Select the graph that correctly displays the solution of the system of inequalities. y > 2x – 4 y ≤ –x – 7
Answers
The solution to the system of given inequalities is (-7, 0).
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
The given system of inequalities are y> 2x-4 and y≤ -x-7.
The solution of the system of inequalities is the intersection region of all the solutions in the system.
x<y/2 +2 and x≤-y-7
The solution of the system of inequalities is (-7, 0)
Therefore, the solution to the system of given inequalities is (-7, 0).
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Related Questions
what is the greatest common factor of 30b^2, 80b^, 20b^3?
Answers
Answer:
10b^2
Step-by-step explanation:
30b^2: 5 * 2 * 3 * b^2
80b^2: 5 * 2 * 2 * 2 *2 * b^2
20b^3: 5 * 2 * 2 * b^2 * b
The highest common factor is in bold script. It is 10b^2
the instructions are on the image please help me and please hurry!
Answers
The elements in matrix X is attached below
What is MatrixMatrix is a mathematical construct consisting of an array of numbers, symbols, or expressions, arranged in rows and columns. It is most often used to represent linear relationships between two or more variables. Matrices are commonly used in science and engineering to represent systems of equations and in computer programming for representing data and performing operations on it.
In this problem, we can easily find x by reversing the variables and solve.
A - X = B
X = A - B
The elements in the matrix can be solved easily using an online calculator.
The value of x is attached below
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I don’t under this pls help thank you
Answers
Answer: 8%
Step-by-step explanation:
What is the greatest common factor of 20 and 65
Answers
Answer:
5
Step-by-step explanation:
Answer:I believe it would be 5
Step-by-step explanation:
because if you do it on a table chart you reach five first as the same number
Two piggy banks have a sum of $36.50. The first piggy bank has $13.75. How much does the second piggy bank have in it?
Answers
Answer:
22.75
Step-by-step explanation:
ur welcome hOWdAy
What is an equation for the linear function whose graph contains the points (9, 7) and (4, −8)?
Enter your answers in the boxes.
y−
=
(x−9)
Answers
The line that passes through these two points is y=x-2
What are linear equations?Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.
Given here function whose graph contains the points (9, 7) and (4, −8)
Thus using the two point formula for a line we get the equation as
y-7=(x-9)
y=x-2
Hence, The line that passes through these two points is y=x-2
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The vertex form of the equation of a parabola is y = 7(x-3)2 + 4. What is the standard form of the equation?
A. y = 7x2 - 42x+67
B. y = 7x2 - 6x + 22
C. y = 14x2 - 6x + 22
D. y = 14x2 - 12x + 44
Answers
Answer:
the standard form of the equation is: a. y=7x^2-42x+67
HELPPPPPPPPPPPPPPPPPPPPPPP
Answers
30
I DONT KNOW BUT THAT'S MY ANSWER HOPE IT HELP
Step-by-step explanation:
Is it +30 or - 30
If it was -ve under root it will be complex or imaginary number but it is a easy question
8. Each day, Amy walks to school. She leaves her home
and walks south 7 blocks to her friend's house. They then
turn to the west and walk 12 blocks to the school. At the
end of the day, Amy walks directly from the school to
her home.
a) To the nearest tenth (one decimal place), how many
blocks does Amy walk on her way home?
<+
-10
-10
Home s
-5
Friend's house
-5
-10
5
10
School
S
b) How many blocks does Amy walk in one day for her round trip to the school and back
home? Round to the nearest tenth.
Answers
32. 9 blocks for b
Explanation below
Answer:
(a) 13.9 blocks (nearest tenth)
(b) 32.9 blocks (nearest tenth)
Step-by-step explanation:
The given scenario can be modeled as a right triangle.
If Amy walks south 7 blocks, one leg of the triangle is 7.
If Amy then walks west 12 blocks, the other leg of the triangle is 12.
Part (a)To calculate the number of blocks Amy walks on her way home if she walks directly from school to her home, find the length of the hypotenuse of the right triangle.
[tex]\boxed{\begin{minipage}{9 cm}\underline{Pythagoras Theorem} \\\\$a^2+b^2=c^2$\\\\where:\\ \phantom{ww}$\bullet$ $a$ and $b$ are the legs of the right triangle. \\ \phantom{ww}$\bullet$ $c$ is the hypotenuse (longest side) of the right triangle.\\\end{minipage}}[/tex]
Substitute a = 7 and b = 12 into Pythagoras Theorem and solve for c (hypotenuse):
[tex]\implies 7^2+12^2=c^2[/tex]
[tex]\implies 49+144=c^2[/tex]
[tex]\implies 193=c^2[/tex]
[tex]\implies c=\sqrt{193}[/tex]
[tex]\implies c=13.8924439894...[/tex]
Therefore, Amy walks 13.9 blocks (nearest tenth) on her way home.
Part (b)To calculate the number of blocks Amy walks in one day for her round trip to school and back home, sum the side lengths of the right triangle:
[tex]\implies 7 + 12 + 13.9 = 32.9[/tex]
Therefore, Amy walks 32.9 blocks (nearest tenth) in one day for her round trip to school and back home.
value of y please help me
Answers
Step by step
We know the triangle dum is equal to 180
One angle is 40, so 180 - 40 = 140
The two angles labeled x are congruent, so 140 / 2 = 70.
