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3 years ago

Giving brainlist to whoever answers

Mathematics

1 answer:

levacccp [35]3 years ago

6 0

Answer. Is d. I’m guessing

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Kevin loves the new video game rental store and he has a membership. When Kevin rented 2 games, he had spent a total of $25 of h

sveticcg [70]

Answer:

Step-by-step explanation:

Let x represent the number of video games that Kevin rents.

Let y represent the total amount that he paid for x video games rental.

The slope intercept form of an equation is expressed as

y = mx + c

Where

m = slope

c = intercept

When Kevin rented 2 games, he had spent a total of $25 of his money. When Kevin rented 2 more video games (4 total), he then had spent $30 total of his money at this store all together. Therefore,

Slope, m = (30 - 25)/(4 - 2) = 5/2 = 2.5

To determine the intercept, c, we will substitute m = 2.5, x = 4 and y = 30 into y = mx + c. It becomes

30 = 2.5 × 4 + c

30 = 10 + c

c = 30 - 10 = 20

The Slope-Intercept Form to model how much Kevin pays per x video game rentals with his store membership becomes

y = 2.5x + 20

The cost per video game rental is $2.5

The membership fee is $20

6 0

3 years ago

What multiplies into 12 and adds into 17

vivado [14]

Nothing multiplies into 12 and adds into 17. Factors of 12 are 1,2,3,4,6, and 12. None of those add up to 17.

4 0

3 years ago

Let V be the volume of the solid obtained by rotating about the y-axis the region bounded y = 4x and y = x2/4 . Find V by slicin

aliya0001 [1]

Answer:

Step-by-step explanation:

Consider the graphs of the $y = 4x$ and $y = \frac{x^{2} }{4}$ .

By equating the expressions, the intersection points of the graphs can be found and in this way delimit the area that will rotate around the Y axis.

$4x = \frac{x^{2} }{4} \\ x^{2} = 16x \\ x^{2} - 16x = 0 \\ x(x-16) = 0$ then $x=0$ o $x=16$ . Therefore the integration limits are:

$y = 4(0) = 0$ and $y = 4(16) = 64$

The inverse functions are given by:

$x = 2 \sqrt{y}$ and $x = \frac{y}{4}$ . Then

The volume of the solid of revolution is given by:

$\int\limits^{64}_ {0} \, [2\sqrt{y} - \frac{y}{4}]^{2} dy = \int\limits^{64}_ {0} \, [4y - y^{3/2} + \frac{y^{2}}{16} ]\ dy = [2y^{2} - \frac{2}{5}y^{5/2} + \frac{y^{3}}{48} ]\limits^{64}_ {0} = 546.133 u^{2}$