Answer:
[tex]f^-^1(x)=\frac{1}{3}x-\frac{5}{3}[/tex]
Step-by-step explanation:
To solve for the inverse, we need to switch the variables and solve for y.
Note that f(x) is the same as y or in other words, the output.
f(x) = 3x + 5
y = 3x + 5
~Switch variables
x = 3y + 5
~Subtract 5 to both sides
x - 5 = 3y
~Divide 3 to everything
1/3x - 5/3 = y
~Flip
y = 1/3x - 5/3
Best of Luck!
need help plzz answer
what is the absolute value of -3/5
Answer:
3/5
Step-by-step explanation:
absolute value is always positive
Kayty please help me!
What's the square root?
Answer:
Square root
Step-by-step explanation:
a number which produces a specified quantity when multiplied by itself
I
8. Classify 8 as a perfect square, a perfect cube, both, or neither.
Answer:
It's a perfect cube, but not a perfect square.
Step-by-step explanation:
2^3 = 8, meaning 8 is a perfect cube. But since 2^2 = 4 and 3^2 = 9, and 8 is in between, 8 is not a perfect square.
I hope this helped.
The slope of the line below is -8/7.
Answer:
A
Step-by-step explanation:
I don't understand why the answer is y=3x+1.
I got y =3x-6
please help me.
Answer: Answer is y= 3x+1
Step-by-step explanation:
Use point slope form y-y°=m(x-x°)
Find m, the slope: subtract the y values of the points, and divide that with the number you get when you subtract the x values of the points.
You should get m=3
Take either of the points, I’ll choose (0,1) because they are easy to use. Substitute 0 for x° and 1 for y°.
y-(1)=3(x-(0)) Substitute (0,1)
y-1=3x Simplify
y=3x+1 Add 1 to both sides and you’re done
6. 108 is how many times as large as 2. 103?
Answer:
54 times larger than 2
Step-by-step explanation:
108 divided by 2 is 54
2,000x + 6,000 = 3,500x - 39,000
A heap of grain is shaped as a cone ADCF with height 5 m and base radius 2 m, as shown on the diagram. A and C are points on the circumference of the circular base of the cone and = 120°. Find:
a. the angle between [A F] and the base of the cone
Answer:
The angle between [A_F] and the base of the cone = 68.2°
The area of the base of the cone ≈ 12.57 m²
Step-by-step explanation:
The given parameters are;
The height of the cone = 5 m
The base radius of the cone = 2 m
The angle which the A[tex]\hat O[/tex]C = 120°
Therefore, we have;
The angle between [A_F] and the base of the cone = The angle between [CF] and the base of the cone
The angle between [CF] and the base of the cone = tan⁻¹(5/2) = tan⁻¹(2.5) ≈ 68.2°
∴ The angle between [A_F] and the base of the cone = The angle between [CF] and the base of the cone = 68.2°
The angle between [A_F] and the base of the cone = 68.2°
The area of the base of the cone = π × r² = π × 2² = 4·π ≈ 12.57
The area of the base of the cone ≈ 12.57 m².
The 40-ft-long A-36 steel rails on a train track are laid with a small gap between them to allow for thermal expansion. Determine the required gap d so that the rails just touch one another when the temperature is increased from T1=-20F to T2=90F. Using this gap, what would be the axial force in the rails if the temperature rises to T3=110F? The cross-sectional area of each rail is 5.10 in2
Answer:
um hola
Step-by-step explanation:
Determine the zeros or roots of each function or equation. You can use the quadratic equation if you need to.
f(x)=-8x^2+2x+1
I NEED HELP ASAP
The equation y+6
- 5(x-9) is written in point-slope form. What is the equation written in slope-intercept form
Help please brainliest and 63 points!
