Answers
Answer:
1/2x -1/2
Step-by-step explanation:
f(x) = 2x+1
y = 2x+1
Switch x and y
x = 2y+1
Solve for y
Subtract 1
x-1 = 2y+1-1
x-1 =2y
Divide by 2
(x-1)/2 = 2y/2
1/2x -1/2 = y
The inverse is 1/2x -1/2
Answer:
[tex]\huge\boxed{h(x) = \frac{1}{2} x - \frac{1}{2}}[/tex]
Step-by-step explanation:
[tex]f(x) = 2x+1[/tex]
Put f(x) = y
[tex]y = 2x + 1[/tex]
Interchange x and y
[tex]x = 2y+1[/tex]
Solve for y
[tex]x = 2y+1[/tex]
Subtracting 1 to both sides
[tex]x-1 = 2y[/tex]
Dividing both sides by 2
[tex]\frac{x-1}{2} = y \\\\ OR\\\\ y = \frac{x-1}{2}[/tex]
Put y = h(x)
[tex]\bold{h(x) = \frac{1}{2} x - \frac{1}{2}}[/tex]
Related Questions
Solve the following equations. Show your work. Submit to your teacher when you have completed the sheet.
Answers
Answer:
1. y=3
2.x=4
3. k= -2
4.n= -45
5. c = -3
6. p = 4
7. t = 0
8. r = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
A 6-cup bottle of fabric softener costs $2.40. What is the price per fluid ounce?
Answers
Answer:
78
Step-by-step explanation:
Answer:
0.05¢ per fl oz
Step-by-step explanation:
1. You are going to 6 cups to fl oz.
2. 6 cups is equal to 48 fluid ounces.
3. Then i did a guessing game from there. .20 was to much per fl oz. .10 was too much. .05 was just right
What is the answer for this question
Answers
Answer:
It's the second one.
Step-by-step explanation:
It's the second one because the volume of the radius is v and 4/3 gives the radius and after that if you look at the second three then use a calculator to multiple the numbers up it tells you what the numbers are and the number give you r for the volume so it makes it the second one.
A family is planning a vacation, traveling 300 miles from their house. If they plan to stop at parks to allow the children to play every two hours, how many parks will they visit before they reach their destination assuming they travel 60 mph?
I'm thinking 3 since they go to the park immediately to start the 2 hour period so
park 0hours 0miles park 2hr 120miles park 4h 240miles than for the rest of the 60 miles no park.
Answers
Answer:
im pretty sure its 2
Step-by-step explanation:
300/60 is 5 so that would be a 5 hr car ride and since there isnt a 6th hour i think it would be 2
Given f(x) = 5x + 3, find f(5)
Answers
Answer:
Hey there!
f(x)=5x+3
f(5)=5(5)+3
f(5)=25+3
f(5)=28
Let me know if this helps :)
Answer:
f(5) =28
Step-by-step explanation:
[tex]f(x) = 5x + 3\\f(5) =?\\\\[/tex]
Substitute 5 for x in the given function
[tex]f(5) = 5(5) +3\\f(5) = 25+3\\f(5) =28[/tex]
The Earth is approximately a sphere of diameter 12742 km. The surface area of a sphere is given by the formula A = 4π r² Calculate the surface area of the Earth. Give your answer in metres squared and in standard form. (Take pi = 3.142) *
Answers
Answer:
5.101 x 10^14 m^2
Step-by-step explanation:
First you have to convert km to metres (the final answer must in metres).
So that would be 12742000m. Remember this is the diameter. The radius is half the diameter. So the radius would be 6371000m.
You then put it into the formula: 4 x π x 6371000².
And then you would get the answer: 5.101 x 10^14 m^2
Tanmayi wants to raise $175 for a school funraiser. She has raised $120 so far. How much more does she need to reach her goal? (unsolved equation)
Answers
What are geometric proofs used for?
Answers
Answer:
Prove if certain shapes fit the criteria, and if they are congruent or not
Step-by-step explanation:
Geometric proofs prove if certain shapes are congruent, whether they are not. They can also prove if sides are equal when values are not given, if a certain shape fits certain criteria, and can prove the length of certain lines when the values are not given.
Which of the following is not found in an expression:
-
+
X
=
Answers
Answer:
=
Step-by-step explanation:
In an expression, its not the whole thing. EX: (2x + 3)
Thats an expression
11,20,29, Find the 30th term.
Answers
Answer:
372
There are already 3 terms. So, now you have to find the 30th term.
The difference of 30 - 3 is 27. Now, since you add 9 for every term, multiply it by 27.
27 x 9 = 243.
The third term is 29. So you add 29.
Your answer will be 372. Hope it helps.
Write the augmented matrix for the following system of equations.
