This equation can be written as :-
= 6 + 4x = x + 15
= 4x+6=x+15
= 4x + 6 − x = x + 15 − x
= 3x + 6 = 15
= 3x + 6 − 6 = 15 − 6
= 3x = 9
= 3 x 3 = 9
= x = 9 ÷ 3
= x = 3
Using this , let us solve the equation :-
= 6 + 4 × 3 = 3 + 15
= 6 + 12 = 3 + 15
= 18 = 18
Therefore , 6 + 4x = x + 15 = 18 ( x = 3 ) .
If f(x) = x3 – 1 and g(x) = 2x - 1, which choice is equivalent to g(f(x))?
A)
x3 - 3
B)
2x3 - 3
)
2x3 - 2
D)
223 - 1
The equivalent function of g(f(x)) for the given function is 2x³ - 3.
Function composition is an operation × that takes two functions f and g, and produces a function h = g ∘ f such that h(x) = g(f(x)). In this operation, the function g is applied to the result of applying the function f to x.
We have been given that
f(x) = x3 – 1
g(x) = 2x - 1
and find out g(f(x)) =?
The notation for function composition is h = f • g or h(x) = (f • g)(x) and is read as 'f of g of x'. The procedure is called composition because the new function is composed of the two given functions f and g, where one function is substituted into the other.
g(f(x)) = 2(f(x))- 1
Put the value of f(x) in the equation
g(f(x)) = 2( x³ - 1) -1
g(f(x)) = 2 x³ - 2 -1
g(f(x)) = 2 x³ - 3
Hence , For the given function, 2x3 - 3 serves as the corresponding function of g(f(x)).
To learn more about Composition function
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50+ POINTS I NEED HELP
Answer:
21 Yards
Step-by-step explanation:
Hope This Helps
Stay Safe And Happy Holidays
Is 0.88 a terminating decimal
Answer:
no
Step-by-step explanation:
its a equation not a decimal making it false.
A car and a motorcycle, starting 35 miles apart, travel directly away from each other. The car averages 60 miles per hour and the motorcycle averages m miles per hour. The distance (d) between them after h hours can be determined using the equation below. Which equation could be used to find the distance between the car and the motorcycle after 2.5 hours?
Answer:
d = 60h + 35
Step-by-step explanation:
60 = Slope
35 = Y-intercept
You would just input whatever amount of time you need to the variable h in order to find the value of d.
h e l p
Quinn has a large family. She has 4 cousins who live in Texas, 3 cousins who live in Nebraska, and 9 cousins who live in Michigan.
What is the ratio of Quinn's cousins who live in Texas to her cousins who live in Michigan?
Answer:
4:9 is the ratio
Step-by-step explanation:
4 in Texas and 9 in Michigan
Can you solve Please ASAP!
Answer:
x = 7/12
Step-by-step explanation:
Write the expression in exponential form with the base of 2
[tex]2x^{3x-3}[/tex] = [tex]32^{3x-2}[/tex]
[tex]2^{3x-3}[/tex] = [tex]2^{15x-10}[/tex]
Since the bases are the same, set the exponents equal
x - 3 = 15 - 10
Move variable to the left-hand side and change its sign
3x - 15x - 3 = -10
Move constant the the right-hand side and change its sign
3x - 15x = -10 + 3
Collect like terms
-12x = -10 + 3
Calculate the sum
-12x = -7
Divide both sides o the equation by -12
x = 7/12
Solution
7/12
Alternate form
x = 0.583
What does the graph look like for y=2x-3
Answer:
It will have a y-intercept of -3 and a rise of 2 and a run of 1.
Step-by-step explanation:
We can use a graphing calculator to help us graph for y = 2x - 3.
Attached below is the graph.
Anita is filling a small pool for her kids. Currently, there are 60 gallons of water in the pool and she is filling the pool at a rate of 50 gallons every 5 minutes. The pool holds 200 gallons of water.
Which equation represents the amount of minutes (m) that it will take to fill the pool?
-10m + 200 = 60
50m +200 = 60
-10m + 140 = 60
-50m +140=60
Answer:
M/140 = 50/60
Step-by-step explanation:
Since the total is 200 it will be the denominator but we already have 60 gallons so we do 200-60=140
the ratio is 50 per 60
Mr. Logan runs 3.7 miles each day. If he runs the same distance each day, about how many miles will Mr. Logan run in 7 days?
14= 17 - 9x. help please
Step-by-step explanation:
9x= 17 - 14
9x= 3
x= 3÷9
x= 1/3
how do i find the area of a triangle
Answer:
The area of each triangle is one-half the area of the rectangle. So, the area A of a triangle is given by the formula A=1/2bh where b is the base and h is the height of the triangle.
Step-by-step explanation:
Completa el enunciado siguiente. Luego usa una recta numérica para hallar la suma 4 + (-7).
4+ (-7) es
unidades desde 4, en la dirección
4+(-7) es
unidades desde 4, en la dirección
Michael joined a gym that had a membership fee of $50. Then he had to pay $20 a month. How many months was he a member if Michael spent a total of $310?
abracadabra Abracadabra Abracadabra abracadabra don't don't.
