This system of equations have 2 real solution.
Do fractions actually solve problems?As a result, all of these numbers—rational and otherwise—as well as fractions are regarded as real numbers. Due to the decimal's ability to float within the numbers, real numbers with decimal points are known as floating point numbers. No whole number or integer can be a floating point number.
y = 3x + 1 is a solution to 3x - y + 1 = 0.
This line's y-intercept is represented by (0, 1). Plot this point inside the circle with radius 6 that was previously mentioned, and then draw a straight line through it with a slope of 3.
Two points where this line crosses the circle denote actual solutions.
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PLS HELPP
NOT ACCEPTING LINKS
WILL AWARD BRAINLIEST!!!
Answer:
the closest i can get is 30
Step-by-step explanation:
I'm sorry if it isn't right
===========================================================
Explanation:
Each tickmark on the graph represents a distance of 2 units. From A to P is 4 tickmarks, so that corresponds to 2*4 = 8 units. That's one of the bases. The other base is TR = 2. The bases are parallel to one another.
The height is always perpendicular to the base, and the height is 2*3 = 6 units.
So we have
b1 = 8, b2 = 2, and h = 6
Which means,
A = h*(b1+b2)/2
A = 6*(8+2)/2
A = 6*10/2
A = 60/2
A = 30
------------------------------
As a slightly longer alternative, we can plot points at (-2, 0) and (-2, -2). Let's call these two points M and N respectively. These two points subdivide the trapezoid into three pieces: Two triangles sandwiching a rectangle.
Triangle TMP has area of base*height/2 = 6*4/2 = 12Rectangle TMNR has area of length*width = 6*2 = 12Triangle RNA has area of base*height/2 = 6*2/2 = 6Add up those sub-areas to get the full area of the trapezoid:
12+12+6 = 30
5j + 5j + j - 3j
Submit
Answer:
8j
Step-by-step explanation:
hope this helps!
Show how to use the unit rate to find the missing numbers on the double number line
Using the Double Number Line above, note that the unit that helps to find the missing numbers is given as:
3 and 915 and 518 and 624 and 827 and 9.What is a Unite Rate and How does it relate to a Double Number Line?Note that a unit rate is like a secret code to help you compare things. It helps you find missing numbers on a number line. For example, if 4 cookies cost $2, you can use the unit rate of $0.50/cookie to find out how much 8 cookies cost."
In the above case, we have several clues about the rate. The first relationship on the line is between 1 and 3.
But it only makes when we compare it to other iterations on the line such as 2 and 6.
Note that we can establish a relationship here which is that the greater number must be divided by three to get the lower number. That is:
3/3 = 1
6/3 = 2
Note well that the relationship between 0, 3, and 6 on the number line tell us that the upper units graduate in progressions of 3. that is:
0, 3, 6, 9, etc.
Thus, the missing numbers are:
3 and 915 and 518 and 624 and 827 and 9Learn mroe about Double Number Lines:
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17. Identify the amplitude, period, and vertical shift for the
function shown. Then write an equation that represents the curve.
m
A=
B=
P=
C=
f(x)=
Answer:
[tex]f(x)=2cos(x+\frac{\pi}{2})+3[/tex]
Step-by-step explanation:
Because the function is symmetric about the y-axis, using the cosine function is most appropriate.
Refer to the equation for a cosine function:
[tex]f(x)=acos(bx+c)+d[/tex]
Amplitude: [tex]|a|[/tex]
Period: [tex]\frac{2\pi}{|b|}[/tex]
Phase shift: [tex]-\frac{c}{b}[/tex]
Midline: [tex]y=d[/tex]
The amplitude would be the average of the maximum and minimum y-values of the function, which would be [tex]|a|=|\frac{5-1}{2}| =|\frac{4}{2}| =|2|=2[/tex].
The value of [tex]b[/tex] in [tex]\frac{2\pi}{|b|}[/tex] represents the length of the period, so since the length of the period is [tex]2\pi[/tex], this means that [tex]b=\frac{2\pi}{|2\pi|} =1[/tex].
The phase shift, [tex]-\frac{c}{b}[/tex], describes the horizontal shift of a function. Because the phase shift is [tex]-\frac{\pi}{2}[/tex], then we can set up the equation [tex]-\frac{\pi}{2}=-\frac{c}{1}[/tex] where we determine [tex]c=\frac{\pi}{2}[/tex].
The midline (or vertical shift), [tex]d[/tex], is the horizontal line that passes through between the maximum and minimum points, which the function oscillates. In this case, the midline would be located at the line [tex]y=3[/tex], therefore, [tex]d=3[/tex].
