For all values of x, f(x) = x^2 + 1 and g(x) = x-5
(a) Show that fg(x) = x^2 - 10x + 26
(b) Solve fg(x) = gf(x)
Answer:
a) f g(x) = x³ - 5 x² + x -5
b) g(f(x) = x³ - 5 x² + x -5
Step-by-step explanation:
Step(i):-
Given that f(x) = x² + 1 and g(x) = x-5
a)
f(g(x)) = f(x-5) = (x-5)²+1 = x² - 10x +25 +1 = x² - 10 x +26
Step(ii):-
a) f g(x) = f(x) g(x) = (x² + 1 )(x-5) = x³ - 5 x² + x -5
b) g(f(x) = g(x) f(x) = (x-5) (x²+1) = x³ - 5 x² + x -5
CAN YOU PLSSSSSSSSSSSSSSSSSSS HELP ME WITH THIS
i really need help.......
Answer:
it will option B hope it helps
Help
Which one is for 1,2 ,and 3
Solve 3-4/7 with steps pls
12 = 3 (g - 1)
Options are:
5
3
-5
-3
Answer:
It's 5.
Step-by-step explanation:
substituting g = 5 into the equation,
12 = 3(5 - 1)
12 = 12
Michelle wants to make a long-term investment. She wants to triple an initial investment of
$2,000. If she invests at a simple interest rate of 12% per year, approximately how long will it
take her principal to triple?
Answer:
It will take approximately 17 years
Step-by-step explanation:
Let the initial investment be x
The investment plus the principal yields 3x
The interest is thus 3x-x = 2x
Formula for simple interest is;
I = PRT/100
R is rate = 12%
T is time = ?
x =$2,000 which is the principal
2x = x * 12 * T/100
2 = 12t/100
12t = 200
t = 200/12
t = 16.67 which is approximately 17 years
Find the ratio (red to blue) of the perimeters of the similar triangles. Write your answer in simplest form.
Answer:
I think the answer is 9/2
A fish is 12 Meters below the surface of the ocean. what is it's evelation
Sharon owns a car lot in Virginia Beach. For every car that parks in her parking lot, she charges $5.00 per day. She uses this equation to determine her daily income: y = 5x, where x is the number of cars and y is the amount of money earned. What is true about this function?
Answer and Step-by-step explanation:
Given the function y = 5x where x is the total number of cars parked in her lot and y is the total money earned. Since x is the independent variable as the money earned, y, depends on the amount of cars parked, we can say that the domain (the actual values the independent variable can assume) of this function is:
x = {0, 1, 2, 3, . . .}
This is because x, the number of cars, can never be a negative number..
Also, the range, the set of all the values of the dependent variable y, is: {all the numbers divisible by 5, including 0}
If the scale is 1 cm : 8 in,
the length of a table is 9cm, what's the length of the real table?
The height of the real table is 48 in. What is the height of the table in the scale model?
Answer:
Length of real table: 72 in
Height of scale moble table: 6 cm.
Step-by-step explanation:
Multiply the 9 cm by 8 to get the scale to full size and divide the 48 by 8 to get the scale size.
What is the solution to the system of equations?
y = x + 1
y = x - 1
Answer:
No solution I believe
Step-by-step explanation:
Kathy jumped 16 1/2 ft at the long jump event. Nadia jumped 18 1/8 ft at the long jump. How much farther did Nadia jump than Kathy?
Answer:
12 ft
Step-by-step explanation:
First you do 16 x 2 +1 and you get 133, second you do 18 x 8 +1 = 145 third you need to subtract 145 - 133, and you get 12 feet.
Hope this helped.
Using the graph above identify the constant of proportionality between the number of shirts and how much they cost? Hint: simplify your answer
A. K=80
B. K=20
C. K=10
D. k=8
Answer:
We conclude that the constant of proportionality between the number of shirts and how much they cost is:
k = 8
Hence, option 'D' is correct.
Step-by-step explanation:
We know that when 'y' varies directly with 'x', we get
y ∝ x
y = kx
k = y/x
where k is called the constant of proportionality
Given the points
(10, 80)(20, 160)(50, 400)For (10, 80)
substituting y = 80 and x = 10 in the equation
k = y/x
k = 80/10 = 8
For (20, 160)
k = y/x
k = 160/20 = 8
For (50, 400)
k = y/x
k = 400/50 = 8
It is clear that the value of k is the same for all the points.
Thus, the value of k = 8
Therefore, we conclude that the constant of proportionality between the number of shirts and how much they cost is:
k = 8
Hence, option 'D' is correct.
*PLEASE ANSWER!!! QUICK*
Which equation has 12 as the solution?
a.) 4x + 2 = 2x + 10
b.) -5 + 2x = 4x - 13
c.) 6x – 7 + 3 = 32 + 3x
Answer: C
Step-by-step explanation:
6x-7+3 = 32+3x> 6x - 4 = 32+ 3x > 3x = 36 > x = 12
can someone help? ill give brainist if correct
Answer:
1/370
Step-by-step explanation:
I think I couldn't see it well
PLS HELP I'LL MARK BRAINLEST
Answer:
a
Step-by-step explanation:
180-50
Hey there!
Hope this helps!
x=130
The following graph shows the sales records of four employees over a period of six months.
