class y = ?Lets y be the number of students in the class
Hence:
[tex]75\% \ \text{of y = 18}[/tex]
[tex]\text{Lets find y}[/tex]
[tex](\dfrac{75}{100} ) \times y = 18[/tex]
[tex]75 \times y = 18 \times 100[/tex]
[tex]75 \times y = 1800[/tex]
[tex]y = 1800 \div 75[/tex]
[tex]y = 24[/tex]
Therefore, the total number of students in Ms. Persons class is 24.
What is the area if the triangle.. 3" by 5" and base is 4"
Answer:
A = 6"^2
Step-by-step explanation:
the measurements are a Pythagorean triple, therefore it is a right triangle, where 3 and 4 are the legs and 5 is the hypotenuse, we use the formula 1/2 × b × h
A = 1/2 × b × h.
A = 1.5 × 4
A = 6"^2
Which of the following functions decreases as the input values approach both
negative infinity and positive infinity?
(1) f(x)=x^3 - 4x² + x
(2) g(x) = -2x^3 - 4x² +9
(3) h(x)=x^4 - 4x³ +2x+8
(4) r(x) = -x^4 +9x³ + x² +8x+2
In perspective of this, the function that degrades as input values go closer to both negative and positive infinity is [tex]g(x) = -2x^3 - 4x^2 +9[/tex] and the appropriate response is (2).
Function in mathematics?Functions are the central idea of calculus in mathematics. The functions are special types of relations. A function seems to be a rule that generates a unique outcome one per input x in mathematical. A mapping as well as transformation in mathematics represents a function.
(1) [tex]f(x) = x^3 - 4x^2 + x[/tex]
x3 and -4x2 become extremely big negative numbers as x approaches negative infinity, and x becomes a very large negative number. As a result, f(x) approaches infinity. [tex]x^3[/tex] and [tex]-4x^{2}[/tex] become extremely big positive values as x approaches positive infinity, and x becomes a very large positive number. As a result, f(x) approaches infinity. As a result, f(x) does not decrease when the input values approach negative and positive infinity.
(2) [tex]g(x) = -2x^3 - 4x^2 +9[/tex]
When x approaches negative infinity, the negative integers -2x3 and [tex]-4x^{2}[/tex] grow very big, and 9 becomes negligible. As a result, g(x) approaches infinity. When x approaches positive infinity, the negative integers -[tex]2x^3[/tex] and [tex]-4x^{2}[/tex] grow very big, and 9 becomes negligible. As a result, g(x) approaches infinity. As a result, g(x) diminishes as the input values approach negative and positive infinity.
(3) [tex]h(x) = x^4 - 4x^3 + 2x + 8[/tex]
When x approaches negative infinity, the negative integers [tex]x^4[/tex] and [tex]-4x^3[/tex] grow very big, whereas 2x and 8 become unimportant. As a result, h(x) approaches infinity. When x approaches positive infinity, the positive integers [tex]x^4[/tex] and [tex]-4x^3[/tex] grow very big, whereas 2x and 8 become unimportant. As a result, h(x) approaches infinity. As a result, h(x) does not decrease when the input values approach negative and positive infinity.
(4) [tex]r(x) = -x^4 + 9x^3 + x^2 + 8x + 2[/tex]
When x approaches negative infinity, the negative numbers [tex]x^4[/tex] and [tex]9x^3[/tex] grow quite big, whereas [tex]x^2[/tex], 8x, and 2 become unimportant. As a result, r(x) approaches infinity. When x approaches positive infinity, the negative integers [tex]-x^{4}[/tex] and [tex]9x^{3}[/tex] grow quite big, whereas [tex]x^2[/tex], 8x, and 2 become unimportant. As a result, r(x) approaches infinity. As a result, r(x) diminishes as the input values approach negative and positive infinity.
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Broonzy is on her schools battle of the books team. She still has 40 pages to read in her final book before the competition if she reads five times number of pages tonight as she read last night and then the last 10 pages tomorrow night she will be finished with her book right and solve an equation to determine how many pages Brinsey has to read tonight
Answer: 25
Step-by-step explanation:
Let x represent the number of pages Broonzy read last night. Then, 5x represents the number of pages she will read tonight. According to her plan, after reading 5x pages tonight and 10 pages tomorrow night, she will complete the remaining 40 pages. The equation can be expressed as:
x (last night) + 5x (tonight) + 10 (tomorrow night) = 40 (total remaining pages)
Combining the terms, we get:
6x + 10 = 40
Now, let's solve for x:
6x = 30
x = 5
So, Broonzy read 5 pages last night. To determine the number of pages she needs to read tonight, we multiply x by 5:
5x = 5 * 5 = 25
Therefore, Broonzy has to read 25 pages tonight to finish her book according to her plan.
