Answer:
f^-1(x) = (x + 8) / 9
Step-by-step explanation:
Step 1: Set y to x and x to y
y = 9x - 8
x = 9y - 8
Step 2: Solve for y
x + 8 = 9y - 8 + 8
(x + 8) / 9 = 9y / 9
(x + 8) / 9 = y
Step 3: Rename y to f^-1(x)
f^-1(x) = (x + 8) / 9
Answer: f^-1(x) = (x + 8) / 9
The inverse of the function f(x) = 9x - 8 is f^-1(x) = (x + 8) / 9.
To find the inverse of the function f(x) = 9x - 8, follow these steps:
First, replace f(x) with y. So, we have y = 9x - 8.
Next, solve for x. To do this, swap x and y to get x = 9y - 8.
Now, isolate y by adding 8 to both sides, resulting in x + 8 = 9y.
Finally, divide both sides by 9 to solve for y, giving y = (x + 8) / 9. This is the inverse function.
To denote the inverse, we replace y with f-1(x), resulting in f-1(x) = (x + 8) / 9.
please help me i really need your help
Answer:
Step-by-step explanation:
B
how much wrappping paper do you need to cover a box that is 18 inches by 15 inches by 3 inches
Answer:
Step-by-step explanation:
So to do this, you would find the surface area of a box. Since it is a rectangular prism, two sides will always have the same area and so there are 3 different areas. 18*15*2 = 540 and 18*3*2 = 108 and 3*15*2 = 90 and 90 + 108 + 540 = 738 inches
Can You Solve This?
6 = 2(1+2) =
Answer: 6 = 2(1+2), this is true.
Step-by-step explanation:
To solve this, 6 = 2(1 +2) =
This question is to proove that 2(1 +2) = 6
First we open the bracket:
(2 × 1) + (2 × 2)
Multiply 2 by 1 = 2
Multiply 2 by 2 = 4
2 + 4 = 6
I hope this helps.
Answer: hope this helps
6=2x3
6=6
Devaughn is 15 years younger than Sydney. The sum of their ages is 73. What is Sydney’s age?
Answer:
Sydney is 44 years old
Step-by-step explanation:
Step 1: Make a system of equations
d = s - 15
d + s = 73
Step 2: Plug in s - 15 for d in the second equation and solve
s - 15 + s = 73
2s - 15 = 73 + 15
2s / 2= 88 / 2
s = 44
Answer: Sydney is 44 years old
Answer:
Sydney is 44. I think, hope this helps!
helppp pleaseeeeeeeeee
Answer:
im pretty sure its 14
Step-by-step explanation:
Create a word problem that could be used to describe 8x=48
Answer:
Alex goes to the shop and buys 4 times a number bananas (X). When he counts how many bananas he has he counts 48. How much is the number x?
Mary mixes white paint and blue paint in the ratio 2:3
She makes a total of 20 litres of paint.
How much more blue paint does she need to add to the mixture so that the ratio of white paint to blue paint becomes 1:7?
Answer:
44L
Step-by-step explanation:
Mary has 20 liters of paint that have white:blue ratio of 2:3. She wants to make a new mix by adding more blue paint until the ratio becomes 1:7. That means the volume of white paint of the old mid and new mix should be the same.
The volume for the second mix will be:
old mix white paint = new mix white paint
2/(3+2) * 20L = 1/(1+7) * V2
2/5 * 20L= 1/8 V2
8L= 1/8 V2
V2= 8L * 8
V2= 64L
If the new mix volume is 64L and old mix volume is 20L, then the blue paint needed to be added will be: 64L- 20L= 44L
Which answer is right?
Which is greater 1 meter or 1 kilometer?
i need help
Answer:
1 kilometer
Step-by-step explanation:
1 kilometer = 1000 meters
Therefore, a kilometer is more than a meter.
Answer: 1 kilometer
Answer:1 km
Step-by-step explanation:
1km= 1000m
So 1000m >1m
I NEED HELP ASAP MARK THEM WITH DOTS!!!
