Answers
1)
[tex]f(x) = 2x - 5\\f(4) = 2(4) - 5 = 8 - 5 = 3[/tex]
2)
[tex]f(x) = 2x - 5\\f(-6) = 2(-6) - 5 = -12 - 5 = -17[/tex]
3)
[tex]g(x) = x + 3\\g(8) = 8 + 3 = 11[/tex]
4)
[tex]h(x) = 4x\\h(5) = 4 \cdot 5 = 20[/tex]
5)
[tex]k(x) = x^2 + 2x - 5\\k(6) = 6^2 + 2 \cdot 6 - 5 = 36 + 12 - 5 = 43[/tex]
6)
[tex]k(x) = x^2 + 2x - 5\\k(-3) = (-3)^2 + 2(-3) - 5 = 9 - 6 - 5 = -2[/tex]
7)
[tex]g(x) = x + 3\\g(3x) = 3x + 3 = 3(x + 1)[/tex]
8)
[tex]f(x) = 2x - 5\\f(4x) = 2(4x) - 5 = 8x - 5[/tex]
9)
[tex]h(x) = 4x\\h(5t) = 4(5t) = 20t[/tex]
10)
[tex]k(x) = x^2 + 2x - 5\\k(4t) = (4t)^2 + 2(4t) - 5 = 16t^2 + 8t - 5[/tex]
11)
[tex]f(x) = 2x - 5\\f(x + 3) = 2(x + 3) - 5 = 2x + 6 - 5 = 2x + 1[/tex]
12)
[tex]f(x) = 2x - 5\\g(x) = x + 3\\f(g(x)) = 2(x + 3) - 5 = 2x + 6 - 5 = 2x + 1[/tex]
Related Questions
Beth wants to paint the four walls of her rectangular bedroom. Her room is 10 feet wide, 13 feet long, and 8 feet high. She will not paint her rectangular door, which is 3 feet wide and 7 feet high. What is the total area of the walls that Beth needs to paint?
A. 347 square feet
B. 368 square feet
C.578 square feet
D. 1019 square feet
E. 1040 square feet
Answers
Answer:
D; 1019 square feet
Step-by-step explanation:
10 x 13 x 8 = 1040 square feet
3 x 7 = 21 square feet
1040 - 21 = 1019 square feet (:
Answer:
10x13 is 130
130x8 is 1040
Step-by-step explanation:
Which of the following expressions is modeled on the number line?
Answers
The first arrow goes from 0 to 3, which is 3 units.
The second arrow goes from 3 to 6, which is another 3 units.
The total units is 3 + 3 = 6
This means you have 2 different sets of 3, which can be modeled by 2 x 3.
The second choice is correct.
Which of the following is equal to 5/7-4/7 (a) 0 (b) 1 (c) undefined (d) 1/7
Answers
Answer:
It's 0.142857
Step-by-step explanation:
Answer:
your answer is d.1/7
Step-by-step explanation:
all you have to do is subtract 5-4 which is 1 then add 7 as the denominator
What property is this an example of 56 + 82 = 82 + 56?
Answers
Answer:
Step-by-step explanation:
Commutative property
It will be nice if you give me brainliest.Good luck!
Simplify
(sec ∅ - 1)(sec ∅+ 1)
Answers
Answer:
[tex]tan^2(x)[/tex]
Step-by-step explanation:
[tex](sec(x)-1)(sec(x)+1)\\sec^2(x) - 1\\\frac{1}{cos^2(x)} -1\\\frac{1-cos^2(x)}{cos^2(x)} \\\frac{sin^2(x)}{cos^2(x)}\\ \\tan^2(x)[/tex]
In the diagram, AC=BD. Show that AB=CD
Answers
Explain in your own words what happens when a car's tires are changed from the original size to a LARGER size. How is the odometer affected? How is the speedometer
affected?
Answers
Answer:
Step-by-step explanatin
it affects it because your going from smaller tires witch make it easier to make turns go faster things like that when you put bigger tires on the car it is gonna raise the car and have a whole differnt outlook
HELP ILL AWARD BRAINLIEST
Answers
Answer:
Think about it
Step-by-step explanation:
If you made $20 in 2 hrs you made $10 per hour
To find out how much you make per certain number of hrs multiply $10 by the number of hours
The equation is y = 10x + 0 <-- this is also answer to number 4
10x is the constant of proportionality I think.