A graph titled Sales has month on the x-axis and sales (dollars times 1,000) on the y-axis. Mary: Starts at 6.4 and ends at 8.6. Lewis: starts at 5.5 and ends at 6.9. Todd: Starts at 4.6 and ends at 3.3. Paige: Starts at 7.1 and ends at 7.1.
Which employee experienced the single greatest decline in sales between two months?
a.
Mary
b.
Lewis
c.
Todd
d.
Paige
Answer: D Paige
Step-by-step explanation:
Took the test
The employee who experienced the single greatest decline in sales between two months is Paige.
How to find the function which was used to make graph?There are many tools we can use to find the information of the relation which was used to form the graph.
A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
A graph titled Sales has a month on the x-axis and sales (dollars times 1,000) on the y-axis.
Mary: Starts at 6.4 and ends at 8.6.
Lewis starts at 5.5 and ends at 6.9.
Todd: Starts at 4.6 and ends at 3.3.
Paige: Starts at 7.1 and ends at 7.1.
The difference between the start sales and end sales represents the greatest decline.
Here, Paige has the least difference.
The employee who experienced the single greatest decline in sales between two months is Paige.
Learn more about finding the graphed function here:
https://brainly.com/question/27330212
#SPJ2
Allie bought some DVDs for $14.99 each. Which expression below represents Allie’s cost for d DVDs? A. 14.99 + d B. 14.99 + 14.99d C. 14.99 ÷ d D. 14.99d
Answer:
D. 14.99d
Step-by-step explanation:
d represents the number of DVD's she purchased, and 14.99 was the cost for each DVD. Answer D is multiplying the variable d and the coefficient 14.99. When multiplying variables, there is no need to place a multiplication sign.
Answer:
C. 14.99 divided by d
Step-by-step explanation:
the answer is c because you don't know how many DVDs he bought so by dividing the answer you can then know the price of each DVD they bought.
In ASTU, S = 3.8 inches, t = 9.8 inches and u=9.6 inches. Find the measure of ZU to
the nearest 10th of a degree.
Answer: 75.8
Step-by-step explanation:
HELP PLEASE!!
Helen rolls a dice and flips a coin.
Calculate the probability that she gets a 4 and a tail.
Answer:
Step-by-step explanation:
The probability of getting a 4 is 1/6, the probability of getting a tails is 1/2. Add the two together 8/12. I don't know if its right but hopefully it helped.
Anyone know the correct answer?!
Answer: Lower-right corner [tex]3^7 \times \frac{1}{3^4}[/tex]
Explanation:
We use the rule that
[tex]a^{-b} = \frac{1}{a^b}[/tex]
The negative exponent tells us to apply the reciprocal if we want the exponent to be positive.
In this case, a = 3 and b = 4
So,
[tex]a^{-b} = \frac{1}{a^b}\\\\3^{-4} = \frac{1}{3^4}[/tex]
which is why overall,
[tex]3^7\times 3^{-4} = 3^7 \times \frac{1}{3^4}[/tex]
Clear x.
5x-5 one
———= ——-
X-2 3
Answer:
5x-5 = 5(x−1)
X-23 = =x−23
Step-by-step explanation: hope this help
There are 15 students not going on the field trip. That is 6% of all
of the 6th graders, How many 6th graders are there?
Answer:
250
Step-by-step explanation:
15=6%
?=1%
15/6=2.5
2.5=1%
1%=1/100
2.5 x 100=
250
I will give you 15 points
Answer: A, D
Step-by-step explanation:
Find the Circumference of the circle.
30 points for whoever answers this
Answer:
87.92
Step-by-step explanation:
(2)(3.14)=6.28
(6.28)(14)=87.92
2(pi)(r)
How do I do this please help
Answer:
A
Step-by-step explanation:
is the answer Aaaaaaaaa
WHY are my cheeks so big and juicy what do I do
Answer:
Ask for a refund. Those fake buttox's aren't right for you,
Step-by-step explanation:
Answer:
You are Theodore from Alvin and the chipmunks, You can use them to store food
Step-by-step explanation:
ok
Which could be the dimensions of a rectangle with an area of 60 square units? 1 by 60 units 4 by 15 units 8 by 8 units 10 by 6 units 60 by 2 units
Answer: 1 by 60 units
4 by 15 units
10 by 6 units
Step-by-step explanation: Any two numbers that when multiplied together produce 60 will work.
8 times 8 is 64, and 60 times 2 is 120. So those will not work as dimensions for a rectangle with 60 square units.
Answer:
The answer is A,B,D
Step-by-step explanation:
Took the test on edge :)
Have a great day
Consider a cube that measures 1 inch on each side. We can think of a cubic foot as a dilation of the cubic inch by a factor of 12. What is the volume, in cubic inches, of a cubic foot? *
The volume of the cube is 1 cubic foot.
Volume of cube:Given that, each side of cube is 1 inch.
When dilation of the cubic inch by a factor of 12. Then each side of cube became 12 inches.
As we know that,
[tex]12inch=1 foot[/tex]
So that, each side of cube become 1 foot.
Volume of cube [tex]=(side)^{3}[/tex]
[tex]Volume=1^{3}=1ft^{3}[/tex]
Learn more about the volume of cube here :
https://brainly.com/question/1972490
Answer:
its 1728
Step-by-step explanation: