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Bond [772]
3 years ago
7

Please help me find x and y for this problem plz

Mathematics
1 answer:
ladessa [460]3 years ago
3 0

Answer:

x = 8 and y = -1.

Step-by-step explanation:

b^x / b^y = b^9

By the law of indices:-

b^(x - y) = b^9

therefore x - y = 9..........(1) . Also:

(b^x * b^2) / b^3y = b^13

b^(x + 2) / b^3y = b^13

b^(x + 2 - 3y) = b^13

Therefore x + 2 - 3y = 13.........(2)

From equation (1)  y = x - 9 so substituting in equation 2:

x + 2 - 3(x - 9) = 13

x + 2 - 3x + 27 = 13

-2x = 13 - 2 - 27 = -16

x = 8

and from equation (1) y = 8-9 = -1

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A dolphin jumps from the water at an initial velocity of 16 feet per second. The equation h + -16t^2 + 80t models the dolphin's
Dominik [7]

Answer:

100feet

Step-by-step explanation:

Given the height reached by a dolphin expressed by the equation is h = -16t^2 + 80t. At maximum height, the velocity is zero, hence;

v(t) = dh/dt = -32t + 80

0 = -32t + 80

32t = 80

t = 80/32

t = 2.5secs

Substitute t = 2.5 into the height formula h = -16t^2 + 80t

h = -16(2.5)^2 + 80(2.5)

h = -100+200

h = 100feet

Hence  the maximum height the dolphin jumps is 100feet

3 0
3 years ago
2+2=?<br> i need help i don't know the answer
Dmitriy789 [7]

Step-by-step explanation: First you put two pencil then add another two pencil. Now how much do you have in total, the answer is 4.

7 0
4 years ago
Read 2 more answers
A recipe for cookies called for 2/3 of a cup of sugar per batch.Elena used 5 1/3 cups of sugar to make multiple batches of cooki
Nookie1986 [14]

Answer: 8 batches

explanation: 5 1/3 divided by 2/3 equals 8. To find out how many batches were made, you need to divide the total amount used by the amount needed for one batch.

5 0
3 years ago
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Real numbers are ____ integers<br> OPTION A: Always<br> OPTION B: Sometimes<br> OPTION C: Never
Svetlanka [38]

Answer:

B

Step-by-step explanation:

8 0
3 years ago
3,486÷ 2=n<br>please show work so I can understand it ​
TEA [102]

Hello!

3,486 / 2 = n

n = 1743

work:

you simply divide 3,486 by 2

if you divide each number by two (right to left)

6 / 2 = 3

8 / 2 = 4

4 / 2 = 2

3 / 2 = 1.5

since there is a decimal in this, multiply it by 10 and add it to the number before. this number will go on the right side of the total

1.5 * 10 =15

15 + 2 = 17

17 4 3 are the final numbers in order. put them together and you have 1743

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<u>(this is my personal way of doing it, but there are plenty more ways to do it)</u>

I hope this helps, and have a nice day!

8 0
4 years ago
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