Given data:
[tex]$1 \frac{4}{9} \text { and } 2 \frac{1}{3}[/tex]
Plot the points [tex]1 \frac{4}{9} \text { and } 2 \frac{1}{3}[/tex] on the number line.
Let us plot the first point [tex]1\frac{4}{9}[/tex].
1 unit is completed. So count after 1 (indicated) in the number line.
point after 1 is [tex]1\frac{1}{9}[/tex]
point after [tex]1\frac{1}{9}[/tex] is [tex]1\frac{2}{9}[/tex]
point after [tex]1\frac{2}{9}[/tex] is [tex]1\frac{3}{9}[/tex]
point after [tex]1\frac{3}{9}[/tex] is [tex]1\frac{4}{9}[/tex].
So, move 4 points after 1 in the number line is [tex]1\frac{4}{9}[/tex].
Now plot the point [tex]2\frac{1}{3}[/tex].
To make the denominator 9, multiply and divide numerator and denominator by 3.
[tex]$2 \frac{1}{3}=2 \frac{3}{9}[/tex]
2 unit is completed. So count after 2 (indicated) in the number line.
point after 2 is [tex]2\frac{1}{9}[/tex]
point after [tex]2\frac{1}{9}[/tex] is [tex]2\frac{2}{9}[/tex]
point after [tex]2\frac{2}{9}[/tex] is [tex]2\frac{3}{9}=2\frac{1}{3}[/tex]
So, move 3 points after 2 in the number line is [tex]2\frac{1}{9}[/tex].
The number line is attached below.
What is the solution to
(2.4*10^11)/(1.2*10^9) using scientific notation
:
xfjgrtjsrjdtyj
erhergqerg3ergtaegqe
If 1 more than 5 times a number is 26, what is the number
To solve this problem, let's translate the given information into a mathematical equation and then solve for the unknown number.
The problem states that "1 more than 5 times a number is 26." We can represent the unknown number by a variable, let's use "x." The phrase "5 times a number" can be translated to "5x." Hence, "1 more than 5 times a number" becomes "5x + 1."
Now, according to the problem, this expression equals 26. This gives us the following equation:
5x + 1 = 26
To find the value of x, we need to solve this equation for x. Here are the steps to do it:
1. First, we need to isolate the term with x on one side of the equation. We can do this by subtracting 1 from both sides of the equation to get rid of the "+1".
5x + 1 - 1 = 26 - 1
This simplifies to:
5x = 25
2. Next, we need to solve for x by getting rid of the coefficient 5. We do this by dividing both sides of the equation by 5:
5x / 5 = 25 / 5
This simplifies further to:
x = 5
So the number we were looking for is 5.
To summarize, if 1 more than 5 times a number is 26, then the number is 5.
Complete the statement. Round to the nearest hundredth if necessary. 13 km = _ mi?
Answer: 8.08
Step-by-step explanation:
Simply know that 1 kilometer is about 0.62 miles, then multiply thay by 8.
Please help!! Will give Brainliest
Answer:
86 square inches
86 in^2
Step-by-step explanation:
Base: 3 × 10 = 30
Rectangle Sides: 2.5 × 10 = 25 (×2 = 50)
Triangle Sides: 2 × 3 = 6 (÷2 ×2 = 6)
Add: 30 + 50 + 6 = 86
Which of the following values are not in the range of the function f(x)=x^2?
Step-by-step explanation:
Provide the values...........
