Answer: A
Step-by-step explanation:
Which represents the inverse of the function f(x) = 4x?
h(x) = x + 4
h(x) = x – 4
h(x) = three-quartersx
h(x) = one-quarterx
By definition, the correct answer is the last option: the inverse of the function f(x) = 4x is h(x)= [tex]\frac{1}{4}[/tex]x.
Definition of inverse functionThe inverse or reciprocal function of f(x) is called another function f⁻¹(x) that satisfies: If f(x)=y , then f⁻¹(y)=x.
To build or calculate the inverse function of any function, one of the ways to do it is to interchange the variables x and y, and use a combination of algebraic methods in order to isolate the variable "y".
Inverse of f(x)=4xBeing f(x)=y=4x, to calculate the inverse, in first place you interchange the variables x and y:
f(y)=x=4y
Isolating the variable y, you get:
h(x)=x÷4= [tex]\frac{1}{4}[/tex]x
Finally, the correct answer is the last option: the inverse of the function f(x) = 4x is h(x)= [tex]\frac{1}{4}[/tex]x.
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I NEED HELP PLEASE I WILL MARK
Answer:
-22
Step-by-step explanation:
-22 is the quotient
Answer: -22
Hope this helps.
Solve for y
6 = 4x + 9y
Answer:
y=.44-.66
Step-by-step explanation:
hope this helps not 100 percent sure let me know in the comments.
Erica’s bank account increased from $1,200.00 to $1,500.00. By what percent did the amount of money in her bank account increase?
25% amount of money increased in her bank account.
Here,
Erica’s bank account increased from $1,200.00 to $1,500.00.
We have to find the percent of amount of money in her bank account increase.
What is Percent?
Percentage is a fraction or a ratio in which the value of whole is always 100.
Now,
Erica’s bank account increased from $1,200.00 to $1,500.00.
Increased money = $1,500 - $1,200 = $300
Percentage of increased money = [tex]\frac{300}{1200} * 100 = 25[/tex]
Hence, 25% amount of money increased in her bank account.
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The equation y=1.35x+10 models the cost of a cab ride, where y is the total cost of the ride in dollars and x is the number of miles driven. Which statement describes this model?
A. Customers pay $1.35 per-mile for the first x miles, and then $10 per mile afterwards.
B. Customers pay 10$ per-mile, and then $1.35 per mile afterwards
C. Customers pay $1.35 initially, and then another $10 for every mile traveled.
D. Customers pay $10 initially, and then another $1.35 for every mile travled
Answer:
C.
Step-by-step explanation:
X is the number miles driven so C. is the BEST answer choice.
Answer:
Its C
Step-by-step explanation:
This system of equations is shown on the graph:
2y − 4x = 6
y = 2x + 3
Which statement about the system is true?
A. The system has no solution.
B. The system has a unique solution at (0,3).
C. The system has a unique solution at (1,5).
D. The system has infinitely many solutions.
Answer:
Option (D)
Step-by-step explanation:
System of equations has been given as,
2y - 4x = 6
y - 2x = 3 [Dividing both sides of the equation by 2]
y = 2x + 3 ------(1) [Slope-intercept for of the equation]
y = 2x + 3 ------(2)
Since, both the equations are same,
System of equations will have infinitely many solutions.
Therefore, Option (D) will be the correct option.
Answer:
d
Step-by-step explanation:
A mosquito is walking at random on the nonnegative number line. She starts at $1$. When she is at $0$, she always takes a step $1$ unit to the right, but, from any positive position on the line, she randomly moves left or right $1$ unit with equal probability. What is the expected number of times the mosquito will visit $0$ before the first time she visits $4$?
The expected number of times the mosquito will visit 0 before the first time she visits 4 is 3/4 by using concept of probability and geometric series.
Given that repeatedly throwing a fair tetrahedral die, trying to get a 4 (success) before getting a number from 1 to 3 (failure), which follows a geometric distribution.
To find the expected number of visits to 0 before reaching 4, analyze two cases:
success (reaching 4 before 0) and failure (reaching 0 before 4).By the given data, the probabilities of two cases are:
P(success) p = 1/4,
P(failure)=3/4.
The expected count of failures, X, can be found in terms of success probability p as
[tex]E[X]=\sum_{x=0}^{+\infty}[x(1-p)^xp][/tex]
On substituting p = 1/4 gives:
[tex]E(X) = 0(1/4)+1(3/4)(1/4)+2(3/4)^2(1/4)+3(3/4)^3(1/4)+.........[/tex]
On taking (1/4) gives
[tex]E(X) = 1/4[3/4+(3/4)^2+(3/4)^3+......+\infty]----(1)[/tex]
Consider [tex]3/4+(3/4)^2+(3/4)^3+......+\infty[/tex]
This forms a geometric series tends to infinity and the sum is given by :
[tex]S_\infty = a/(1-r)[/tex]
Here: a= 3/4
r = 3/4
Plugging these values into formula gives:
[tex]3/4+(3/4)^2+(3/4)^3+......+\infty = S_\infty[/tex]
[tex]S_\infty= 3/4/(1-3/4)[/tex]
On subtracting the denominator gives:
= 3/4/(1/4)
On taking reciprocal gives:
= 3/4 * 4
On simplifying gives:
= 3
Substituting these value into given equation 1 gives:
E(X) = 1/4*[3]
On multiplying gives:
E(X) = 3/4.
