use f(x)=5x+2 and g(x)=3-x. what is the value of f(g(-1)) and g(f(-1))?
Answer:
f(g(-1)) = 22
g(f(-1))=6
Step-by-step explanation:
We are given
[tex]f(x)=5x+2 \\g(x)=3-x[/tex]
We need to find f(g(-1)) and g(f(-1))
Finding f(g(-1))
First we will find f(g(x)) i.e
[tex]f(g(x))=5(3-x)+2\\f(g(x))=15-5x+2\\f(g(x))=-5x+17[/tex]
Now finding f(g(-1)) by putting x=-1
[tex]f(g(x))=-5x+17\\Put \ x=-1\\f(g(-1))=-5(-1)+17\\f(g(-1))=5+17\\f(g(-1))=22[/tex]
So, f(g(-1)) = 22
Finding g(f(-1))
First we will find g(f(x)) i.e
[tex]g(f(x))=3-(5x+2)\\g(f(x))=3-5x-2\\g(f(x))=-5x+1[/tex]
Now finding g(f(-1)) by putting x=-1
[tex]g(f(x))=-5x+1\\Put \ x = -1\\g(f(-1))=-5(-1)+1\\g(f(-1))=5+1\\g(f(-1))=6[/tex]
So, g(f(-1))=6
Last month a car dealership sold 80 cats. Of all cars sold 15% of them were red how many cars that were sold were red
•12
•14
•65
•68
Answer:
12
Step-by-step explanation:
Multiply 80 by .15
it is 12............ :))
A chocolate chip cookie recipe needs 2 cups of chocolate chips and teaspoon of salt. If the recipe is increased to 6 cups of chocolate
chips, how many teaspoons of salt are needed?
Answer:
3 teaspoons
Step-by-step explanation:
Since we need 1 teaspoon for 2 cups, I would only assume we would keep adding a teaspoon for every 2 additional cups of chocolate chips.
2 + 2 + 2 = 6
We would need an additional teaspoon of salt for each of the sets of two.
Any help please I appreciate it
Answer:
VW = 23
Step-by-step explanation:
Since VU is 31 and part of it (WU) is 8, the remaining (VW) would be 31-8 = 23.
Answer:
23
Step-by-step explanation:
vw= vu-wu
vw=31-8
vw=23
Find the slope of the line through (2, -3) and (5, -3)
Answer:
0
Step-by-step explanation:
We can find the slope by using the slope formula
m = ( y2-y1)/(x2-x1)
= ( -3 - -3)/ ( 5-2)
= ( -3+3)/(5-2)
= 0/3
=0
y = 3x - 2. What is the slope?
Answer:the slope is 3
Source: trust me bro
How long does it take for the contestant to go from A to D if 15 feet is a second. I got 13.333 seconds but it says im wrong. Can someone help me out please
========================================================
Explanation:
Since triangle ABD is congruent to triangle CBD, this means the corresponding pieces AB and BC are the same length. Both are 70 feet.
Similarly, AD = DC = 60 ft.
The total length traveled is:
AB+BC+CD = 70+70+60 = 200 ft
We never use BD = 50 at all.
Divide this total distance over the speed of 15 ft per second, and we get 200/15 = 13.333 seconds approximately.
You are correct so far. You just need to round this value to the nearest tenth, as the instructions indicate. So you'll round to one decimal place. The value 13.333 turns into 13.3 which is the final answer.
Could I get help on this it’s important!!!
Answer:
-14, -4, 16, 21, 26
The graph of an ellipse is shown. Which equation represents this ellipse?
