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2 years ago

R^2+7r+10/3 / 3-30/r2-5r-50

2 answers:

8 0

Multiply r^2+7r+10/3 by 3r-30/r^2-5r-50
<span>=( r^2+7r+10)/3 (3r-30)/(r^2-5r-50) </span>
<span>=(r+2)(r+5)/3 3(r+10)/ (r-10)(r+5) </span>
<span>=3 (r+2)(r+5)(r+10)/3(r-10)(r+5) </span>
<span>=(r+2)(r+10)/(r-10)</span>

Simora [160]2 years ago

3 0

Answer:

umm i think its r+2

Step-by-step explanation:

((r²+7r+10)/3) × (3r-30)/(r²-5r=50)= Factoring the expression (r²+7r+10) we get (r+2)(r+5)

Then multiply it with the other numerator, we get = (r+2)(r+5)(3(r-10)

Then we factorise = (r²-5r-50) = (r+5)(r-10)

Multiplying it with the other denominator, we have; = 3(r+5)(r-10)

Therefore dividing (r+2)(r+5)(3(r-10)/(3(r+5)(r-10) we get; = r+2

Therefore, the correct answer is r+2 (NOT MY WORK) (YAY)

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You cut a styrofoam ball in half for a project. Find the surface area of each half of the styrofoam ball.

uranmaximum [27]

Answer:

The question needs to state the radius of the styrofoam ball.

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3 years ago

Evaluate the following expressions if a = 2, b = 3, x = 4, and y = 5.<br> b^2+3(2x-y)

butalik [34]

Hi there! Hopefully this helps!

-------------------------------------------------------------------------------------------------------

<h2 /><h2>Answer: 18</h2><h2>~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~</h2><h2 />

First we need to substitute the value of the variable into the expression.

$b^{2}+3(2x-y)$ = $3^{2} + 3 (2(4)-5)$ .

Now we need to solve $3^{2} + 3 (2(4)-5)$ .

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

$3^{2} + 3 (2(4)-5)$

First, calculate 3 to the power of 2 and get 9.

$9+3(2\times 4-5)=18$

Multiply 2 and 4 to get 8.

$9+3(8-5) =18$

Subtract 5 from 8 to get 3.

$9+3\times 3 =18$

Multiply 3 and 3 to get 9.

$9+9 =18$ .

<h2>And the answer is, you guessed it, 18!</h2>

7 0

2 years ago

Solve the equation Square root of x minus 5+ 7 = 11 for the variable. Show each step of your solution process. (10 points)

Murrr4er [49]

$\sqrt{x - 5} + 7 = 11$

$(\sqrt{x-5}) ^{2} = (4)^{2}$

|x - 5| = 16

x - 5 = +/- 16

x - 5 = 16 or x - 5 = -16

x = 21 or x = -11

Answer: x = {21, -11}

5 0

2 years ago

Calculate the average rate of change of f(x) = 1 x - x2 - 2 for 3 ≤ x ≤ 6. A) -163 18 B) -18 163 C) 163 18 D) 18 163

larisa86 [58]

To solve this we are going to use the average rate of change formula: $A(x)= \frac{f(b)-f(a)}{b-a}$
where
$A(x)$ is the average rate of change of the function
$f(a)$ is the position function evaluated at $a$
$f(b)$ is the position function evaluated at $b$
$a$ is the first point in the interval
$b$ is the second point in the interval

We can infer for our problem that the first point is 3 and the second point is 6, so $a=3$ and $b=6$ . Lets replace those values in our formula:
$A(x)= \frac{f(b)-f(a)}{b-a}$
$A(x)= \frac{f(6)-f(3)}{6-3}$
$A(x)= \frac{6-6^2-2-(3-3^2-2)}{3}$
$A(x)= \frac{-32-(-8)}{3}$
$A(x)= \frac{-32+8}{3}$
$A(x)= \frac{-24}{3}$
$A(x)=-8$

We can conclude that the average rate of change of the function f(x) = 1 x - x2 - 2 for <span>3 ≤ x ≤ 6 is -8</span>

3 0

3 years ago

Read 2 more answers

SOMEONE HELP ME PLEASE ILL GIVE BRAINLY

e-lub [12.9K]

Answer:

Step-by-step explanation:

In order to determine the information you're being asked for, you need to complete the square on that quadratic. The first step is to move the constant over to the other side of the equals sign:

$x^2-2x=3$

Here would be the step where, if the leading coefficient isn't a 1, you'd factor it out. But ours is a 1, so we're good there. Now take half the linear term (the term with the single x on it), square it, and add it to both sides. Our linear term is a -2. Half of -2 is -1, and -1 squared is +1. We add +1 to both sides giving us this:

$x^2-2x+1=3+1$

Now we'll clean it up a bit. The right side becomes a 4, and the left side is written as its perfect square binomial, which is the whole reason we did this. That binomial is

$(x-1)^2=4$ (set equal to the 4 here). Now we'll move the 4 back over and set the whole thing back equal to y:

$y=(x-1)^2-4$

From this it's apparent what the vertex is: (1, -4),

the axis of symmetry is x = 1, and

the y-intercept is found by setting the x's equal to 0 in the original equation and solving for y. So the y-intercept is (0, -3).

Your choice for the correct answer is the very last one there.

8 0

2 years ago