Which equation represents the relation that is shown in the graph?

Cost of Buying Comic Books
On a coordinate plane, a graph titled Cost of Buying Comic Books has number of issues on the x-axis and total cost on the y-axis. A line goes through points (0, 0), (1, 3.5), (2, 7).

y = x + 2/7
y = x + 7/2
y = 2/7 x
y = 7/2x

The  expression represents the total surface area of the prism is

2 (5 * 7) + 2 (4 * 7) +  2  (4 * 5)

The term "TSA" stands for "Total Surface Area" of a prism. The Total Surface Area represents the  sum of the areas of all the faces (including the bases) of the prism.

for the rectangular prism, the Total Surface Area can be calculated using the formula:

TSA = 2lw + 2lh + 2wh

where

l = 5

w = 4

h = 7

plugging in the values gives

TSA = 2 (5 * 7) + 2 (4 * 7) +  2  (4 * 5)

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Answer:

y

a= ——

(r + 1 )t

Step-by-step explanation:

divide both sides

Answer:

Y - X = 1.5

Step-by-step explanation:

Y = 3

X = 1.5

Answer:

solar

Step-by-step explanation:

Correct option is D, The perimeter of the trapezoid J K L M is units 9 + StartRoot 2 EndRoot + StartRoot 5 EndRoot units (= 9 + √5 + √2 units. )

The length of a two-dimensional shape's boundary is its perimeter. It is frequently referred to as the sum of the lengths of the sides of the object. Such shape's perimeter is equal to the side lengths added together algebraically. We have formulas for the various geometric shapes.

The vertices of KLMN an isosceles trapezoid are (-7,4), (-4,4), (-2,3), (-8,3).

perimeter of trapezoid JKLM = sum of sides

Using distance formula \(\sqrt{(x2-x2)^2 + (y2 - y1)^2}\),

Distance between the sides of trapezoid is,

(-7,4), (-4,4) =

\(\sqrt{(-7 + 4)^2 + (4 - 4)^2}\\= \sqrt{9}\\= 3 units\)

(-4,4), (-2,3) =

\(\sqrt{(-2 + 4)^2 + (3 - 4)^2}\\= \sqrt{5} units\)

(-2,3), (-8,3) =  

\(\sqrt{(-8 + 2)^2 + (3-3)^2}\\= \sqrt{6}^2\\= 6 units\)

(-7,4), (-8,3)

\(\sqrt{(-8 +7)^2 + (3-4)^2}\\= \sqrt{-1^2 + -1^2}\\= \sqrt 2 $ units $\)

So, the sum of sides will be -

= 3 + √5 + 6 + √2

= 9 + √5 + √2 units.

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Answer:

its D

Step-by-step explanation:

i took the test on edg

Answer:

the 3rd, 4th, and 5th one

Step-by-step explanation:

Answer:

Step-by-step explanation:

:)

Answer:

66.5 in or 5.5 ft (rounded)

Step-by-step explanation:

Answer:

5 ft    6 1/2 inches

Step-by-step explanation:

6 1/4 ft

1/4 ft is 3 inches

6 ft 3 inches

Subtract 8 1/2 inches

6 ft  3 inches

-      8  1/2 inches

------------------------------

borrow from the ft  ( 1 ft = 12 inches)

5 ft  3+12 inches

-      8  1/2 inches

------------------------------

5 ft  15 inches

-      8  1/2 inches

------------------------------

5 ft    6 1/2 inches

9514 1404 393

Answer:

  the input that will cause function V to have an output of 80

Step-by-step explanation:

The interpretation of a function V(x) is ...

  the output of function V that corresponds to the input x

__

The corresponding interpretation of the inverse function V^-1(x) is ...

  the input to function V that will cause its output to be x

__

Then the meaning of V^-1(80) is ...

  the input to function V that will cause its output to be 80

The given graph shows that the function is periodic and fluctuates between y = -2 and y = 2. So, the range of the function is [-2,2].

The graph covers one period, which is from x = -3 to x = 3, and then repeats itself indefinitely in both directions. So, the domain of the function is (-∞, ∞).

In general, the domain of a function consists of all the possible input values that the function can take. In this case, since the function repeats itself indefinitely, it can take any input value from negative infinity to positive infinity.

