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Dima020 [189]
4 years ago
15

Alana runs a game at the fair and needs to count the people who play. At the beginning of her shift 56 people had played. This t

able shows the total number of players for several times during Alana's shift. Hours into Alana's shift (x) 0 1 2 3 Total number of players (y) 56 70 84 98 What is the equation in slope-intercept form that represents the total number of players over time? Choose the correct expressions from the drop-down menus to correctly complete the equation.
Mathematics
2 answers:
Bingel [31]4 years ago
8 0

Answer:

y=14x+56

Step-by-step explanation:

Question says to find the equation in slope intercept form that means we have to use y=mx+b form.

Where b is the initial value or you can say y-value when x=0

Given that at shift x=0, number of people y=56

so that means b=56

now find the difference between consecuitve value of y

70-56=14

84-70=14

98-84=14

We are getting constant difference of 14 so that mean slope m=14

now plug values of m and b into y=mx+b

Then final answer will be y=14x+56

Luba_88 [7]4 years ago
3 0

Answer:

y=14x+56

Step-by-step explanation:

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The base of a solid is the region in the first quadrant bounded by the line x=-2y+6 and the coordinate axes. What is the volume
nika2105 [10]

Answer:

V = \frac{4y^3}{3} -12y^2 +36 y \Big|_0^3

V= \frac{4(3)^3}{3} -12(3)^2 +36 (3) -0 = 36-108+108= 36

Step-by-step explanation:

For this case we have the following plot on the figure attached.

We know on this case that x = -2y+6 represent our radius for the square, since we need cross sections perpendicular to the y axis.

We find the intersection points like this:

x= 0 , y=3

y=0, x=6

Since we are assuming squares for the cross sections the area is given by A = r^2 where r = x= -2y+6.

Since our radius is on terms of x we can create a integral with limits on x in order to find the volume, And we can use the following integral in order to find the volume.

V = \int_{0}^3 (-2y+6)^2 = \int_{0}^3 4y^2 -24y +36 dy

On the left part we are using the following property from algebra:

(a+b)^2 = a^2 +2ab +b^2

(-2y+6)^2 = (-2y)^2 +2*(-2y)(6) +(6)^2 = 4y^2 -24y+36

And after do the integral we got this:

V = \frac{4y^3}{3} -12y^2 +36 y \Big|_0^3

V= \frac{4(3)^3}{3} -12(3)^2 +36 (3) -0 = 36-108+108= 36

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3 years ago
Rolando is making buttons that are shaped like circles. Each button has an area of
shutvik [7]
Lets work backwards. π r2 = 62 cm. 62 / 3.14 = 17.75. Square root of 17.75 = 4.21. Okay, now using the radius of 4.21 we will use the formula C = 2 πr. C = 2 (3.14)(4.21) = 2 (13.22) = 26.44. So the circumference of each button is approximately 26.44 cm.
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Answer:

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Step-by-step explanation:

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Eddi Din [679]

Answer:

Examine the given sequence. Which statement is not correct?

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C) If c = 14.4, the relationship is exponential and f(x) = 10(1.2)(x − 1) for x = {1, 2, 3, ...}.  

D) If c = 14.4, the relationship is exponential. a1 = 10 and an + 1 = an + 1.2 for n = {1, 2, 3, ...}.

Step-by-step explanation:

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Answer:

0.5×2/2=1/2 is the required fraction.

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