The function f(x) = 9x +5 is one-to-one.
Find an equation for f-'(x), the inverse function.
Answer:
The inverse function is [tex]f^{-1}(x) = \frac{x - 5}{9}[/tex]
Step-by-step explanation:
Inverse function:
Suppose we have a one-to-one function y = f(x). To find it's inverse, we exchange y and x, and then isolate y.
In this question:
[tex]y = 9x + 5[/tex]
Exchanging x and y:
[tex]x = 9y + 5[/tex]
Isolating y:
[tex]9y = x - 5[/tex]
[tex]y = \frac{x - 5}{9}[/tex]
[tex]f^{-1}(x) = \frac{x - 5}{9}[/tex]
The inverse function is [tex]f^{-1}(x) = \frac{x - 5}{9}[/tex]
Which ordered pair is a solution of the linear system: x+2y=-8 and
-4x+y=5? *
O A. (-2-3)
OB.(2-3)
C. (-3,-2)
D. (-1,0)
HELP ASAPPPPPP
Answer:
option A
A(-2,-3)
Step-by-step explanation:
make y subject of formula
x+2y=-8
2y=-8-x
y=(-8-x)/2
y=-4-x/2
when x=-2
y=-4-(-2)/2
=-4-(-1)
=-4+1
=-3
(-2,-3) is an ordered pair
what is the volume of this shape?
Answer:
84,000 cm³
Step-by-step explanation:
This is a prism with a trapezoidal base.
V = BH
where V = volume of prism, B = area of the base, H = height of the prism
For the trapezoid, the area is
A = ½(b1 + b2)h,
where A = area, b1 and b2 are the bases, and h is the height of the trapezoid.
V = ½(b1 + b2)hH
V = ½(60 cm + 45 cm) (20 cm)(80 cm)
V = 84,000 cm³
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Answer:
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Step-by-step explanation:
please help !! i’ll give 5 stars if help.
Answer:
true
Step-by-step explanation:
there are two x-intercepts
Bella invested $8,400 in an account paying an interest rate of 1.9% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $9890?
Answer:
8.6 years
Step-by-step explanation:
State that the triangles in each pair of similar. If so, complete the similarity statement, and find the scale factor for each one. (you may go either direction). NO LINKS!!! Part 1
9514 1404 393
Answer:
ΔLMN ~ ΔLFG; scale factor 7/3
Step-by-step explanation:
The ratios of side lengths, shortest to longest are ...
FG : GL : LF = 24 : 36 : 42 = 4 : 6 : 7 (reduced)
MN : NL : LM = 56 : 84 : 98 = 4 : 6 : 7 (reduced)
The side ratios are the same, so ΔLMN ~ ΔLFG. The scale factor is ...
MN/FG = 56/24 = 7/3
Answer:
State that the triangles in each pair of similar. If so, complete the similarity statement, and find the scale factor for each one. (you may go either direction). NO LINKS!!! Part 1
Formula to find commission
A commission is a percentage of total sales,
multiply the rate of commission by the total sales
Another name for a hexahedron is O A. cube O B. cylinder O C. pyramid O D. equilateral triangle
A study finds that 80% of the local high school students text while doing homework. Ten students are selected at random from the local high
school. Which expression would be part of the process used to determine the probability that, at most, 7 of the 10 students text while doing homework?
Answer:
Step-by-step explanation:
PLS HELP!!!!!!!!!!!!!
Write the recursive rule for the sequence: 5, -10, 20, -40, 80
Answer:
We observe that this is a GP with:
the first term t₁ = 5common ratio r = -2The nth term is:
tₙ = t₁rⁿ⁻¹tₙ = 5(-2)ⁿ⁻¹Find two numbers a and b whose sum a+b is -3 and whose difference a−b is -5
Answer:
A=-4, b=1
Step-by-step explanation:
add those two function together u will got:
a+b+(a-b)=-3+(-5)
2a=-8
A=-4
-4+b=-3
B=1
Which list shows all the factors of 36?
1, 2, 3, 4, 6, 9, 12, 18, 36
1, 2, 3, 4, 8, 9, 12, 18, 36
2,3, 4, 6, 9, 12, 18
2, 4, 6, 8, 9, 12, 18
Answer:
Step-by-step explanation:
1,2,3,4,6,9,12,18,36
The Sine Function
According to the National Weather Service, the average monthly high temperature in the Dallas/Fort Worth, Texas area from the years of 2006-2008 is given by the following table:
Plot the data on a scatter plot., Produce a sine regression model for the data. Round the values for a, b, c, and d to the nearest 0.0001.
a. y = 67.577 sin(0.500 x - 1.959) + 20.077
b. y = 20.077 sin(0.500 x - 1.959) + 67.577
c. y = 20.077 sin (1.959 x - 0.500) + 67.577
d. y = 20.077 sin (67.577 x -1.959) + 0.500
Please select the best answer from the choices provided
Answer:
B. y = 20.077 sin(0.500 x - 1.959) + 67.577
Step-by-step explanation:
I calculated logically
How do I deposit more money into my bank account
When you deposit cash at a bank or credit union, you typically need to use a deposit slip. That's simply a slip of paper that tells the teller where to put the money. Write your name and account number on the deposit slip (deposit slips are usually available at the lobby or drive-throug).
