![If F(x) = 2x + 1, Andg(x) = X - 3, Thenf(g(x)) = [ ? ]x + [ ]](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/7hCvxxaOaFE0MwKZUVycBJwqCXxgxcQZ.png)
Answers
Answer:
First box +2
Second box -5
Step-by-step explanation:
Just an Example,
If f(x) = 2x + 1 and we need f(2) we would replace the x in the function with the number 2 because 2 is the domain of the function , so f(2) would become,
f(2) = 2(2) + 1
f(2) = 4 + 1 = 5
Now the question is what is f(g(x)) in this case the domain of the function is g(x). In simpler words we replace x with the function g(x) so here goes,
[tex]f(x)=2x+1\\g(x)=x-3\\f(g(x))=2(x-3)+1\\f(g(x))=2x-6+1\\f(g(x))=2x-5[/tex]
so,
f(g(x)) = 2x - 5
f(g(x)) = 2x-5
What is function?A function from a set X to a set Y assigns to each element of X exactly one element of Y.
Given are two functions, f(x) = 2x + 1, and g(x) = x - 3,
f(g(x)) = 2(x-3)+1
f(g(x)) = 2x-6+1
f(g(x)) = 2x-5
Hence, f(g(x)) = 2x-5
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Related Questions
The height of a building is 1417 ft. How long would it take an object to fall to the ground from the top? Use the formula s = 16t ^ 2 where s is the distance, in feet traveled by an object falling freely from rest in seconds.
Answers
Given :
The height of a building is 1417 ft.
To Find :
How long would it take an object to fall to the ground from the top.
( Use the formula s = 16t² where s is the distance, in feet traveled by an object falling freely from rest in seconds. )
Solution :
Putting value of height in given equation, we get :
[tex]16t^2 = 1417\\\\t^2 = \dfrac{1417}{16}\\\\t^2 = 88.5625\\\\t = \sqrt{88.5625}\\\\t = 9.41 \ seconds[/tex]
Therefore, time taken by object to reach the ground is 9.41 seconds.
20pts answer please the picture
Answers
Answer: Hope this helps!
Step-by-step explanation:
Area of a trapezoid formula base a+base b/2*h
Base a is the top length (22.5)
Base b is the bottom length (49.9)
Add those two lengths together (22.5+49.9=72.4)
Divide that by two (72.4/2=36.2)
Then multiply that by the height (36.2*23.8=861.56)
So your area is 861.56
What is an equation of the line that passes through the points (-4, 3) and
(-1, 6)?
A. y = -x - 7
B. y = -x - 1 C. y = 7x + 1
D. y = x + 7
Answers
We have m=a= (y2-y1)/(x2-x1)=(6-3)/(-1+4)=1
Y=x+ b
For the b, we have : (-1,6) : 6= -1 + b
b=7
y=x+ 7
What is 100% of 7344
7344
4622
15,642
3672
Answers
Answer:
7344
Step-by-step explanation:
Answer:
the answer is 7344 mark brainliest
A certain financial institution declared Php 57.00 dividend per share for its common stock. The market value of the stock is Php 198.00. Determine the stock yield ratio. (percentage with 2 decimal places)
Answers
Answer:
28.79
Step-by-step explanation:
The dividend share is Php 57
The Market value for the stock is Php 198
Therefore the stock yield ratio can be calculated as follows
= 58/198
= 0.2879 × 100
= 28.79
Hence the dividend stock yield ratio is 28.79
Use the distributive property to remove the parentheses.
4(x-7)
Please give a step by step answer if possible
Answers
Divide each term in
4
x
=
7
by
4
.
4
x
4
=
7
4
Cancel the common factor of
4
.
Tap for more steps...
x
=
7
4
The result can be shown in multiple forms.
Exact Form:
x
=
7
4
Decimal Form:
x
=
1.75
Mixed Number Form:
x
=
1
3
4
Name the type of angle pain:
-Linear Pair
-Vertical Angles
-Complementary Angles
-Corresponding Angles
Answers
n + 7 < -3
solve and show work please
Answers
Answer:
n < -10
Step-by-step explanation:
In order to get the variable n by itself subtract 7 from both sides across the inequality
n + 7 < -3
-7 -7
n < -10
Write the equation of the line that passes through the points (4,6) and (4,-4). Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answers
NEED HELP ASAP PLSSS WILL MARK BRAILIST!!