And please answer correctly :)
Determine the horizontal asymptote for the rational function.
y = 5
y = −5
y = 1
y = −1
Answer:
y = 1
Step-by-step explanation:
horizontal asymptote
This is the value that the graph approaches but never reaches
It approaches 1 but never reaches 1
y = 1
Solution for y = 3x -1
The sales of a certain product after an initial release can be found by the equation s=10√5t+15 where s represents the total sales (in thousands) and t represents the time in weeks after release. about $78 about $415,000 about $78,000 about $415
Answer:
About $78
Step-by-step explanation:
The company is not complete. The question is to estimate the sales 8 weeks after release. To do that, we will substitute t = 8 into the modeled function s=10√5t+15
s = 10√5(8) + 15
s = 10√40 + 15
s =10(6.32)+15
s = 63.2+15
s = 78.2
Hence the sales after 8weeks is about $78.
Find the distance between the points (-3,7)
and
(6, 7).
Answer:
9
Step-by-step explanation:
use the distance formula:
[tex]\sqrt{(x2 -x1)^{2} + (y2-y1)^{2} }[/tex]
so, with your two points, x2=6, x1=-3, y2=7, and y1=7
so then just plug in the values
[tex]\sqrt{(6--3)^{2} + (7-7)^{2} }[/tex]
because you have 6 minus a negative number, it turns into 6+3, like shown
[tex]\sqrt{(6+3)^{2} + (7-7)^{2} }[/tex]
so then add and subtract the parenthesis
[tex]\sqrt{(9)^{2} + (0)^{2} }[/tex]
so then because 0 squared is just zero, you simply have the square root of 9 squared
[tex]\sqrt{9^{2} }[/tex]
so then square the 9
[tex]\sqrt{81}[/tex]
then take the square root of 81, and you get 9!
[note that when you have the square root of a squared number, it is just the number, so the square root of 9 squared is just 9, but if it helps, you can work it out like I did to show you :)]
The distance between the points (-3, 7) and (6, 7) is 9.
What is the distance between two points of a line?The distance between two points of a line is given as:
Distance = [tex]\sqrt{(c - a)^2 + (d - b)^2}[/tex]
Where (a, b) and (c, d) are the two points.
We have,
(-3, 7) = (a, b)
(6, 7) = (c , d)
Now,
Distance between these two points.
= [tex]\sqrt{(c - a)^2 + (d - b)^2}[/tex]
= √(6 + 3)² + (7 - 7)²
= √9²
= 9
Thus,
The distance between the points is 9.
Learn more about distance of a line here:
https://brainly.com/question/14645718
#SPJ2
Write an equation of the line passing through point$P(4,-6) that is perpendicular to the line y=-3 . x=
Answer:
x = 4
Step-by-step explanation:
y = - 3 is the equation of a horizontal line parallel to the x- axis.
A line perpendicular to it will therefore be a vertical line parallel to the y- axis with equation
x = c
where c is the value of the x- coordinates the line passes through.
The line passes through (4, - 6) with x- coordinate 4, thus
x = 4 ← equation of perpendicular line
There are 25 students in the class. 10 students have sports practice after school. What is the ratio of students that do have practice, to those that do NOT?
Answer:
10:15
Step-by-step explanation:
The line parallel to y = −x that passes through (5, 5.5). The equation of the line that passes through (5, 5.5) is y =
The line parallel to y = -x has the same slope, which is -1, because parallel lines have the same slope.
So you plug 5 and 5.5 into the equation y = -x + b.
5.5 = -5 + b
Add 5 to both sides.
10.5 = b
So, y = -x + 10.5
PLS HELP!! Lin ran 2 3/4 miles in 2/5 of an hour, Noah ran 8 2/3 miles in 4/3 of an hour, How long would it take Lin and Noah to run 1 mile at that rate? PLS ANSWER!!
Answer:
Lin will run 1 mile in 8/55 of an hour
Noah will run 1 mile in 2/13 of an hour
Step-by-step explanation:
Here;
Lin ran 2 3/4 miles in 2/5 of an hour
he will run 1 mile in x hour
x * 2 3/4 = 2/5 * 1
2 3/4 = 11/4
x * 11/4 = 2/5
x = 2/5 * 4/11
x = 8/55 hour
For Noah
8 2/3 miles in 4/3 of an hour
1 miles in y hours
y * 8 2/3 = 4/3 * 1
y * 26/3 = 4/3
y = 4/3 * 3/26
y = 4/26 = 2/13
He will run 1 mile in 2/13 hours
Look at the figure. Which of the following segments is not skew to
Ej?
