Answer:
10700 to the 7 power ould be your answer
Step-by-step explanation:
10700
Topic : Composition of Functions - Worksheet 2 Using f(x) = 5x + 4 and g(x) = x - 3,find: 1. f(g(6)) 2. g(f(-7)) 3. f(f(8)) 4. g(f(x))
Answer:
[tex]f(g(6))=19[/tex][tex]g(f(-7))=-34[/tex][tex]f(f(8))=224[/tex][tex]g(f(x))=5x+1[/tex]Step-by-step explanation:
Considering the functions
[tex]f(x) = 5x + 4[/tex]
[tex]g(x) = x - 3[/tex]
Part 1)
Find
[tex]f(g(6))[/tex]We need to first dertermine [tex]g(6)[/tex]
[tex]g(x) = x - 3[/tex]
Putting x = 6
[tex]g(6) = 6-3=3[/tex]
Then
[tex]f(g(6))=f(3)=5(3)+4=15+4=19[/tex]
Hence,
[tex]f(g(6))=19[/tex]
Part 2)
Find
[tex]g(f(-7))[/tex]We need to first dertermine [tex]f(-7)[/tex]
[tex]f(x) = 5x + 4[/tex]
Putting x = -7
[tex]f(-7) = 5(-7)+4=-35+4=-31[/tex]
Then
[tex]g(f(-7))=g(-31)=(-31-3)=-34[/tex]
Hence,
[tex]g(f(-7))=-34[/tex]
Part 3)
Find
[tex]f(f(8))[/tex]We need to first dertermine [tex]f(8)[/tex]
Putting x = 8
[tex]f(8) = 5(8)+4=40+4=44[/tex]
Then
[tex]f(f(8))=f(44)=5(44)+4=220+4=224[/tex]
Hence,
[tex]f(f(8))=224[/tex]
Part 4)
Find
[tex]g(f(x))[/tex][tex]f(x) = 5x + 4[/tex]
[tex]g(f(x))=g(5x+4)[/tex]
[tex]=(5x+4)-3=5x+1[/tex]
Hence,
[tex]g(f(x))=5x+1[/tex]
Hello, please help with this multiple choice question, thanks.
Answer:
A: SAS
B: SSS
C: AAS
D: ASA
write 9.68 in expanded form
Answer:
9+0.6+0.08
Step-by-step explanation:
The given decimal number in expanded form is 9+0.6+0.08.
The given decimal number is 9.68.
What is expanded from of a decimal number?Unlike whole numbers, decimal numbers can also be written in the expanded form. For writing the decimals in expanded form, we multiply each of the decimal digits with increasing exponent values of (1/10).
Now, the expanded form of 9.68 is
9×1 + 6×1/10 + 8×1/100
= 9+0.6+0.08
= 9.68
Therefore, the given decimal number in expanded form is 9+0.6+0.08.
To learn more about the expanded form of a decimal numbers visit:
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find the function inverse g(x) = 4 − 32x
Answer:
The inverse operation is multiplication
Step-by-step explanation:
PLEASEE ANSWERR IT IN MIDDLE OF TEST
Answer:
i can not see it to much do you know if you can make it bigger for me
Step-by-step explanation:
Divide. Round your answer to the nearest whole number.
2,592.1856 divided by .108=?
Answer:
24002
Step-by-step explanation:
2,592.1856 divided by 0.108
= 24001.7185185
= 24002 (rounded to the nearest whole number)
Hope this helped!
someone help me plz. i would app it.
A rectangular lawn 4m by 10m has a garden of uniform width added to one end. Then, along the combined side length of the lawn and garden , another garden is added, whose width is twice that of garden . The total area of the lawn and both gardens is 72 m2
Answer and explanation:
A rectangle's width is longer than the length
And so given a rectangular lawn 4m by 10m,
the width of the lawn= 10m
the length of the lawn= 4m
If a garden of uniform width is added, then garden's width = 10m
The garden of uniform width is added to the width side of the rectangular lawn( since along the combined side length of the lawn and garden, another garden is added)
The garden added to the combined side length of the lawn and garden has width twice that of the garden = 2*10= 20m
Given that total area of the lawn and two gardens = 72m²
Total area of lawn and 2 gardens(Area of rectangle(lawn+2 garden's)) is length * width
= 4*10+ 10*x+ 20*y=72
Therefore equation for total area of lawn and both gardens is 40+10x+20y=72
Where x is length of second garden attached to the width side of the lawn and y is length of the garden attached to the combined length side of the lawn and first garden
x can be solved
40+10x+20y=72
10x+20y=72-40
10x+20y=32
10x=32-20y
x=32-20y/10
Y can be solved
40+10x+20y=72
10x+20y=72-40
10x+20y=32
20y=32-10x
y=32-10x/20
Students were asked whether they wanted chicken or pasta served at their
awards banquet. There were 10 students who chose chicken and 12
students who chose pasta. What is the ratio of students who prefer
chicken to students who prefer pasta?
