If f(x)=8x+2, find the inverse *
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To find the inverse first we need to solve the equation for x ,
Then put x instead of y .
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Let's do it...[tex]f(x) = 8x + 2[/tex]
[tex]y = 8x + 2[/tex]
[tex]8x + 2 = y[/tex]
Subtract sides 2
[tex]8x + 2 - 2 = y - 2[/tex]
[tex]8x = y - 2[/tex]
Divide sides by 8
[tex] \frac{8x}{8} = \frac{y - 2}{8} \\ [/tex]
[tex]x = \frac{y - 2}{8} \\ [/tex]
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Thus ;
[tex] {f}^{ - 1} (x) = \frac{x - 2}{8} \\ [/tex]
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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Input the equation of the given line.
The line including (4, 7) and (0, 7).
Answer:
[tex]y=7[/tex]
Step-by-step explanation:
First, let's use the two given points to find the slope. Remember the slope equation:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{7-7}{0-4}[/tex]
[tex]m=\frac{0}{-4}[/tex]
[tex]m=0[/tex]
If we're following slope-intercept form, what we have so far is
[tex]y=0x+b[/tex]
Substitute one of the given points for the [tex]x[/tex] and [tex]y[/tex] values in order to find [tex]b[/tex]:
[tex]7=0(4)+b[/tex]
[tex]7=b[/tex]
Now, if we put that back into our slope-intercept equation we get
[tex]y=0x+7[/tex]
or,
[tex]y=7[/tex]
Right off the bat, we can see how we ended up with this equation because both points have the same y-values. This indicates a horizontal line.
I hope this helps!
Solve 5x -9= 90 step explanation
Answer:
x = 19.8
Step-by-step explanation:
5x - 9 = 90
5x = 90 + 9
5x = 99
x = 19.8
Hope this helped!
Answer:
19.8
Step-by-step explanation:
5x-9=90
Cancel the 9 on both sides, so you get:
5x=90+9
5x=99
x= 19.8
Each day billy runs on a treadmill for 5 km and runs in the outdoor track for 6000 m in all how many meters does Billy run each day
Answer:
11000 meters
Step-by-step explanation:
1km=1000m
5km=5000m
5000+6000=11000m
A weightlifter holds a 1,300 N barbell 1 meter above the ground. One end of a 2-meter-long chain hangs from the center of the barbell. The chain has a total weight of 600 N. How much work (in J) is required to lift the barbell to a height of 2 m?
Answer: 1750J
Step-by-step explanation:
The work done that will be used to loft the barbell and the hanging chain will be:
W1 = (1300 + (1/2 × 600))
= 1300 + 300
= 1600J
The work done that'll be used in lifting the upper part of the chain will be:
W2 = (1/2 × 600) × (1/2 × 1).
= 300 × 0.5
= 150J
Total work down will be:
=W1 + W2
= 1600J + 150J
= 1750J
Evaluate the function for f(x) = x + 3 and g(x) = x2 – 2.
(f + g)(t – 5)
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[tex]f(x) = x + 3[/tex]
[tex]g(x) = {x}^{2} - 2[/tex]
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[tex](f + g)(x) = f(x) + g(x)[/tex]
[tex](f + g)(x) = (x + 3) + ({x}^{2} - 2 ) \\ [/tex]
[tex](f + g)(x) = {x}^{2} + x + 3 - 2[/tex]
[tex](f + g)(x) = {x}^{2} + x + 1[/tex]
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[tex](f + g)(t - 5) = ({t - 5})^{2} + (t - 5) + 1 \\ [/tex]
[tex](f + g)(t - 5) = {t}^{2} - 10t + 25 + t - 5 + 1 \\ [/tex]
Collect like terms
[tex](f + g)(t - 5) = {t}^{2} - 9t + 21 \\ [/tex]
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5 Carla packs 4 pairs of pants, 2 pairs of shorts, and 3 skirts for her vacation.
What is the ratio of skirts to pants? (1 point)
A 4:3
B 4:9
C 3:9
D 3:4
Curriculum Associates, LLC
SHOW YOUR WORK
Which angle is congruent to angle 3?