Therefore, the expected number of times the mosquito will visit 0 before the first time she visits 4 is 3/4 by using concept of probability and geometric series.
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Consider the function f(x) = x(x-4.
If the point (2+c,y) is on the graph of f(x), the following point will also be on the graph of f(x):
A) (c-2,y)
B) (2-c,y)
Step-by-step explanation:
point (c-2, y) lies on the graph of f(x)=x(x-4)f(x)=x(x−4) .
Step-by-step explanation:
Given function f(x)=x(x-4)f(x)=x(x−4) also point (2+ c,y) is on the graph of f(x) ,
We have to find out of given point which point will also be on the graph of f(x).
Consider the given function f(x)=x(x-4)f(x)=x(x−4)
f(x)=x(x-4)f(x)=x(x−4) can be rewritten f(x)=x^2-4xf(x)=x
2
−4x
Now we substitute the given point (2+ c, y) in the function given ,
we have,
f(x)=y=x(x-4)f(x)=y=x(x−4)
put for x as 2+c , we have,
\Rightarrow y=(2+c)(2+c-4)⇒y=(2+c)(2+c−4)
Solve, we get
\Rightarrow y=(2+c)(c-2)⇒y=(2+c)(c−2)
Thus, both point (2+c, y) and (c-2, y) lies on the graph of f(x)=x(x-4)f(x)=x(x−4)
Thus, option (1) is correct.
7. Given f(x) = 3x - 1, find f(2).
4
2
1
5
Answer:
5
Step-by-step explanation:
3) Jonathan purchased 120 pieces of candy for Valentine's Day. He
gives 2 pieces to each of his friends. When he finishes handing
out candy, he has 30 pieces left. How many friends did he give
candy to?
I think 45
Step-by-step explanation:
120-30=90
90 pieces are gone and divide that by two for each friend
90÷2=45 so he has 45 friends?
Rickey has 7 over 8 cup of cereal in a bowl. He then gave two 1 over 4 cups of cereal from his bowl to his little sister. Which of the following best explains the amount of cereal left in Rickey's bowl?
Answer:
5/8 cup left
Step-by-step explanation:
7/8 - 1/4
1/4=2/8
7/8-2/8
5/8
Find the measure of the indicated arc.
Help!! I got this wrong last time lol
Answer:
A.
Step-by-step explanation:
when you distribute it you keep the subtraction sign and have to multiply 6 by 50 and then 6 by 1
The store bought a table for $200, and sold it for $350. What percentage was the markup? %
Answer: 175% or 75% more in price
Step-by-step explanation:
There was a 75% of markup in the price.
What is percentage?A percentage is a number that tells us how much out of 100 and can also be written as a decimal or a fraction.
Given that, The store bought a table for $200, and sold it for $350, we need to find the percentage of markup in the price,
percentage of markup in the price =
(final price - original price)/(original price)x100
final price = $350, original price = $200
Markup in price = $350-$200 = $150
percentage of markup in the price = 150/200x100 = 75%
Hence, There was a 75% of markup in the price.
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Destiny has 10$ and Elijah has 5$. I give each person the same amount of money each week. This situation can be represented with: x + 10 = x + 5
How many solutions does this situation reperesent ? Please explain your reasoning
Answer:
I do believe that the answer is 0 solutions.
Step-by-step explanation:
x+10 =x+5
Subtract 5 from both sides, you get:
x+5=x
Subtract x from both sides, and you get:
5=0 which is NOT true. Also I maybe wrong, pls don't be mad at me.
i'll mark you as brainliest
Answer:
y=x+30
Step-by-step explanation:
use y2-y1/x2-x1 to find the slope
the y-int is 30 since looking at the answer choices
Answer:
y=x+30
Step-by-step explanation:
SOMEONE HELP I DONT KNOW WHAT THE HECK IM DOING (7th grade)
Answer:
Step-by-step explanation:
I'm 8th grade, G
For this problem, you can start by taking the 35 and dividing it by 5 to get 7. Then you need to take 300 and divide that by 5 to get the right proportions. Then you can take your new number from 300 and divide that by 7, and you should not be on the right path because I'm probably an idiot.
Sorry bout it
Answer:
hi
Step-by-step explanation:
Which expression is equal to (1.5)3? Select all that apply
Answer:
Step-by-step explanation:
There isn't anything to choose from.