What is the siope of the line represented by the equation y= 4/5x - 3?
Answer:
4/5
Step-by-step explanation:
Slope is "m" in the formula y=mx+b
in your equation y=4/5x-3, 4/5 is in the "m" spot, so your answer is 4/5
I just want to know the word please.
LAST ONE NEED HELP ASAP !!!
Answer:
2.5
Step-by-step explanation:
Divided them
Look at the image above please! Could someone please do this for me. I have no idea what to do. Please its due today
Answer:
W perimeter = 40
Step-by-step explanation:
All the sides of the squares equal the same amount.
If the perimeter of R is 28 divide 28 by 4 to give you 7.
And to get the area of a square you do length x width
So T would be 3 x 3 = 9
And it you add up 7 + 3 the sides on R and T = 10
So the left side on square W = 10
To get the perimeter multiply 10*4 = 40
I'm 90% sure, but hope this helps!!!
Solve for y 2x+5y=10
Answer:
y=2/5x−2
Step-by-step explanation:
A plane takes off and climbs steadily for 15 minutes until it
reaches 30,000 feet. It travels at that altitude for 2 hours until
it begins to descend to land, which it takes 15 minutes at a
constant rate.
Step-by-step explanation:
Mark each mark by 15 mins add an extra tick at the time section
the corner before the first 15 min mark make a tilted line to 15 mins and 30,000 feet draw a straight line till 2 hours and 15 mins draw titled down to 2 hours and 30 mins
URGENT PLEASE HELP ASAP
Answer:
What do you need help with
Step-by-step explanation:
"half the sum of 10 and a number"?
A. 1/2x + 10
B. 1/2(10)+ x
C. 1/2+10+x
D. 1/2(10+x)
Answer:
D
Step-by-step explanation:
Answer:
1/2(x+10)
Step-by-step explanation:
First find the sum
(x+10)
Then take 1/2 of it
1/2(x+10)
400.34 + 678.397
210
Answer:
1078.73721
Step-by-step explanation:
I need this solved ASAP please
ratio 4:12 simplified.
Answer:
1/3
Step-by-step explanation:
4/12
2 goes in to 4 and 12, so 4 divide by 2 is 2 and 12 divide by 2 is 6 then you have to simplify it again since 2 can still go into 2 and 6 so 2 divide by 2 is 1 and 6 divide by 2 is 3.
36÷2/3
pls help i no understand
Mr. Chavez spent $199.99 for a new smart phone, $39.99 on a carrying case, and $59.99 on accessories. The expression |-199.99| + |-39.99| + |-59.99| represents the total amount that Mr. Chavez spent. How much did Mr. Chavez spend altogether? Check your answer using estimation.
Answer:
$299.97
Step-by-step explanation:
Given that :
Total Amount spent :
New smart phone = $199.99
Carrying case = $39.99
Accessories = $59.99
Total amount spent is represented by the expression :
The expression |-199.99| + |-39.99| + |-59.99|
Since it is denoted using absolute value :
$(199.99 + 39.99 + 59.99) = $299.97
|-299.97|
Please help me I’m struggling
Answer:
$.80 or $0.80
Step-by-step explanation:
$4 = 5 apples so u divided that 4 divided 5 gives you .80
so answer is 80 cents
Answer:
$0.8 or $ .8
Step-by-step explanation:
Hopefully this helps you!
PLEASE BRAINLIEST IS AMONG US
Answer:
4/3
Step-by-step explanation:
Answer:
Amoung sUs
Step-by-step explanation:
y = x + z
Solve the following equation
Answer:
for y, y = x + z
for x, x = y - z
for z, z = y - x
Plz mark brainliest:)
Answer:
[tex]x=y-z[/tex]
[tex]y = x + z[/tex]
[tex]z=y-x[/tex]
Step-by-step explanation:
[tex]y+(-z)=(x+z)+(-z)[/tex]
same as ^equation for all three ways
To solve this linear equation, we need to group all the variable terms on one side, and all the constant terms on the other side of the equation.
In our example,term [tex]x[/tex] will be moved to the left side. Notice that a term changes sign when it 'moves' from one side of the equation to the other.
To solve this linear equation, we need to group all the variable terms on one side, and all the constant terms on the other side of the equation.
In our example,term [tex]z[/tex] will be moved to the left side. Notice that a term changes sign when it 'moves' from one side of the equation to the other.
Lines will not always be written initially in y=mx+b form. Sometimes you will need to do some simple
manipulation (typically one or two steps) to rearrange into this form.
Exercise #3: For each of the following equations, rearrange them into y = mx +b form and identify the slope
and y-intercept of the line.
(a) y +2x = 7
(b) 2x+3y = 12
(c) 4x -6y = 7
Answer:
a. y = -2x + 7
b. y = -⅔x + 4
c. y = ⅔x - 7/6
Plz mark brainliest:)
the town of sharon hill is a perfect squre with an area of 9 squares miles the length of each side of town measure how long ?
Answer:
2.25
Step-by-step explanation:
Since its a perfect square and you know the area, all you have to do it divide 9 by 4