So, the domain is (-∞, ∞). The range of a function, on the other hand, consists of all the possible output values that the function can produce.

In this case, the function oscillates between y = -2 and y = 2, so the range is [-2,2]. The interval notation for the domain is (-∞, ∞) and for the range is [-2,2].

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Group B has lower range.

Group A shows variability.

Mean is the best to make concussion about age of Salsa students.

Upon visual examination, it appears that Group A is likely to have a lower average age of music students compared to Group B.

This inference is supported by the observation that the majority of data points in Group B are concentrated around younger ages.

In contrast, Group A exhibits a more dispersed distribution of data points across a wider range of ages, including higher.

So, Group B has lower range.

and, Group A shows variability.

Lastly, Mean is the best to make concussion about age of Salsa students.

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Answer: 18

Step-by-step explanation:

Given:

A straight line goes through (-2,1), (0,0), and (2,-1).

To find:

The slope of the given line.

Solution:

Slope formula

\(m=\dfrac{y_2-y_1}{x_2-x_1}\)

Consider any two points from the given points.

The line goes through (-2,1) and (0,0). So, the slope of the line is

\(m=\dfrac{0-1}{0-(-2)}\)

\(m=\dfrac{-1}{2}\)

Therefore, the slope of the line is \(m=-\dfrac{1}{2}\).

Answer:

its 2/3

Step-by-step explanation:

The end behavior of the function f(n) = 3(n + 2)²(n - 3)(n - 2) is given as follows:

The end behavior of a function refers to how the function behaves as the input variable approaches positive or negative infinity.

The function for this problem is given as follows:

f(n) = 3(n + 2)²(n - 3)(n - 2).

Considering the degree, the function can be interpreted as follows:

\(3n^4\)

(for the limit when the input goes to infinity we consider only the term with the highest degree).

The leading coefficient is positive and the exponent is even, hence the end behavior is given as follows:

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The value of y is -8 if the x  -24 and y varies directly with x, and If y = 4 when x = 12.

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

The question is incomplete.

The complete question is:

If y varies directly with x, and If y = 4 when x = 12, how do you find y when x = -24?

y ∝ x  (given)

y = kx

k is the constant of proportionality.

4 = 12k  (y = 4, and x = 12)

k = 1/3

y = x/3

Plug x = -24

y = -24/3

y = -8

Thus, the value of y is -8 if the x  -24 and y varies directly with x, and If y = 4 when x = 12.

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Answer:

To find the amount in the bank after 7 years, we can use the formula:

A = P(1 + r/n)^(nt)

where:

A = the amount in the bank after 7 years

P = the principal amount (initial investment)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

For the given problem:

P = $4000

r = 10% = 0.1

t = 7 years

a) Compounded Annually:

n = 1

A = 4000(1 + 0.1/1)^(1*7) = $7449.36

b) Compounded Quarterly:

n = 4

A = 4000(1 + 0.1/4)^(4*7) = $7650.13

c) Compounded Monthly:

n = 12

A = 4000(1 + 0.1/12)^(12*7) = $7727.27

d) Compounded Continuously:

n → ∞ (as n approaches infinity)

A = Pe^(rt) = 4000e^(0.1*7) = $8193.85

Therefore, the amount in the bank after 7 years increases as the compounding frequency increases. If interest is compounded continuously, the amount in the bank will be the highest.

The solution to the algebraic problem is \(x^{2}\)

What is an Algebraic Equation?

An algebraic equation is a mathematical statement that sets two expressions equal to each other. An algebraic equation is typically made up of a variable, coefficients, and constants.

Solution:

(\(x^{3}\) – 1) = (x+2)

On dividing (\(x^{3} - 1\)) by (x+2)

The first term of the quotient will be x^2 by following the Long Division Method of Algebraic Division.

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Answer:

The slope is -4/3. It is making me type out 20 characters. turn that off please

3 1/5 = y - 12/25

31/5+y = -12/25

31+y = -12/25×5

31+y = -12/5

y = -12/5-31

y = -143/5

y = -28.6

HOPE IT HELPS

Answer:

z+11y/5 = x

Step-by-step explanation:

Since you are solving for x, you want to isolate the variable. You do that by adding 11y to both sides, which cancels out the -11y. From that you should have z+11y = 5x. To cancel out the 5x you need to divide both sides by 5 to get z+11y/5 = x. Hope this helps :)

The surface area of the solid formed is approximately, 598.3 in².

