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
kirza4 [7]
3 years ago
5

SOMEONE PLEASE HELP ME!!! if f(x)=x^2+2x-3 and g(x)=x^2-9, find (f/g)(4) and (f+g)(4)

Mathematics
2 answers:
Eduardwww [97]3 years ago
7 0

Replace x in each equation with 4:

f(x) = x^2 +2x-3 = 4^2 + 2(4) -3 = 16 + 8 -3 = 21

g(x) = x^2-9 = 4^2 -9 = 16-9 =7

Now you have values for f(x) and g(x) now you can solve for f/g and f+g:

f/g = 21 / 7 = 3

f+g = 21 + 7 = 28

zhuklara [117]3 years ago
4 0

For this case, we have that by definition:

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

We have the following functions:

f (x) = x ^ 2 + 2x-3\\g (x) = x ^ 2-9

So:

(f + g) (x) = x ^ 2 + 2x-3 (x ^ 2-9)\\(f + g) (x) = x ^ 2 + 2x-3 x ^ 2-9\\(f + g) (x) = 2x ^ 2 + 2x-12\\(f + g) (4) = 2 (4) ^ 2 + 2 (4) -12\\(f + g) (4) = 2 * 16 + 8-12\\(f + g) = 32 + 8-12\\(f + g) (4) = 28

On the other hand:

(\frac {f (x)} {g (x)}) = \frac {x ^ 2 + 2x-3} {x ^ 2-9}\\Evaluated\ at\ x = 4

(\frac {f (x)} {g (x)}) = \frac {4 ^ 2 + 2 (4) -3} {4 ^ 2-9} = \frac {16 + 8-3} {16 -9} = \frac {21} {7} = 3

Answer:

(f + g) (4) = 28\\(\frac {f} {g}(4)) = 3

You might be interested in
Noah has drawn two triangle △MNO and △M'N'O' on the coordinate plane as shown below. (the image I pasted)
Ber [7]

Answer:

  choice C is correct

Step-by-step explanation:

The clockwise sequence of vertices MNO is the opposite of the counterclockwise sequence of vertices M'N'O', so it seems some sort of reflection is involved.

Length NO is 3 times length N'O', but length NM is only 7/3 times length N'M', so the figures are <em>not similar</em>. (The ratios of side lengths must be the same for the figures to be similar.)

___

Choice D includes only rigid transformations that would ensure congruence. Similar figures may also differ by a dilation factor, so C is the better choice.

4 0
2 years ago
The mean student loan debt for college graduates in Illinois is $30000 with a standard deviation of $9000. Suppose a random samp
Nataly [62]

Answer:

the probability that the mean student loan debt for these people is between $31000 and $33000 is 0.1331

Step-by-step explanation:

Given that:

Mean = 30000

Standard deviation = 9000

sample size = 100

The probability that the mean student loan debt for these people is between $31000 and $33000 can be computed as:

P(31000 < X < 33000) = P( X \leq 33000) - P (X \leq 31000)

P(31000 < X < 33000) = P( \dfrac{X - 30000}{\dfrac{\sigma}{\sqrt{n}}} \leq \dfrac{33000 - 30000}{\dfrac{9000}{\sqrt{100}}}    )- P( \dfrac{X - 30000}{\dfrac{\sigma}{\sqrt{n}}} \leq \dfrac{31000 - 30000}{\dfrac{9000}{\sqrt{100}}}    )

P(31000 < X < 33000) = P( Z \leq \dfrac{33000 - 30000}{\dfrac{9000}{\sqrt{100}}}    )- P(Z \leq \dfrac{31000 - 30000}{\dfrac{9000}{\sqrt{100}}}    )

P(31000 < X < 33000) = P( Z \leq \dfrac{3000}{\dfrac{9000}{10}}}) -P(Z \leq \dfrac{1000}{\dfrac{9000}{10}}})

P(31000 < X < 33000) = P( Z \leq 3.33)-P(Z \leq 1.11})

From Z tables:

P(31000 < X

P(31000 < X

Therefore; the probability that the mean student loan debt for these people is between $31000 and $33000 is 0.1331

8 0
3 years ago
I need to find the are
otez555 [7]
The area should be 48 in squared
5 0
3 years ago
Find the measure of &lt; AED for m &lt; BEC = 96
Strike441 [17]
I wish you would of put a picture but with what you gave me. if the angle is a straight line then you would just set it up like 96+x=180 bc a straight line ='s 180 and den subtract 96 from 180 which is 84 so x would = 84 if the angle is a supp. angle but til there's not a picture this might be wrong.
But i hope this helps have a nice nite!
5 0
3 years ago
Read 2 more answers
Mrs. Austin teaches forty-eight students. One-third of her students are out sick with the flu. How many students are sick?
Aneli [31]
16 of the students are sick. How I got this was, divide 48 by 3 and you get 16 therefore 1/3 of 48 is 16.
8 0
2 years ago
Other questions:
  • Evaluate each expression for a= 5, b= 12, and c= 2.
    7·2 answers
  • How to express 24.357 in unit form
    12·1 answer
  • I really need help!<br> If you can help me that would be awesome
    8·1 answer
  • What is the cube root of (5x^3)(4x)^3?
    10·1 answer
  • A rectangular park has an area of 2/3 square mile.The length of the park is 2 2/3 the width of the park.What is the width of the
    6·1 answer
  • The function g is given in three equivalent forms.<br> Which form most quickly reveals the vertex?
    7·1 answer
  • 4. To make te cups of hot chocolate, 4 tablespoons of cocoa mix
    12·1 answer
  • 10 mm<br> 6 mm<br> b<br> What is the length of the missing leg?
    5·1 answer
  • Find x and then any unknown angles in the quadrilateral
    13·1 answer
  • Which equation justifies why seven to the one third power equals the cube root of seven?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!