Answer:
10:12
Step-by-step explanation:
hope it helped!!
xxx me!
Answer:
5:6
Step-by-step explanation:
Chicken : Pasta
10 : 12 (Both divide by 2)
5 : 6 (Simplest form)
See screenshot below.
Answer:
-47/36
Step-by-step explanation:
=(-2/3)^2-3/4(7/3)
=4/9 - 21/12
=-47/36
Answer:
-47/36 or - 1 11/36
Step-by-step explanation:
(- 2/3)^2-3/4 (2 1/3)
4/9-7/4 find common denominator
16/36 - 63/36
- 47/36
Given the function y=(0.84)t, determine whether the function represents growth or decay and identify the rate of change
Answer:
This function is a decay function and the rate of change is 0.16.
Step-by-step explanation:
We can tell this a decay function because the number in the parentheses is less than 1.
The "parent" function of a decay function is [tex]y = (1-b)^{x}[/tex], where x represents the t and b is the rate of change.
So that means 0.16 is b and 1 - 0.16 resulted in 0.84.
#teamtrees #WAP (Water And Plant)
PLS HELP 35 POINTS
A line passes through the points (-2,9) and (1,3).
What is the slope?
What is the y-intercept?
What is the slope-intercept form?
Answer:
Slope: -2
Y - Intercept: 5
Slope - Intercept Form: y=-2x+5
Step-by-step explanation:
Answer:
y=-2x+5, Slope:-2 , Intercept:5
Step-by-step explanation:
Mark brainliest
On a certain day, the temperature
changed at a rate of -3°F per
hour. How long did it take for the
change in temperature to be
-33°F?
A line passes through the points (0,3), (4,1) and (6,0). Which function best represents the relationship between the two points?
Answer:
y = - [tex]\frac{1}{2}[/tex] x + 3
Step-by-step explanation:
y = mx + b
m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] and "b" is y-intercept with coordinates (0, b)
(0, 3) ⇒ b = 3
(4, 1), (6, 0)
m = [tex]\frac{0-1}{6-4}[/tex] = - [tex]\frac{1}{2}[/tex]
y = - [tex]\frac{1}{2}[/tex] x + 3
find the ratio of the volume of the triangular prism
Answer:
Explanation:
ratio of volume
prism
:
cuboid
:
:
90
:
600
now cancel down
9
0
:
60
0
:
:
9
:
60
divide by 3
:
:
3
:
20
Max and Evie are comparing the number of ride tickets they have for an amusement park. They notice that Evie has 4 less than three times the number of tickets that Max has. If the number of tickets Max has is represented by n, then which of the following represents the COMBINED number of tickets Max and Evie have in terms of n?
Answer:
3n - 4?
Step-by-step explanation:
E = 3M - 4
M = n
= 3n - 4
I think
What is the answer to this
2(x-5)-6=-18
x=___
Answer:
x= -1
Step-by-step explanation:
Distribute:2(x -5) -6 = -18
2x -10 -6 =-18
Subtract the numbers:2x -10 -6 =-18
2x -16 = -18
Add 16 to both sides of the equation:2x =16 += -18
2x -16 +16 = -18 +16
Simplify:2x = -2
Divide both sides of the equation by the same term:2x/2 = -2/2
Simplify:x=-1
Answer:x = -1
Ross is shopping for mulch that costs $1.29 per cubic foot. During his first trip to the store, he bought 16.5 cubic feet. He needs another 4.5 cubic feet to complete his landscaping project. Which expression shows the total cost in dollars of the mulch?
A: 1.29⋅16.5⋅1.29⋅4.5
B: 1.29⋅16.5+4.5
C: 1.29(16.5+4.5)
D: 16.5(1.29+4.5)
Answer:
B
Step-by-step explanation:
Answer:
C. 1.29(16.5 + 4.5)
Step-by-step explanation:
In order to find the total cost he spent you would have to combine the amount of mulch he bought and then multiply the total amount of mulch by the amount it costs per foot. The only equation that represents this is C. The 16.5 and 4.5 cubic feet are combined to see how many cubic feet of mulch he bought, and then the value is multiple by 1.29, the cost of mulch per cubic foot.
I hope this helps :)
Sara is multiplying two factors, one is a whole number and one has two decimal places She says the product could have one decimal place is she correct? Give an example your reasoning
Answer: i don't understand
someone help. i’m bad at math.