You want to save $120,000 to buy your first self-driving magic carpet. You deposit $80,000 in a bank at a simple interest rate of 5%. How many years do you have to wait before you can buy your magic carpet? (*Hint: I=prt)
Answers
Answer:
10
Step-by-step explanation:
10% of 80000 is 8000
thus 5% is 4000
Select all numbers that have an absolute value of 12
Answers
Answer:
2 4 6 8 10
Step-by-step explanation:
i think 2sssssssss
Answer:
|12|
|-12|
im pretty sure thats it
what is -4 (-6x + 3) = 12
Answers
Answer: x = 1
Step-by-step explanation:
Simplifying
-4(-6x + 3) = 12
Reorder the terms:
-4(3 + -6x) = 12
(3 * -4 + -6x * -4) = 12
(-12 + 24x) = 12
Solving
-12 + 24x = 12
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '12' to each side of the equation.
-12 + 12 + 24x = 12 + 12
Combine like terms: -12 + 12 = 0
0 + 24x = 12 + 12
24x = 12 + 12
Combine like terms: 12 + 12 = 24
24x = 24
Divide each side by '24'.
x = 1
Simplifying
x = 1
Answer:
Step-by-step explanation: heyy... the pic attached below shows all the steps with a brief explanation. I hope it helps u !!!
3/8 divided by 2/3.
Answers
Answer:
Fraction: 9/16
Decimal: 0.563
what percent of 120 is 66?
Answers
Answer:
55%
Step-by-step explanation:
66
120
x 100% = 55%
Answer:
66 is 55% of 120
Step-by-step explanation:
66 = 120 * x%
percent just means out of 100
for example, 20% is equal to 20/100
so, x% is x/100
66 = 120 * x/100
66/[tex]\frac{x}{100}[/tex] = 120
66 * 100/x = 120
6600/x = 120
cross multiply
6600/x = 120/1
6600 * 1 = x * 120
6600/120 = x
x = 55
For brainliest and points
Answers
Answer:
It's too small to read
Step-by-step explanation:
Answer:
16. A
Step-by-step explanation:
How do you solve quadratic equations?
Answers
Answer:
Completing the square
Put the equation into the form ax 2 + bx = – c.
Make sure that a = 1 (if a ≠ 1, multiply through the equation by. before proceeding).
Using the value of b from this new equation, add. ...
Find the square root of both sides of the equation.
Solve the resulting equation.
Step-by-step explanation:
there
Answer: Put the equation into the form ax 2 + bx = – c.
Make sure that a = 1 (if a ≠ 1, multiply through the equation by. before proceeding).
Using the value of b from this new equation, add.
Find the square root of both sides of the equation.
Solve the resulting equation.
Step-by-step explanation: Hope this helps!
What is the slope of the line?
Answers
Answer:
- 7/4
Step-by-step explanation:
1) (y2 - y1)/(x2 - x1)
2) pick two points, mine were (1,-3) and (-3,4)
3) Substitute the values (4+3)/(-3-1)
4) Solve and no matter what points you’ll get -7/4
What is the slope of a ski run that rises 5 feet for every horizontal change of 20 feet? Pls show work
Answers
Answer: -1/4
Step-by-step explanation: The slope is rise over run. The ski run drops 5, so it would be -5, and the horizontal change of 20 would be the run, so you'd get -5 over 20 then you divide both by 5 and you get your answer of -1 over 4.
-1/4 is the slope of a ski run that rises 5 feet for every horizontal change of 20 feet
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Given the slope of a ski run that rises 5 feet for every horizontal change of 20 feet
So the two points are (0,5) and (20,0)
m=0-5/20-0
m=-5/20
m=-1/4
Hence -1/4 is the slope of a ski run that rises 5 feet for every horizontal change of 20 feet
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Find the circumference of the circle.
Write the answers in terms of pi as well as using 3.14 as pi.
C = da
Circumference in terms of pi?
5 in
Circumference using 3.14 as pi?
Students, draw anywhere on this slide!