in testing a certain kind of truck tire over rugged terrain, it is found that 25% of the trucks fail to complete the test run without a blowout. of the next 15 trucks tested, find the probability that
We have that, when testing a certain type of truck tire on rough terrain, it is observed that 25% of the trucks fail to complete the test without blowout, the probability that of the next 15 trucks tested, at least one will not able to complete the test run without an explosion is 0.987
How do we calculate the probability?Given that when testing a certain type of truck tire on rough terrain, it is found that 25% of the trucks do not complete the test without blowout.So, the probability that a truck completes the test without a blowout is:
P (A complete truck test without blowout) = 1 - P (A complete truck test without an explosion) = 1 - 0.25 = 0.75
Now, we need to find the probability that of the next 15 trucks tested, at least one will not complete the test without an explosion. This can be found using the complement rule. The complement of the probability that at least one truck does not complete the test without a blowout is the probability that all 15 trucks complete the test without a blowout.
P(All 15 trucks complete the test without a blowout) = P(One truck completes the test without a blowout) x P(A second truck completes the test without a blowout) x ... x P(The fifteenth truck completes the test without a blowout) = 0.75 x 0.75 x ... x 0.75 (15 times)= 0.75^15= 0.013
But we need the probability that at least one truck fails to complete the test without a blowout, which is the complement of the above probability.
P(At least one truck does not complete the test without blowout) = 1 - P(All 15 trucks complete the test without blowout)= 1 - 0.013= 0.987
Therefore, the probability that of the next 15 trucks tested, at least one will not be able to complete the test run without an explosion is 0.987.
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6
Determine if the triangles are congruent and if so,
why. (1 Point)
Congruent by SAS
Congruent by SSS
Congruent by HL
Not Congruent
C
B
A
U
A
W
The triangle congruency postulate that proves both triangles are congruent is: SSS
How to identify the congruency postulate?There are different triangle congruence postulates such as:
SSS: This denotes Side Side Side Congruency Postulate
SAS: Side angle Side Congruency Postulate
ASA: Angle Side Angle Congruency Postulate
AAS: Angle Angle Side Congruency Postulate
HL: Hypotenuse Leg Congruency Postulate
Now, from the given two triangles, we can see the following:
BC ≅ UW
AC ≅ UV
AB ≅ VW
Thus, the three sides are congruent and as such it is congruent by SSS congruency postulate
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helpp!! solve the system of equations using substitution
3x + 2y = 7
x = 3y + 6
1. ( 0, -2 )
2. ( 1, 2 )
3. ( 3, -1 )
4. ( 6, 0 )
Answer:
3. ( 3, -1 )
Step-by-step explanation:
pls help me . !!!!!!!
The exponents a and b in the simplified expression are:
a = 1
b = 7
How to simplify the expression?Remember the rules for exponents:
[tex]a^x*a^y = a^{x + y}\\\\a^x/a^y = a^{x - y}\\\\(a^x)^y = a^{x*y}[/tex]
Now we need to use these rules to simplify our expression:
[tex]\frac{x^2(y^3)^4}{x*y^5}[/tex]
We can rewrite that as:
[tex]\frac{x^2(y^3)^4}{x*y^5} = \frac{x^2}{x} *\frac{(y^3)^4}{y^5} = x^{2 - 1}\frac{y^{3*4}}{y^5} \\\\= x*y^{12 - 5} = x*y^7[/tex]
Then the values of a and b are:
a = 1
b = 7
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Please help me!!!!!!!
The range of the function is the set of all possible output values, which are {2, 6, 8, 10}. So the correct answer is option C.
Describe Function?In mathematics, a function is a rule that assigns each element of a set (called the domain) to a unique element of another set (called the range). Functions are a fundamental concept in mathematics and are used to describe relationships between variables, as well as to model and solve a wide range of mathematical problems.
A function is typically denoted using a letter such as "f", and is defined by an equation or formula that specifies how the input (or domain) values are transformed into output (or range) values. For example, the function "f(x) = 2x + 1" assigns each input value "x" to an output value equal to twice the input value plus one.
To find the range of the function f(x) = x + 3, we need to apply the function to each value in the given domain and collect the resulting outputs.
When the domain is {-1, 3, 5, 7}, we have:
f(-1) = -1 + 3 = 2
f(3) = 3 + 3 = 6
f(5) = 5 + 3 = 8
f(7) = 7 + 3 = 10
Therefore, the range of the function is the set of all possible output values, which are {2, 6, 8, 10}. So the correct answer is option C.
