Answer:
f(g(x)) = 3x + 25
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Function NotationFunction CompositionStep-by-step explanation:
Step 1: Define
f(x) = 3x - 5
g(x) = x + 10
Step 2: Find f(g(x))
Substitute: f(g(x)) = 3(x + 10) - 5Distribute 3: f(g(x)) = 3x + 30 - 5Subtract: f(g(x)) = 3x + 25Shannon bought 518 pounds of apples. Bill bought 278pounds of apples. Which most closely estimates how many more pounds of apples Shannon bought than Bill?
Answer:
240 pounds.
Step-by-step explanation:
Given that,
Shannon bought 518 pounds of apples.
Bill bought 278 pounds of apples.
We need to find how many more pounds of apples Shannon bought than Bill.
More Apples = Shannon Apples - Bill Apples
= 518 - 278
= 240
Hence, 240 pounds of apples Shannon bought than Bill.
Solve the system of linear equations by elimination. 10x-9y=46 and -2x+3y=10
Answer:
y=16 and x=19
Step-by-step explanation:
Let's solve your system by elimination.
−2x+3y=10;10x−9y=46
Multiply the first equation by 5,and multiply the second equation by 1.
5(−2x+3y=10)
1(10x−9y=46)
Becomes:
−10x+15y=50
10x−9y=46
Add these equations to eliminate x:
6y=96
Then solve6y=96for y:
6y=96
6y
6
=
96
6
(Divide both sides by 6)
y=16
Write down an original equation:
−2x+3y=10
Substitute16foryin−2x+3y=10:
−2x+(3)(16)=10
−2x+48=10(Simplify both sides of the equation)
−2x+48+−48=10+−48(Add -48 to both sides)
−2x=−38
−2x
−2
=
−38
−2
(Divide both sides by -2)
x=19
Answer:
x=19 and y=16
The value of x and y on solving a system of linear equations 10x - 9y = 46 and -2x + 3y = 10 by elimination are 19 and 16 respectively.
What is equation?A formula known as an equation uses the equals sign to denote the equality of two expressions.
Given equations:
10x - 9y = 46 (1)
-2x + 3y = 10 (2)
Multiply equation 2 by 3
3 (-2x + 3y) = 10 × 3
-6x + 9y = 30 (3)
Add equation 3 and equation 1
10x - 9y + (-6x) + 9y = 46 + 30
4x = 76
x = 76 / 4 = 19
Put x = 19 in equation 2
-2 × 19 + 3y = 10
3y = 10 + 38
y = 48 / 3
y = 16
Therefore, the value of x and y on solving a system of linear equations 10x - 9y = 46 and -2x + 3y = 10 by elimination are 19 and 16 respectively.
To know more about equation:
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Answer:
-1
Step-by-step explanation:
Not gonna explain or show work, because u didnt say
The answer is 1/9 in standard form, hope this helps:)
Write the equation of a line that is parallel to y=x-4 and passes through the point (2,3)
Answer:
y = x - 1
Step-by-step explanation:
The given line is y = x - 4. Any line parallel to this one has an equation of the same form, though the constant will be different.
Substitute the coordinates of the given point (2, 3) into y = x - 4 and determine the value of b, which is the y-intercept:
3 = 2 - C
Then C = -1, and the desired equation is y = x - 1.
Non linear??????????
Answer:
Yes. That is correct
Step-by-step explanation:
Can someone help w this
Zeke spent 12 minutes on the phone while routing 4 phone calls. In all, how many phone
calls does Zeke have to route to spend a total of 15 minutes on the phone? Assume the
relationship is directly proportional.
$18 for 3 bracelets; $30 for 5 bracelets
Answer: oooo those seem like a good deal
Step-by-step explanation:
if I buy 52 packs of cookies and 16 cookies are in each pack how many cookies do I have all together .