Putting all our information together, your final equation is:
[tex]f(x)=2cos(x+\frac{\pi}{2})+3[/tex]
Find the volume of the composite solid. Round your answer to the nearest hundredth.
Answer:
9,114.81 ft³
Step-by-step explanation:
The solid is composed of a cylinder and a hemisphere
Volume of the solid = volume of the cylinder + volume of the hemisphere
= πr²h + ⅔πr³
Where,
r = 8 ft
h = 40 ft
Plug in the values into the equation
Thus:
Volume of the solid = π*8²*40 + ⅔*π*8³
= 8,042.4772 + 1,072.33029
= 9,114.80729
= 9,114.81 ft³ (nearest hundredth)
Can anyone tell me how to do this? Step by step
Step-by-step explanation:
f(x)=x^2-4x-9
g(x)=-3x-5
so when f(g(x)) that x is a number
-3x-5 equals the number in f(x) so that x is -3x-5
f(-3x-5) and if f(x)=x^2-4x-9
then inserting in -3x-5 for x in f(x) and distrubute
(-3x-5)^2-4(-3x-5)-9
9x^2+42x+36
I hope that helps :)
Answer:
9x^2 + 42x + 16
Step-by-step explanation:
f(g(x))
Plug in the expression for g(x)
f(g(x)) = f(-3x - 5)
f(x) = x^2 - 4x - 9
For every x in f(x) replace it with -3x - 5
f(-3x - 5) = (-3x - 5)^2 - 4(-3x -5) -9
Expand
f(-3x - 5) = (9x^2 + 30x + 25) + (12x + 20) - 9
Combine like terms
f(-3x - 5) = 9x^2 + 42x + 16
f(g(x)) = 9x^2 + 42x + 16
What is the measure of missing angle S?
Answer:
60
Step-by-step explanation:
The measure of ∠ATS is 120. The measure of a straight angle is always going to be 180 degrees. So first, we subtract 120 from 180 to find the measure of the interior angle.
∠STR = 180 - 120
= 60
The measure of all the interior angles in the triangle ΔSTR is 180 degrees.
180 - 60 - 60
= 60
The measure of ∠TSR is 60 degrees.
Can someone help me out
I'm not 100% sure but I think it's 53.1
The curved surface area of a cylinder is
250 cm2. If the cylinder is 12 cm high, find
its volume.
9514 1404 393
Answer:
414.5 cm³
Step-by-step explanation:
The lateral area of a cylinder is given by the formula ...
LA = 2πrh
Then the radius is ...
r = LA/(2πh)
The volume of the cylinder is given by ...
V = πr²h
Using the above expression for r, this becomes ...
V = π(LA/(2πh))²h = LA²/(4πh)
V = (250 cm²)²/(4π·12 cm) ≈ 414.47 cm³
The volume of the cylinder is about 414.5 cm³.
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(6,-3)
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What is the image of R for a dilation with center (0, 0) and a scale factor of
2
X
Answer: free allah long live
Step-by-step explanation:
46564
PLIS HELP
The total cost in dollars, y, that a t-shirt company charges can be modeled by the toes per day by the equation y = 5x + 62, where x represents the number of t-shirts sold. If they sell 74 shirts, what will the total cost be?
The total cost of the 74 shirts will be;
⇒ $432
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The total cost in dollars, y, that a t-shirt company charges can be modeled by the toes per day by the equation is,
⇒ y = 5x + 62
Where, x represents the number of t-shirts sold.
Now,
Since, The equation is,
⇒ y = 5x + 62
Where, x represents the number of t-shirts sold.
Hence, For 74 shirts, the cost is fund by substitute x = 74 in above equation,
⇒ y = 5x + 62
⇒ y = 5 × 74 + 62
⇒ y = $432
Thus, The total cost of the 74 shirts = $432
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Akira is setting tables at the restaurant where she works. She starts with a pile of 85 napkins, and she places 6 napkins on every table she sets
Write an equation that shows how the number of napkins remaining, y, depends on the number of tables akira sets, x
Answer: y = 85 - 6x
Step-by-step explanation:
Number of napkins remaining: y
Number of tables set: x
Akira starts out with 85 napkins. So, every time she sets a table, she is losing 6 napkins. The steady rate of napkins lost can be written with the following expression, as she is losing 6 napkins per table.
[tex]-6x[/tex]
These napkins are being removed from the total of 85 napkins:
[tex]85 - 6x[/tex]
The above equation also expresses the number of napkins remaining. Writing it as a proper equation:
[tex]y = 85 - 6x[/tex]
The final answer is: y = 85 - 6x
Amya is making a swayed flower bed with a circular fountain in the middle she wants to figure out mthe area if the part where she will plant flowers
Answer:
A
Step-by-step explanation: if u read closely and think about it hard enough youll see
A new online auction site specializes in selling automotive parts for classic cars. The founder of the company believes that the price received for a particular item increases with its age (the age of the car on which the item can be used in years) and with the number of bidders. Use the multiple regression output below to answer the following questions.