What is the answer to x+4=4x-17
Answer:
x=7
Step-by-step explanation:
x+4=4x-17
4=3x-17
21=3x
x=7
Write the standard form of the equation of an exponential function Y equals 10^xthat has been reflected over the X axis shifted write three and down five
Answer:
[tex]y = - {10}^{x - 3} - 5[/tex]
Step-by-step explanation:
The parent exponential function given to us is
[tex]y = f(x)= {10}^{x} [/tex]
If this function is reflected over the x-axis, shifted right 3 units and down 5 units, then it becomes:
[tex]y = g(x) = - f(x - 3) - 5[/tex]
This implies that:
[tex]y = g(x) = - {10}^{x - 3} - 5[/tex]
where the negative multplier indicates reflection over x-axis, x-3, indicates shift to the right 3 units, and -5 indicates downward shift 5 units
A printer is printing photos, for every 6 photos, the printer takes 2 minutes
In the figure shown, which pair of angles must be complementary?
Answer:
s and p
Step-by-step explanation:
s and p
there is a right angle side shown
so s and p are complementary
right angle triangle =90°
so angle √sqp
Answer:
PQT & SQT
Step-by-step explanation:
PQT and SQT
Because they should add up to 90
What is an equation of the line that passes through the point (7, -7) and is perpendidular to the line x - 2y = 2?
Answer:
y= -2x +7
Step-by-step explanation:
Please see attached picture for full solution.
A manufacturer uses 3/4 yard of fabric to make each skirt. How many yards of fabric will the manufacturer use to make 4 skirts ? 7 skirts ? 9 skirts
Answer:
3 yards,5.25 yard,6.75 yards
Step-by-step explanation:
Given,
Each skirt required 3/4 yards fabric
Solution,
1 skirt required fabric =3/4 yards
4 skirts required fabric=4×3/4 yards=3 yards
7 skirts required fabric =7×3/4 yards=21/4 yards=5.25 yards
9 skirts required fabric=9×3/4 yards=27/4 yards=6.75 yards
To find out how many yards of fabric will be used, multiply the number of skirts by the amount of fabric needed for each skirt. For 4 skirts, 3 yards of fabric will be used. For 7 skirts, 5.25 yards will be used. For 9 skirts, 6.75 yards will be used.
Explanation:To find out how many yards of fabric will be used to make a certain number of skirts, we can multiply the number of skirts by the amount of fabric needed for each skirt. In this case, 3/4 yard of fabric is needed for each skirt.
So, to find out how many yards of fabric will be used to make 4 skirts, we can multiply 4 by 3/4:
4 x 3/4 = 12/4 = 3 yards.
To find out how many yards of fabric will be used to make 7 skirts, we can multiply 7 by 3/4:
7 x 3/4 = 21/4 = 5.25 yards.
To find out how many yards of fabric will be used to make 9 skirts, we can multiply 9 by 3/4:
9 x 3/4 = 27/4 = 6.75 yards.
What is the 12th term of the geometric sequence
-4, -12, -36
Answer:
-708,588
Step-by-step explanation:
If you continue the sequence by multiplying each term by 3, you will eventually get -708,588 as the 12th term.
Edwin fills 15 test tubes with a solution. Each test tube contains 150 milliliters of solution.
How many liters of solution in all is there in the test tubes?
A.2.25 L
B.22.5 L
C.225 L
D.2,250 L
Step-by-step explanation:
do 150ml*15 tubes is 2,250 ml
2,250/1000 is 2.25L (1L =1000ml is multiply by 1000)
There is 2.25 liter of solution in all tubes.
Edwin fills 15 test tubes.