5 hours: 50 dollars
8 hours: 1600 dollars
I don’t know the rest but I hope this helped for part of it at least:)
pls i want 0.00659887 in a standard form
Answers
Answer: 6.59887x10^-3 (scientific notation) (it’s already in standard form I think)
Step-by-step explanation:
Kathy deposits $25 into an investment account with an
annual rate of 5%, compounded annually. The amount in
her account can be determined by the formula A = P(1 + R),
where P is the amount deposited, R is the annual interest
rate, and t is the number of years the money is invested. If
she makes no other deposits or withdrawals, how much
money will be in her account at the end of 15 years?
Answers
Answer:
25 x 1.05^15 = $51.97
9, 2, 1,5,9, 7, 1, 2, 2, 5, 6
What is the median for the set of data?
Answers
Answer:
3.5
Step-by-step explanation:
9, 2, 1,5,9, 7, 1, 2, 2, 5, 6
rearrange
1, 1, 2, 2, 2, 5, 5, 6, 9, 9
2+5=7
7/2=3.5
Answer:
its either 3.5
Step-by-step explanation:
1, 1, 2, 2, 2, 5, 5, 6, 7, 9, 9 basically see which number is in the middle basically your adding the middle and then dividing by 2 and eureka...
Select the correct answer.
What is the solution for x in the equation? 5/3x+4=2/3x
Answers
Pls mark brainliest
Answer:
x = -4
Step-by-step explanation:
5/3x + 4 = 2/3x
5/3*(-4) + 4 = 2/3*(-4)
8/3 = 8/3
Calculate the slope between the points: (4, -3) and (4,7)
a
m=-1.25
b
m=undefined
C
m=0.5
m=0
Answers
Answer:
B
Step-by-step explanation:
Slope = 10/0 = undefined
On a number line, what other number is the same distance from -2.8 as -7.2 is?
Answers
Answer;
1.6
Explanation
What we shall do here is to calculate the distance between the two points on the number line
Mathematically, that would be ;
-2.8 -(-7.2) = -2.8 + 7.2 = 4.4
This means that -7.2 is 4.4 units away from -2.8
So to find other number which is this same distance;
we have -2.8 + 4.4 = 1.6
55 in feet and inches
Answers
Answer:
1 foot 8 inches
Step-by-step explanation:
What number when subtracted from the sum of 5.6 and 9.4 will give 12.8? *
Answers
Answer:
2.2
Step-by-step explanation:
5.6-9.4=15.0
so you subtract 12.8 from 15.0 which gives you the answer 2.2 so your answer is 2.2
What is the factored form of the binomial expansion?
256x4 − 1,536x3y + 3,456x2y2 − 3,456xy3 + 1,296y4
(4x – 6y)3
(4x – 6y)4
(16x – 36y)3
(16x – 36y)4
Answers
The factored form of the binomial expansion of 256x4 − 1,536x3y + 3,456x2y2 − 3,456xy3 + 1,296y4 is (4x-6y)^4
Answer:
B
Step-by-step explanation:
I NEED HELP ASAP PLEASE!! -4(w+1)=-24 w= what?
Answers
GiveN:
-4(w + 1) = -24wWhat to do?
We have to solve for wStep-by-step explanation:
For solving the Equation, we need to simplify it first. Expanding the parentheses.
⇒ -4w - 4 = -24 w
Shifting -24 w to the LHS to isolate m and shifting 4 to the RHS[tex].[/tex]
⇒ -4w + 24w = 4
⇒ 20w = 4
Dividing the equation by 20, So that we will get w in the LHS of the equation.
⇒ w = 4/20
⇒ w = 1/5
The required value of w is 1/5.
The 240 ninth-graders at a high school are divided into homeroom groups of 10 or 12 students. This equation models the
situation, where x represents the number of 10-student groups and y represents the number of 12-student groups:
10x +12y = 240.
? Question
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar.
The x-intercept is located at ( ,0).
The y-intercept is located at (0, )
The slope of the line represented by this equation is[ ]
Answers
Answer: The X intercept is located at (24,0) The Y intercept is located at (0,20)
The slope of the line represented by this equation is -5/6
Step-by-step explanation:
The x-intercept is located at (24, 0).
The y-intercept is located at (0, 20)
The slope of the line represented by this equation is (-5/6).
We have,
Equation:
10x + 12y = 240
This can be written in the slope-intercept form.
y = mx + c
Where m is the slope and c is the y-intercept.
Now,
10x + 12y = 240
12y = 240 - 10x
12y = -10x + 240
y = (-10/12)x + 240/12
y = (-5/6)x + 20
Now,
The y-intercept is 20.