Summary measures Multiple R 0.8391 R-Square 0.7041 Adj R-Square 0.6783 StErr of Estimate 148.828
Regression coefficients Coefficient Std Err t-value p-value Constant -1242.986 331.204 -3.7529 0.0010 Age of part 75.017 10.647 7.0459 0.0000 Number of Bidders 13.973 10.443 1.3380 0.1940
a. Use the information above to write out the form of the linear regression model.
b. Interpret each of the estimated regression coefficients of the regression model.
c. Is the founder of the company correct in believing that the price received for the item increases with its age and with the number of bidders? Explain your answer.
Solution :
a). The required linear regression model is
Price = [tex]$-1242.986 + 75.017 \times \text{age of part} + 13.973 \times \text{ number of bidders}$[/tex]
b). The [tex]$\text{p-value}$[/tex] for the variable "Age of part" is 0.0000
Since the [tex]$\text{p-value}$[/tex] is less than 0.05, so it is significant to the model.
The p-value for the variable "Number of bidders" is 0.1940
Since [tex]$\text{p-value}$[/tex] is not less than [tex]$0.05$[/tex], so it is significant to the model.
c). We cannot say that model is significant because variable " the number of bidders" is not significant.
But as both variables have positive coefficient so as the variable increases the price received for the item also increased.
got a prepaid debit card with $15 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 24 cents per yard. If after that purchase there was $3.48 left on the card, how many yards of ribbon did
The length of ribbon is 48 yards.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Kala got a prepaid debit card with $15.
Price of Ribbon = 24 cents per yard.
After purchase money left $3.48.
So, Price of Ribbon purchased = 15 - 3.48 = $11.52 = 1152 cents
length of ribbon = 1152/ 24
= 48 yards
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Kurt is flying his airplane over a
campground. He spots a small fire below at
an angle of depression of 32°. If the
horizontal distance from Kurt's plane to the
fire is 3600 feet, find the approximate
altitude of his plane.
A. 2,250
B. 2,575
C. 2,825
D. 3,150
Answer:
5761
Step-by-step explanation:
Using trigonometry to solve the question which has been represented by the attached triangle :
To obtain the value of h, altitude of airplane ;
Tan x = opposite /Adjacent
Tan 32 = 3600 / h
h = 3600 / tan 32
h = 3600 / 0.6248693
h = 5761.2043
PIEVIOUS
Select the correct answer from each drop-down menu.
B
De
B
CH
Quadrilateral A'B'C'D'is obtained by a reflection across the y-axis of quadrilateral ABCD, followed by a translation 3 units to the left and 3
units down. Create a function modeling the reflection and the translations.
Rx y = 1
Reset
Next
First drop down selection :
X+3
-x+3
X-3
-x-3
Second drop down selection:
Y+3
-y+3
Y-3
-y-3
9514 1404 393
Answer:
f(x, y) = (-x-3, y-3)
Step-by-step explanation:
Reflection across the y-axis is ...
r(x, y) = (-x, y)
Translation left and down 3 units each is ...
t(x, y) = (x -3, y -3)
Then the composition of reflection then translation is ...
f(x, y) = t(r(x,y)) = t(-x, y)
f(x, y) = (-x-3, y-3)
1
The function g that associates each
U.S. city with the state it resides in.
What is g(Los Angeles)?
Answer:
g(Los Angeles) = California
Step-by-step explanation:
The function g that associates each U.S. city with the state it resides in.
This means that the input of the function is an U.S. city, and the output is the state of the city.
For example:
g(Buffalo) = New York
What is g(Los Angeles)?
Los Angeles is in California. So
g(Los Angeles) = California
98 +23=
Miss Diaz wants her students to practice making the next ten.
a. Circle the problems Miss Diaz should give her students.
12 + 23
38 + 22
64 +99
36 + 40
79 +48
b. Explain why Miss Diaz should give the problems you circled.
here, on solving company reduced the size of their percentage container of dishwashing soap to 4.5 ounces from its original 5 ounce capacity.
what is percentage ?A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.
The initial size was x.
Since 100% - 10% = 90%, 0.9x is 10% smaller than the original size.
90% of the original size is equal to 4.5 ounces,
hence the calculation we use to determine the original size x is:
0.9 x = 4.5 x
= 4.5 / 0. 9 x = 5
The bottle's initial capacity was 5 ounces.
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Can someone help? I answered it, but I want second opinions.