However, if your expression is (1.5)^3, then the answer is 3.375. You can match this up to what choices you have.
1.5^3=3.375
1.5*1.5*1.5=3.375
Answer:
One expression is 3(1.5)
Step-by-step explanation:
Here"s why:
The order of multiplication doesn't matter. For example, 3 times 5 is 15 and 5 times 3 is also 15.
I hope this is somewhat you were looking for!! :)
The absolute value of ______ is the same number
Fill in the blank
Answer: I dont know what the fill in the blank would be, but simply make any number not negative
Step-by-step explanation: Example |-3| = 3
there are always positive
22. Roberto is an advertising sales representative for a magazine. He earns a commission on
his total sales each month. Last month, Roberto sold $75,000 in advertising. His commission
was $12,750. What percent does Roberto earn as commission?
Answer:
17%
Step-by-step explanation:
12,750/75,000=0.17
Which means it's 17%
Brainliest please-
Solve for u. 7/6=u+4/8 Simply the answer.
Answer:
plz mark brainliest
Step-by-step explanation:
16/3 or 5 1/3
Answer:
[tex]u=\frac{16}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define
[tex]\frac{7}{6} =\frac{u+4}{8}[/tex]
Step 2: Solve for u
Cross-multiply: [tex]7(8)=6(u+4)[/tex]Multiply: [tex]56=6(u+4)[/tex]Distribute 6: [tex]56=6u+24[/tex]Isolate u term: [tex]32=6u[/tex]Isolate u: [tex]\frac{32}{6} =u[/tex]Simplify: [tex]\frac{16}{3} =u[/tex]Rewrite: [tex]u=\frac{16}{3}[/tex]Step 3: Check
Plug in u into the original equation to verify it's a solution.
Substitute in u: [tex]\frac{7}{6} =\frac{\frac{16}{3} +4}{8}[/tex]Add: [tex]\frac{7}{6} =\frac{\frac{28}{3}}{8}[/tex]Divide: [tex]\frac{7}{6} =\frac{7}{6}[/tex]Here we see that 7/6 does indeed equal 7/6.
∴ [tex]u=\frac{16}{3}[/tex] is a solution of the equation.
I suck at math please do this for me I’ll give you anything
Answer:
Step-by-step explanation:
20:
Jordan solved the equation −7x + 25 = 48; his work is shown below. Identify the error and where it was made.
−7x + 25 = 48
Step 1: −7x + 25 − 25 = 48 − 25
Step 2: −7x = 23
Step 3: -7x/7= 23/7
Step 4: x = 23/7
Step 1: He should have added 25 to each side.
Step 1: He should have divided both sides by −7.
Step 3: He should have divided both sides by −7.
Step 3: He should have multiplied both sides by −7.
Answer:
step 3: he should have divided both sides by -7
Giving 15 points plz plz help me
ax + bx = 0
Solve equation for x
Answer:
you cant have two variables
Step-by-step explanation:
Consider the expression. 6 · 60 · 6–3 Which statements are true about the expression? Check all that apply. The 6 without an exponent is equivalent to the 6 having a 0 exponent. The sum of the exponents is
Answer:
4. The expression has a value of 1/36 . True
5. An equivalent expression is (6)^5. (6)^- 7 True
Step-by-step explanation:
Not true. The 6 without an exponent is equivalent to the 6 having a 0 exponent.
Any number having an exponent zero has a value equal to 1.6 · (6)^0 · (6)^–3
= 6.1.1/216
= 1/36
= (6)^-2
2. The sum of exponents is 2.
False ( the sum of exponents is -2)
3.Multiply the exponents to solve the expression .
False when the bases are the same the exponents are added or subtracted.
4. The expression has a value of 1/36 .
True
5. An equivalent expression is (6)^5. (6)^- 7
True
Answer:
The last two answers d and e
Step-by-step explanation:
someone help plz it is appreciated very much
Answer:
y=x+6 is the correct answer:)
Step-by-step explanation:
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer:
undefined slope
Step-by-step explanation:
This is a vertical line parallel to the y- axis.
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 5, - 3) and (x₂, y₂ ) = (- 5, - 6) ← 2 points on the line
m = [tex]\frac{-6+3}{-5+5}[/tex] = [tex]\frac{3}{0}[/tex]
Since division by zero is undefined then the slope is undefined.
Note that all vertical lines have an undefined slope
Write the equation of the line in standard form
y
5
3
2
1
X
1
4
2
5
3
-1
-5
-4
-3
-2
-2-
-3
Answer:
(5,1)
(3,4)
(2,2)
(1,5)
expressions equivalent 10(2 + 3)-8.3 hurry extra points!
Answer:
41.7
Step-by-step explanation:
[tex]10(2 + 3) - 8.3 \\ \\ = 10 (5) - 8.3 \\ \\ = 50 - 8.3 \\ \\ = 41.7[/tex]