All categories

3 years ago

Factor the expression completely by first taking out a common factor 3x^2 + 27x + 24

Mathematics

1 answer:

Marina CMI [18]3 years ago

3 0

Answer:

=3(x+8)(x+1)

Step-by-step explanation:

3(x^2+9x+8)

3(x^2+8x+1x+8)

3[(x^2+8x)+(1x+8)]

3[x(x+8)+1(x+8)]

=3(x+8)(x+1)

You might be interested in

Create the f(x) function based on the table. Your answer should be in function notation. X f(x) - 10 -6 -9 -5 1-8 -4 -7 1-3 5 9

Minchanka [31]

Answer:

$f(x) = x + 4$

Step-by-step explanation:

First create an equation in slope-intercept form, y = mx + b. To do this, find the rate of change or slope (m), and the y-intercept (b).

Using two pairs, (-7, -3) and (-8, -4),

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-4 -(-3)}{-8 -(-7)} = \frac{-1}{-1} = 1$

m = 1

To find b, substitute m = 1, x = -7 and y = -3 into y = mx + b.

Thus:

-3 = (1)(-7) + b

-3 = -7 + b

-3 + 7 = b

4 = b

b = 4.

Replace y with f(x), m with 1 and b with 4 in y = mx + b.

The function would be:

$f(x) = x + 4$

6 0

3 years ago

Y=3x\4 make x the subject of the formula

grin007 [14]

Answer:

x = 4y/3

Step-by-step explanation:

y = 3x/4

Multiply both sides by 4.

4y = 3x

Divide both sides by 3.

x = 4y/3

6 0

3 years ago

Read 2 more answers

Solve 1/2x-4=7+1/6x

Westkost [7]

Answer:

x=11/2

Step-by-step explanation:

1/2x-4=7+1/6x

1/2x-1/6x=7+4

6*1/2x-1/6*6=11 As 6 is the Lcm and we have to multiply it to the fractions.

3x-x=11 As 6 divided by 2 is 3 and 3 multiplied by x is 3x.

2x=11

x=11/2 OR 5 1/2

7 0

4 years ago

Read 2 more answers

Find the value of x, with work shown if possible

Furkat [3]

Answer:

Step-by-step explanation:

x / x + 7 = 21/27
cross multiply
27x=21x+147
6x = 147

x=24.5

I hope this helps

4 0

2 years ago

Pam wants to lose some weight. She currently Weighs 225 lbs. if she loses 1.5 lbs per week, how many weeks will it take her to r

Bumek [7]

Answer:

50 weeks

Step-by-step explanation:

Look at the picture for explanation.

8 0

3 years ago