All categories

3 years ago

Divide : algebraic fractions

Mathematics

1 answer:

ryzh [129]3 years ago

4 0

Answer: C

Step-by-step explanation:

$\frac{r+5}{r^{2}+5r-14}$ ÷ $\frac{r^{2}+4r-21}{r-2}$

= $\frac{r+5}{r^{2}+5r-14}$ * $\frac{r-2}{r^{2}+4r-21}$

= $\frac{r+5}{(r+7)(r-2)}$ * $\frac{r-2}{(r+7)(r-3)}$

= $\frac{(r+5)(r-2)}{(r+7)(r-2)(r+7)(r-3)}$

= $\frac{r+5}{(r+7)(r+7)(r-3)}$

You might be interested in

Solve this system of linear equations. separate x and y values with a comma. 7x=-67-11y 5x=-73-11y

Aleks [24]

Answer:

3, -8

(x is equal to 3 and y is equal to -8)

Step-by-step explanation:

The system:

{ 7x=-67-11y

{ 5x=-73-11y

Finding a value for x:

7x=-67-11y -> x = $-\frac{67}{7}$ - $\frac{11y}{7}$

Solving for y by plugging in our x:

[Equation] 5x = -73 -11y

[Plug-in] 5( $-\frac{67}{7}$ - $\frac{11y}{7}$ ) = -73 -11y

[Distribute the 5] $-\frac{335}{7}$ - $\frac{55y}{7}$ = -73 -11y

[Multiply by 7] 7 ( $-\frac{335}{7}$ - $\frac{55y}{7}$ ) = (-73 -11y) 7

[Simplify] -335 - 55y = -511 - 77y

[Add 335 and 77y to both sides] 22y = -176

[Divide by 22] y = -8

Plug in our y to solve for x:

5x = -73 -11y

5x = -73 -11(-8)

5x = -73 + 88

5x = 15

x = 3

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

5 0

3 years ago

Which exponential equation is equivalent to this logarithmic equation?

salantis [7]

Answer:

the answer is A

Step-by-step explanation:

$log_{x}(5 \times 12 ) = 7 \\ \: then \: log_{x}(60) = 7 \\ \: then \: {x}^{ log_{x}(60) } = {x}^{7} \\ {x}^{7} = 60$

6 0

3 years ago

1. if h(x)=(fog)(x) and h(x)=3sqrt7x+1, find f(x) and g(x)

xeze [42]

1. h(x) = 3 $\sqrt{7x+1}$

Let f(x) = 3x and g(x) = $\sqrt{7x+1}$

2. N(x) = ( $\sqrt{2x}$ )⁵

Let f(x) = x⁵ and g(x) = 2x and h(x) = $\sqrt{x}$

7 0

3 years ago

2/3 ÷ 3/4 Express your answer in simplest form

ad-work [718]

Answer:

$\frac{8}{9}$

Step-by-step explanation:

$frac{2}{3}$ ÷ $\frac{3}{4}$

$frac{2}{3}$ × $frac{4}{3}$ = $\frac{8}{9}$

3 0

3 years ago

Read 2 more answers

New York City has a population of 8.55 million and 300 square mile. Manhattan has 1.64 million and 23 square miles. How much gre

harkovskaia [24]

Given :

New York City has a population of 8.55 million and 300 square mile area .

Manhattan has 1.64 million and 23 square miles area .

To Find :

How much greater is the population density of Manhattan than New York City.

Solution :

Population density of New York City :

$D_{NY}=\dfrac{8.55}{300}=0.029 \ million/mile^2\\\\D_{M}=\dfrac{1.64}{23}=0.071 \ million/mile^2$

Now ,

$D_{M}-D_{NY}\\\\(0.071-0.029)=0.042\ million/miles^2$

Therefore , population density of Manhattan is $0.042\ million/miles^2$ greater than New York City .

Hence , this is the required solution .

4 0

3 years ago