X = 70
Now the supplement angle of x and 5y = 180 degrees.
70 + 5y = 180
Subtract 70 from both sides to isolate y
70 - 70 + 5y = 180 - 70
Simplify
5y = 110
Divide both sides by 5 to solve for y
5/5 y = 110/5
y = 22
calculate the surface area
help plsss
Answers
find the area of the two triangles and double them(or just not divide by two on both of them since they’re being doubled anyways) and then add the area of the bottom rectangle.
19.
A box contains only quarters and dimes. If there were 10% more quarters, the total
value of the money in the box would increase by 7.5%. What is the ratio of the number of quarters to the
number of dimes in the box? Express your answer as a common fraction.
Answers
Answer:
The ratio of the number of quarters to the number of dimes in the box is 9:10
Step-by-step explanation:
Michael has a bag of marbles. The frequency of selecting each color is recorded in the table below.
Outcome Frequency
Green 4
Black 6
Orange 5
Based on the given frequency, determine the experimental probability of selecting an orange marble.
0.27
0.33
0.40
0.67
Answers
Orange marble selection has a 0.33 experimental probability.12 over 60 is the experimental probability of landing on a number smaller than 2
what is probability ?Probability theory, a subfield of mathematics, gauges the likelihood of an event or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a comprehensive set of equally likely outcomes that result in a certain occurrence compared to the total number of outcomes.
given
In each of the three studies, Sandy's experimental probability matched the theoretical probability to the letter.
The theoretical likelihood of landing on orange is one-fourth, but the actual likelihood is 20%.
Orange marble selection has a 0.33 experimental probability.
12 over 60 is the experimental probability of landing on a number smaller than 2.
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what does a duck say
Answers
Answer:
theres three possible answers, they either QUACK, HONK, or hum
Step-by-step explanation:
100 points please answer
Answers
The best answer is to simplifying each of the identity separately to get the same expression on both sides. Option C
What are trigonometric identities?Trigonometric identities are described mathematically as equalities consisting of trigonometric functions that proves true for all the value of occurring variables for which both sides of equality are defined.
These involve certain functions of one, two or more angles.
They also are different from triangle identities, which involves angles and side lengths of a triangle.
To verify a trigonometric identity, we take the following steps;
Convert the equalities to terms of sine and cosine.Solve the identities at possible timesThen, simplify the left-hand side of the equation, before simplifying the right-hand side.Hence, the best option is C
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6) This weekend, Eric makes sandwiches for 5 hours and delivers orders for
4 hours. How much money does he save?
6) Eric saves $
this weekend.
Answers
Answer:
$53
Step-by-step explanation:
You can just substitute the values in the equation
The amount Eric saves this weekend is $53.
What is an expression?Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
We are given that;
Sandwiches= $10
Order delivery= %14
Now,
To find how much money he saves this weekend, you need to substitute s = 5 and d = 4 into the expression and simplify. Here are the steps:
1/2(10s + 14d)
= 1/2(10(5) + 14(4))
= 1/2(50 + 56)
= 1/2(106)
= 53
Therefore, by the expression the answer will be $53.
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There are three modes of transporting material from New York to Florida, namely, by land, sea, or air. Also land transportation may be by rail or highway. About half of the materials are transported by land, 30% by sea, and the rest by air. Also, 40% of all land transportation is bay highway and the rest is by rail shipments. The percentage of damaged cargo are, respectively. 10% by highway, 5% by rail, 6% by sea, and 2% by air. (a) What percentage of all cargos may be expected to be damaged
Answers
Answer:
5.7%
Step-by-step explanation:
% Prob (Land) = Half ie 50% ; % Prob (Sea) = 30%
% Prob (Air) = Remaining ie 100% - 50% - 30% = 20%
Prob (Land highway) = 40% of land = 40% of 50% = 20%
Prob (Land rail) = remaining ie 60% of land = 60% of 50% = 30%
Pr (Damage by Land) = 10% of rail + 5% of rail = 10% of 20% + 5% of 30% = 2% + 1.5% = 3.5%
Prob (Damage by Sea) = 6% of sea = 6% of 30% = 1.8%
Prob (Damage by Air) = 2% of air = 2% of 20% = 0.4%
Total Prob (Damage) = 3.5% + 1.8% + 0.4%
= 5.7%
Can anyone help me fill in the other blanks
Answers
On solving the problem we got that, 17yds and 11yds are its length and width
What does perimeter mean?The circumference of an item is known as its perimeter. For instance, your home has a yard that is enclosed. The length of the fence is the perimeter. The length of your fence is 200 feet if the yard is 50 feet by 50 feet.
length =L
width = W
length is 6 yd longer than its width,
L = 6 + W
perimeter is 56yds:
[tex]56= 2(L + W) \\ = > 68 = 2(6 + W) + 2W\\= > 12+ 2W + 2W = 56\\= > 4W = 44\\= > W = 11 yds\\= > L = 11+6 = 17 yds[/tex]
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75 yd
40 yd
What is the length of the hypotenuse.
