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vazorg [7]
3 years ago
8

Mese questions are based on a 52

Mathematics
1 answer:
Mrrafil [7]3 years ago
5 0

Answer:1.) 6/52

Step-by-step explanation:

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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
Marci purchased the rug shown. To the nearest hundredth, what area of floor space will the rug cover? (π = 3.14)
quester [9]

Answer:

63.59

Step-by-step explanation:

5 0
3 years ago
What non-zero rational number must be placed in the square so that the simplified product of these two binomials is a binomial:
aleksandrvk [35]

The product would expand to

(7t-10)(5t+x)=35t^2+7tx-50t-10x=35t^2+(7x-50)t-10x

This is a trinomial, and the only way to make it a binomial is to cancel out a coefficient using our variable x.

So, we can cancel either the linear term or the constant term.

In the first case, we require

7x-50=0 \iff 7x=50 \iff x=\dfrac{50}{7}=\dfrac{49}{7}+\dfrac{1}{7}=7\dfrac{1}{7}

In the second case, we require

-10x=0\iff 10x=0 \iff x=0

But x must be a non-zero rational number, so this solution is not feasible.

7 0
3 years ago
Read 2 more answers
(Will give brainliest to correct answer.)
Alex73 [517]

The answer would be 15.

7 0
3 years ago
Read 2 more answers
I’ve a always been a visual learner so can someone’s help me out with this online math
Maurinko [17]

Answer:

Question 2:

If the size of bacteria is 2000 initially and doubles after every half hour

It means in the 1st 30 min its size is 2000

And in 60 min its

30min=2000

60min=?

60×2000=120000

120000÷30

=4000

And in 9hrs

1hr=60min

9hrs=?

60×9=540min

30min=2000

540min=?

2000×540

=1080000÷30

=360000

7 0
3 years ago
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