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Helga [31]
3 years ago
6

G(X)= 6X - 3 What is g-1 (9)

Mathematics
1 answer:
harkovskaia [24]3 years ago
6 0
G(X)=6X-3
Y=6X-3
X=6Y-3
X+3=6Y
Y=(X+3)/6
G^-1(9)=(X+3)/6
G^-1(9)=(9+3)/6
G^-1(9)=2
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The difference between 4/9 of a number and 7 is 5
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first what quantities do we need to talk about?

the problem speaks of “a number”, let’s call that number x.

now write the equation that relates x to the other numbers we know.

the first clue is the word “difference”.

this means “subtraction”, but we need to subtract something from something else.

what are the two somethings? ”a number times 7” and “4”.

so, since we have a name for “a number”, let’s translate this as x*7 - 4 what else do we know?

it says the difference is 9. So complete the equation x*7 - 4 = 9 if we rewrite this cosmetically, 7x - 4 = 9

i assume that you know how to solve this for x.

so then wehn solving 7x - 4 =9 we take -4 change it to +4 so then +9 we go and get 13

7x = 13

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Answer:

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Vitek1552 [10]

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Find the sum of the first 5 terms of the series.<br> 7 - 14 + 28 - 56+...
almond37 [142]

Answer:

<u>The sum of the first 5 terms of the series is 77.</u>

Step-by-step explanation:

1. Let's review the information provided to us for solving the sum of the first 5 terms of the series:

1st term = 7

2nd term = - 14

3rd term = 28

4th term = - 56

2. Let's solve the sum of the first 5 terms of the series:

Aₙ = Aₙ₋₁ * -2 ; A₁ = 7

A₁ = 7

A₂ = A₁ * -2 = 7 * - 2 = - 14

A₃ = A₂ * - 2 = -14 * - 2 = 28

A₄ = A₃ * - 2 = 28 * - 2 = - 56

A₅ = A₄ * - 2 = -56 * - 2 = 112

Sum of the first 5 terms of the series = 7 - 14 + 28 - 56 + 112

<u>Sum of the first 5 terms of the series = 77</u>

8 0
3 years ago
Owen runs a pet store that sells rabbits. He wants to ensure he has more than 1 pound of dry food for every four rabbits he has
Lana71 [14]

Answer:

B) Owen can have a maximum of 22 rabbits in the store.

Step-by-step explanation:

Consider:

"He wants to ensure he has more than 1 pound of dry food for every four rabbits he has in the store."

It means, at least 0.25 pounds per rabbit. (1 pound divided by four)

"He currently has 5.7 pounds of dry food."

Inequality (r is the number of rabbits):

5.7\leq  0.25r\\22.8\leq r

According to the inequality, he can only have a maximum of 22 rabbits.

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