Help
Answers
75^2+40^2=x^2
5625+1600=7225
Square root of 7225 is 85
So hypotenuse is 85 yd
A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6. Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°
Answers
Answer:
The three statements that are always true regarding this diagram are:
m∠3 + m∠4 + m∠5 = 180°
m∠2 + m∠3 + m∠5 = 180°
m∠2 + m∠3 = m∠6
Here's why:
The sum of the measures of the interior angles of a triangle is always 180°. Therefore, m∠2 + m∠3 + m∠5 = 180°.
The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles. Therefore, m∠4 = m∠2 + m∠5, and m∠3 + m∠4 + m∠5 = 180°.
The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles. Therefore, m∠6 = m∠2 + m∠3.
The other two statements are not always true. For example, if m∠5 = 100° and m∠3 = 80°, then m∠5 + m∠3 = 180°, but m∠4 ≠ 0°. Similarly, if m∠5 = 100° and m∠6 = 80°, then m∠5 + m∠6 ≠ 180°.
Step-by-step explanation:
A spinner at the fair has 5 sections. The sections are numbered 10, 20, 30, 40, and 50. During the first hour, players spun the spinner 200 times. The results are shown in the table below. Results for the First Hour Spinner Number Number of Times Spun 50 10 40 20 30 40 20 50 10 80 During the last hour of the fair, the arrow on the spinner was spun 50 times. Based on information from the table, what number is the most reasonable prediction of the number of times the arrow stopped on 30?
Answers
Answer:
im guessing 30 or 40
Step-by-step explanation:
what is 3 1/2 x 2 1/3
Answers
Answer:
8 1/6
Step-by-step explanation:
The product of fractions 3 1/2 × 2 1/3 = 49/6 or can also express it as a mixed fraction: 8 1/6.
To multiply mixed fractions like 3 1/2 and 2 1/3, follow these steps:
Step 1: Convert the mixed fractions into improper fractions.
3 1/2 = (3 × 2 + 1) / 2 = 7/2
2 1/3 = (2 × 3 + 1) / 3 = 7/3
Step 2: Multiply the numerators and denominators of the fractions.
(7/2) × (7/3) = (7 × 7) / (2 × 3) = 49/6
Step 3: Simplify the resulting fraction, if possible.
49/6 cannot be simplified further.
Therefore, 3 1/2 × 2 1/3 = 49/6 or can also express it as a mixed fraction: 8 1/6.
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round to the nearest ten
Answers
Answer:
A
Step-by-step explanation:
The given dimensions:
Height = 12 in
Radius = 9 in
Recall the cylinder volume formula: [tex]V=\pi r^2h[/tex]
where r = radius and h = height
Using the dimensions stated above, plug in the values into the formula
[tex]V=\pi 9^212\\9^2=81\\81\pi =254.4690049\\254.4690049*12=3053.628059\\V=3053.628059[/tex]
Finally, round answer to the nearest tenth
Your answer would be A.3053.6
jakie pole ma prostokąt o wymiarach 50cm x 16dm?
Answers
Solution
16 dm=160 cm
50 cm* 160 cm= 8000 cm²= 0,8 m²
odp C
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answers
Answer:
75
Step-by-step explanation:
Answer:
75 km
Step-by-step explanation:
Use the Pythagorean Theorem
c² = a² + b²
c² = = 72² + 21²
c² = 5,184 + 441
c² = 5,625
Take the square root of both sides
c = 75 km
The value of a brand new car is \$25,000$25,000 and the value depreciates 17% every year. Write a function to represent the value of the car after tt years, where the quarterly rate of change can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage rate of change per quarter, to the nearest hundredth of a percent.
Answers
Answer:
25,000 - .17t
Step-by-step explanation:
What is the value of sin(7pi/4)? See attached.
Answers
Answer:
-sqrt(2)/2 , the last option of your document.
Step-by-step explanation:
sin(7pi/4) = -sin(7pi/4 - pi)
= -sin(7pi/4 - 4pi/4)
= - sin(3pi/4)
sin(3pi/4) is a special angle , which is sqrt(2)/2
Hence, sin(7pi/4) = -sin(3pi/4)
= -sqrt(2)/2
Answer:
-sqrt(2)/2
Step-by-step explanation:
did the test
Estimate 11,319+4,865 by first rounding each number to the nearest thousand.
Answers
Answer:
16,000
Step-by-step explanation:
11,319 rounded to the nearest thousand is 11,000.
4,895 rounded to the nearest thousand is 5,000.
11,000 + 5,000 is equal to 16,000.
Write the ratio for Tan M.
Answers
Answer:
Step-by-step explanation:
Only answer question 2
Answers
to find out how much $ she earned per day, all you have to do is divide $2,100 by 70, which is $30.
i hope this helps!!
70x=$2100
70 days and “x” being the amount of money made for each of those 70 days.
7x3 is 21 so 70x30 equals 2100
Answer is B $30