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
A chemist has 100 ml of 25% acid solution. how much of the solution does she need to drain and replace with 70% acid solution to obtain 100 ml of 60% acid solution?
Answer:
The proportion of acid at 70% that the chemist must use will be 77.8%, while the remaining 22.2% will be acid at 25%.
Step-by-step explanation:
Since the chemist has 100 ml of solution with 25% acid, and wants to obtain a solution of 60% acid by mixing the first with another 70% acid solution, to determine how much of each solution the chemical should use necessary to perform the following calculation:
70 x 1 + 25 x 0 = 70
70 x 0.9 + 25 x 0.1 = 65.5
70 x 0.8 + 25 x 0.2 = 61
70 x 0.7 + 25 x 0.3 = 56.5
Therefore, the proportion to be used is between 70% and 80% of acid at 70%, and 20% to 30% of acid at 25%.
70 x 0.75 + 25 x 0.25 = 58.75
70 x 0.76 + 25 x 0.24 = 59.2
70 x 0.77 + 25 x 0.23 = 59.65
70 x 0.78 + 25 x 0.22 = 60.1
Thus, the proportion should be between 77 and 78% of acid at 70% and 22 and 23% of acid at 25%.
70 x 0.778 + 25 x 0.222 = 60.01
Thus, finally, the proportion of acid at 70% that the chemist must use will be 77.8%, while the remaining 22.2% will be acid at 25%.
Help plz ^-^ will give brainliest!
Answer:
E
Step-by-step explanation:
I took the test too!
Really need help with this problem?
Answer:
6,400
Step-by-step explanation:
I finished I-Ready I dont do it anymore its easy
A store is offering a discount on shorts of 23.4%.The original price of the shirt is $13.24.how much will you have to pay the clerk
Answer:
Step-by-step explanation:
Hi
Answer:
13.24
Step-by-step explanation:
Your buying a shirt not shorts
select the correct answer
Answer:
b
Step-by-step explanation:
cause i say so.
question is in png pls some1 help.
Answer:
They r both 60°
Step-by-step explanation:
By the transversal lines law x=y
And by the parallelograms law x=60°
I hope I helped pls give me brainliest
PLS HELPPPPP!!!!!!!!!!!!!!!!!!
what is 2/5 times 11 in simplest form?
Answer:
4.4 would you let me know if you need an explanation and pls don't delete.
Hmmmm i think its 5/22
Step-by-step explanation:
So basically how i got it was 2/5*11
And that got me 5/22
I do not think you could simplify this
Either I'm very smooth brain or you can't simplify 5/22
What is the area in square feet 6.ft, 8ft
Answer:
48 Squared Feet
Step-by-step explanation:
6 * 8 = 48
Answer:
48ft2
Step-by-step explanation:
6ft x 8ft = 48ft2
Answer - 48ft2
2y=2x+6
Solve for y
Answer:
y=x+3
Step-by-step explanation:
Answer:
y = x + 3
Step-by-step explanation:
Divide each term by 2 and simplify.
what is the sum of 7/9 plus 3/5
Answer:
[tex]\frac{62}{45}[/tex]
Step-by-step explanation:
if Scott types 210 words in 5 minutes how many words can he type in a minute
Answer:
42
Step-by-step explanation:
210 divided by 5 is 42
Fine the values of x and y. Please explain .
Ricardo ran the 60-meter sprint in 5 seconds. Which best represents Ricardo’s rate in meters per second?
Answer:
1.8 or less
Step-by-step explanation:
girls 1.8 or less
Ricardo’s rate in meters per second is equivalent to 12 meters per second.
What is rate of change?Rate is defined as the rate of change of one variable with respect to other variable.{r} = dy/dx
In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that Ricardo ran the 60-meter sprint in 5 s.
Ricardo’s rate in meters per second
r = d/t
r = 60/5
r = 12
Therefore, Ricardo’s rate in meters per second is equivalent to 12 meters per second.
To solve more questions on expression evaluation, visit the link below -
brainly.com/question/1041084
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A car travels 58.6 miles an hour. if the car continues at the same speed for 14 hours, how many miles will it travel
Answer:
58.6*14=820.4 miles
Step-by-step explanation:
PLEASE HELP
Write an equation for a line perpendicular to f(x)=5x-1 and passing through the point (5,20).
Answer:
f(x)=-5x+1
Step-by-step explanation:
i hope this works for you
If Michael and Imani add an 18% tip to the bill, what does their lunch cost in total? Enter your answer in the box.
