A rectangle prism by 577.2 cubic feet. The prism is 5.2 feet long and 7.4 feet wide. What is the height of the prism?

Write the equation of a possible rational

kondor19780726 [428]

Answer:

The graph has a removable discontinuity at x=-2.5 and asymptoe at x=2, and passes through (6,-3)

Step-by-step explanation:

A rational equation is a equation where

$\frac{p(x)}{q(x)}$

where both are polynomials and q(x) can't equal zero.

1. Discovering asymptotes. We need a asymptote at x=2 so we need a binomial factor of

$(x - 2)$

in our denomiator.

So right now we have

$\frac{p(x)}{(x - 2)}$

2. Removable discontinues. This occurs when we have have the same binomial factor in both the numerator and denomiator.

We can model -2.5 as

$(2x + 5)$

So we have as of right now.

$\frac{(2x + 5)}{(x - 2)(2x + 5)}$

Now let see if this passes throught point (6,-3).

$\frac{(2x + 5)}{(x - 2)(2x + 5)} = y$

$\frac{(17)}{68} = \frac{1}{4}$

So this doesn't pass through -3 so we need another term in the numerator that will make 6,-3 apart of this graph.

If we have a variable r, in the numerator that will make this applicable, we would get

$\frac{(2x + 5)r}{(2x + 5)(x - 2)} = - 3$

Plug in 6 for the x values.

$\frac{17r}{4(17)} = - 3$

$\frac{r}{4} = - 3$

$r = - 12$

So our rational equation will be

$\frac{ - 12(2x + 5)}{(2x + 5)(x - 2)}$

or

$\frac{ - 24x - 60}{2 {x}^{2} + x - 10}$

We can prove this by graphing

5 0

2 years ago

Help ..........................................

Aleksandr [31]

The correct answer is 2.5×10^2
Hope this helped :)

6 0

3 years ago

I will name you brainliest!

liq [111]

Answer:

Step-by-step explanation:

a specific shade of red nail polish requires 7 parts of red to 2 parts of yellow. A mixture contains 35 quarts of red and 8 quarts of yellow.

How can you fix the mixture to make the correct shade of red?

:

The red:yellow ratio is 7:2, we can write the mixture as 7%2F9 or 77.8% red

:

The existing mixture of 35:8 is a 43 quart mixture and can be written as: 35%2F43 or 81.4% red

:

we need to add yellow to reduce the per cent of red

:

Let y = amt of yellow required to do this

:

7%2F9*(y+43) = 35

Multiply both sides by 9

7(y+43) = 9 * 35

7y + 301 = 315

7y = 315 - 301

7y = 14

y = 14/7

y = 2 quarts of yellow to be added, for total mixture of 45 quarts

;

:

Check this, it still contains 35 quarts of red but the percentage has changed

35%2F45 = 77.8% red which is what we want, a ratio of 7:2

here you go i hope it helps

4 0

3 years ago

BRAINLIEST FOR WHOEVER ANSWERS FIRST!!!!

Fofino [41]

Answer:

x = 34

Step-by-step explanation:

ΔABD and ΔBCD are both isosceles triangles

In ΔABD

AB =AD, hence ∠ABD = ∠ADB ( base angles are equal )

∠ABD = $\frac{180-44}{2}$ = $\frac{136}{2}$ = 68°

∠DBC = 180° - 68° = 112° ( straight angle )

∠BCD = x = $\frac{180-112}{2}$ = $\frac{68}{2}$ = 34

4 0

3 years ago

For the functions f(x)=−7x^2−x and g(x)=9x^2−4x, find (f−g)(x) and (f−g)(1)

musickatia [10]

Answer:

See below.

Step-by-step explanation:

$f(x)=-7x^2-x\\g(x)=9x^2-4x\\(f-g)(x)=f(x)-g(x)\\(f-g)(x)=(-7x^2-x)-(9x^2-4x)\\(f-g)(x)=-7x^2-x-9x^2+4x\\(f-g)(x)=-16x^2+3x\\\\(f-g)(1)=-16(1)^2+3(1)\\(f-g)(1)=-16+3=-13$

5 0

3 years ago