This is when x = 0.
And,
The x-intercept is when y = 0.
0 = (-5/6)x + 20
(5/6)x = 20
x = 4 x 6
x = 24
And,
The slope is (-5/6)
Thus,
The x-intercept is located at (24, 0).
The y-intercept is located at (0, 20)
The slope of the line represented by this equation is (-5/6).
Learn more about the equation of a line here:
https://brainly.com/question/23087740
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Which of the following equations have the same solution as 3x-5=5x×11
Answers
Answer:
-5=2x+11
Step-by-step explanation:
Y
Hey, I need help with a math question. thank you <3
Answers
Answer:
B
Step-by-step explanation:
determine whether each ordered pair is a solution of the given equation
x=3;(3,-1),(4,3)
Answers
Answer:
(3,-1) is a solution but (4,3) is not a solution
Step-by-step explanation:
You simply look to see if x in both ordered pairs are 3 since you are given the equation x=3 then x needs to equal 3 for it to be valid
Convert 50.0 mL to liters. Use the appropriate significant figures
Answers
Answer:
50 ml = 0.050 liters
Step-by-step explanation:
The solution is:
The mass/volume percent = 16/50 x 100% = 32%
What is volume?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
Explanation
Given:
Mass of NaCl, m = 16.0 g
Volume of solution, v = 50.0 mL
What to find:
The mass/volume percent.
Solution
The mass/volume percent of the solution can be calculated using the formula below
The mass/volume percent = mass/volume x 100%
so, we get,
The mass/volume percent
= 16/50 x 100%
= 32%
Hence, The mass/volume percent is 32%.
To learn more on volume click :
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complete question;
Calculate the mass/volume percent (m/v) of 16.0 g NaCl in 50.0 mL of solution.Express your answer to three significant figures.
PLEASE HELP!
You invest $1000 in an account that has an annual interest rate of 4%, compounded monthly for 12 years. What is the equivalent interest rate and how many times will the money be compounded?
0.33% and 1 time
3% and 4 times
3% and 144 times
0.33% and 144 times
Answers
Answer:
The final balance is $1,612.23.
The total compound interest is $612.23.
Step-by-step explanation:
The required equivalent interest rate and money compounded is 0.33% and 144 times respectively. Option b is correct.
Equivalent interest rate for 4% and how many times the money will be compounded to be determine.
What is arithmetic?In mathematics it deals with numbers of operations according to the statements.
Here, the equivalent interest rate = 4%/12
= 1/3
= 0.33%
Now, number of times money compounded = 12 years
= 12 x 12 months
= 144
Thus, the required equivalent interest rate and money compounded is 0.33% and 144 times respectively.
Learn more about arithmetic here:
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A rectangle is graphed on the coordinate grid.
On a coordinate plane, side p has points (1, 4) and (3, 6), side q has points (3, 6) and (6, 3), side r has points (4, 1) and (6, 3), and side s has points (4, 1) and (1, 4).
Which represents the equation of a side that is perpendicular to side s?
y = negative x + 9
y = negative x + 5
y = x + 9
y = x + 3
Answers
Answer:
y=negative x+5
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Y=X+3
2 2/3 divided by 1 1/3
Answers
Answer:
2
Step-by-step explanation:
Answer:
It is 2
Step-by-step explanation:
I do not have a true explanation its just quick math to my brain.
How do you solve 60/5/90 can anyone divide that, please I will give brainliest
Answers
Answer:
Step-by-step explanation:
60/5 is 12
12/90 is .133repeated
3. Solve for x.
4d = txy
Answers
Answer:
[tex]\huge\boxed{x=\frac{4d}{ty}}[/tex]
Step-by-step explanation:
If we have an equation ([tex]4d=txy[/tex]) and we want to solve for x, we want to reverse the equation until we have x on one side. Basically - what's stopping x from being alone?
The answer would be the t and the y that are being multiplied by x. So we can divide both sides by t and y to get our answer.
This is the same as dividing both sides by [tex]ty[/tex].
[tex]4d \div ty = txy \div ty[/tex]
[tex]\frac{4d}{ty}=x[/tex]
Hope this helped!
4> 9 + 10
whats the anwsers?
Answers
Answer:
4>19
The statement is false 4 is not bigger than 19.
Is anyone a disgrace to their parents
what is 2+2x 100000000000 +5 /10
Answers
Answer:
2x^100000000000+ 5/2
Step-by-step explanation:
Answer:
400000000000
Step-by-step explanation: