Answer:
7Step-by-step explanation:
[tex]f(x) = x^2 + x\\g(x) = 3x + 1\\\\g(f(-2)) = ?\\f(-2) =?\\[/tex]
To find f(-2) , Substitute -2 for x in the given equation ;
[tex]f(-2)= (-2)^2 +(-2)\\f(-2) = 4-2\\f(-2) = 2[/tex]
To find g(f(-2)) ;
[tex]g(f(-2))\\f(-2) =2\\\\= g(f(-2)) = g(2)\\[/tex]
To find g(2) , substitute 2 for x in the given equation
[tex]g(x) = 3x+1\\g(2) = 3(2)+1\\\\g(f(-2)) = 6+1\\\\g(f(-2))=7[/tex]
Value of g(f(-2)) is equals to 7.
What is composition function?"Composition function is defined as where two function combined together to create a new function. It is denoted by 'o'."
According to the question,
Given,
f(x) = x² + x
g(x) = 3x + 1
Substitute the value x=-2 in function f(x) we get,
f(-2) = (-2)² +(-2)
= 4 -2
= 2 ______(1)
Again substitute the value of x = f(-2) in g(x) to get composition function,
g(f(-2)) = 3f(-2) +1
Substitute the value f(-2) from (1) we have,
g(f(-2)) = 3(2) + 1
⇒ g(f(-2)) = 7
Hence, value of g(f(-2)) is equals to 7.
Learn more about composition function here
https://brainly.com/question/20379727
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Beakers X and Y contain some water. If 50 ml of water is transferred from Beaker X
to Beaker Y, there will be 3/7 as much water in Beaker X as in Beaker Y. IF 100 ml
of water is transferred from Beaker Y to Beaker X, there will be 4 times as much
water in Beaker X as in Beaker Y. How much water is there in Beaker X?
Answer:
140 ml
Step-by-step explanation:
Let x be the amount of water in Beaker X and y be the amount of water in Beaker Y.
Then we get following equations:
First part
x - 50 = 3/7(y + 50)7x -350 = 3y + 1507x = 3y + 500Second part
x + 100 = 4(y - 100) x + 100 = 4y - 400x = 4y - 500Substitute x in first equation:
7(4y - 500) = 3y + 50028y - 3500 = 3y + 50028y - 3y = 500 + 350025y = 4000y = 4000/25y = 160 mlThen finding x:
x = 4*160 - 500x = 640 - 500x = 140 mlInitial amount of water in Beaker X is 140 ml, in Beaker Y is 160 ml
The value below lies between which two integers on a number line.
-V57
А.
-7 and -8
B.
7 and 8
С
56 and 58
D
-56 and -58
Help fast
Answer:
2(29D-28adn-29)
Step-by-step explanation:
Expand (3+√5)(2+√5)
Give your answer in the form a+b√5 where a and b are integers.
Answer:
11 + 5[tex]\sqrt{5}[/tex]
Step-by-step explanation:
Note that [tex]\sqrt{5}[/tex] × [tex]\sqrt{5}[/tex] = 5
Given
(3 + [tex]\sqrt{5}[/tex] )(2 + [tex]\sqrt{5}[/tex] )
Each term in the second factor is multiplied by each term in the first factor, that is
3(2 + [tex]\sqrt{5}[/tex] ) + [tex]\sqrt{5}[/tex](2 + [tex]\sqrt{5}[/tex] ) ← distribute both parenthesis
= 6 + 3[tex]\sqrt{5}[/tex] + 2[tex]\sqrt{5}[/tex] + 5 ← collect like terms
= 11 + 5[tex]\sqrt{5}[/tex] ← in the form a + b[tex]\sqrt{5}[/tex]
with a = 11 and b = 5
7/15 in decimal form
Answer:
0.46666666666667
Step-by-step explanation:
You could use long division, and see that 7/15 = 0.46666666667.
HELPPPPP MEEEEE I WIIILLLLL GIVVVEEE BBRRRAIINNNNNLLLLIEEESTTTT!!!!! I pay $2.25 per gallon of gasIf I get a drink they take $.50 per gallon . What is my cost if I get 10 gallons of gas?
Answer:
$17
Step-by-step explanation:
10 x 2.25 = 22.5
10 x .50 = 5
22.5 -5 = 17
I think this is correct. Sorry if it isn't though!!!!!!
What’s the area of a square with the vertices (3,3),(6,6),(9,3), and (6,0)
Answer:
I believe the area of a square with those vertices is 16 units
Write an equivalent expression by distributing the "-−" sign outside the parentheses: -(3.4p-6q+6) −(3.4p−6q+6)
Answer:
[tex]-(3.4p-6q+6)[/tex] = [tex]-3.4p+6q-6[/tex]
Step-by-step explanation:
Given
[tex]-(3.4p-6q+6)[/tex]
Required
Simplify
[tex]-(3.4p-6q+6)[/tex]
Rewrite as
[tex]-1(3.4p-6q+6)[/tex]
[tex]-1 * (3.4p-6q+6)[/tex]
Open the bracket
[tex]-3.4p+6q-6[/tex]
please answer this question with explanation
What is the answer to this problem (5x- 10) - 9
Sara bought a meal in a town that has no sales tax. If she tipped 20% and paid a total of $18.96, what was the original cost of her meal?