Step-by-step explanation:
when perpendicular, u must use m1m2=-1
so , (⅓)(m2)=-1
m2= -3
y-y1=m2(x-x2)
y-1=-3(x-0)
y=-3x+1
Answer:
y = -3x + 1
Step-by-step explanation:
to be perpendicular the multiplication of the gradiens should be -1
m1 × m2 = -1 , m1 = 1/3
1/3 × m2 = -1
m2 = -3
and required equation passes through the point.( 0,1)
y = m2 x + c2
1 = -3 (0) + c2
c2 = 1
so the equation
y = -3x + 1
triangle sum theorem
WILL MARK BRAINLIEST
Step-by-step explanation:
13) 4x-22+x+11+10x-4 =180
15x=195
x=13
<P=(10(13)-4)=126
<Q=(4(13)-22)=30
<R=13+11=24
Can someone please complete this with work showed? I don't understand it and need to catch up on some work from when I was absent.
Answer:
yo that like a whole test lol i dont think people gonna do all that for free
Step-by-step explanation:
Using the Equation, predict how much the Temperature change will be in 20 years since 2000.
Answer:
0.82° C
Step-by-step explanation:
To predict how much change the temperature will be in 20 years time since 2000, simply substitute x = 20 into the given equation, [tex] y = 0.52 + 0.015x [/tex]:
[tex] y = 0.52 + 0.015(20) [/tex]
[tex] y = 0.52 + 0.3 [/tex]
[tex] y = 0.82 [/tex]
✅The temperature change would be 0.82° C.
What is the slope of a line containing (4,6) and (0,8)?
Answer:
[tex]m=\frac{-1}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (4, 6)
Point (0, 8)
Step 2: Find slope m
Substitute: [tex]m=\frac{8-6}{0-4}[/tex]Subtract: [tex]m=\frac{2}{-4}[/tex]Simplify: [tex]m=\frac{-1}{2}[/tex]Answer:
Slope is -1/2
Step-by-step explanation:
y2 - y1/x2 - x1
8 - 6/0 - 4
2/-4
-1/2
plz help!! will give brainliest serious answers only
Answer:
6/8
pls brain me
Step-by-step explanation:
Can anyone help me with this.
Answer:
5
Step-by-step explanation:
Input the given values of p and q into the expression and solve:
[tex]\frac{p+q}{3}[/tex]
[tex]\frac{9+6}{3}[/tex]
9 + 6 = 15
[tex]\frac{15}{3} = 5[/tex]
The value of the expression is 5.
What is the solution set for |x/2|=8?
Answer:
D) x=16 and x=-16
Step-by-step explanation:
D) x=16 and x=-16
If you replace x with either one of them and then take the absolute value, you would have 8.
What is the predecessor of 2,777
Answer:
2,776
Step-by-step explanation:
the name predecessor means before hence the number just before 2777.
What is the domain of this relation?
(20, 16)
(3,7)
(20, -6)
Step-by-step explanation:
{20,3}
because it is the objects of function
A child tosses a baseball up into the air. On its way down, it gets caught in a tree for several seconds
before falling back down to the ground.
14
12
10
8
height (feet)
6
4
2
2
3 4 5 6 7 8 9 10
time (seconds)
Select the best description of the range of this function.
The range includes all numbers from 5 to 12.5.
The range includes all integers between 0 and 12.5.
The range includes all numbers from 0 to 8.5.
The range includes all numbers from 0 to 12.5.
Answer:
The range includes all numbers from 5 to 12.5.
Step-by-step explanation:
The range is along y- axis and the domain is along x- axis.
Range is given in heights and domain is given in time seconds.
It can depicted that for t= 0 secs the ball is at 5 feet and so on .
Therefore the range is given by numbers from 5 to 12.5.
Whereas the domain is given by numbers 0 t0 8.5 seconds
The range is the values of 'y' and the domain is the values of 'x'. So, the range of the includes all numbers between 5 and 12.5 and the domain includes all numbers between 0 and 8.5.
Given :
A child tosses a baseball up into the air. On its way down, it gets caught in a tree for several seconds before falling back down to the ground.
The graph attached below shows the given scenario that "A child tosses a baseball up into the air. On its way down, it gets caught in a tree for several seconds before falling back down to the ground".
The y-axis shows the height of the ball in feet from the ground and the x-axis shows the time in seconds.
The range is the values of 'y' and the domain is the values of 'x'. So, the range of the includes all numbers between 5 and 12.5 and the domain includes all numbers between 0 and 8.5.
Therefore, the correct option is A) The range includes all numbers from 5 to 12.5.
For more information, refer to the link given below:
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