All categories

3 years ago

1.) 45r^3-15r^2 Factoring 2.) 9x^2-3x 3.) X^2+3x

Mathematics

1 answer:

Snowcat [4.5K]3 years ago

4 0

NOTES: Find the common factor of the terms and factor it out:

1. Answer: 15r²(3r - 1)

Step-by-step explanation:

45r³ - 15r² they both have 15 and r² as factors

$15r^2\bigg(\dfrac{45r^3}{15r^2}-\dfrac{15r^2}{15r^2}\bigg)$

= 15r²(3r - 1)

************************************************************************************

2. Answer: 3x(3x - 1)

Step-by-step explanation:

9x² - 3x they both have 13 and x as factors

$3x\bigg(\dfrac{9x^2}{3x}-\dfrac{3x}{3x}\bigg)$

= 3x (3x - 1)

************************************************************************************

3. Answer: x(x + 3)

Step-by-step explanation:

x² + 3x they both have x as a factor

$x\bigg(\dfrac{x^2}{x}+\dfrac{3x}{x}\bigg)$

= x(x + 3)

You might be interested in

7. Fin the missing numbers for this rate table. SHOW YOUR WORK

lana [24]

Answer:

Brownies

270

Cooldies

384

Step-by-step explanation:

Brownies

simply multiply the 18 by 3 we get 54 and if we multiply 54 by 5 we get 270.

we multiply it by 5 because in series it skip 1 number to multiply next.

Cooldies

first we multiply 16 by 2 we get 32.

next we multiply 32 by 3 we get 96.

and next we multiply 96 by 4 we get 384.

Simply increment in multiplication.

8 0

3 years ago

A picture on a page was reduced by 60% of its original size, and this copy was then reduced by 20%. What percent of the size of

melamori03 [73]

Answer:

the final copy should be 12% of the original picture.

Step-by-step explanation:

you multiply 20% by 60%

and you get 0.12 which is the same as 12%

6 0

2 years ago

Need helpwith this math

solniwko [45]

Answer: -0.6, -1/4 (-0.25), -0.15

Step-by-step explanation: the farther away from 0, going left, the smaller the number.

7 0

2 years ago

The rectangle shown has a perimeter of 156 cm and the given area. Its length is 6 more than five times its width.

Stells [14]

P=156 cm
l=6+5w
P=2(l+w)
156=2(6+5w+w)
156=2(6+6w)
156=12+12w
12+12w=156
12w=156-12
12w=144
w=12cm

l=6+5•12
l=6+60
l=66cm

8 0

2 years ago

The functions r and s are defined as follows.

irina1246 [14]

Answer:

r(s(-2)) = -2

Step-by-step explanation:

We are given these following functions:

$r(x) = -2x + 2$

$s(x) = x^2 - 2$

Find the value of r(s (-2)).

First we find the composition of r and s functions. It is:

$r(s(x)) = r(x^2-2) = -2(x^2-2) + 2 = -2x^2 + 6$

At x = -2

$r(s(-2)) = -2(-2)^2 + 6 = -8 + 6 = -2$

r(s(-2)) = -2

8 0

2 years ago

1.) 45r^3-15r^2 *Factoring* 2.) 9x^2-3x 3.) X^2+3x

1.) 45r^3-15r^2 Factoring 2.) 9x^2-3x 3.) X^2+3x