Answers
Answer:
The circumference of the circle in term of pi = 10π inchesThe circumference of the circle us 3.14 as pi = 31.4 inchesStep-by-step explanation:
Given
The radius of the circle = r = 5 in
We know that diameter is twice the radius.
so d = 2r = 2(5) = 10 in
Finding the circumference of the circle in terms of pi
Using the formula to find the circumference of the circle
C = dπ
C = 10×π
C = 10π inches
Thus, the circumference of the circle in term of pi = 10π inches
Finding the circumference of the circle using π = 3.14
We know that the formula to find the circumference of the circle
C = dπ
Given
π = 3.14
substituting π = 3.14 to find the circumference of the circle
C = 10×3.14
C = 31.4 inches
Thus, the circumference of the circle = 31.4 inches
Can someone really help me please
Answers
Answer: 22
Step-by-step explanation:
Harry needs $1564 each month for bills and rent and $183 each week for weekly expenses. How much does he need to net yearly?
Answers
What is the percent of change from 5,000 to 9,000?
Answers
Answer:
40%
Step-by-step explanation:
10000 = 5000 = 50% + 9000 = 40%
Question 5
Trent has 12 cups of ice cream for his daughter's birthday party
If each serving is
3/4
of a cup, how many children can eat ice cream?
А
1
B
9
С
12
D
16
Answers
Answer:
B. 9
Step-by-step explanation:
12 times 3/4 is 9
Answer:
it takes 4 of the 3/4 servings to make a whole number and it's 3 cups.
12/3= 4 and 4*4= 16
so 16 children can eat ice cream
or you could do 12/0.75= 16
you would do that because 3/4=0.75
you would divide and not multiply because you're seeing how many times 0.75 can go into 12
Step-by-step explanation:
eighty less than three times a number?
Answers
Answer:
30 x 3 - 80 is 10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
Eight less than three times a number is 10.
How does the graph of f(x) = |x| compare with the graph of g(x) = −2|x|? Select all that apply.
A. The graph of g is a vertical compression of the graph of f.
B. The graph of g is a vertical stretch of the graph of f.
C. The graph of g is a reflection over the x-axis of the graph of f.
Answers
Answer:A
Step-by-step explanation:
Using translation concepts, it is found that the corrects options are:
B. The graph of g is a vertical stretch of the graph of f.
C. The graph of g is a reflection over the x-axis of the graph of f.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.In this problem, the functions are:
[tex]f(x) = |x|[/tex]
[tex]g(x) = -2|x|[/tex]
g is the function of f multiplicated by -2, hence:
It is a vertical stretch, as it is multiplied by a value with absolute value greater than 1.It is multiplicated by a negative value, hence it is reflected over the x-axis.Hence, options b and c are correct.You can learn more about translation concepts at https://brainly.com/question/13671886
Solve the system.
2x + 3y – z = -1
6. x - 2y + 4z = 18
(5x + 6y – 2z = -6
Answers
Answer:
x=-4
y=7
z=14
Step-by-step explanation:
Y=-7
Z=14 this is the answer to your question
Consider the equation x-5) =(y-2)2. What is the equation of the directri?
Hurry 20 points
Answers
(0,0)
M is the midpoint of CD. If the midpoint M
is (-3, 5) and C is (2,3), then what are the
coordinates of D?
O
(-1/2,4)
(-8,7)
o
(-4,1)
Answers
Answer:
The answer is (3-,5) watch is C cause if you do that but in math form it's the same
Which of the following conditions is necessary to prove that a quadrilateral is a parallelogram?
A. the diagonals bisect each other
B. The diagonals are congruent
C. The diagonals are perpendicular
D. The diagonals intersect on the perpendicular bisector of the two sides?
Answers
Jenna made money babysitting, and she also earned $20 cleaning her neighbor's basement. During the week, her total earnings were $55. If she charges $5 per hour for babysitting, how many hours did she babysit?
Answers
Answer:
Jenna spent 7 hours babysitting.
Step-by-step explanation:
With the information provided, you can say that Jenna's total earnings are equal to the amount she earned cleaning her neighbor's basement plus the result of multiplying the charge per hour for babysitting for the number f hours, which is:
e=20+5x, where:
e represents the total earnings
x is the number of hours
Now, you can replace e with 55 that is the toal amount she earned and solve for x:
55=20+5x
55-20=5x
35=5x
x=35/5
x=7
According to this, the answer is that Jenna spent 7 hours babysitting.