Answers
Work Shown:
[tex](f+g)(x) = f(x)+g(x)\\\\(f+g)(x) = \frac{x-23}{x^2+9x-36}+\frac{1}{x+12}\\\\(f+g)(x) = \frac{x-23}{(x+12)(x-3)}+\frac{1(x-3)}{(x+12)(x-3)}\\\\(f+g)(x) = \frac{x-23+1(x-3)}{(x+12)(x-3)}\\\\(f+g)(x) = \frac{x-23+x-3}{x^2+9x-36}\\\\(f+g)(x) = \frac{2x-26}{x^2+9x-36}\\\\[/tex]
We must require that [tex]x \ne -12[/tex] and [tex]x \ne 3[/tex] to avoid having 0 in the denominator. This is why choice D is the answer.
Related Questions
PLEASE HELP ME AND STOP USING ME FOR POINTS THIS IS FOR MY GRADE .
Answers
Answer:
11
Step-by-step explanation:
11 since all sides are the same exact length
Answer: C
Step-by-step explanation:
8 is the smallest number so most likely it´s right. I would choose C.
What is the standard form of the equation y = −x − 2?
Answers
3x=9+3y please solve with the steps so I can learn
Answers
Answer:
If you want to solve for x, then it is x=3+y
If you want to solve for y, then it is y=x-3
Step-by-step explanation:
You want to isolate the variable you are solving for. If you are solving for x, you don't have to isolate it because it is already on its own side. You only have to divide by 3 to take away the 3 from the x but make sure do whatever you do on one side to the other side to make sure its still equal. After you divide 3 on both sides, you end with x=3+y.
X+3x-3+2x²+8-5x
Options 1,2,3 or 4?
Answers
Hope this helps
Have a great day/night
PLEASE HELP
When solving an algebraic expression, our goal is to get the variable _______________ on one side of the equal sign.
Answers
Answer:
Isolated
Step-by-step explanation:
When solving one-variable algebraic expressions isolating the variable on one side gives you its value on the other side.
PTION #3(20pts): The last option is by Plane Cargo. You cannot seem to find rates on their website, but a service representative was able to tell you that a 100-mile flight will cost $600, and a 250-mile flight will cost $825.
Answers
Answer:
Rate for 100 miles = $ 6 / miles
Rate for 250 miles = $ 3.3 / miles
Step-by-step explanation:
Given that cost for covering 100 miles by flight is $600.
As rate is the cost of covering unit distance (in miles).
So, the rate to cover 100 miles by flight = $ 600/ 100 miles = $ 6 /miles.
Similarly, the cost of covering 250 miles by flight is $825.
So, the rate to cover 250 miles by flight = $ 825/ 250 miles = $ 3.3 /miles.
How would you write 5,697,000 in scientific notation?
Answers
Answer:
5.697 × 10^6
Step-by-step explanation:
None.
Answer:
Convert a number to and from scientific notation, e notation, engineering notation and real numbers. Enter a number or a decimal number or scientific notation and the calculator converts to scientific notation, e notation and engineering notation formats.
To enter a number in scientific notation use a carat ^ to indicate the powers of 10. You can also enter numbers in e notation. Examples: 3.45 x 10^5 or 3.45e5.
Step-by-step explanation:
MATCHING GRAPHS! which ones which!! pls help ill award branliest
Answers
Answer:
Its A and B i beleive.
Step-by-step explanation:
Top right is c
Bottom right is a
Kris drove 92 miles from La Verne to Encinitas and used only 4 gallons of gas. What is the unit rate (miles per gallon)
Answers
wait
am writing answer Step-by-step explanation:
Answer:
23 miles per gallon
Step-by-step explanation:
92/4=23
6785∆4 is a 6-digit number with one of its digit represented by ∆. What can be the value of ∆ if 6785∆4 is divisible by 9
Answers
Answer:
The value of the missing digit is 6.
Step-by-step explanation:
When a number is divisible by 9, the sum of the digits must be 9 or a multiple of 9.
Given digits = 6785∆4
the sum of the digits = 30 + ∆
30 + ∆ = 36
∆ = 36 - 30
∆ = 6
Thus, the value of the missing digit is 6.