2z = - 4y - 9x
0 = 4x + 6z + 2
2z = 2 + 3y
Answers
27
68 it’s very simple do the math
solve the equation 1 = 6 (1 - p)
Answers
Answer:
p = 0.8333333333
Step-by-step explanation:
Simplifying
1 = 6(1 + -1p)
1 = (1 * 6 + -1p * 6)
1 = (6 + -6p)
Solving
1 = 6 + -6p
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '6p' to each side of the equation.
1 + 6p = 6 + -6p + 6p
Combine like terms: -6p + 6p = 0
1 + 6p = 6 + 0
1 + 6p = 6
Add '-1' to each side of the equation.
1 + -1 + 6p = 6 + -1
Combine like terms: 1 + -1 = 0
0 + 6p = 6 + -1
6p = 6 + -1
Combine like terms: 6 + -1 = 5
6p = 5
Divide each side by '6'.
p = 0.8333333333
Answer:
0.833
Step-by-step explanation:
Simplifying
1 = 6(1 + -1p)
1 = (1 * 6 + -1p * 6)
1 = (6 + -6p)
Solving
1 = 6 + -6p
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '6p' to each side of the equation.
1 + 6p = 6 + -6p + 6p
Combine like terms: -6p + 6p = 0
1 + 6p = 6 + 0
1 + 6p = 6
Add '-1' to each side of the equation.
1 + -1 + 6p = 6 + -1
Combine like terms: 1 + -1 = 0
0 + 6p = 6 + -1
6p = 6 + -1
Combine like terms: 6 + -1 = 5
6p = 5
Divide each side by '6'.
p = 0.8333333333
Simplifying
p = 0.8333333333
What is the unit price of a 6 ounce tube of toothpaste that costs $3.75?
Answers
Answer:
$0.62
Step-by-step explanation:
Step 1:
$3.75 ÷ 6 = $0.62
Answer:
$0.62
Hope This Helps :)
Answer:
0.625
Step-by-step explanation:
Divide the cost by the amount (3.75÷6)
3.75÷6= 0.625
A hypothesis must be testable and falsifiable to be scientifically valid. Being testable and falsifiable means that __________.
Answers
Answer:
Any possible observation and perhaps a research project could show if a given hypothesis seems to be inaccurate.
Step-by-step explanation:
The prediction seems to be the hypothesis because it requires anything other than an assumption. The theory almost all of the moment begins with the problem which would then be discussed throughout context analysis. Only then do investigators or scientists begin to establish observable well as testable theory.Which of the following numbers is a composite number?
A. 13
B. 31
C. 49
D. 67
Answers
Answer:
Step-by-step explanation:
a composite number is a whole number with three or more factors.
C is the correct answer
Answer:
c
Step-by-step explanation:
what is the inverse of f(x)= 1/4x- 7
Answers
Answer:
f−1(y)=4(y−7) is the inverse function
solve the equation: - 9 + x = 17
Answers
Answer:
x = 26
Step-by-step explanation:
Start with - 9 + x = 17, or -9 + x = 17
Solve for x by isolating x on the left side. To do this, add 9 to both sides, obtaining x = 26
The function C(x) = x 2 + 78 x + 29 models the cost, in hundreds of dollars, to produce x thousand pens. Find and interpret C(0), C(2) and C(4)
Answers
Answer:
Step-by-step explanation:
Given the function C(x) = x 2 + 78 x + 29 models the cost, in hundreds of dollars, to produce x thousand pens, we are to interpret C(0), C(2) and C(4).
For C(0), we are to substitute x = 0 into the given function;
C(0) = 0²+78(0)+29
C(0) = 0+0+29
C(0) = 29
Since the cost C(x) is in hundreds of dollars, C(0) = 2900
C(0) means that the cost of producing 0 thousand pen is $2,900
For C(2), we are to substitute x = 2 into the given function;
C(2) = 2²+78(2)+29
C(2) = 4+156+29
C(2) = 189
Since the cost C(x) is in hundreds of dollars, C(2) = 189*100 = $18900
C(2) means that the cost of producing 2 thousand pens is $18,900
For C(4), we are to substitute x = 4 into the given function;
C(4) = 4²+78(4)+29
C(4) = 16+312+29
C(4) = 357
Since the cost C(4) is in hundreds of dollars, C(4) = 357
C(4) means that the cost of producing 4 thousand pens is $35,700
What is the next term of the sequence? 19, 14, 9, 4, ___
Answers
Answer:
-1
-Step-by-step explanation:
4.44 x 4 = please my sister needs it
Answers
Answer:
17.76
Step-by-step explanation:
0.44 x 4 = 1.76
4 x 4 = 16
16+1.76=17.76
(x - 8 ) -3(2x+5)-(-2x-4)
Answers
(x−8)−6x−15+2x+4
x−8−6x−15+2x+4
x−19−6x+2x
Combine like terms
−3x−19
Answer: −3x−19
I need help ;-; can somebody help me Idk
Answers
Answer:
Khan academy allows a great amount of resources.
Step-by-step explanation:
1. Khan Academy allows students to have access for free, and allows practice exercises, instructional videos, and a personalized learning dashboard to help students engage.