Answer:
68 cookies
Step-by-step explanation:
Cherie accepted a job through an employment agency. The job pays $1,100 a week. The agency charges 30% of her first 4 weeks pay. Find the amount she owes the agency
Cherie owes the employment agency amount of $1,320.
What is the Multiplication operation?In mathematics, Multiplication operations perform Multiplying values on either side of the operator.
For example 4×2 = 8
To determine the amount Cherie owes the agency, we need to calculate 30% of her first 4 weeks of pay.
Since she earns $1,100 a week, the total pay for 4 weeks is $1,100 × 4 = $4,400.
Now that we have the total pay for 4 weeks, we can calculate 30% of that amount by multiplying $4,400 by 0.30.
So, 30% of her first 4 weeks' pay is $4,400 × 0.30 = $1,320.
Therefore, she owes the employment agency $1,320.
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Is 1 a solution for the linear equation 8x - 19 = -4 - 7x?
Answer:
Yes. 1
Step-by-step explanation:
To solve the equation 8x - 19 = -4 - 7x, you must:
Rearrange the terms: 8x − 19 = −4 − 7x TO 8x − 19= − 7x −4Add 19 to both sides: 8x - 19 = - 7x = 4 TO 8x - 19 + 19 = - 7x -4 + 19Simplify by adding the numbers: 8x = - 7x + 15Add 7x to both sides: 8x + 7x = - 7x + 15 + 7xSimplify by combining like terms: 15x = 15Divide by like terms: 15x / 15 = 15 / 15 = 1x = 1Simplify: x = 1Clint completly filled his 18 gallon tank of gas with regular fuel for 55.08. As he left the gas station he noticed the station arcross the street sold regular fuel for 2. 99 Per gallon how much money could have clint saved per gallon is he had gone to the station across the street
Answer: 1.26
Step-by-step explanation:
Since he bought a 18 gallon tank of gas with regular fuel for 55.08.
The station across the street sold regular fuel for 2.99 per gallon. A 18 gallon tank will cost:
= 18 × 2.99
= 53.82
The amount that could have been saved would be:
= 55.08 - 53.82
= 1.26
HELP HELP LOOK BELOW
Answer:
y= 1/4x - 1
Step-by-step explanation:
it passes through the points (-4,-2) and it is parallel to the line 1/4x+3
Order from least to greatest 7.003, 7.00301, 7.00294, 7.00289 →
Answer:
7.003 7.00289 7.00294 and 7.00301 I think this is correct good luck so sorry if it is not
Step-by-step explanation:
100 points! I will mark brainliest! Only answers if you know it. Random answers WILL be reported
Answer:
2sqrt5
Step-by-step explanation:
We know that the shortest distance would be with drawing a perpendicular line through BC and A.
BC is y = -2x+1
Therefore a perpendicular line should have slope 1/2
y = 1/2x + b
-3 = 1/2*-3 + b
b = -3/2
y = -2x+1
y = 1/2x - 3/2
-2x+1 = 1/2x - 3/2
-4x+2 = x - 3
5 = 5x
x = 1
y = 1
now of course the graph shows that already, but we're just proving that again
The x-difference is 4, the y difference is 2, so 16+4 = 18, sqrt20 = 2sqrt5
Answer:
Solution given:
AB=
[tex]AB = \sqrt{( - 3 +1 {)}^{2} + ( - 3 - 3 {)}^{2} } = 6.32units[/tex]
[tex]AC= \sqrt{( - 3 - 1) ^{2} + ( - 3 + 1) {}^{2} } = 4.5[/tex]units
[tex]AD= \sqrt{( - 3 - 0) {}^{2} + ( - 3 - 1) {}^{2} } = 5units[/tex]
so shortest distance=AC=4.5units
i really need help i’m going to fail so answer if you can ! <3
The commission of a sales representative can be modeled by C(x) = 4x -
10, where x is the number of items sold. If the sales representative sales 30
items, how much commission will they earn? *
options:
$20
$5
$120
$110
Answer:
110
Step-by-step explanation:
you place 30 in the place of X, and it becomes 4×30-10. in PEMDAS, multiplication goes first and 4×30=120. 120-10=110
Yun is curious what proportion of users will click an advertisement that appears on his website. He takes a
random sample of 200 users and finds that 34 of them clicked the advertisement. He's willing to assume
independence between users in the sample.