A. (x-2)^2/6^2 + (y-4)^2/3^2 =1
B. (x-2)^2/12^2 + (y-4)^2/6^2 =1
C. (y-4)^2/6^2 + (x-2)^2/3^2 =1
D. (y-4)^2/12^2 + (x-2)^2/6^2 =1
Answer:
d
D IS THE ANSWER!! JUST TOOK TEST
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Ed2021
Identify the rate of change
Answer:
The rate of change is -2
Step-by-step explanation:
I know because I used a calculator and it is decreasing by 2 in the x column. Plzz can I have brainiest
Cooper is opening an online savings account to hold his $20,000 emergency fund. The online account pays 1.5% interest compounded monthly. If Cooper does not deposit or withdraw any money from the account, how much will be in the account in 25 years
Answer:
After 25 years, Cooper will have $29,093.01 in his savings account.
Step-by-step explanation:
While Cooper opened an emergency savings account of $ 20,000, which yields an annual interest of 1.5% compounded monthly, to determine how much money he will have in his account after 25 years, the following calculation must be performed:
X = 20,000 (1 + 0.015 / 12) 25x12
X = 29,093.01
Therefore, after the passage of 25 years, Cooper will have $ 29,093.01 in his savings account.
Paco buys a total of 15 pencils and markers for $ 11.15. Each pencil costs $ 0.30. Each marker costs $ 1.25
Answer: Paco bought 7 markers and 8 pencils.
Step-by-step explanation:
Let's define the variables:
P = number of pencils that Paco bought
M = number of markers that Paco bought.
We know that P + M = 15.
We also know that each pencil costs $0.30 and each marker costs $1.25, and the total price for the whole purchase is $11.15
Then:
P*$0.30 + M*$1.25 = $11.15
Then we have the system of equations:
P + M = 15
P*$0.30 + M*$1.25 = $11.15
To solve this, we can start by isolating one of the variables in the first equation, let's isolate P.
P = 15 - M
Now we can replace this in the second equation to get:
(15 - M)*$0.30 + M*$1.25 = $11.15
$4.50 - M*$0.30 + M*$1.25 = $11.15
$4.50 + M*$0.95 = $11.15
M*$0.95 = $11.15 - $4.50 = $6.65
M = $6.65/$0.95 = 7
Then paco bough 7 markers, and we can find the number of pencisl by the equation:
P + M = 15
P = 15 - M = 15 - 7 = 8
Then Paco bought 7 markers and 8 pencils.
HELP PLEASEEEEEEEEEEEEEEE ITS A GRADE
Answer:
1. b
2. d
3. a
4. A
Step-by-step explanation:
Answer: ITs A
Step-by-step explanation:
Because they are all real numbers and the other options are incorrect
What is the domain of this relation?
Please help ASAP !! I’ll give brainleist
Answer:
x=12
y=9
Step-by-step explanation:
Since the two triangles are equal, the hypotenuse of each are equal as well, meaning 2x is equal to x+12. 2 times 12 equals 24, and 12+12 also equals 24.
the shorter sides are also equal to each other, so (y+5) equals (2y-4). 9+5 equals 14, and 2 times 9 minus 4 also equals 14.
Last month Maria worked 150 hours. Her friend, Sara, suggested that this month Maria should work 15% more hours than she did last month so she can save for Christmas gifts. If Maria takes Sara’s advice, how many hours will Maria work this month?
Answer:
Step-by-step explanation:
So, ahem if I am even close to giving you an accurate answer then the logical part of me in my brain is still working. If she worked 150 hours and she were to take Sarah's advice to work 15% more. We first need to know what 15% of 150 is to find that we can do 10 percent of 150 which we put 150. and we move that decimal over one place to the opposite of the side right. What do we get well we get 15.0 and we let that be. Then since we still need to find the other 5% of 150 we can take the 15.0 and divide by 2. We can do 14÷2=7 we can add that to the 15.0, and get 22, now we put that aside then we can do the 1÷2=.5. We can then do 22+.5=22.5. then we have to do 150+22.5=172.5
since it is 15% more than 150. Sorry if this is not very understandable,
incorrect, and confusing I tried. I hope that I helped with something. I try to trick you a bit I hope that you catch on. :)
PLEASE HELP I AM STRUGGLING
Answer:
y=-2x+2
Step-by-step explanation:
the slope intercept form is y=mx+b
slope - to find the slope from 2 point you do (y2-y1)/(x2-x1) so it would be
(14-2)/(-6-0). which out simplify to -2.
y-intercept - the y-intercept is given in one of the points (0,2).
