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valina [46]
3 years ago
12

Multiply x^2-8x+15/3x * 8x/x-3

Mathematics
1 answer:
sergejj [24]3 years ago
5 0
You must follow the steps below:

 1. First, you should apply the dstributive property:

 =(x²-<span>8x+15/3x)(8x/x-3)
 =(8</span>x³-64x²+120x)/3x(x-3)

 2. As you can see, the common factor in the numerator is: "8x". So, you have:

 =8x(x²-8x+15)/3x(x-3)

 3. Then, when you simplify, you obtain:

 =8(x²-8x+15)/3(x-3)

 Therefore, the solution is: 8(x²-8x+15)/3(x-3)
 
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A child is hopping along a sidewalk. The ratio table below shows the comparison between the number of hops and the distance trav
natima [27]
First we rewrite the table:
 20    30
 50    75
 80    120
 150   ?
 We observe that for each 30 number of hops, the distance increases by 45 feet.
 We must find the slope of the line:
 m = (y2-y1) / (x2-x1)
 m = (75-30) / (50-20)
 m = 1.5
 Then, the line is:
 y = 1.5x
 We substitute x = 150
 y = 1.5 * (150)
 y = 225
 Answer:
 
Find the ratio of hops to distance traveled (1: 1.5), then multiply 150 by 1.5.
3 0
3 years ago
Read 2 more answers
Which system of equations below will have infinite solutions?
ipn [44]

Answer:

All

Step-by-step explanation:

Because there are no equations for them so for all we know they all could have infinite solutions.

5 0
2 years ago
Solve the following equation for n 18n^2-50=0
Firdavs [7]

18n^2-50=0\ \ \ |+50\\\\18n^2=50\ \ \ |:18\\\\n^2=\dfrac{50}{18}\\\\n^2=\dfrac{50:2}{18:2}\\\\n^2=\dfrac{25}{9}\to n=\pm\sqrt{\dfrac{25}{9}}\\\\n=\pm\dfrac{\sqrt{25}}{\sqrt{9}}\\\\\boxed{n=-\dfrac{5}{3}\ \vee\ n=\dfrac{5}{3}}

Used:\\\sqrt{\dfrac{a}{b}}=\dfrac{\sqrt{a}}{\sqrt{b}}

3 0
3 years ago
A triangle has a perimeter of 77 inches. What are the side lengths of a, b, and c?
Yuki888 [10]

Answer:

I believe this is pathgorean theorem, which I did at the beginning of alegbra last year. It is basically finding the missing side of a triangle. (Trust me some of the easiest stuff you do all year) Below are my notes from last year. I hope it helps! Good Luck!!!

Step-by-step explanation:

Given two sides

If you know two other sides of the right triangle, it's the easiest option; all you need to do is apply the Pythagorean theorem:

a² + b² = c²

if leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root:

a = √(c² - b²)  

if leg b is unknown, then

b = √(c² - a²)  

for hypotenuse c missing, the formula is

c = √(a² + b²)

6 0
3 years ago
statistical models predict that price p( in dollars) of a new smartphone will change according to the function p=900-4t^2. where
Gre4nikov [31]

we are given

p=900-4t^2

where

price p( in dollars) of a new smartphone

t is the number of months since January

now, we can solve for t

step-1:

Add both sides by 4t^2

p+4t^2=900-4t^2+4t^2

p+4t^2=900

step-2:

Subtract both sides by p

p+4t^2-p=900-p

4t^2=900-p

step-3:

divide both sides by 4

\frac{4t^2}{4} =\frac{900-p}{4}

t^2=\frac{900-p}{4}

t^2=225-0.25p

step-4:

Take sqrt both sides

\sqrt{t^2} =\sqrt{225-0.25p}

t=\sqrt{225-0.25p}

so, we get

t=\sqrt{225-0.25p}..............Answer

7 0
3 years ago
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