I would really appreciate it if someone could help and answer this problem:)
Answer:
Angle 6
Step-by-step explanation:
Angles on opposite ends are congruent if they are formed by the same two lines or in other words, if the two angles are vertical angles.
by mathematical induction 1.2²+2.3²+.....+n(n+1)(n+2)(3n+5)/12
Step-by-step explanation:
1.2+2.3+3.4+⋯+n(n+1)=∑k=1nk(k+1)
=∑k=1n(k2+k)
=∑k=1n(k2)+∑k=1n(k)
=n(n+1)(2n+1)6+n(n+1)2
=n(n+1)6(2n+1+3)
=n(n+1)6(2n+4)
=n(n+1)6[2(n+2)]
=n(n+1)(n+2)3
A disc jockey at a school dance has equal numbers of rock and pop songs that she randomly selects from. She designs a simulation to estimate the probability that the next three songs are all rock songs.
Which simulation design could she use to estimate the probability?
A. Number cube
Let 1,2,3,4 = rock
Let 5,6 = pop
Roll cube three times. Repeat.
B. Random Digits
Let 0,1,2,3 = rock
Let 4,5,6,7,8,9 = pop
Select three random digits. Repeat
C. Number cube
Let even number = rock
Let odd number = pop
Roll cube three times. Repeat
D. Number cube
Let 1 = rock
Let 2 = pop
Roll cube three times. Repeat
Answer:
number cube
let even number= country
let odd number= not country
roll cube three times. repeat.
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Step-by-step explanation:
a p e x :))
The simulation design could she use to estimate the probability is;
C. Number cube
Let even number = rock
Let odd number = pop
Roll cube three times. Repeat
Probability SimulationWe are told that school dance has equal numbers of rock and pop songs that she randomly selects.If she wants to estimate the probability that the next three songs are all rock songs, what she can do is to assign specific type of digits to each type of song.
For example she can say she wants rock song to be even numbers and pop sons to be represented by odd numbers.The reason why I used even and odd numbers is because we are told that there are equal number of POP and rocks songs and from 0 to 9, we have equal number of even and odd numbers.
Looking at the options, the only one that corresponds to our simulation is option C.
Read more about probability simulation at; https://brainly.com/question/10333446
the sum of (n + 8) + (n − 12)
Answer:
n+8+n-12=
simplyfiy=2n+20
Step-by-step explanation:
Ya'll just have to simplify the expression and add the like terms together. hope I helped
Find the value x?
(2x-10)degree
(3x +20)degree (STEP explanation)
Step-by-step explanation:
[tex]{:}\longrightarrow[/tex][tex]\sf 2x-10=3x+20 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 3x+20=2x-10[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 3x-2x=-10-20[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x=-30 [/tex]
Baby Victor wants to arrange 7 blocks in a row?How many different arrangements can the baby make?
Answer:
there are 5040 arrangements.
Step-by-step explanation:
i hope this works
BRAILLEST just help me answer
Answer:
Hello! What are the questions? You can type them in Comments and I will edit my answer :)
Step-by-step explanation:
Answer:
what are the questions I don't see any?
Step-by-step explanation:
Can you guys help me pls
What is the simplified value of the exponential expression 27}?
оооо
3
9
1/3
1/9
Note: Your exponential expression seems a little unclear. Because 27 is not an exponential expression.
But, I am assuming that your exponential expression is:
[tex]\:27^{\frac{1}{3}}[/tex]The reason is that my solution would still clear your concept about this topic, no matter what the question is.
Answer:
The simplified value of the exponential expression is:
[tex]27^{\frac{1}{3}}=3[/tex]
Step-by-step explanation:
Assuming the exponential expression
[tex]\:27^{\frac{1}{3}}[/tex]
[tex]\mathrm{Factor\:the\:number:\:}\:27=3^3[/tex]
[tex]=\left(3^3\right)^{\frac{1}{3}}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc},\:\quad \:a\ge 0[/tex]
[tex]\left(3^3\right)^{\frac{1}{3}}=3^{3\cdot \frac{1}{3}}[/tex]
[tex]=3^{3\cdot \frac{1}{3}}[/tex]
[tex]=3^1[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^1=a[/tex]
[tex]=3[/tex]
Therefore, the simplified value of the exponential expression is:
[tex]27^{\frac{1}{3}}=3[/tex]
show work and ill give u brainliest
Answer:
B. [tex]-2\frac{1}{2}[/tex]
Step-by-step explanation:
First you need to get the least common denominator of the left
-7 3/4 and 1/2 the LCD is 4 so...
