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3 years ago

If (8z − 9)(8z + 9) = az2 − b, what is the value of a? (5 points)

1 answer:

3 0

The question is looking for the coefficient to the first term after multiplying the two sets of parentheses together.

=(8z − 9)(8z + 9)
using the FOIL method, multiply the first, outside, inside, then last terms

=(8z*8z) + (8z*9) + (-9*8z) + (-9*9)
=64z^2 + 72z - 72z - 81
the middle two terms cancel each other (72-72= 0)
=64z^2 - 81

ANSWER: The value of a is 64

Hope this helps! :)

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HELP !!!!!!!!!!!!!!!!!!

4vir4ik [10]

Answer:

answer is C ( $3^{4}$ )

Step-by-step explanation:

so here is how you do it.

first you need to find out what $3^{8}$ is

which is the same as 3 X 3 X 3 X 3 X 3 X 3 X 3 X 3

the answer to that is 6,561

then you have to square root that

which looks like this

$\sqrt{6,561}$

which is 81

which means that you have to find the same expression that equals to 81

I then did $3^{4}$ (C) to see if the answer will be 81 and it is. so your answer is C

3 0

3 years ago

Jane works at The Bottling Company. She needs to put 8,500 bottles of water into cases. So far she has put 2,136 in cases. How m

tiny-mole [99]

Answer:

Jane can fill 6364 cases with the remaining 6364 bottles.

Step-by-step explanation:

Total number of bottles Jane need to put = 8500 bottles.

Till the given time she put 2136 bottles.

Number of bottles left = Total number of bottles she need to put - total number of bottles she put till that time

Number of bottles left = 8500 - 2136

Number of bottles left = 6364 bottles.

Number of cases left must be equal to number of bottles left

So, Jane can fill 6364 cases with the remaining bottles.

Thus, Jane can fill 6364 cases with the remaining 6364 bottles.

8 0

4 years ago

the area of a rectangle is 42 square inches and one side is 12 inches long . find the perimeter of the rectangle

valentinak56 [21]

The area is one side times the other side
Make the other side x.
12x=42
x=42/12=3.5
The perimeter is 2x+2y where x and y are sides of the rectangle.
P= 2(3.5)+2(12)=7+24=31 inches
Hope this helps.

6 0

3 years ago

How would I answer this: How many minutes are in a 30-day month.... use vertical multiplication to get the right answer

cluponka [151]

Answer:

There are 43200 minutes in a 30-day month.

Step-by-step explanation:

We know that:

60 minutes = 1 hour

24 hours = 1 day

Thus to determine the minutes in a 30-day month, let us first determine the number of hours in the month.

x 24

_______

120

_______

720 hours

The 30-day month has a total of 720 hours.

So that the number of minutes that make up 720 hours can be determined by;

720

x 60

_______

000

4320

_______

43200

Therefore, there are 43200 minutes in a 30-day month.

3 0

3 years ago

Identify the function as a power function, a polynomial function, or neither. f(x)=4(x^3)^3

Alborosie

Answer:7

Step-by-step explanation:7

7 0

3 years ago