The box plot shows the calorie count in a few meals from a fast food chain. What is the largest number of calories in a meal?

12. Determine the slope of the line having the equation 2x + y = 12

Virty [35]

Answer:

b. -2

Step-by-step explanation:

Note the slope-intercept form: y = mx + b

Note that:

y = (x , y)

m = slope

x = (x , y)

b = y-intercept

First, isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Subtract 2x from both sides of the equation:

2x (-2x) + y = (-2x) + 12

y = -2x + 12

Remember, m is the variable for the term that stands for the slope (directly next to the x variable). In this case, your answer will be -2

b. -2 is your answer.

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4 0

2 years ago

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What characteristics are true for all linear, exponential and quadratic functions

sweet-ann [11.9K]

Answer:

D) The domain of the function is all real numbers

Step-by-step explanation:

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4 0

3 years ago

A net and the prism it will form when it is folded are shown below.

Mashcka [7]

Answer:

Option A)724 square centimeters

Step-by-step explanation:

we know that

The surface of the prism is equal to the area of its six rectangular faces

The surface area is equal to

$SA=2B+PH$

where

B is the area of the base

P is the perimeter of the base

H is the height of the prism

we have

$L=12\ cm$

$W=11\ cm$

$H=10\ cm$

Find the area of the base B

$B=LW$

$B=(12)(11)=132\ cm^{2}$

Find the perimeter of the base P

$P=2(L+W)$

$P=2(12+11)=46\ cm$

Find the surface area SA

$SA=2(132)+(46)(10)=724\ cm^{2}$

6 0

2 years ago

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If y is a positive integer, for how many different values of y is RootIndex 3 StartRoot StartFraction 144 Over y EndFraction End

loris [4]

Answer:

2 possible values

Step-by-step explanation:

The given expression is:

$\sqrt[3]{\frac{144}{y} }$

In order for this to result in a whole number, 144/y must be a perfect cube, the possible perfect cubes (under 144) are:

1, 8, 27, 64, 125

The values of y that would result in those numbers are:

$y=\frac{144}{1}=144 \\y=\frac{144}{8}=18 \\y=\frac{144}{27}=5.333\\y=\frac{144}{64}=2.25\\y=\frac{144}{125}=1.152$

Only two values of y are integers, therefore, there are only two possible values of y for which the given expression results in a whole number.

7 0

2 years ago

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The net of a square pyramid is shown: What is the surface area of the figure? (A)0.7625 square inch

aniked [119]

Answer:

C. 0.6625 square inches

Step-by-step explanation:

To get the area of the net of a square pyramid;

We need to find the are of the square base and the area of the four triangles;

Area of the square base = s²

= (0.25 in)²

= 0.0625 in²

Area of one triangle = 0.5 × b × h

= 0.5 × 0.25 in × 1.2 in

= 0.15 in²

Area of the four triangles = 0.15 in² × 4

= 0.6 in²

Therefore;

Area of the net square pyramid = 0.0625 in² + 0.6 in²

= 0.6625 square inches

6 0

3 years ago