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erastovalidia [21]
4 years ago
15

Math help pls, thank you! show steps if needed

Mathematics
1 answer:
Papessa [141]4 years ago
4 0

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.

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Step-by-step explanation:

3,500×4×2/100= 280/100 = $2.80

3 0
3 years ago
If y = 3x squared + 4 find the value of y when x = 2
qaws [65]

Answer:

The value of y is 16.

Step-by-step explanation:

You have to substitute x = 2 into the equation :

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8 0
4 years ago
Read 2 more answers
The number of candies in bags of the same size is normally distributed with a mean of 145 candies and a standard deviation of 3
Virty [35]

Answer:

<u>The correct answer is A. 109</u>

Step-by-step explanation:

1. Let's review all the information given to answer the question correctly:

Mean of candies in bags = 145

Standard deviation = 3

Number of bags of candies on a shelf = 160

2. About how many bags of candies are expected to have between 142 candies and 148 candies?

Let's recall that in a normal distribution, the 68.2% of the sample or the population is between minus one and plus one time the standard deviation.

For our case, the 68.2% of the bags of candies are expected to have between minus one time the standard deviation (145 - 3) and plus one time the standard deviation (145 + 3).

<u>It means that 109 bags (0.682 * 160)  are expected to have between 142 and 148 candies. The correct answer is A. 109.</u>

6 0
3 years ago
Please help or explain?
FrozenT [24]

Answer:

112degrees

Step-by-step explanation:

Alternate angles form a 'Z' shape and are sometimes called 'Z angles'. a and b are adjacent angles. Adjacent angles add up to 180 degrees. ... These add up to 180 degrees (e and c are also interior).

6 0
3 years ago
Rectangle abcd is similar to rectangle pqrs given that ab =14cm bc =8cm and pq=12cm calculate the length of qr
ohaa [14]

Answer: 6.8571 (Round as needed)

Hope this is correct

Step-by-step explanation:

This is a simple ratio problem

Using the similarity statement we can say 14:12, (ab:pq)

That is our ratio.

So we do 14/12 = 8/x, we solve this using algebra to get our answer.

Hope this is correct.

7 0
3 years ago
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