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
uranmaximum [27]
3 years ago
14

I need help with this question

Mathematics
2 answers:
zvonat [6]3 years ago
8 0

Answer:

Option B is correct

Step-by-step explanation:

Given:

f(x) = -20x^2 +14x +12 and

g(x) = 5x - 6

We need to find f/g and state its domain.

f/g = -20x^2 +14x +12/5x - 6

Taking -2 common from numerator:

f/g = -2(10x^2 - 7x - 6) / 5x -6

Factorize 10x^2 - 7x - 6= 10x^2 - 12x +5x -6

Putting in the above equation

f/g = -2(10x^2 - 12x +5x -6)/ 5x -6

f/g = -2(2x(5x-6) + 1 (5x-6)) / 5x-6

f/g = -2 ( (2x+1)(5x-6))/5x-6

cancelling 5x-6 from numerator and denominator

f/g = -2(2x+1)

f/g = -4x -2

The domain of the function is set of all values for which the function is defined and real.

So, our function g(x) = 5x -6 and domain will be all real numbers except x = 6/5 as denominator will be zero if x=5/6 and the function will be undefined.

So, Option B is correct.

Tasya [4]3 years ago
4 0

ANSWER

-4x-2; all real numbers except x=6/5

Option B is correct.

EXPLANATION

The given functions are:

f(x) =  - 20 {x}^{2}  + 14x + 12

We factor to get,

f(x) =  - 2(10 {x}^{2}   -  7x  - 6)

Split the middle term:

f(x) =  - 2(10 {x}^{2}  +   5x  - 12x - 6)

f(x) =  - 2(5x(2{x} + 1)- 6(2x  + 1))

f(x) =  - 2(2{x} + 1)(5x   - 6)

and

g(x) = 5x - 6

( \frac{f}{g} ) = \frac{f(x)}{g(x)}

( \frac{f}{g} ) = \frac{ - 20x + 14x + 12}{5x - 6}

where 5x-6≠0

x≠6/5

( \frac{f}{g} ) = \frac{- 2(2{x} + 1)(5x   - 6)}{5x - 6}

Cancel the common factors to get,

( \frac{f}{g} ) = - 2(2{x} + 1)

( \frac{f}{g} ) = - 4{x}  - 2

You might be interested in
A musical instrument has a pitch of 220 hertz when the wavelength is 3 feet. When the wavelength is 4 feet, the pitch is 165 her
earnstyle [38]
We know that
Inverse Variation is a<span> relationship between two variables in which the product is a constant
so
let
x------> a pitch of a musical instrument
y------> </span><span>the wavelength
x*y=k

find the value of k

for x=</span><span>220 hertz   y=3 ft
</span><span>x*y=k
220*3=k
k=660

</span>for x=165 hertz   y=4 ft
x*y=k
165*4=660
k=660<span>

the answer part a) is
</span><span>the type of variation between pitch and wavelength is an inverse variation
</span>
part b) <span>What is the pitch when the wavelength is 5 feet?
x=?
y=5 ft
k=660
x*y=k------> solve for x
x=k/y----------> x=660/5-----> x=132 hertz

the answer Part b) is
132 hertz</span>
4 0
3 years ago
Answer Part A and Part B for the triangle shown
Tom [10]

Answer:

for Part A

Answer is C.

Step-by-step explanation:

\tan(a)  =  \frac{opposite}{adjacent }  \\

Here the angle, a is 60°, Opposite is 20 and adjacent is x.

Therefore we have,

\tan(60 )  =  \frac{20}{x}

Making x the subject gives us

x =  \frac{20}{ \tan(60) }

Part B

Value of x to the nearest tenth

x = 11.547 \\ to \: the \: nearest \: tenth \\ x = 12

5 0
2 years ago
Find the slope of the line through the points (-19, 8) &amp; (-17, 16)
Scilla [17]

m= y2-y1/x2-x1

m= 16-8/-17+19

m=8/2

m=4unit

7 0
3 years ago
1. Priya is trying to decide which babysitting job she should take. She can make 6 dollars an hour
RUDIKE [14]

Answer:

a. Job A    1. 6 2.12 3.18 4.24 5.30 6.36   Job B     1. 10 2. 14 3.18 4.22 5.26 6.30

b. she will make the same amount of money at 3 hours.

c. Priya should take the first job ( Job A), because even with the 6 dollar bonus for the first hour, the second job (Job B) would be paying less money after 3 hours.

Step-by-step explanation:

8 0
3 years ago
Simplify this expression fully: -2(a+3) - (7-a)​
Marrrta [24]

Answer:

-a-13

Step-by-step explanation:

-2 * (a+3)

-2a - 6 -7 + a

-2a+a = -a

-6-7= -13

-a - 13

6 0
3 years ago
Read 2 more answers
Other questions:
  • I NEED HELP NOW What is the equation in slope-intercept form of the linear function represented by the table? x y –6 –18 –1 –8 4
    11·2 answers
  • kylie bought a bunch of grapes that weighs 2 pounds and 9 ounces. How much did the grapes weigh in ounces only?
    15·1 answer
  • In 2007 the population was 118,000 and in 2013 the population was 138,000
    13·1 answer
  • A number cube was rolled as part of an experiment. The results are shown in the table. Explain how to find the experimental prob
    11·2 answers
  • Directio: Draw and label a figure for the condition.
    11·1 answer
  • I need help with this!! What is the answer???!
    6·1 answer
  • When writing an equation in slope-intercept form, you need the values of the
    5·1 answer
  • What function is shown by the graph
    10·1 answer
  • Express each decimal as a fraction in simplest form. help-
    7·1 answer
  • Subtract 5a-6b+7c from 13a-4b+8c
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!