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MariettaO [177]
3 years ago
13

Help please!!!Greatly appreciated!

Mathematics
1 answer:
lukranit [14]3 years ago
7 0
U have to use fraction the answer would be 3:4
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Math help pls, thank you! show steps if needed
Papessa [141]

Answer:

6) y = x^(5/3)

7) B

8) C

10) A

Step-by-step explanation:

6) The fifth root is the same as raising to the 1/5 power, so we can write this in exponent form as:

f(x) = (x^(1/5))³

f(x) = x^(3/5)

To find the inverse, switch x and y and solve for y.

x = y^(3/5)

y = x^(5/3)

7) f(x) = 2√(x − 4) + 8

Switch the x and y and solve for y:

x = 2√(y − 4) + 8

x − 8 = 2√(y − 4)

(x − 8) / 2 = √(y − 4)

(x − 8)² / 4 = y − 4

(x² − 16x + 64) / 4 = y − 4

¼x² − 4x + 16 = y − 4

y = ¼x² − 4x + 20

8) Find the inverse:

x = 5√(y + 3) − 2

x + 2 = 5√(y + 3)

(x + 2) / 5 = √(y + 3)

(x + 2)² / 25 = y + 3

y = -3 + (x + 2)² / 25

The inverse function is an upwards parabola with a vertex at (-2, -3).  The best fit is C.

desmos.com/calculator/fbabg5wc8b

10) √(4x − 31) = x − 7

Square both sides:

4x − 31 = (x − 7)²

4x − 31 = x² − 14x + 49

Combine like terms:

0 = x² − 18x + 80

Factor:

0 = (x − 8) (x − 10)

x = 8 or 10

Check for extraneous solutions.

√(4×8 − 31) = 8 − 7

1 = 1

√(4×10 − 31) = 10 − 7

3 = 3

x = 8 and x = 10 are both solutions.

4 0
3 years ago
The speed of light is estimated at 186,000 miles per second rounded to the nearest thousand miles per second.
4vir4ik [10]

It was rounding to the nearest THOUSAND.

We are looking at the thousands place, keep that in mind.

Remember: everything 5 and above is rounded up, everything below 5 is rounded down.

186,789 is above 500, it is rounded to 187,000

186,899 is above 500, it is rounded to 187,000

185,990 is above 500, it is rounded to 186,000

and 185,190 is below 500, it is rounded to 185,000

Only one matches the criteria of the question:

185,990 is above 500, it is rounded to 186,000

therefore the answer is 185,990 miles per second


Have a fantastic day!


7 0
3 years ago
Solve for w.<br> 2w=12-4w<br> Simplify your answer as much as possible.
aev [14]
So we have an equation:
2w=12-4w
Firstly, let's simplify, and divide all terms by 2:
w=6-2w
Now, we add 2w over to the other side:
3w=6
And finally, we divide both sides by 3:
w=2
Hope this helps!
6 0
3 years ago
The square root of a number that is not a perfect square will need to be rounded to the nearest whole number.
mariarad [96]

Answer:

false because rounding it will not show the exact number

6 0
3 years ago
Read 2 more answers
HURRY PLZ
Oliga [24]

Answer:

6x + 2(−2x + 1) = 22

Step-by-step explanation:

6x + 2(−2x + 1) = 22

This step can be used to solve by substitution method.

8 0
3 years ago
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