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kap26 [50]
4 years ago
10

Marina correctly simplified the expression (-4a^-2 b^4)/(8a^-6b^-3) assuming that a does not equal 0 and b does not equal 0. Her

simplified expression is below.
-1/2a^4b^

The exponent of the variable b in Marina’s solution should be...
Mathematics
2 answers:
Elza [17]4 years ago
7 0
For this case we have the following expression:
 (-4a ^ -2 b ^ 4) / (8a ^ -6b ^ -3)
 We can rewrite the expression using properties of exponents.
 We have then:
 (-4/8) * ((a ^ (- 2 - (- 6))) (b ^ (4 - (- 3))))
 Rewriting we have:
 (-2/4) * ((a ^ (- 2 + 6)) (b ^ (4 + 3)))
 (-1/2) * ((a ^ 4) (b ^ 7))
 -1 / 2a ^ 4b ^ 7
 Answer:
 
The exponent of the variable b in Marina's solution should be 7
Artist 52 [7]4 years ago
4 0

Answer:

option d

Step-by-step explanation:

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What is the value of x?<br><br> x−16=8<br><br> Enter your answer in the box in simplest form
blagie [28]

Answer:

x = 24

Step-by-step explanation:

x - 16 = 8

Isolate the x

You can do this by adding 16 to each side.

x - 16 = 8

+16       +16

8 + 16= 24

x = 24

I hope I helped!

Let me know if you need anything else!  

~ Zoe

3 0
3 years ago
Read 2 more answers
If x2-y2 = 10 and x+y = 5, what is the value of x-y? 2-5?
netineya [11]

Answer:

x-y=2

I don't get why they are asking you what is 2-5. That seems super basic compared to the other question it is with. Since 5-2=3, then 2-5 or -5+2=-3.

Step-by-step explanation:

We are going to use identity x^2-y^2=(x-y)(x+y)

x^2-y^2=10

(x-y)(x+y)=10

(x-y)(5)=10

Since (2)(5)=10, this implies x-y=2.

8 0
3 years ago
The number of candies consumed varies inversely with the number of children present. When 12 children are present,140 pieces of
irinina [24]
Loosely, "varies inversely" means that as one quantity increases, the other decreases. Specifically, if x and y vary inversely, then y = k/x where k is some constant (a particular number).

Another way to write that relationship is xy = k.  To find the value of k for this problem, you need a numbers for x and y that go together.

Suppose x = number of children and y = number of candies (it doesn't matter what order these go in as long as you keep track!).

"When 12 children are present, 140 pieces of candy are consumed."  So when x = 12, the value of y = 140.

xy = k
(12)(140) = k
1680 = k

Now, when x = 8 children,

8y = 1680
y = 210

5 0
3 years ago
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A bag contains 9 marbles: 4 are green, 2 are red, and 3 are blue. Chris chooses a marble at random, and without putting it back,
Ivahew [28]

Answer:

1/12

Step-by-step explanation:

3/9 for the first

2/8 for the second

3/9= 1/3

2/8= 1/4

1/4 x 1/3= 1/12

4 0
3 years ago
I will give brainliest
Sauron [17]

Answer:

230°

Step-by-step explanation:

7 0
3 years ago
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