Based on this sample, which of the following is a 99% confidence interval for the proportion of users that click
the ad?
Answer:
Step-by-step explanation:
A triangle has sides with lengths of 5 yards, 12 yards, and 15 yards. Is it a right triangle? PLEASE HELP!
Answer:
The triangle is right angled
Step-by-step explanation:
Explanation:
As the largest side is
15 yards and smaller sides are 9 yards and 12 yards
from Pythagoras theorem, if the triangle is right angled square of largest side should be equal to sum of the squares of smaller two sides.
Answer:
no its not
Step-by-step explanation:
i did the same question
Which part of this graph shows a nonlinear relationship?
Answer:
2
Step-by-step explanation:
Answer:
2, D
Step-by-step explanation:
Not only is it not in a line it doesn't hit any points(it curves)
x^2- y = 4
2x + y = -1
use graphing to find the solutions to the system of equations
Answer:
SOLUTION: x + y =5 2x - y =4 -2x +-2y = -10 2x-y =4 2x - y = 4 2x -2 =4 3y -6 __ ___ 3 = 3 y = -2 __ then lost - is this right so far a
My guys do you thing pls help I will give brainliest
Answer:
22
Step-by-step explanation:
Pls help due ASAP ....
I'll give you brainlist if u help :)A certain culture of yeast increases by 50% every three hours. A scientist places 9 grams of the yeast on a culture dish. write the explicit and recursive formulas for the geometric sequences formed by the growth of the yeast.
Answer:
pleasee reply me ...
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Answer:
plz mark me as a brainelist
hope it helps you
2 equivalent ratios to 9/12. HELP PLEASE !!!
Answer: 3/4 and 27/36
Step-by-step explanation:
i'm assuming this question just means two other fractions that equal 9/12. so, i found a common factor of both of the numbers, and i used 3. so, i just divided both by 3 to get the first fraction and then multiplied both by 3 to get the second fraction.
Help I need help!!!! Please
Find the measure of each numbered angle in the rhombus. 1 5 2/3 4
Answer:
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Mark was thinking of a number. Mark doubles it, then adds 11 to get an answer of 52.6. What was the original number?
Answer:
20.8
Step-by-step explanation:
The first step you need to do is to subtract 11:
52.6 - 11 = 41.6
The second step is to divide it by 2:
41.6 / 2 = 20.8
Mark was thinking of 20.8
Answer:
the original number is 20.8
Step-by-step explanation:
because 2x + 11 = 52.6
2x = 41.6 -->x = 20.8
Solve the equation below for y.
12(y−8) = 14y−2
Answer:
y=-47
Step-by-step explanation:
12(y-8)=14y-2
12y-96=14y-2
-96=14y-2-12y
-96=2y-2
-96+2=2y
-94=2y
-94/2=y
-47=y
y=-47
Answer:
-47
Step-by-step explanation:
identify the sequence
A. 12, 144, 1728
b. 0, 5, 10, 15, 20
c. 14, 11, 8, 5
d. 625, 125, 25, 5
Answer:
Step-by-step explanation:
A) multiplied by 12
B) Add 5
C) Minus 3
D) Divide by 5
The length of a planet's orbit around a star is approximately 24,130,000 km.
It takes the planet about 1440 Earth days to complete a full orbit.
What is the planet's average speed in kmh-1 to 3sf?
hii I am enter in wrong serve ....
Answer:
have u goa answer
Step-by-step explanation:
What is x in the equation 5^{3-2x} = 5^{-x}
A) x = 3
B) x = 1
C) x = -1
D) x = -3
Answer:
The answer is A) x equals 3