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2 years ago

Add or subtract. Simplify your answer. x+2/x^2−100 + 8/x^2−100

1 answer:

8 0

$\dfrac{x+2}{x^2-100}+\dfrac{8}{x^2-100}=\dfrac{x+2+8}{x^2-100}=\dfrac{x+10}{x^2-10^2}\\\\=\dfrac{x+10}{(x+10)(x-10)}=\dfrac{1}{x-10}\to\fbox{B.}\\\\\\The\ domain:\\D:m\neq0\ and\ m\neq-7\\\\\dfrac{1}{m}=\dfrac{2}{m+7}\ \ \ \ |cross\ multiply\\\\2\cdot m=1\cdot(m+7)\\2m=m+7\ \ \ \ |subtract\ "m"\ from\ both\ sides\\\boxed{m=7}$

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2. Consider the function, f(x)=x^3+x^2-9x-9

Sedaia [141]

The intercepts of the graph are:

x-axis interception: $\left(-1,\:0\right),\:\left(-3,\:0\right),\:\left(3,\:0\right)$ .

y-axis interception: $\left(0,\:-9\right)$ .

See the graph of the function $f(x)=x^3+x^2-9x-9$ in the attached image.

<h3>Constructing a graph</h3>

For constructing a graph we have the following steps:

Determine the range of values for x of your graph.

For this exercise, for example, we can define a range -4<x<4. In others words, the values of x will be in this interval.

Determine the points

Replace these x-values in the given equation. For example:

When x=-4, we will have: $\left(-4\right)^3+\left(-4\right)^2-9\left(-4\right)-9=-21$ . Do this for the all x-values of your ranges.

See the results for this step in the attached table.

Draw the graph

Mark the points <u>x</u> and<u> y</u> that you found in the last step. After that, connect the dots to draw the graph.

The attached image shows the graph for the given function.

<h3>Find the x- and y-intercepts</h3>

The intercepts are points that crosses the axes of your plot. From your graph is possible to see:

x-axis interception points (y=f(x)=0) are: $\left(-1,\:0\right),\:\left(-3,\:0\right),\:\left(3,\:0\right)$ .

y-axis interception point (x=0) is: $\left(0,\:-9\right)$ .

Learn more about intercepts of the graph here:

brainly.com/question/4504979

5 0

2 years ago

HELP ME PLEASE IM SO LOST

DiKsa [7]

A=10ft because A is 8ft so round that to the nearest ten your answer is 10ft

6 0

3 years ago

Read 2 more answers

If y=3 when x=9 find x when y=1<br> & if y=2 when x=0.5 find y when x=3

hram777 [196]

I got -19/655 and i know for sure this isnt the correct answer.

4 0

3 years ago

Ayanna is 3 years older than Brittany. The sum of 3 times Brittany's age and 2 times Ayanna's age is 76. How old are Ayanna and

Alex_Xolod [135]

Ayanna is 17 and Brittany is 14.

To find this, let's write two equations using the given information.

a = b + 3
3b + 2a = 76

Now, just substitute the first equation into the second and solve.

3b + 2(b + 3) = 76
3b + 2b + 6 = 76
5b = 70
b = 14

If Brittany is 14, then Ayanna is 3 years older at 17.

7 0

2 years ago

Need help have pictures I will mark you the brainiest

morpeh [17]

Answer: If m<aob the x=2

4 0

3 years ago