Surface area of the solid is the area covered by the solid all round.

The given parameters are:

Surface area of the solid formed = 5(10×10) + (0.5×10×8.67) + 3(10×1.83) = 598.3 in²

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Answer:

The initial value is the value of the y-coordinate when the x-coordinate is equal to 0. That is the same to say the value at which the graph intercepts the y-axis. So, you just have to pick the graph whose line intercepts the y-axis at 1/2.

Professor Holmes is making this effort to ensure the (C) reliability of the TAs' grades.

Certain mistakes might never be corrected. It is also possible to later reverse an edit that fixed a mistake.

Wikipedia shouldn't be used as the sole source of information, for this reason.

The Signpost, non-article pages, articles, and non-English Wikipedias are all included in this.

In contrast to reference books, many items in the online encyclopedia are well-researched, reviewed for quality, and frequently kept up to date.

Nonetheless, even 20 years after its inception, the content of the encyclopedia can still be changed, sometimes almost imperceptibly.

Therefore, professor Holmes is making this effort to ensure the (C) reliability of the TAs' grades.

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Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached image below to see the step by step explanation to the question above.

Answer:

Step-by-step explanation:

D

The inequality statement 7.745966… < √59 is true.

The symbol √59 represents the square root of 59, which is approximately 7.681146. The value 7.745966… is a decimal representation of the square root of 59 that has been rounded to three decimal places. Because 7.681146 is less than 7.745966, the inequality statement 7.745966… < √59 is true.

The function g(x) in the form a(x-h)^2 + k is: \(g(x) = (x + 2)^2 - 4\)

Starting with\(f(x) = x^2\), the translation 2 units left and 4 units down would result in the following transformation:

g(x) = f(x + 2) - 4

Substituting\(f(x) = x^2:\)

\(g(x) = (x + 2)^2 - 4\)

Expanding the square:

\(g(x) = x^2 + 4x + 4 - 4\)

Simplifying:

\(g(x) = x^2 + 4x\)

Now we need to rewrite this expression in the form \(a(x-h)^2 + k.\) To do this, we will complete the square:

\(g(x) = x^2 + 4x\\g(x) = (x^2 + 4x + 4) - 4\\g(x) = (x + 2)^2 - 4\)

Therefore, the function g(x) in the form a(x-h)^2 + k is:

\(g(x) = (x + 2)^2 - 4\)

Where a = 1, h = -2, and k = -4.

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Answer:

3(x+4)

Step-by-step explanation:

unknown number = x

sum of a number and 4 = (x+4)

then the sum is multiplied by 3 so

3(x+4)

Also can be distributed out

3(x) + 3(4)

3x+12

Answer:

\(\huge\boxed{\sf 38}\)

Step-by-step explanation:

= a³ + b (6 + c)

Put a = 2, b = 3 and c = 4

= (2)³ + 3 (6 + 4)

= 8 + 3(10)

= 8 + 30

\(\rule[225]{225}{2}\)

Answer:

Step-by-step explanation:

the requied answer is 38.

according to the question the value of a=2,b=3,c=4.

here,

to find the value of   a³ + b (6 + c)we have to do it in steps:

step 1: solve the bracket (6+4) =10.

step 2:  solve the value of a³ =8.

now put these values ,

=8+3(10)

=38.

Answer:

Step-by-step explanation:

D=106

E=54

F=20

D is an AEA im pretty sure meaning itʻll be equal to 106

E Is a vertical angle to 54

and for F everything will equal to 180 so 180-106-54=20

I hope this helps have a good day!

Answer:

d=106,e=54, f=20

Step-by-step explanation:

Answer:

A will be the answer hope this will help u

Answer:

the correct option is A. (-5,-7)

like (5,-7) I. e (+,-) lies in the 3rd quadrant and the opposite of 3rd quadrant vertically is the 2nd quadrant.

so, the answer should come as (-,-) according to the 2nd quadrant.

so, answer will be (-5,-7)

I hope it's correct.