1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lozanna [386]
3 years ago
10

Given the functions, fx) = x - 8 and g(x) = x2 + x - 1, perform the indicated operation. When applicable, state the domain

Mathematics
1 answer:
adell [148]3 years ago
4 0

Answer:

A

Step-by-step explanation:

(fg)(x) = f(x) × g(x)

= (x - 8)(x² + x - 1)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x² + x - 1) - 8(x² + x - 1) ← distribute both parenthesis

= x³ + x² - x - 8x² - 8x + 8 ← collect like terms

= x³ - 7x² - 9x + 8 → A

There are no restrictions on the domain.

You might be interested in
Determine the most probable next term in the sequence 486,162,54,18,6
umka2103 [35]
It is a Geometric Progression with common ratio :
= 162/486 = 1/3

So, Next term would be: 6 * 1/3 = 2

In short, Your Answer would be 2

Hope this helps!
7 0
3 years ago
Read 2 more answers
The ratio of width to length of a rectangle is 7:10.The width of the rectangle is 91 cm.
kvasek [131]

Answer:

Length= 130 cm

For, Width= 91 cm

Step-by-step explanation:

Ratio of the width to the length of the rectangle = 7:10

Width of the rectangle= 91 cm

\frac{Width}{Length} =\frac{7}{10}

As, Width = 91 cm

\frac{91}{Length} =\frac{7}{10}

On, Cross multiplication the fraction:

91*10=7*Length

7*Length=910

Dividing by '7' both the sides:

Length=\frac{910}{7}\\\\ Length=130cm

6 0
3 years ago
In a jewelry store, rings makeup 5/9 of the inventory. Earrings make up 4/15 of the inventory. How many times greater is the rin
Free_Kalibri [48]
First let's make the denominators equal, so that we can compare the two fractions more easily.
To do this, we have to find a number that both 15 and 9 divide into. The smallest number that this can happen to is 45.

15 x 3 = 45
9 x 5 = 45

So we have to multiply 15 by 3 in order to make it into 45. If we're changing the denominator, the numerator must change too, by the same multiplier.

4 ---> 4 x 3 = 12
--
15 ---> 15 x 3 = 45

4/15 = 12/45


5 ---> 5 x 5 = 25
--
9 ---> 9 x 5 = 45

5/9 = 25/45

To find how many times more rings there are, we divide 25 by 12. As the result of this isn't an integer, we leave the answer as a fraction:

There rings inventory is 25/12 times bigger than the earrings inventory.
4 0
3 years ago
What is the value of x, y and z?
sergeinik [125]

Answer:

The value is 25 x 6y

Step-by-step explanation:

8 0
3 years ago
Help!
Olin [163]

Answer:

2/16

1/8

Step-by-step explanation:

8/1=8

2/16=0.125 which is equal to 1/8

2/14=1/7

1/8=1/8 is 2/16 simplified so they are the same

14/2=7

6 0
3 years ago
Other questions:
  • (0,8), m = -4 solve for m what is the slope
    13·1 answer
  • What is the answer to the problem (74x-47y)-(68x+21y)
    13·1 answer
  • Please help! Explanation please!​
    6·1 answer
  • Please help its a quiz im bad at math ​
    10·1 answer
  • Can someone PLEASE answer this question for the third time
    14·1 answer
  • ABCD is a trapezoid. Find y
    7·2 answers
  • Solve for x<br> 4x+8&lt;2x+2
    8·1 answer
  • Simplify the following expression. 30 simplified form:
    11·2 answers
  • Which pair of events are independent of each other?
    5·1 answer
  • What is the slope of the line whose equation is 2x-4y=10? Show answers
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!