The trailer ramp is shaped like a triangle prism . The height of the ramp is 14 inches and the volume of the ramp is 4704 inches 3. What is the area of the base of the trailer ramp in the square centimeters?
Answers
Answer:
A = 2167.73 cm²
Step-by-step explanation:
Given that,
A trailer ramp is in the shape of a triangular prism.
the height of the ramp, h = 14 inches
The volume of the ramp, V = 4704 inches²
We need to find the area of the base of the trailer ramp.
The volume of the triangular prism is given by :
[tex]V=A\times h[/tex]
A is area of base and h is height
[tex]A=\dfrac{V}{h}\\\\A=\dfrac{4704}{14}\\\\A=336\ \text{inches}^2[/tex]
or
A = 2167.73 cm²
So, the area of the base of the ramp is 2167.73 cm².
help will mark brainlist!
Answers
Answer:
a is 108
b is 65
this because both angels on the same side add up to 180 because of the parallel lines meaning those arrows
Tom runs a car dealership that currently
has 21 pickup trucks and 35 SUVs. He
wants to divide the lot into areas that
have either pickup trucks or SUVs, and
he wants the same number of vehicles
in each area. What is the largest number
of vehicles Tom can put in one area?
Answers
The answer is 7, because the factors of 21 are 1,3,7,21 and for 35 is 1,5,7,35 and the greatest of those is 7.
The highest no. of vehicles Tom can put in one area is 7 SUVs and 7 pickup trucks.
What are GCF and distributive property?The GCF of two or more than two numbers is the highest number that divides the given two numbers completely.
We also know that distributive property states a(b + c) = ab + ac.
Given, Tom runs a car dealership that currently has 21 pickup trucks and 35 SUVs.
∴ If he wants to divide the lot into areas that have either pickup trucks or SUVs, and he wants the same number of vehicles in each area the largest number of vehicles Tom can put in one area is is GCF of 7 and 35 which 7.
learn more about GCF here :
https://brainly.com/question/11444998
#SPJ5
A painter painted about a sixth of a room in a sixth of a day. Coley estimated the painter would paint 5 rooms in 5 days. Is Coley's estimate reasonable? Complete the explanation.
Answers
The answer is "Yes", the estimate done by Coley is reasonable, it will take 5 days to paint 5 rooms.
What are arithmetic operations?The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.
They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.
As per the given information in the question,
A painter painted about a sixth of a room in a sixth of a day. It means that 1/6 room is painted in 1/6 of the day so, a whole room is painted in 1 day itself.
So, the time to paint 5 rooms will take 5 days.
To know more about arithmetic operations:
https://brainly.com/question/13585407
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The area of a rectangular pool is 7452 m².
If the width of the pool is 81 m, what is its length?
Answers
Answer:
92
Step-by-step explanation:
Answer:
i think 92 m
Step-by-step explanation:
Gabrielle is 14 years older than mikhail. The sum of thier age is 84. What is mikhails age
Answers
Answer:
I really am just answering this for meh points, so I can ask a quesiton. Could you use this as helpfull xD. Taking a straight up guess. I think mikhail is 98
Step-by-step explanation:
Answer:
Mikhail is 35 years
Step-by-step explanation:
let mikhails age be k.
mikhail=k
Gabrielle=k + 14
k + k + 14=84
2k+14-14=84-14
2k=70
2k/2=70/2
k=35years
how do i solve 7 - n = 27
Answers
Answer:
n=-20
Step-by-step explanation:
Doug has two German Shepherds. The
larger dog weighs 70 pounds. If the
smaller dog weighs 75% as much as the
larger dog, find the smaller dog's weight.
lol help.
Answers
The sum of the measures of the angles shown is 81°. Which is the measure of angle y?
Answers
Answer:
55
Step-by-step explanation:
You can do:
81 - 26 = 55
The sum of the angles (81) minus the angle that is represented (21)
Answer:
55
Step-by-step explanation:
Since the sum of the two angles is 81, i did
81- 26=55
Use your equations from Lesson 1 for the Brick candle and the Egyptian candle to create a graph of two polynomial functions so that you can compare volumes for different values of x. Compare the volumes.