Answer:
$35.22
Step-by-step explanation:
The bill would be $29.85, and the total would be $35.22
Answer:
part A is $32.24 NOt sure what part B is yet
Step-by-step explanation:
Use synthetic division to determine f(-2) for the function f (x) = 9x^3 - 18x^2 - 16x + 32
Answer: -80
Step-by-step explanation:
PLZ HELP TROLL ANSWERS GET REPORTED MAKE IT UNDERSTANDABLE Match each expression to its value.
Answer:
7-5 => 2-7+5 => -2-7-5 => -127-(-5) => 12Step-by-step explanation:
Lets solve the expressions one by one
1. 7-5
we can see that it is simple subtraction. A smaller number is being subtracted from a large number.
So the answer is 2
2. -7+5
There are two numbers with different signs. When there is a number with plus and a number with minus both quantities are subtracted but the larger quantity determines the sign of the answer.
In this case, 7 is larger and has negative sign, the answer will be -2
3. -7-5
When there are two numbers with minus sign they are added but the answer has the minus sign with it.
So the answer will be: -12
4. 7-(-5)
When minus is multiplied with minus it converts to positive
So
[tex]= 7-(-5) = 7+5 = 12[/tex]
Hence,
7-5 => 2-7+5 => -2-7-5 => -127-(-5) => 12Please Help Meeee! Its a multiple answers..
Answer:
B C E
Step-by-step explanation:
trust me... its too hard to explain
What is the probability that the highest level of education of an adult is a high school diploma, given that they have completed at least one of the education levels shown?
A. 0.04
B. 0.16
C. 0.47
D. 0.84
Answer:
Probability = 0.04 (Approx)
Step-by-step explanation:
Given:
High school diploma = 0.03
Total holder = 0.03+0.44+0.26+0.11 = 0.84
Find:
Probability
Computation:
Probability = 0.03 / 0.84
Probability = 0.0357
Probability = 0.04 (Approx)
Between the hours of 10pm and 6am, the temperature decreases an average of 3/4 of a degree per hour. How long will it take for the temperature to decrease by 5 degrees?
Answer: it take for the temperature to decrease by 5 degrees 5 weeks
Step-by-step explanation:10pm and 6am, the temperature decreases an average of 3/4 of a degree per hour.
A hill slopes at an angle of 12.5° with the horizontal. From the base of the hill, the angle of inclination of a 459 foot tower at the top
of the hill is 36. How much rope would be required to reach from the top of the tower to the bottom of the hill (round to the nearest
integer)?
A)
188 feet
B)
424 feet
C)
665 feet
D)
1124 feet
Answer: D. 1124
Step-by-step explanation:
Usatestpre
If f x) = [x – 3], find f (5.6 ).
Answer:
2.6
Step-by-step explanation:
We have the function f (x) = [x – 3]
We need to inster the value required which is 5.6
f (5.6) = [5.6 – 3]=
5.6-3 =2.6
f (5.6)=2.6
I need help please *an image is attached*
Answer:
D
Step-by-step explanation:
Other choices dont make sense to the question being asked.
The Y axis is not crossed at -2 so C and D is out of question
The line isnt going downward from left to right so A is out
Is the amount of candy bars sold proportional to the money Isaiah received? How do you know?
Answer:
The two quantities are not proportional to each other because a constant describing the proportion does not exist
Step-by-step explanation:
It's honestly just random numbers. None of them are proportional to the other side of the table.
Let me know if you need more help with the topic :)
Answer:The two quantities are not proportional to each other because a constant describing the proportion does not exist.
Source:trust me bro
I need help can you help me please
Answer:
with i cant see the problem so i dont lnow
i need the awnser ASAP plz!!
Answer:
it is D
Step-by-step explanation:
the ratio is 1.5 so multiply 15 by 1.5
Anyone know- I need help.
Answer: 5on x axis 2 on the y axis
Answer:
The answer would be (5,2)
:D Have a Great Day :D
9 out of 36 students wear glasses what percent of students wear glasses
Answer:
25%
Step-by-step explanation:
9 out of 36 is equal to 9/36, which equals 1/4.
1/4 is a quarter of a whole. a quarter is 25%
25%
9/36 = 1/4 = 0.25 = 25%
what is the value of 5w if w=6
Answer:
30
Step-by-step explanation:
5 x 6