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Find the Area of the figure below, composed of a rectangle and a semicircle. The radius of the circle is shown. Round to the nearest tenths place.
Answer:
Step-by-step explanation:
try 39
Which graph represents the solution to this inequality?
-1/4 (12x+8) ≤ -2x+11
A. a straight line passing from minus 17 to minus 5. A ray with a red dot at point minus 9 and passes through minus 5
B.
A straight line passing from minus 17 to minus 5. A ray with a red line starts at point minus 13 and passes through minus 17
C.
A straight line passing from minus 17 to minus 5, A ray with a red dot at minus 13, and it passes through minus 5
D.
A straight line passing from minus 17 to minus 5. A ray with a red dot at point minus 9 and passes through minus 17
A straight line passing from minus 17 to minus 5, A ray with a red dot at minus 13, and it passes through minus 5.
This graph represents the solution to this inequality.
What is inequality?
An inequality in mathematics is a relation that compares two integers or other mathematical statements in an unequal way. The majority of the time, height comparisons between two numbers on the number line are made. Different types of inequalities are represented by a variety of notations.
Given inequality:
(-1/4)*(12x + 8) < -2x + 11
First, we need to solve it for knowing the value of x,
So,
(-1/4)*(12x + 8) < -2x + 11
Or, -3x - 2 < -2x + 11
Or, -2 - 11 < -2x + 3x
Or, -13 < x
A ray with a red dot at minus 13, and it passes through minus 5.
Hence the correct answer is C; a straight line passing from minus 17 to minus 5, A ray with a red dot at minus 13, and it passes through minus 5.
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When examining the plots, only one displays a straight line going from -17 to -5 and a ray going from -13 to -5. (indicating that x can be any value greater than or equal to -13) Thus, option C is correct.
What is the inequality?To solve the inequality, we can simplify it by first distributing the -1/4 on the left side:
[tex]-3x - 2 ≤ -2x + 11[/tex]
Next, we can isolate the variable on one side by subtracting -2x from both sides:
[tex]-x - 2 ≤ 11[/tex]
Finally, we can isolate the variable by adding 2 to both sides:
[tex]-x ≤ 13[/tex]
And since we want to solve for x, we need to multiply both sides by -1, which will flip the direction of the inequality:
[tex]x ≥ -13[/tex]
This means that x can be any value greater than or equal to [tex]-13[/tex] .
Therefore, Looking at the graphs, the only one that shows a straight line passing from -17 to -5 and a ray starting at -13 and passing through -5 (indicating that x can be any value greater than or equal to -13)
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Find the 8th term of the following sequence. Round to the nearest thousandth if necessary.
216, 36, 6
Answer: is it an A.P or G.P
I HAVE 5 MINS Select the expression that makes the equation true.
5.5 x (4 ÷ 2) + 3.8 = ___
3.2 x (8 ÷ 4) + 10
4.6 + (6 ÷ 2) x 2
6.4 + (10 − 3) + 4
7.8 x (12 ÷ 6) − 0.8
Determine which expressions can be simplified further.
Answer:
[tex]{ \colorbox{lightgreen}{can \: be \: simplified}} \\ \dashrightarrow \: { \sf{ \blue{9x + 6x}}} \: \: \: \: \: \\ \hookrightarrow \: { \mathfrak{simplification}} \: \: \: \\ { \sf{ = (9 + 6)x}} \\ { \underline{ \sf{ \: = 15x \: \: \: \: \: \: \: \: \: \: }}} \\ \\ \dashrightarrow \: { \sf{ \blue{4x + x}}} \: \: \\ \hookrightarrow \: { \mathfrak{simplification}} \\ { \sf{ = (4 + 1)x}} \\ { \underline{ \sf{ \: = 5x \: \: \: \: \: \: \: \: \: \: \: \: }}} \\ \\\dashrightarrow \: { \sf{ \blue{y + 2y}}} \\ \hookrightarrow \: { \mathfrak{simplification}} \\ { \sf{ = (1 + 2)y}} \\ { \underline{ \sf{ \: = 3y \: \: \: \: \: \: \: \: \: \: \: \: }}}[/tex]
[tex]{ \colorbox{lightgreen}{cannot \: be \: simplified}} \\ \dashrightarrow \: { \sf{2x + 3y}} \\ \dashrightarrow \: { \sf{7y + 1 \: \: }} \\ \dashrightarrow \: { \sf{4y + 4x}}[/tex]
What polygon is this?
Answer:
Step-by-step explanation:
irregular quadrilateral
Answer:
The name of this shape is (Irregular Pentagon)