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Elan Coil [88]
3 years ago
6

The cost of renting a game at the video store can be described by the function y=5x+4

Mathematics
1 answer:
topjm [15]3 years ago
6 0

Answer:

2 days

Step-by-step explanation:

Use the given formula

y = 5x + 4

The information:

y is the money spent

x is the number of days

It is known that Justin spent $18

so now just substitute in that value

$18 = 5x + 4

and simplfiy by inverse operations

18 = 5x + 4

-4        -4

14 = 5x

/5    /5

2.8 = x

As per this problem, one can infer that renting a game is done by days, and will be charged in days, hence renting a game for 0.8 days is pointless

meaning that the final answer is 2 full days

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Answer:b

Step-by-step explanation:

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3 years ago
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What are the solutions of the equation x^4 – 5x^2 – 36 = 0? Use factoring to solve.
hammer [34]

Answer:

Step-by-step explanation:

The equation is x^4 – 5x^2 – 36 = 0

We will break the middle term:

Firstly multiply the coefficient of x^4 by constant term of the equation:

1*36 = 36

Now find any two numbers whose product is 36 and their sum or difference is equal to 5

9*4 = 36

9-4 = 5

Now,

x^4 – 5x^2 – 36 = 0

x^4-9x^2+4x^2-36=0

Now take the common:

x^2(x^2-9)+4(x^2-9)=0

(x^2+4)(x^2-9)=0

x²+4=0,

x²= 0-4,

x²=-4,  

Take root on both sides:

√x²=+/-√-4

+/-√-4 = +/-√-1 *√4

√-1 = i

Then +/-√-1 *√4 = √4 i

We know that the root of 4 is 2

Then we can write it as +/-2i

Thus x = 2i , -2i

Now (x^2-9)= 0

x²=0+9

x²=9

Take square root on both sides:

√x²=√9

x=+/-3

x= 3, -3

Therefore the values of x are 2i, -2i, 3 , -3 ....

3 0
2 years ago
A can of soup has a diameter of 2.5 inches and a height of 4 inches. What is the area of the label for the can? Round your answe
il63 [147K]

Answer:

Step-by-step explanation:

Diameter d = 2.5 inches

Height h = 4 inches

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4 0
3 years ago
Find the perimeter of a rectangle whose length is 3 cm greater than its height, and whose area is 40 cm².
jonny [76]

Answer: 26\ cm

Step-by-step explanation:

The perimeter of a rectangle can be calcualated with this formula:

P=2l+2h

Where "l" is the lenght and "h" is the height.

 The area of a rectangle can be found with this formula:

A=lh

Where "l" is the lenght and "h" is the height.

In this case we know that:

A=40\ cm^2

Therfore, we can susbsitute them into A=lh and solve for "h" in  order to find its value:

40=(h+3)h\\\\40=h^2+3h\\\\h^2+3h-40=0

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The positive value is the height. Then:

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Since the length is 3 centimeters greater than its height, we get that this is: Then:

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8 0
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Hi!

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The third number line is equals to -2\frac{1}{2}

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The fifth number line is equals to 0

The sixth number line is -2\frac{3}{4}

The answer is; second, fourth and fifth number lines.

<em></em>

<em>I hope, I could help.</em>

<em>Wish Good Lessons! ^-^</em>

6 0
3 years ago
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