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hodyreva [135]
2 years ago
12

If f(x)=-3x+3, then f^-1 (x)=____ Please help

Mathematics
1 answer:
fgiga [73]2 years ago
6 0

Answer:

y = (-x/3) +1   or y = (-1/3 * x) + 1

Step-by-step explanation:

For the inverse of a function, you invert the y and x positions.

In your case:

y = -3x+3

The inverted function is:

x = -3y+3

When you solve this for y, you get:

-3y = x-3

y = -x/3 +1

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A truck can be rented from Company A for $60 a day plus $0.60 per mile . Company B charges $30 a day plus $0.90 per mile to rent
Mamont248 [21]

x = the number of miles

y = the total cost

Company A:

0.60x + 60 = y     [Company A charges $60 plus $0.60 per mile(x)]

Company B:

0.90x + 30 = y      [Company B charges $30 plus $0.90 per mile(x)]

To find the number of miles where the costs for both companies are the same, you can set the equations equal to each other as the costs(y) are the same:

y = y      Substitute the equations into "y" (substitute (0.60x + 60) and (0.90x + 30) into "y" since y = 0.60x + 60 and y = 0.90x + 30)

0.60x + 60 = 0.90x + 30   To find x, isolate/get the variable "x" by itself. Subtract 30 on both sides

0.60x + 60 - 30 = 0.90x + 30 - 30

0.60x + 30 = 0.90x      Subtract 0.60x on both sides to get "x" on one side of the equation

0.60x - 0.60x + 30 = 0.90x - 0.60x

30 = 0.30x      Divide 0.30 on both sides to get "x" by itself

100 = x     100 miles

(if you need to find out the cost where both companies cost the same, you can substitute/plug in the value of x into one of the equations.)

0.60x + 60 = y     Plug in 100 into "x" since x = 100

0.60(100) + 60 = y

120 = y        At 100 miles, both companies cost $120

8 0
3 years ago
What is 5.193 rounded to the nearest hundredth
saul85 [17]

Answer:

5.19

Step-by-step explanation:

3 rounds down to 0

5.190

5.19 is to the 100th

7 0
3 years ago
Read 2 more answers
In this triangle, the product of sin Band tan cis<br> and the product of sin cand tan is
Alborosie

Answer:

In this triangle, the product of sin B and tan C is c/a or cos B, and the product of sin C and tan B is b/a cos C. We determine these as follows:

sin B tan C = b/a (c/b) = c/a

sin C tan B = c/a (b/c) = b/a

Hope this answers the question. Have a nice day.

Step-by-step explanation:

DONT NOW AM NO SURE

8 0
3 years ago
Can someone please help a guy out? and ASAP. i'm really tired and i've been trying to get this done for months but i cannot unde
lorasvet [3.4K]

Answer:

1) On the x-axis, the arm span is plotted. On the y-axis, the height is plotted. It is chosen to be that way because the numbers on that have been assigned on the x-axis increase and decrease in a small amount, while the numbers on the y-axis increase and decrease in a huge amount.

2) (lolz i cant show u my work but i will try my best with explanations even tho ian allat.) So, Using the slope formula, I got a the equation y=x+15. The equation was determined with the formula m=y2-y1/x2-x1. The points that were used included (37,40) and (47,50). After finding the slope, I did the best guess for the y-intercept, which is known as b in y=mx+b.

3) The slope of the line represents the time it takes for the arm span and the height. The y-intercept represents the height that the arm span starts developing or gets bigger.

4) It fits perfectly

5) The data is pretty inconsistent.

6)  About 68-69 inches tall

7)About 71-72 inches wide

yeo u had my brain work after this

Step-by-step explanation:

4 0
3 years ago
Charlotte’s weekly paycheck is based on the number of hours worked during the week and on the weekend. If she works 13 hours dur
Schach [20]
X: earn per  hour during the week
y: earn per hour during the weekend

13x + 14y = 250.90
15x + 8y = 204.70

Multiply the first equation by 4 and the second equation by 7

52x + 56y = 1003.6
105x + 56y = 1432.90

Subtract the first equation from the second:

 53x = 429.30

x = 429.30/ 53
x = 8.10

Solve any of the equation for y:

15x + 8y = 204.70

y = [204.70 - 15(8.10)]/8 = 10.40

y - x = 10.40 -8.10 = 2.30

Answer: she earns $2.30 per hour more during the weekend than during the week.


8 0
3 years ago
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