Answer: $18.76
Step-by-step explanation:
Let original cost of meal =x
According to question,
x+20%=18.96
x=18.96-20%
x=$18.76
Answer:
original cost of meal = $15.80
Step-by-step explanation:
120% = $18.96 (divide both sides by 120)
1% = $0.158 (multiply both sides by 100)
100% = $15.80
hope this helps...
A bakery sold a total of 500 cupcakes in a day, and 200 of them were mocha flavored. What percentage of cupcakes sold that day were mocha flavored?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{40\% \: }}}}}[/tex]
Step-by-step explanation:
Total number of cupcakes = 500
Total number of mocha flavored cupcakes = 200
To find : percentage of mocha flavored cupcakes sold that day
[tex] \boxed{ \sf{ \frac{total \: number \: of \: mocha \: flavored \: cupcakes}{total \: number \: of \: cupcakes} \times 100 \: \% \: }}[/tex]
[tex] \dashrightarrow{ \sf{ \frac{200}{500} \times 100\%}}[/tex]
[tex] \dashrightarrow{ \sf{40 \: \% \: }}[/tex]
Hope I helped!
Best regards ! :D
Answer:
40% were mocha flavored cupcakes.
Step-by-step explanation:
200/500 = 2/5
2/5 = 40%
Hope it helped you!
If f(x) = 2x+7 and g(x) = -3x+5, what is f(g(4))?
Answer:
-7
Step-by-step explanation:
So we have the two functions:
[tex]f(x)=2x+7\text{ and } g(x)=-3x+5[/tex]
And we want to find f(g(4)).
So, find g(4) first:
[tex]g(x)=-3x+5\\g(4)=-3(4)+5[/tex]
Multiply:
[tex]g(4)=-12+5[/tex]
Add:
[tex]g(4)=-7[/tex]
Now, substitute:
[tex]f(g(4))=f(-7)[/tex]
Use the equation from f(x):
[tex]f(x)=2x+7\\f(-7)=2(-7)+7[/tex]
Multiply:
[tex]f(-7)=-14+7[/tex]
Add:
[tex]f(-7)=-7[/tex]
So:
[tex]f(-7)=f(g(4))=-7[/tex]
And that's our answer :)
find the coordinates of the other endpoint of the segment of one endpoint is (-2,-7) and midpoint is (6,-10)
Answer:
(14, - 13 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]
let (x₁, y₁ ) = (- 2, - 7) and (x₂, y₂ ) = (x, y)
Using the midpoint formulae equate to the coordinates of the midpoint.
[tex]\frac{1}{2}[/tex] (- 2 + x) = 6 ( multiply both sides by 2 )
- 2 + x = 12 ( add 2 to each side )
x = 14
and
[tex]\frac{1}{2}[/tex] (- 7 + y ) = - 10 ( multiply both sides by 2 )
- 7 + y = - 20 ( add 7 to both sides )
y = - 13
Thus
coordinates of other endpoint = (14, - 13 )
Find the remainder when (2x^2 +2x+1) is divided by ( x+1)
Use the remainder theorem, which says the remainder upon dividing a polynomial [tex]p(x)[/tex] by [tex]x-c[/tex] is exactly [tex]p(c)[/tex]. In this case,
[tex]p(x)=2x^2+2x+1[/tex]
[tex]c=-1[/tex]
[tex]\implies p(c)=2(-1)^2+2(-1)+1=\boxed{1}[/tex]
Given x=-3, y=6, and z=-4 22-3y+4x=
Answer: -8
Explanation: It's a good idea to get into the habit of using parenthses
when substituting numbers in for variables.
Since x = -3 and y = 6, 22 - 3y + 4x is 22 - 3(6) + 4(-3).
3(6) is 18 so we have 22 - 18 + 4(-3).
4(-3) is - 12 so we have 22 - 18 + -12.
Now, 22 - 18 is 4 and 4 + -12 is -8.
Answer:
-8
Step-by-step explanation:
Subsitute the variable "y" with 6 and the variable "x" with -3. Once the variables are replaced with the right numbers, the equation should read 22- 3(6) +4(-3). Using PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction) you should do what's in the parentheses first. -3 times 6 is -18 and 4 times -3 is -12. 22-18-12= -8
plz help ASAP!!! WILL MARK U BRAINLIEST IF CORRECT
Answer:
I think it is A.
Step-by-step explanation:
36=6u+30 PLEASE HELPPPP!!!
Answer: u = 1
36 = 6(1)+30
Step-by-step explanation:
Answer:
1=u
Step-by-step explanation:
36-30=6u+30-30
6=6u
6÷6=6u÷6
1=u
Hours of
Training
10
20
30
40
50
60
70
Monthly
Pay
1100
1200
1300
1400
1500
1600
1700
According to the table, how many hours of training would you need to have a
monthly pay of $1140?
