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3 years ago

What is a common factor for x^2-9 and x^2-5x+6

Mathematics

2 answers:

trapecia [35]3 years ago

5 0

Answer:

y=60x-15x^2

Step-by-step explanation:

this one opens downwards

lawyer [7]3 years ago

5 0

Answer:

x^2 -9 = (x +3) (x-3)

x^2 -5x + 6 = (x -3) (x -2)

The common factor is (x-3)

Step-by-step explanation:

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A student spent 15 minutes getting a 2-foot by 3-foot bulletin board. To the nearest tenth of a minute, how long did it take the

Cerrena [4.2K]

Answer:

The student took 2.5 minutes to paint 1 square foot.

Step-by-step explanation:

In order to know how long the student took to paint each square foot we first need to know the total area of the bulletin board. Since it is a rectangle we can compute it's area by multiplying the width and the height. That is:

area = 2*3 = 6 square foot

Since the student took 15 minutes to paint the whole board the pace at which he was working can be calculated by dividing the total area of the board by the time he took to paint all of it. So we have:

pace = 6/15 = 0.4 foot/min

To find how long it took him to paint 1 square foot we can divide it by the pace he was painting. We have:

time = 1/0.4 = 2.5 minutes

The student took 2.5 minutes to paint 1 square foot.

3 0

3 years ago

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

Read 2 more answers

Which model represents the product 3/4 x 1/3

dlinn [17]

Answer:

The first one

Step-by-step explanation:

5 0

3 years ago

I need help so yea please help

vodka [1.7K]

Answer:

option 3

Step-by-step explanation:

divide the diameter by 2 to get the radius.

pi×r^2

3.14×42^2=5538.96 km^2

3 0

2 years ago

Find an equation for the line with the given properties. Express your answer using the general form or the slope-intercept form

Damm [24]

Answer:

$y=-3x+4$

Step-by-step explanation:

To get the equation in the slope-intercept form first, put the equation in slope-point form using the information given. The slope-point form is $y-(-2)=-3(x-2)$ . Then solve for y.

Distribute -3 to $(x-2)$ ,

$y-(-2)=-3x+6$

Then, add -2 to both sides,

$y=-3x+4$

This is your final answer; the slope is -3 and the y-intercept is 4. There are also a few other ways to solve but I find this the easiest.

3 0

3 years ago