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Fed [463]
3 years ago
14

Factor completely 2x^3-6x^2+5x-15

Mathematics
1 answer:
Olenka [21]3 years ago
4 0
2x^3-6x^2+5x-15 

2x^2(x-3)+5(x-3) 

(x-3)(2x^2+5)
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Use substitution to solve the system of equations.<br> x-2y=1<br> 3x-6y=3
Ivahew [28]
Change first equation
x - 2y = 1
add 2y to both side
x = 2y + 1
Plug into second equation
3(2y+1) - 6y = 3
Distributive property
6y + 3 - 6y = 3
y = 0, plug into first equation
x - 2(0) = 1, x = 1
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7 0
3 years ago
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6 0
2 years ago
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Solve x(x-1) (X-5) &lt;=O​
lara [203]

Answer:

x <= 0 or  1 = < x <= 5.

Step-by-step explanation:

First we find the critical points:

x(x - 1)(x - 5) = 0

gives x = 0, x = 1 and x = 5.

Construct a Table of values:

               <u>  x < 0 </u>  <u>x = 0 </u> 0<u>< x < 1</u>  <u>1 =< x <= 5</u>     <u>x = 5</u>

x                  <0        0          >0             <0           0

x - 1             <0       -1           >0              <0           0

x - 5            < 0       0          > 0             <0           0

x(x-1)(x-5)    < 0      0          >0              <0          0 

So the answers are x =< 0 or  1 =< x <= 5.

8 0
3 years ago
If f(x) = -8 - 5x, what is f(-4)
Mashcka [7]

Answer:

f(- 4) = 12

Step-by-step explanation:

To evaluate f(- 4) substitute x = - 4 into f(x) , that is

f(- 4) = - 8 - 5(- 4) = - 8 + 20 = 12

6 0
2 years ago
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Jim ran 12 1/2 miles in 2 1/2 hours. How many hours for 1 mile?
Klio2033 [76]

Answer:

1/5 hours i.e 0.2 hours (which is 12 mins)

Step-by-step explanation:

First note that 12 1/2 = 12.5, and 2 1/2 = 2.5.

To work out how many hours it takes hime to drive one mile, we divide the number of hours (2.5) by the number of miles (12.5),

i.e 2.5 ÷ 12.5

which equals 1/5 = 0.2 hours (= 12 mins).

4 0
3 years ago
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