A. 12
B. 4
C. 2
D. 14
Which ordered pair would form a proportional relationship with the point graphed below?
ТУ
40
30
20
10
-40-30-20-1904 10 20 30 40 x
2
Bo
(-10,-40)
440
O (40, 10)
(-5, -10)
(5, 20)
O (-10.-20)
Answer:
(10, -20)
Step-by-step explanation:
i took the test plz put me as brainist
Half the perimeter of a rectangular room is 46 m, and its length is 6 m more than its breadth. What is the length and breadth of the room?
Answer:
26 m and 20 m
Step-by-step explanation:
Let the length of the room be l, the breadth be b and perimeter be P.
Given:
P/2 = 46 ml = b + 6 mSolutionSince P = 2(l + b), P/2 = l +b, we have following equations:
l + b = 46l = b + 6Substituting l in first equation:
b + 6 + b = 462b + 6 = 462b = 40b = 20 mThen the length is:
l = b + 6 = 20 + 6 = 26 mExplain how economic forces such as employment, income, prices, interest rates, and consumer confidence influence the purchasing decisions you make as a consumer.
Answer: kindly check explanation
Step-by-step explanation:
As a consumer, a number of factors play a number of factors play a major role and guides my purchasing decision. These factors include :
Employment : Being employed or self employed and being unemployed definitely plays a role in one's income level. An unemployed individual may tend to be more conservative when deciding on what or what not to purchase.
Income : Employment has grades which could be defined based on income level of workers, individuals with higher wages or salaries will tend to boast more financial strength than those with meager income.
Prices : Cost of items may be used to interpret quality product in some cases, hence some individuals may be put off by high cost associated to a product while some may be attracted to them.
Interest rate: Interest rates are often unstable and as such may guide an individual's investment plan, by holding on when interest falls and financing when it rises.
Consumer confidence : The contentment individuals derive from using a product may be nurtured through previous experience and hence either builds consumer confidence in a certain brand or a loss or decline in confidence over such product.
Can somebody help me with this ?? :)
Answer:
Your answer would be D, the equation is a function because it is a polynomial and all polynomials are functions.
Step-by-step explanation:
I like to remember that polynomials have no negative , fraction exponents and no division. In this case everything is positive so I knew it was a polynomial , and like the answer says all polynomials are functions !
Hope this helped
Can you trace this figure without
lifting your pencil from the paper
and without retracing any line?
Trace through your answers to
the exercises in the order they
are given.
find the length of the line segment AB if the coordinates of the end points are A (-1, 5) & B (3,11)
Answer:
5,6
Step-by-step explanation:
Help needed ASAP will give brainliest
Answer:
I guess the answer is going to be 9/5
Please show all work and not just the answers.
Answer:
√113
Step-by-step explanation:
As per distance formula:
d = [tex]\sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]Points are:
A(-4, -3) and B(3,5)So the distance:
d = [tex]\sqrt{(3+4)^2 + (5+3)^2}[/tex] = [tex]\sqrt{7^2 + 8^2}[/tex] = [tex]\sqrt{49+64} = \sqrt{113}[/tex]Answer is √113
Answer:
√113
Step-by-step explanation:
B(3,5) , A(-4,-3)
distance between 2 points : d
d=√(x2-x1)²+(y2-y1)²
d=√(3-(-4)²+(5-(-3)²
d=√7²+8²
d=√49+64
d=√113
I WILL GIVE BRAINLIEST a scale on a map shows that 2 inches = 25 miles Part A: How many inches on the map = 60 miles? ------------------------------------------------------------------------ Part B: How many miles are represented by 1/4 inch on the map?
Answer:
4.8 in, 3.125 mi
Step-by-step explanation:
This situation models direct proportionality, hence, if one variable increases, the other goes increases as well and vice versa. In this case, the variables are inches and miles.
Part A: Since you multiply 60/25 by 25 to get 60 miles, we know that the value in inches will be 2 * 60/25 = 4.8 inches.
Part B: Since you divide 2 by 8 to get 1/4 inches, we know that the value in miles will be 25 / 8 = 3.125 miles.
Could you explain to me how I'm supposed to solve this and all the steps?
Answer:
98 degrees
Step-by-step explanation:
The total sum of the angles of a pentagon is 540 degrees and the sum of the four given angles is 442 degrees. So, the answer is 540 - 442 = 98
How many solutions does the equation 4y − 4y − 12 = 14 − 2 have?
Answer:
NONE
Step-by-step explanation:
4Y-4Y-12=14-2
LETS ADD AND SUBTRACT
-12=12
WHICH ISNT TRU!
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
Answer:
None
Step-by-step explanation:
The equation states after simplifying that -12 = 12 which is not a true statement.
on Tuesday at low tide the water was 17 ft below sea level. Then it rained for three days and the water level rose 20 feet. On Saturday it the water level dropped 5 ft and by Sunday it dropped another 3 feet. what was the water level by the end of the day on Sunday?