My equations from lesson 1 were x^3-x^2 for the brick, and 7x^2 for the Egyptian.
Answers
9514 1404 393
Answer:
the cubic does not exceed the quadratic until x > 8
Step-by-step explanation:
The attached graph plots the two expressions. The two are equal at x=8. Below that value the expression 7x^2 is greater. Above that value, the expression 7x^3 -x^2 is greater.
_____
Comment on the question
The directive to "compare the volumes" does not tell anything about the sort of comparison you are expecting. We note that the expression x^3-x^2 is zero or less up to the point where x=1, so we wonder exactly what it is supposed to be modeling. Any real volume will not be negative.
For small values of x, the quadratic is quite a bit larger. However, we know the cubic will grow larger than any quadratic for large values of x. So, the comparison you get will depend on the domain of interest—which is not specified.
2*10⁴-7³ please help me
Answers
Answer:
19657
Step-by-step explanation:
By PEMDAS, we know we have to do 2* 10⁴ and then subtract the 7³. This gives us 19657.
Answer:
195657 is the answer according to my calculation.
Write the next three terms of the geometric sequence.
Answers
I think you posted this question more than once..
how many legs does 32 cows have and how many does 32 ducks have
Answers
Answer:
32 cows have 128 legs altogether.
32 ducks have 64 legs altogether.
Answer:
128 and 64
Step-by-step explanation:
a cow has 4 legs
32 times 4 is 128 legs
ducks have 2 legs
2 times 32 is 64 legs
please vote me as brainliest!!!<3
Please helpppp !!!!!!!!!!!!!!! Will be marking Brianliest !!
Answers
Answer:
NS = 24
Step-by-step explanation:
Use the ratio 2:3 and set up a proportion.
2/3 = x/36
Cross multiply
3 * x = 3x
2 * 36 = 72
3x = 72
Divide both sides by 3
3x/3 = 72/3
x = 24
So NS is 24
Simplify 4x + 8 + 2x − 7.
Answers
Answer:
6x+1
Step-by-step explanation:
1. Add the x
4x+2x=6x
2. Add the numbers
8-7=1
3. Add everything
6x+1
Hope this helps!
Answer:
negative 2x-15
Step-by-step explanation:
hope this helps
The question is in the photo
Answers
Answer:
no solutions
Step-by-step explanation:
3(x+5)-3 = 2(3x + 1) - 3x
open the parenthesis
3x + 15 - 3 = 6x + 3 - 3x
add 3x to both sides of the equation
3x + 3x + 15 - 3 = 6x + 3 - 3x + 3x
combine like terms
6x + 15 - 3 = 6x + 3
add 3 to both sides of the equation
6x + 15 - 3 + 3 = 6x + 3 + 3
6x + 15 = 6x + 6
subtract 6 from both sides of the equation
6x + 15 - 6 = 6x + 6 - 6
6x + 15 - 6 = 6x
6x + 9 = 6x
subtract 6x from both sides of the equation
9 = 0
since 9 does not equal 0, the answer is no solutions
Heelp. I will give brainliest to whoever answers correctly.-
Answers
Answer:
Deliah: 1701/9=189
Dakoda: 1479/9=164.33
Coach should choose Deliah.
Step-by-step explanation:
mean= all the numbers added up/ how many numbers there are
Which represents a function?
A {(-2, 1). (0, 2), (1,3), (1.4)}
B {(-1,5),(-1,6). (1,5), (1.6)}
C
{(3, 1). (3. 4). (3.5), (3,9)}
D{(4.8). (5. 1). (7.3).(8.6)}
Need Help ASAP
Answers
Answer:
C
Step-by-step explanation:
Please mark me brainlist
Given the functions… Find g(-6
Answers
Answer:
39
Hope this helps
Rodolfo earns $30.00 in 5 days. Max earns $10.00 more than Rodolfo in 5 days. How much is the Max salary in 8 days?
Answers
Rodolfo earns $30 in 5, 30 divided by 5 equals 6. Max made $10 more so 40 divided by 5 equals 8. Since we are trying to find how much Max made in 8 days we multiply 8 by 8 and get 64.