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2 years ago

If 18 is subtracted from twice the square of an integer, the

Mathematics

1 answer:

kherson [118]2 years ago

6 0

Answer:

-3/2

Step-by-step explanation:

Let x = the integer:

2x^2 - 18 = 9x

2x^2 - 9x - 18 = 0

Now either factor that or use the quadratic formula if you're lazy like me.

x = -3/2 and 6, so x must be 6 because it has to be an integer.

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Drag each tile to the correct location on the image. Each tile can be used more than once, but not all images will be used.

OverLord2011 [107]

Answer:

Switch x and y, and solve for y

$f^{-1}(x) =\frac{(x -4)^3}{8}$

Step-by-step explanation:

Given

$f(x) = 3\sqrt{8x} + 4$

Required

Complete the steps to determine the inverse function

Solving (a): Complete the blanks

Switch x and y, and solve for y

Solving (b): Determine the inverse function

$f(x) = \sqrt[3]{8x} + 4$

Replace f(x) with y

$y = \sqrt[3]{8x} + 4$

Switch x and y

$x = \sqrt[3]{8y} + 4$

<u>Now, we solve for y</u>

Subtract 4 from both sides

$x -4= \sqrt[3]{8y} + 4-4$

$x -4= \sqrt[3]{8y}$

Take cube roots of both sides

$(x -4)^3= 8y$

Divide both sides by 8

$\frac{(x -4)^3}{8} = y$

So, we have:

$y =\frac{(x -4)^3}{8}$

Hence, the inverse function is:

$f^{-1}(x) =\frac{(x -4)^3}{8}$

7 0

3 years ago

a reciple calls for 6 cup of water and 4 cups of flour if the reciple is increased to use 6 cups of flour how much water shoud b

Setler79 [48]

Ratio and propoertion
6 to 4=x to 6
6:4=x:6
6/4=x/6
3/2=x/6
mutiply both sides by 6
18/2=x
9=x
answer is 9 cups of water

5 0

3 years ago

Farmer Ed has 8,000 meters of fencing & wants to enclose a rectangular plot that borders a river. If farmer Ed does not fenc

attashe74 [19]

Answer:

largest area that can be enclosed = 8,000,000 m²

Step-by-step explanation:

Since it is a rectangle plot, the area is expressed as; A = xy, where x is length and y is width.

Because it is next to the river, he only needs to fence three sides, so amount of fencing; F = x + 2y.

Since we know the amount of fencing available is 8000m, we get:

8000 = x + 2y

solving for x, we have;

x = 8000 - 2y

substitute 8000 - 2y for x into the area equation to give;

A = (8000 - 2y)y distribute

A = -2y² + 8000y

Now, due to the negative sign next to 2, this will be a parabola which opens down, meaning that the point of maximum area will be at the vertex,

Thus; y = -b/2a = -8000/[2(-2)] = 2000

x = 8000 - 2(2000) = 4000

A = 4000(2000) = 8,000,000 m²

8 0

3 years ago

If s = 1 over 4 unit and A = 80s2, what is the value of A, in square units? square unit(s). (Input whole number only.) (1 point)

9966 [12]

Answer:

Step-by-step explanation:

3 0

3 years ago

Marvin wants to purchase a rectangular rug. It has an area represented by the expression 4x^2+64x+256. what is the length and wi

jasenka [17]

Answer: the length and width are

(x + 8) and (x + 8)

Step-by-step explanation:

The rug has an area represented by the expression

Area = 4x² + 64x + 256.

The factors in the factored expressions represent the length and width of the rug.

Dividing the the equation by 4, it becomes

x² + 16x + 64 = 0

We would find two numbers such that their sum or difference is 16x and their product is 64x^2.

The two numbers are 8x and 8x. Therefore,

x² + 8x + 8x + 64 = 0

x(x + 8) + 8(x + 8) = 0

The factors are

(x + 8)(x + 8)

7 0

3 years ago