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2 years ago

Factor each expression. (9) 5a - 25 (10) 28 - 7x (11) 12z + 28 - 7z - 3

Mathematics

1 answer:

Nimfa-mama [501]2 years ago

6 0

Answer:

Step-by-step explanation:

Look for the GCF and then divide every term by the GCF to see what remains

(9) 5a - 25 ( GCF is 5 so take out 5 and divide every term by 5)

5(a-5)

(10) 28 - 7x ( GCF is 7 so take out 7 and divide every term by 7)

7(4-x)

(11) 12z + 28 - 7z - 3= (combine terms) =

5x+25( GCF is 5 so take out 5 and divide every term by 5)

5(x+5)

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What is the remainder when the polynomial 6x2+11x−3 is divided by 2x−1?

o-na [289]

Answer: 4

There are three different ways to find the remainder. Since I don't know which lesson you are working on, I will show you all three methods.

Long Division:

3x + 7

2x - 1 ) 6x² + 11x - 3

- (6x² - 3x) ↓

14x - 3

- (14x - 7)

Synthetic Division:

2x - 1 = 0 ⇒ x = $\frac{1}{2}$

$\frac{1}{2}$ | 6 11 -3

| ↓ 3 7

6 14 4

Remainder Theorem:

2x - 1 = 0 ⇒ x = $\frac{1}{2}$

f(x) = 6x² + 11x - 3

f( $\frac{1}{2}$ ) = 6( $\frac{1}{2}$ )² + 11( $\frac{1}{2}$ ) - 3

= 6( $\frac{1}{4}$ ) + $\frac{11}{2}$ - 3

= $\frac{3}{2}$ + $\frac{11}{2}$ - $\frac{6}{2}$

= $\frac{8}{2}$

= 4

3 0

3 years ago

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Complete the equation of the line through (-9,7) & (-6,-3)

scZoUnD [109]

Answer:

$y=-\frac{10}{3}x-23$

Step-by-step explanation:

we have the points

(-9,7) and (-6,-3)

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{-3-7}{-6+9}$

$m=-\frac{10}{3}$

step 2

Find the equation in point slope form

$y-y1=m(x-x1)$

we have

$m=-\frac{10}{3}$

$(x1,y1)=(-6,-3)$

substitute

$y+3=-\frac{10}{3}(x+6)$ ---> equation in point slope form

step 3

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$y+3=-\frac{10}{3}(x+6)$

Isolate the variable y

Distribute right side

$y+3=-\frac{10}{3}x-20$

subtract 3 both sides

$y=-\frac{10}{3}x-20-3$

$y=-\frac{10}{3}x-23$

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3 years ago

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oksian1 [2.3K]

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vovikov84 [41]

Answer:

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Step-by-step explanation:

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Digiron [165]

The answer is 10x^2+13x+5
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