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mixas84 [53]
3 years ago
13

Simplify write in factored form

Mathematics
1 answer:
Viktor [21]3 years ago
8 0
Use the ma th way app. It will help
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What is the factorization of 3x2 – 8x + 5?
ELEN [110]

we have

3x^{2} -8x+5

Equate the expression to zero to find the roots

3x^{2} -8x+5=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

3x^{2} -8x=-5

Factor the leading coefficient

3(x^{2} -(8x/3))=-5

Complete the square. Remember to balance the equation by adding the same constants to each side.

3(x^{2} -(8x/3)+(16/9))=-5+(16/3)

3(x^{2} -(8x/3)+(16/9))=(1/3)

Rewrite as perfect squares

3(x-(4x/3))^{2}=(1/3)

(x-(4x/3))^{2}=(1/9)

square roots both sides

(x-\frac{4}{3})=(+/-) \sqrt{\frac{1}{9}}

x=\frac{4}{3}(+/-) \frac{1}{3}

the roots are

x=\frac{4}{3}+ \frac{1}{3}=\frac{5}{3}

x=\frac{4}{3}- \frac{1}{3}=\frac{3}{3}=1

so

3x^{2} -8x+5=3(x-\frac{5}{3})(x-1)=(3x-5)(x-1)

therefore

<u>the answer is the option</u>

(3x-5)(x-1)

6 0
2 years ago
Read 2 more answers
What is the final amount if 1584 is decreased by 18% followed by a 19% increase?
Oksi-84 [34.3K]

Answer:

1,545.67

Step-by-step explanation:

step 1

if 1,584 is decreased by 18%

we know that

100\%-18\%=82\%=82/100=0.82

Multiply the number by 0.82

1,584(0.82)=1,298.88

step 2

The number 1,298.88 is increased by a 19%

we know that

100\%+19\%=119\%=119/100=1.19

Multiply the number by 1.19

1,298.88(1.19)=1,545.67

3 0
2 years ago
When a point lies on the x-axis, what do you know about its y-coordinate? When a point lies on the y-axis, what do you know abou
malfutka [58]
When a point lies on the x-axis, y = 0, the coordinates are ( x , 0 ).
When a point lies on the y-axis, x = 0, the coordinates are ( 0, y ). 
4 0
2 years ago
Read 2 more answers
What is the value of x? Please explain the step process to getting to the conclusion.
olga55 [171]

First, split the triangle into half.

So the angle 38 becomes 38/2=19.

So we know two angles in the triangle:

One is 19 degrees.

The other one is 90 degrees (marked red).

The angles in a right-angled triangle add up to 180 degrees.

So to find the x angle, we calculate it by:

180 - (90+19) = 71

(the sum of three angles) - (the sum of the two known angles) = unknown angle

So x = 71 degrees.

4 0
3 years ago
Read 2 more answers
PLEASE PLEASE HELP THANKS SO MUCH
ruslelena [56]

Answer:

a= 12

b= 9

I hope this helps

5 0
2 years ago
Read 2 more answers
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