2. You are able to find resources and questions by going to the Khan Academy help center for info that you need.
3. Khan Academy has a variety of quizzes, tests, video tutorials, and personalized practice recommendations on different subjects. There are a variety of SAT study tools that the students are able to utilize throughout the course.
In conclusion, these are the main reasons that explain Khan Academy's resources.
I hope this helps! :)
if T is the midpoint of SU find the values of x and ST .
Answers
Answer:
B
Step-by-step explanation:
Since T is at the midpoint of SU, then
ST = TU , substitute values
8x = 3x + 20 ( subtract 3x from both sides )
5x = 20 ( divide both sides by 5 )
x = 4
Thus
ST = 8x = 8(4) = 32
Is it possible to have the same output (y) for two different inputs (x) in any solution set? For example: (2,9), (6,9). How do you know? Write your answer and explanation on the back on this paper.
Answers
Answer:
Yes
Step-by-step explanation:
Yes it is possible to get the same output by providing two different inputs in a solution.
For example :
Let a function, [tex]$y = x^2 $[/tex] ......(1)
Case 1
let x = -2, putting the value of x in equation (1), we get
[tex]$y = x^2 $[/tex]
[tex]$y = (-2)^2 $[/tex]
= 4
Case 2
let x = 2, putting the value of x in equation (1), we get
[tex]$y = x^2 $[/tex]
[tex]$y = 2^2 $[/tex]
= 4
Therefore, for both the different input (x), we get the same output (y).
How can parallel lines be used to compare figures E and F? Explain your reasoning.
Answers
Answer:
The similarities are
1) The length of E and F can be described by two parallel lines spaced 3 blocks apart where the parallel line on the left of both E and F is 2 blocks long, while the parallel line on the right is one block long
2) Both height of E and F can be described by two parallel lines spaced 2 blocks apart where the parallel line on the top of both E and F is 3 blocks long, while the parallel line at the bottom is one block long
3) The interior of E an F can be described by parallel lines 2 blocks long in the horizontal portion and one block long in the vertical portion
The differences are
1) The difference between E and F is that the parallel lines used for the construction of E are all one block higher than that of F
2) The other difference is that all the lines used for the construction of the figure E are 3 blocks to the left of those used for the construction of F
Figure F is essentially the translation of figure E three blocks to right and one block down
Step-by-step explanation:
Which pair of numbers is relatively prime
Answers
Answer:
Well, Two integers are relatively prime (or coprime) if there is no integer greater than one that divides them both (that is, their greatest common divisor is one). For example, 12 and 13 are relatively prime, but 12 and 14 are not.
Step-by-step explanation: Hope this helped! <3
A car's velocity changes from 0m/s to 50 m/s in 2 seconds. How large was the car's
acceleration?
Answers
Answer:
25 m/s^2
Step-by-step explanation:
acceleration = speed/time
50 m/s / 2 s = 25 m/s^2
please help me I'm confused :((
The points E(5, 12), F(-1, 8) and G(2, k) are located
straight line. Find the value of k.
please give me the solving steps
Answers
Answer:
k = 10Step-by-step explanation:
Use the first two points to get a formula of the line E(5, 12), F(-1, 8)
y = mx + b is the slope-intercept formulam is found using two points as:
m = (y₂ - y₁)/(x₂ - x₁) m = (8 - 12)/(-1 -5) = -4/-6 = 2/3The formula becomes:
y = 2/3x + bThen we find the value of b using one of the points. Let's use point E(5, 12)
12 = 2/3*5 + b12 = 10/3 + bb = 12 - 10/3 = 26/3So the formula now is:
y = 2/3x + 26/3To find the missing coordinate we substitute x with 2 and y with k:
k = 2/3*2 + 26/3 = 4/3 + 26/3 = 30/3= 10k = 10Answer:
k = 10
Hope it helped:D
Solve: 2x ≤ -2/3 (4x + 4)
Answers
reason:
first, multiply 4x and 4 by -2/3, which leaves you with the equation 2x ≤ -8/3x + 8/3
then, you add 8/3x to both sides, making it 4 2/3x ≤ 8/3
divide both sides by 4 2/3 and you get x ≤ 1
Answer:
x ≤ 4/7
Step-by-step explanation:
Simplify the given 2x ≤ -2/3 (4x + 4) by multiplying both sides by (3/2):
(3/2)(2x) ≤ (3/2)(-2/3)(4x + 4)
We get 3x ≤ -4x - 4
Solve for x by combining like terms. Add 4x to both sides, obtaining
7x ≤ 4
and so the solution is the set
x ≤ 4/7
Clear parentheses and combine like terms:
Answers
Answer:
-3p - p²
Last option
Step-by-step explanation:
Step 1: Write out expression
2p - 7p² - 5p + 6p²
Step 2: Combine like terms (p²)
-p² + 2p - 5p
Step 3: Combine like terms (p)
-p² - 3p
Step 4: Rewrite
-3p - p²