Which similarly proves the two triangles are similar?
Answer:
If their angles are the same, if they are proportional, if it states so
Step-by-step explanation:
I don't see the image you sent, but just naming different things that proves how triangles are similar.
what is y= -5/4x+6 on a graph
I tried mathaway but it's not helping
Answer:
6.oz and all other things are going on
Step-by-step explanation:
its been a few weeks and I've just got back to
PLS HELP ASAP... WILL MARK BRAINLIEST!!!!
Parallel lines r and s are cut by two transversals, parallel lines t and u.
How many angles are alternate exterior angles with angle 5?
Answer:
2 angles
Step-by-step explanation:
only 2 angles are ternate exteriors
Answer: 12
Step-by-step explanation:
I did it
find the slope of the line please help!
Answer:
the slope is 2/3
Answer:
Step-by-step explanation: First you determine if the slope if positive (increasing) or negative (decreasing). Second you use two points on the line, calculate the rise and the run and express it as a fraction (rise over run). Rise is the change in the y-value and Run is the change in the x-value.
What number does E represent
Answer: 6
Step-by-step explanation: i hope this helps Brainliest please
Multiply. 25.5 × 5.46
Answer:
139.23
Step-by-step explanation:
Answer:
The answer is ... 139.23
Step-by-step explanation:
2000x5000000000000000000000000000
Answer:
your answer is 1e+31
Step-by-step explanation:
Answer:
1e+31
Step-by-step explanation:
(a) 12 is 15% of what?
Solve using inverse operations. Show your work. 3(-n + 4) + 5n = 2n
Answer:
no solution
Step-by-step explanation:
-3n + 12 + 5n = 2n
subtract 2n from both sides to get all the n’s on one side
-3n - 2n + 5n + 12 = 0
Combine n’s Which actually cancel themselves out. This leaves
12 = 0
12 can never equal 0 so there is no solution.
A club has 11 members.
a) How many different 3-member committees could the club form?
b) In how many ways can a club president, treasurer, and secretary be chosen?
c) By what factor do the answers in parts b) and c) differ? How do you account for this difference?
Answer:
good
Step-by-step explanation:
calculate it on alculator
Help me plz. I’ll give good points.
Answer:
A is the answer because the -T is right at 0
The mean height of women in a country (ages 20 - 29) is 64.3 inches. A random sample of 65 women in this age group is selected. What is the probability that the mean height for the sample is greater than 65 inches? Assume o = 2.81. The probability that the mean height for the sample is greater than 65 inches is (Round to four decimal places as needed.) Enter your answer in the answer box and then click Check Answer. Clear All All parts showing e
Answer: 0.4016
Step-by-step explanation:
Let x be a random variable that represents the height of women in a country.
Mean : [tex]\mu=64.3[/tex] inches
Sample size : n= 65
Standard deviation: [tex]\sigma=2.81[/tex]
The probability that the mean height for the sample is greater than 65 inches = [tex]P(x>65)=1-P(x<65)[/tex]
[tex]=1-P(\dfrac{x-\mu}{\sigma}<\dfrac{65-64.3}{2.81})\\\\= 1-P(z<0.2491)\\\\=1-0.5984\ \ \ \text{[By p-value table]}\\\\=0.4016[/tex]
Hence, the probability that the mean height for the sample is greater than 65 inches = 0.4016
Please help me with this question ASP
Answer:
5/6 pounds
Step-by-step explanation:
2 1/2=5/2. 1/3 of 5/2=1/3•5/2. 1/3•5/2=5/6.
Answer:
5/3
Step-by-step explanation:
[tex]2\frac{1}{2} = \frac{5}{2}[/tex] 5/2 = 15/615/6 × 1/3 = 15/1815/18 = 5/615/6 - 5/6 = 10/610/6 = 5/3I hope this helps!