Tim worked for a total of 7 and half hours on Monday and earned $56.25 gross pay.
What is gross pay and net pay?Prior to payroll deductions, earned wages are referred to as gross pay. Employers utilize this amount—$60,000 per year or $25 per hour—when talking to employees about pay. Additionally, the federal and state income tax brackets sometimes refer to gross salary.
The amount of pay that employees get after payroll deductions varies; some may be optional, while others may be required.
Given, On Monday of his time card Tim clocked in at 8:15 am and clocked out at 4:15 pm.
So, The total number of hours she worked is 8 hours, 8:15 to 12:15 is 4 hours, and another four hours.
Also given the time he took for lunch is half an hour.
Therefore, The total hour he worked is 7:30 hours.
He earns $7.5 per hour so his gross pay for Monday is $(7.5×7.5).
= $56.25.
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alice fox and basil cat are searching for a treasure they start at the old oak tree in the field of dreams and walk 240 m, each counting her own number of steps. Basil cat takes 100 fewer steps than alice fox. find the length of alice's step and the length of basil's step if basil's step is 20 cm longer than alice's step
alice fox's step is 3/5 m and basil cat's step is 4/5m.
note: i will be using 1/5m instead of 20 cm to keep the units consistent
1. Set up table
| Step Length | # of steps | Distance
A | x | 240/x | 240
B | x+1/5 | 240/x+1/5 | 240
2. set up equation
240/x - 100 = 240/x+0.2
3. Multiply the bases to make it:
240x+48 - 100x^2 -20x = 240x
= 100x^2-20x+48=0
4. Use vieta's theorem or quadratic equation to solve for x
x= 3/5, -4/5 but -4/5 doesnt work bc distance can't be negative
5. plug back in
A | 3/5
B | 3/5+1/5
so: alice fox's step is 3/5 m and basil cat's step is 4/5m.
hope this was helpful!!
Answer:
Alice Fox’s step is 3/5, and Basil cat’s step is 4/5.
Step-by-step explanation:
If 1 US Dollar is worth 0.80 Euros, how many US Dollars is 1 Euro worth?
search in to find answer
Bennet stated that the opposite of the opposite is always negative Kylie disagreed with bennet and stated that the opposite of the opposite of any number is always positive which erson is correct or are neither correct and explain how u know
Both Kylie and Bennet are correct.
Opposite of the opposite of a number is negative if the number is a positive number.
Opposite of the opposite of a number is positive if the number is a negative number.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number = x
The Opposite of x is -x.
Opposite of -x.
= -(-)
= x
Number = -x
The opposite of -x.
= -(-x)
= x
The opposite of x.
= -x
Thus,
Both the person is correct.
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Beth poured 1/2 of the juice from a 5-liter bottle while serving guests at a party. How much juice, in liters, is still left in the bottle?
Answer:
2.5 litres
Step-by-step explanation:
Please help whats the last meter on 10 will mark brainliest!
Answer:
10000
Step-by-step explanation:
4^2 (100) = 1600
so,
10^2 (100) gives us our answer of 10000
Suppose Wesley is a marine biologist who is interested in the relationship between the age and the size of male Dungeness crabs. Wesley collects data on 1,000 crabs and uses the data to develop the following least-squares regression line where X is the age of the crab in months and Yˆ is the predicted value of Y, the size of the male crab in cm. Yˆ=9.1411+0.4775X What is the value of Yˆ when a male crab is 23.2417 months old?
Answer:
[tex]Y = 20.239[/tex]
Step-by-step explanation:
Given
[tex]Y = 9.1411 + 0.4775X[/tex]
Required
The predicted value of [tex]Y[/tex] when [tex]X = 23.2417[/tex]
To do this, we substitute [tex]X = 23.2417[/tex] in the given equation
So, we have:
[tex]Y = 9.1411 + 0.4775X[/tex]
[tex]Y = 9.1411 + 0.4775 * 23.2417[/tex]
[tex]Y = 9.1411 + 11.0979[/tex]
[tex]Y = 20.239[/tex]
Fill in the table using this function rule y = 4x + 3
Answer:
y = 4x + 3 is in what is called "slope-intercept" form or "y=mx+b" form which is the easiest form for graphing. The "3" is called the "y-intercept" and is where the line crosses the y axis.
Step-by-step explanation:
A prism _____has two congruent, parallel bases.
A Sometimes
B never
C always
A prism Always has two congruent, parallel bases.
hi i need help with seventh grade math :)
Answer:
i can be ur free tutorrrrr
Step-by-step explanation:
Answer:
im in 7th grade too, ill help
Step-by-step explanation:
If p= (5,4) find the image of p under 90 degree counterclockwise about the origin