Each test tube contains 150 millilitres of solution We have to find How many liters of solution in all is there in the test tubes
There are 15 tubes contain 150 milometers of solution
What is the condition for 15 tubes contain 150 milometers of solution?150ml × 15 tubes
Therefore we get,
[tex]150ml*15 tubes =2,250 ml[/tex]
we have convert 2250 ml into l
We know that
1L =1000ml
so divide 2250 by 1000 we will get,
[tex]2,250/1000 =2.25L[/tex]
Therefore there is 2.25 liter of solution in all tubes
To learn more about the unit conversion visit:
https://brainly.com/question/13016491
Help memory withmthiss
nate is curious to learn how much elephants eat compared to the largest animal on Earth, the blue whale. He does some research and finda that a full-grown whatle eats about 1460000 pounds of krill per year Write and solve an equation
Answer:1460000 + X
Step-by-step explanation:
Answer:
y = 1.46 * 10⁶ x
Step-by-step explanation:
We can write the following equation:
Let x to represent the number of blue whales and,
let y to represent the total krill eaten by x blue whales per year
1'460,000 = 1.46 * 10⁶
y = 1.46 * 10⁶ x
can someone please solve the problem is in the picture
Answer:
Y-intercept=6
Multiplier =3
Equation y=3x+6
Step-by-step explanation:
We can find the slope of the line by
Slope=m= (y2-y1)/(x2-x1)
m=(6-3)/(0-(-1))=3
And using point slope formula of equation of straight line
Y-Y1=m(X-X1)
Taking any point on line
Y-3=3(X-(-1))
Y-3=3X+3
y=3x+6
y=3(x+2)
URGENT 10 POINTS
Mrs. Jones recorded the time, in minutes, she spends reading each day for two weeks. The results are shown. What is the IQR for each week?
Week 1 Week 2
81 50 63 58 39 72 104 62 54 110 72 68 34 79
A.
The IQR for Week 1 is 65, and the IQR for Week 2 is 76.
B.
The IQR for Week 1 is 63, and the IQR for Week 2 is 68.
C.
The IQR for Week 1 is 50, and the IQR for Week 2 is 54.
D.
The IQR for Week 1 is 31, and the IQR for Week 2 is 25.
Answer:D.
The IQR for Week 1 is 31, and the IQR for Week 2 is 25.
Step-by-step explanation:
Answer:
D.
The IQR for Week 1 is 31, and the IQR for Week 2 is 25.
please help ty! I added extra points.
Hillary and Charlene both drove from City A to City B. At 10 a.m., Hillary left City A and drove at an average speed of 120 km/h. Charlene drove at an average speed of 144 km/h and took 50 minutes. She arrived at City B at the same time as Hillary. Find the time Charlene left City A.
Solution:
Given that,
At 10 a.m., Hillary left City A and drove at an average speed of 120 km/h
Charlene drove at an average speed of 144 km/h and took 50 minutes.
She arrived at City B at the same time as Hillary
Their distance is same
Find the ratio of speed
120 : 144
Reduce to lowest term
Hillary : charlne = 5 : 6
Find the ratio of time:
Since, speed and time are inversely propotional
Hillary : charlne = 6 : 5
Let time taken by Hiliary be 6t
Let time taken by charlene be 5t
Given that, Charlene took 50 minutes
Therefore,
5t = 50
t = 10
Thus,
time taken by Hiliary = 6t = 6(10) = 60
Thus hiliary took 60 minutes to reach
Find the time Charlene left City A
At 10 a.m., Hillary left City A
Difference between both their time = 60 - 50 = 10 minutes
Thus, Hilairy left city A = 10 am + 10 minutes = 10 : 10 a.m
Thus, Hillary left city A at 10: 10 AM
If ABC ~ DEC, find the values of x and y. help me pleaseee!!!
Answer:
X = 8
Y = 35
Step-by-step explanation:
All you need to do to solve this problem is use the Pythagorean Theorem[tex](a^{2} +b^{2} =c^{2} )[/tex]
The leg of the triangle are A and B and C represents the hypotenuse. All you need to do is plug in the values into the equation and there u have it.
I have created an image for you to follow.
A computer randomly selects a number from the given set 1, 2, 5, 10, 25, 30, 36 what is the probability that an even number is selected enter your answer as a fraction in simplest form in the box
Answer:
4/7
Step-by-step explanation:
Because you have 7 numbers in the set, the denominator is seven. Because only four of the numbers are even, the nominator is 3.
Answer:
4/7
Step-by-step explanation:
Because you have 7 numbers in the set, the denominator is seven. Because only four of the numbers are even, the nominator is 3.