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3 years ago

Which shows one way to determine the factors of x3 + 5x2 – 6x – 30 by grouping?

Mathematics

1 answer:

frutty [35]3 years ago

6 0

Answer:

Step-by-step explanation:

group them first :

( x3+5x2) and ( -6x-30)

then simply by gcf ( greatest common factor) :

x2(x+5) and -6(x+5)

and just add them together:

x2(x+5)-6(x+5)

bonus :

it can be written as (x2-6)(x+5)

You might be interested in

Aubrey can walk 4 1/2 miles in 1 1/2 hours. Find her average in miles per hour.

stepan [7]

Answer:

Step-by-step explanation:

Convert to improper fractions:

4 1/2 = 9/2

1 1/2 = 3/2

Find the reciprocal:

9/2 / 3/2 = 9/2 x 2/3

Multiply:

9/2 x 2/3 = 18/6

Simplify:

18/6 = 3

3 0

3 years ago

Ebba is buying bulk fabric. She is shopping for the best deal. Drag the fabric in order from the least to the greatest unit c

AURORKA [14]

To find the cost per yard, divide the cost by the amount:

p: 6.25 / 6.5 = 0.96 --> The cost per yard is $0.96
r: 3 /4 = 0.75 --> The cost per yard is $0.75
b: 8.1 /8.5 = 0.95 --> The cost per yard is $0.95
s: 7.2 / 6 = 1.2 --> The cost per yard is $1.20

In order from cheapest to most expensive:
Red
Brown
Purple
Silver

Hope this helps.

4 0

3 years ago

What was his temperature then?

Snowcat [4.5K]

100 is his temperature two hours later

5 0

2 years ago

Please helppp with this math question <333

Naya [18.7K]

Answer:

The average rate of change of the function $g(x)=x^2+10x+18$ over the interval $-11 \leq x\leq -1$ is -1

Step-by-step explanation:

We are given the function $g(x)=x^2+10x+18$ over the interval $-11 \leq x\leq -1$

We need to find average rate of change.

The formula used to find average rate of change is : $Average \ rate \ of \ change=\frac{g(b)-g(a)}{b-a}$

We have b=-1 and a=-11

Finding g(b) = g(-1)

$g(x)=x^2+10x+18\\Putting \ x=-1\\g(-1)=(-1)^2+10(-1)+18\\g(-1)=1-10+18\\g(-1)=9$

Finding g(a) = g(-11)

$g(x)=x^2+10x+18\\Putting \ x=-11\\g(-11)=(-11)^2+10(-11)+18\\g(-1)=121-110+18\\g(-1)=29$

Finding average rate of change

$Average \ rate \ of \ change=\frac{g(b)-g(a)}{b-a}\\Average \ rate \ of \ change=\frac{9-29}{-1-(-11)}\\Average \ rate \ of \ change=\frac{-10}{-1+11}\\Average \ rate \ of \ change=\frac{-10}{10}\\Average \ rate \ of \ change=-1$

So, the average rate of change of the function $g(x)=x^2+10x+18$ over the interval $-11 \leq x\leq -1$ is -1

5 0

2 years ago

In the dig ram below line l is parallel to line m. Which angles are congruent to angle 1

mixas84 [53]

Answer:

3, 8, 6

Step-by-step explanation:

<u>The angles that are congruent to angle 1 are: 3, 8, 6</u>

<u />

Answer: Congruent angles are 3, 8, 6

4 0

3 years ago