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Liula [17]
3 years ago
12

Find the inverse of the function. f-^1(x)= (x – 5)^3 + 1

Mathematics
1 answer:
Cloud [144]3 years ago
3 0

Answer:

Step-by-step explanation:

To find the inverse of function y=f(x), swap variables and then solve for the original variable.

y=(x-5)^3+1\\ \\ x=(y-5)^3+1\\ \\ x-1=(y-5)^3\\ \\ \sqrt[3]{x-1}=y-5\\ \\ y=\sqrt[3]{x-1}+5\\ \\ f^{-1}(x)=\sqrt[3]{x-1}+5

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Hello can anyone give me the step by step answer?
NISA [10]

Answer:

C

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 8, - 42 ) and (x₂, y₂ ) = (- 3, - 17 ) ← 2 ordered pairs from the table

m = \frac{-17-(-42)}{-3-(-8)} = \frac{-17+42}{-3+8} = \frac{25}{5} = 5

The line crosses the y- intercept at (0, - 2 ) , then

y = 5x - 2 → C

7 0
3 years ago
Read 2 more answers
Jonathan sold five times as many computers as Joe sold last year. In total,
Rom4ik [11]

Answer:

Step-by-step explanation:

Let the number of computers sold by Joe be represented by variable X

If Jonathan sold 5 times as many computers , it means he sold 5 times X= 5X

Total number of computers sold by both Jonathan and Joe = 78

Hence, X+5X =78

= 6X = 78

Divide both sides by 6 to solve for X;

X = 78/6

X = 13

And 5X = (5* 13) = 65

Therefore, Jonathan sold 65 computers while Joe sold 13

3 0
3 years ago
The sculpture consists of five identical prisms. JD says the surface area of the sculpture is 44 times the surface area of one p
larisa86 [58]
The complete question in the attached figure

we know that
(see the attached figure n 2 to understand the problem)
[the surface area of one prism]=2*[x*x]+2*[x*y]+2*[x*y]----> 2x²+4xy
[the surface area of the sculpture]=2*[5*x*y]+2*[3*x*x]+2*[3*x*y]--> 6x²+16xy

now
<span>JD says the surface area of the sculpture is 4 times the surface area of one prism
</span>[the surface area of the sculpture]=4*(2x²+4xy)---> 8x²+16xy

we compare the value that JD says with the real value
(8x²+16xy) > (6x²+16xy)
the value that JD says is <span>greater in comparison with the real value
</span>This is because <span>JD should also subtract the areas of eight hidden surfaces.

the answer is 
</span>JD should also subtract the areas of eight hidden surfaces<span>

</span>

4 0
3 years ago
In Sareena's neighborhood, the numbered streets run North and South, parallel to each other. Sareena lives on 12th Street. She w
lidiya [134]

Answer:

The number of blocks Serena walks from the school to the supermarket is  x × 5 blocks

Step-by-step explanation:

The question asks the number of blocks Serena walks from the school to the supermarket

The location of Serena's school is on the 14th street and the location of the super market is on the 9th street, therefore the number of blocks Serena walks from her school to the super market is given as follows;

Number of street between Serena's school and the super market = 14 - 9 = 5 streets

Number of blocks street each street = x blocks

Number of blocks Serena walks = x × 5 blocks.

3 0
3 years ago
A train leaves at 08:36 and arrives at 10:57. It travelled at an average speed of 85 km/h.
Nikitich [7]

Answer:

199.8 km to the 1 decimal point

Step-by-step explanation:

8:36 to 9:00 is 24 min

9:00 to 10:00 is 60 min

10:00 to 10:57 is 57 min

That's a total of 24 + 60 + 57 = 141 min = 141/60 hr.

d = rt = 141/60(85) = 199.8 km to the 1 decimal point

7 0
3 years ago
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