(1/1) 3/4 = 3/4 (This doesn't have to change since the denominator is already 4)
(2/2) 1/2 = 2/4
Let's make -7 3/4 into an improper fraction = -31/4
Let's make -2 1/4 into an improper fraction = -9/4
Plug back in
-31/4 - 2w + 2/4 [tex]\leq[/tex] -9/4 (collect like terms)
-29/4 - 2w [tex]\leq[/tex] -9/4 (add 29/4 on both sides)
-2w = 5 (divide by -2)
w = -5/2 or -2 1/2
Hope this helps!!
Help ASAP WILL NSRK BRAINLIST IF CORRECT
Answer:
(1,1)
Step-by-step explanation:
Help me ASAP pls. it means the world to me
HELP!!!
What is the length of KL?
th
3x
Lx+6k
Answer:
KL =9cm
Step-by-step explanation:
IL = KL {being corresponding side of congruent triangle}
or, 3x = x+6
or, 3x-x = 6
or, 2x = 6
or, x = 6/2
or, x = 3cm
Now,
KL = x+6
= 3+6
=9cm
Which expression is equivalent to StartFraction b Superscript negative 2 Baseline Over a b Superscript negative 3 Baseline EndFraction? Assume a not-equals 0, b not-equals 0.
StartFraction a Over b Superscript 5 Baseline
StartFraction 1 Over a b Superscript 5 Baseline Endfraction
StartFraction a cubed b Over 1 EndFraction
StartFraction b Over a EndFraction
Answer:
D. [tex] = \frac{b}{a} [/tex]
Step-by-step explanation:
Given:
[tex] \frac{b^{-2}}{ab^{-3}} [/tex]
Required:
Assuming a ≠ 0, b ≠ 0, find the expression equivalent to the given expression.
SOLUTION:
[tex] \frac{b^{-2}}{ab^{-3}} [/tex]
Recall the exponent rule => [tex] \frac{x^{a}}{x^{b}} = x^{a - b} [/tex]
Applying the exponent rule, we would have:
[tex] \frac{b^{-2 -(-3)}}{a} [/tex]
[tex] = \frac{b^{-2 + 3}}{a} [/tex]
[tex] = \frac{b^{1}}{a} [/tex]
[tex] = \frac{b}{a} [/tex]
Thus, the equivalent expression of [tex] \frac{b^{-2}}{ab^{-3}} [/tex] = [tex] \frac{b}{a} [/tex]
Answer:
d
Step-by-step explanation:
Hey guys I have a hard time with these questions. Can someone explain it to me? :)
Answer:
Step-by-step explanation:
there are a couple ways to find slope
1. Rise over Run Method:
for this method, you use basic counting
to do this, you count the number of x spaces it takes the line to get from one y space to the next
for your line, the run is 3 because it takes 3 x spaces to get from one whole number to the next on the y spaces
you would say the rise is -1 because the line is going down, and it takes 3 x spaces to get the next pot that is on a y-axis increment
so we know the rise is -1 and the run is 3
if you put this into rise/run format, you get 1/-3
so -1/3 is you slope
2. Using the Coordinates
in this line, you see two points
the points are 1. (-1, -1), and 2. (2, -2)
using the coordinates means that you use a formula: [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
the y2 is the y value of the second coordinate (-2), the y1 is the y value of the first coordinate (-1)
the x2 is the x value of the second coordinate (2), the x1 is the x value of the first coordinate (-1)
if you plug these it you get: -2 - (-1) / 2 - (-1)
this can be simplified to -2 + 1 / 2 + 1
and simplified again to -1/3
Qhat ever method you use, you should get the same answer. Using both methods is a good way to check your work.
2(3x+4)=38
what is the answer
Answer:
x=5
Step-by-step explanation:
1. Distribute
2. Subtract 8 from both sides of the equation.
3. Simplify
4. Divide both sides of the equation by the same term
5. Simplify
6. Solution : = 5
Horizon Financial Inc. was organized on February 28. Projected selling and administrative expenses for each of the first three months of operations are as follows:
March $114,900
April 106,900
May 97,300
Depreciation, insurance, and property taxes represent $24,000 of the estimated monthly expenses. The annual insurance premium was paid on February 28, and property taxes for the year will be paid in June. 75% of the remainder of the expenses are expected to be paid in the month in which they are incurred, with the balance to be paid in the following month.
Prepare a schedule of cash payments for selling and administrative expenses for March, April, and May.
Answer:
Hey bro
Step-by-step explanation:
What is the sum of the first 10 terms of the sequence:
10,5, 0, -5, -10...
A. 100
B. -125
Answer:
-125
Step-by-step explanation:
Solve: look at the picture please
Answer:
No solution
I hope this helps!