The average amount of ozone in several cities across Pennsylvania was found in a study to correlate with the average number of asthma cases in those cities. What type of study was this
Answer:
Ecological study
Step-by-step explanation:
When the basis for the conclusion of a study is done an a group or population level rather than on a person, single or individual basis, then we refer to this as an ecological study. In the scenario described above, relationship between ozone in Pennsylvania and the number of asthma cases was generalized and presented on the mean or average level rather than being compared in terms of individual figure. Hence, research studies of this type or nature are classed as ecological study.
Simplify −6+13x−7−16x
Jose earns 954 per hour at his job he worked 18 hours last week calculate Jose's pay before taxes
Answer:
$171.72
Step-by-step explanation:
$9.54 x 18
Ryan bought a new phone case that was originally $80, it is now on sale for $60. What was the percentage change?
Answer: 25% decrease
Step-by-step explanation:
80 - 60
----------- = 20/80 = 1/4 OR 25%
80
Hope this helped :)
find the surface area of each figure (spheres and hemispheres)
Answer:
7. 1520.53 cm²
8. 232.35 ft²
9. 706.86 m²
10. 4,156.32 mm²
11. 780.46 m²
12. 1,847.25 mi²
Step-by-step explanation:
Recall:
Surface area of sphere = 4πr²
Surface area of hemisphere = 2πr² + πr²
7. r = 11 cm
Plug in the value into the appropriate formula
Surface area of the sphere = 4*π*11² = 1520.53 cm² (nearest tenth)
8. r = ½(8.6) = 4.3 ft
Plug in the value into the appropriate formula
Surface area of the sphere = 4*π*4.3² = 232.35 ft² (nearest tenth)
9. r = ½(15) = 7.5 m
Surface area of the sphere = 4*π*7.5² = 706.86 m² (nearest tenth)
10. r = ½(42) = 21 mm
Plug in the value into the formula
Surface area of hemisphere = 2*π*21² + π*21² = 2,770.88 + 1,385.44
= 4,156.32 mm²
11. r = 9.1 m
Plug in the value into the formula
Surface area of hemisphere = 2*π*9.1² + π*9.1² = 520.31 + 260.15
= 780.46 m²
12. r = 14 mi
Plug in the value into the formula
Surface area of hemisphere = 2*π*14² + π*14² = 1,231.50 + 615.75
= 1,847.25 mi²
PLEASE HELP
log (5x – 10) = log (6 – 5x)
Answer: look at the picture
Step-by-step explanation: Hope this help :D, Can I have a Brainliest I really needed it please
Abby scored 87, 93, 96, and 89 on her first four history quizzes. What score does
Abby need to get on her fifth quiz to have an average of exactly 91 on her history
quizzes?
Answer:
73
Explanation
To find the average we need to find the mean. So you have
87,93,96, and 89. Add it up and you get 365. Next you have to divide it by how many numbers there are, so 365 divided by 5 and you get 73.
(I divided 365 by 5 because we are looking for the score she needs on the 5th quiz too.)
Please Help Me!
*Question Is Below Here*
Answer:
21
Step-by-step explanation:
2^3=8
7x6=42
42x8=336
336/ (10.6+5.4)
336/ 16= 21
Answer 21
Franz must buy a minimum of $25 of art supplies to qualify for free shipping. He bought an easel for $15. He also bought 10 tubes of paint that all costs the same amount. *
Answer:
if each tube of paints costs a dollar he will get 25 because of the 15 dollars added to the 10 dollars
Step-by-step explanation:
hope this helps
The ages of undergraduate students in a state in a particular year approximately follows a normal distribution, with a mean
age of 20.6 years and a standard deviation of 1.3 years.
If the total number of undergraduate students in the state is 430,000, how many students are aged 19 years or more?
A)
123,000
B)
223,000
C)
313,000
D)
383,000
plzzzzzzzz help for a brainly
Answer:
50
Step-by-step explanation:
50+40=90 and that's what you need
Answer:
50
Step-by-step explanation:
it's a right triangle so it has to equal 90 and since there is a 40 you will need 50 to equal 90
Plz help this is due today NO LINKS OR GROSS PICTURES OR I Will REPORT And please show work
Answer:
the volume is 120
Step-by-step explanation:
the formula for volume with length times width times height. Just multiply 3 x 5 x 8
What is mJH
mJH = degrees
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tWhat is the value of x help please
Answer:
110 degrees
Step-by-step explanation:
the answer is 110 degrees
add up everything and subtract it by 360 to get 110.
plz dont report. Can I have brainliest. I need it.
Answer:
we will add all the sides
40+128+×+82=360
250+×=360
×=360-250
x=110
part 1. Use side ratios to determine if the triangles in each pair of similar. If so complete the similarity statement. NO LINKS!!!
9514 1404 393
Answer:
4) ΔEFG ~ ΔECD
6) Not Similar
Step-by-step explanation:
4) Shortest to longest sides are ...
EF : FG : GE = 14 : 16 : 20 = 7 : 8 : 10 (reduced)
EC : CD : DE = 7 : 8 : 10
The triangles have the same side length ratios, so are similar.
ΔEFT ~ ΔECD
__
6) Shortest to longest, the given sides have ratios ...
UT : TV = 71 : 84 (reduced)
GT : TH = 60 : 72 = 5 : 6 (reduced)
The side ratios are different, so the triangles are NOT SIMILAR.
Answer:
part 1. Use side ratios to determine if the triangles in each pair of similar. If so complete the similarity statement. NO LINKS!!!