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Elden [556K]
3 years ago
14

Find the solution set. x^2 – 5x = 0

Mathematics
1 answer:
Tom [10]3 years ago
8 0

Answer:

x=0  and x=5

Step-by-step explanation:

x^2 – 5x = 0

Factor out an x

x(x-5) = 0

Using the zero product property

x=0 and x-5 =0

Solving

x=0 x-5+5 = 0+5

x=0  and x=5

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Is X +3 a factor of 2X squared minus 2X -12
Fantom [35]

Answer: No, x+3 is not a factor of 2x^2-2x-12

========================================================

Explanation:

Let p(x) = 2x^2 - 2x - 12

If we divide p(x) over (x-k), then the remainder is p(k). I'm using the remainder theorem. A special case of the remainder theorem is that if p(k) = 0, then x-k is a factor of p(x).

Compare x+3 = x-(-3) to x-k to find that k = -3.

Plug x = -3 into the function

p(x) = 2x^2 - 2x - 12

p(-3) = 2(-3)^2 - 2(-3) - 12

p(-3) = 12

We don't get 0 as a result so x+3 is not a factor of p(x) = 2x^2 - 2x - 12

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

Let's see what happens when we factor p(x)

2x^2 - 2x - 12

2(x^2 - x - 6)

2(x - 3)(x + 2)

The factors here are 2, x-3 and x+2

3 0
2 years ago
How many terms are in the algebraic expression<br><br>Also, What do they mean by "Terms"
kari74 [83]

Answer:

There are 4 terms

Step-by-step explanation:

A term is a single mathematical expression. Terms can be identified with a plus or minus sign in front of them. Terms can also be multiplied and divided.

So, in this case, the terms are:

-7

12x^4

-5y^8

x

4 0
3 years ago
Brooke has scores of 84, 72, 90, 95, and 87 on her first five quizzes. After taking the sixth quiz, Brooke’s mean score increase
nexus9112 [7]
86, 90, and 92

Explanation:add all numbers together and divide it by the amount of numbers there are (5) and it comes out with 85.6 so it has to be higher since it increased
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ikadub [295]

Answer:61

Step-by-step explanation:

Its common logic

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lesantik [10]
10 is greater because it equals 3.162...
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