What is the value of angle PDV
Answer:
9y+7=2y+98
7y+7=98
7y = 91
y = 13
m<PDV = 2y+98
= 2(13)+98
= 26+98
= 124
Which inequality has the graph shown below?
Oy > 2x – 3
O y < 2x - 3
oy > 2x - 3
O y < 3x + 1
Answer:
The answer is y < 2x -3
Step-by-step explanation:
You can read this as all values on the graph will be the value of x times 2 minus 3..
For example, if we wanted to know what the value of y would be if x =2, we would plug in 2 and get 2(2) - 3 or just 1. We can see at the graph that when x = 2 y does equal 1. **In this situation we are pretending that the < symbol is the equal symbol..
To actually find the answer you can graph each equation until you find it or do it this way:
1) Find the slope and determine if it it works for the given graph.
We can see that the slope of the given graph is positive and if we look closer we can see that the slope is 2 over and that we have a y-intercept of (0,-3).
2) We know that it is Option 2 instead of the first option because o the < sign. If it was option 1, then the shaded part of the graph would be on the other side of the line.
The inequality has the graph shown in the question. is to be considered as the y < 2x -3.
Calculation of an inequality function:Since
First determine the slope
So we can see that the slope of the given graph should be positive and then the slope should be 2 over and there is y-intercept of (0,-3).
So based on this, we can say that The inequality has the graph shown in the question. is to be considered as the y < 2x -3.
Learn more about y-intercept here: https://brainly.com/question/15587122
What is the determinant of? –18 –8 10 18
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[tex] \binom{ | - 18 \: \: \: \: \: - 8| }{ |10 \: \: \: \: \: \: \: \: \: \: \: \: \: \: 18| } = \\ [/tex]
[tex] - 18 \times18 - ( - 8 \times 10) = [/tex]
[tex] - 324 + 80 = - 244[/tex]
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Answer:
D
Step-by-step explanation:
Edge
A bicycle with 24-inch diameter wheels is traveling at 16 mi/h. Find the angular speed of the wheels in radians per minute. ___ radians per minute
How many revolutions per minute do the wheels make? (Round your answer to three decimal places.) ___ revolutions per minute
Answer:
a) 2211.6812281 rad/min
b) 352 rpm
Step-by-step explanation:
A bicycle with 24-inch diameter wheels is traveling at 16 mi/h. Find the angular speed of the wheels in radians per minute. ___ radians per minute
How many revolutions per minute do the wheels make? (Round your answer to three decimal places.) ___ revolutions per minute
truck with 24-in.-diameter wheels is traveling at 16 mi/h.
---------
1 mile per hour = 88 feet per minute
16 mi/hr = 1408ft/minute
----------
Each revolution = pi*d feet = 4pi feet
(b) How many revolutions per minute do the wheels make?
rev/min
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Each revolution = pi*d feet = 4pi feet
rpm = 1408 ft/min / 4pi feet
=~ 352 rpm
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(a) Find the angular speed of the wheels in rad/min.
rad/min
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rad/min = rpm*2*pi
= 352 rpm × 2× π
= 2211.6812281 rad/min
So, the wheels make [tex]224.20 \ rev/min[/tex].
Angular Sped:
Angular speed measures how fast the central angle of a rotating body changes with respect to time. It is expressed as,
[tex]\omega=\frac{\theta}{t}[/tex]
Given that:
Diameter[tex]=24 \ in[/tex]
Radius[tex]=12 \ in[/tex]
First, we have to find the angular speed([tex]\omega[/tex]):
We use the formula,
[tex]v=\omega r[/tex]
Substituting,
[tex]16 \ mi/hr=\omega \times 12 \ in[/tex] ([tex]\therefore[/tex] [tex]1mile=63360inches, \ and \ 1hour=60min[/tex])
[tex]=\frac{16 \ mi\times \left ( 63360 \ in/mi \right )}{\left ( 1 \ hr\times 60 \ min/hr \right )}[/tex]
[tex]=\omega \times 12 \ in[/tex]
[tex]\Rightarrow 15840 \ in/min=\omega \times 12 \ in[/tex]
[tex]\omega =16896/12\\w=1408 \ rad/min[/tex]
Now, we have to find rev/min:
([tex]\therefore \ 1 \ revolution=2\pi[/tex])
Thus,
[tex]1408 \ rad/min\times1 \ rev/2\pi \ rad=224.20 \ rev/min[/tex]..
Learn more about the topic Angular Speed: https://brainly.com/question/25648667