Answer:
AE
Step-by-step explanation:
Because it intersects with EJ.
Whereas skew lines are those that do not inersect and not parallel with each other.
Hope it helps :)
Answer: AE
Step-by-step explanation:
the graph represents a function with the form f(x)=asin(bx+c) which values of a,b, and c are possible
Answer:B
Step-by-step explanation: edge 2020
The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
352, 345, 338, ...
Find the 37th term.
Answer:
09
Step-by-step explanation:
Please help me............
Answer: Answer: I’m not big brain
Step-by-step explanation:
Step-by-step explanation:
five and four hundred three thousandths in standard form
Answer:
5.403
Step-by-step explanation:
Five is 5. Four hundred three thousandths is .403. the 3 is in the thousandths the 4 is in the tenths and the 0 is in the hundredths, and the 5 is a whole number.
For 2 minutes, a satellite traveled at a steady speed. It traveled 380 kilometers around Earth in that time. What was the satellite's speed?
Answer: The satellites speed was 190 kilometers per minute.
Step-by-step explanation:
The formula for speed is calculated as:
Speed = Distance/Time
where,
Distance = 380 kilometers
Time = 2 minutes
Speed = Distance/Time
Speed = 380km/2min
Speed = 190km/min
The satellites speed was 190 kilometers per minute.
Therefore, the correct answer is C.
what mistake did they make?
Answer:
this is not a good angle cant see it that well
Step-by-step explanation:
Answer:
the mistake is that the person added 2x by-4x which should've been -2x
Step-by-step explanation:
-4x+2x is basically saying 2-4 which is -2
Which of the following statements cannot be assumed from the diagram?
Answer:
Can you give me any more context?
NEED HELP LOTS OF POINTS
Read the passage. Which statement best describes how Belle changes over the course of the story?
Riding a Bicycle
It was a bright Sunday morning when Belle woke up with the biggest smile on her face. She had been looking forward to this day for a long time. Her father was going to teach her to ride a bicycle. She dressed quickly and gulped down her breakfast.
After breakfast, Belle’s father showed her the different parts of a bike. Then he said he would hold onto the back of the bike while she peddled. But Belle’s excitement got the better of her. She said she wanted to try riding by herself. Her father let go. Belle quickly lost her balance and crashed to the ground. The fall dazed her. She grumpily agreed to let her father keep holding the bike while she rode.
Every once in a while, he would let go. The moment he did, Belle would lose her balance and topple over. Her father explained that this was perfectly normal. He said that all first-time riders fall. Even so, Belle’s mood darkened with each fall. After a while, she wanted to give up and return home.
Belle’s father tried to talk her out of quitting. He pointed toward some other children biking nearby. He showed her how happy they looked as they rode their bicycles. He told her she needed to keep trying. With a little more effort, she would soon enjoy riding just like the other children. His words gave Belle the determination to keep going.
After several more failed tries, Belle finally got the hang of it. She began gently peddling by herself, beaming with pride. She had finally done it! That night, she went to bed with a couple of bruises and cuts. But she had an even bigger smile on her face than she’d had in the morning. She would forever remember this day and the lesson she learned about never quitting.
A.
Belle starts showing more trust in her father as he teaches her how to ride a bike.
B.
Belle becomes less excited as the story goes on, until her excitement for bike riding disappears.
C.
Belle learns both how to ride a bike and how important it is not to give up.
D.
Belle gets hurt from falling off her bike, which scares her away from bike riding for good.
Max bought 16 gallons of gas for 40.64 Lydia bought 12 falls of gas for 31.08 kesia bought 18 gallons of gas for 45.72 who got the Best Buy