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Brrunno [24]
3 years ago
8

Given the equation

Mathematics
2 answers:
gizmo_the_mogwai [7]3 years ago
6 0

Answer:

Y=2x+5

Step-by-step explanation:

Move the variable (x) to the right

2y= 10-4x

divide both sides of the equation by 2

y=5-2x

and then reorder the terms

y=-2x+5

:)

Maurinko [17]3 years ago
3 0

Answer:

y=-2x+5

Step-by-step explanation:

hope i helped

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jasmine took four 20 points quizzes in her math class. if her scores were,18,15,20,15, what was her mean quiz score
g100num [7]

Answer: 17

Step-by-step explanation: ok so first to find the mean you add all the numbers then divide by how many numbers there is so basically 18 plus 15 plus 20 plus 15 then divide by 4 because there is 4 numbers and once you do that it is 17

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Step-by-step explanation:

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Which equation are true for x=-2 and x=2 check all that apply
ki77a [65]
1 it is true
{x}^{2} - 4 = 0 \\ {x}^{2} = + 4 \\ x = \sqrt{4} = 2
2 it's not true
{x}^{2} = - 4
3 it's not true
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Show that 3 · 4^n + 51 is divisible by 3 and 9 for all positive integers n.​
Leni [432]

Answer:

To prove that 3·4ⁿ + 51 is divisible by 3 and 9, we have;

3·4ⁿ is divisible by 3 and 51 is divisible by 3

Where we have;

S_{(n)} =  3·4ⁿ + 51

S_{(n+1)} = 3·4ⁿ⁺¹ + 51

S_{(n+1)} - S_{(n)} = 3·4ⁿ⁺¹ + 51 - (3·4ⁿ + 51) = 3·4ⁿ⁺¹ - 3·4ⁿ

S_{(n+1)} - S_{(n)} = 3( 4ⁿ⁺¹ - 4ⁿ) = 3×4ⁿ×(4 - 1) = 9×4ⁿ

∴ S_{(n+1)} - S_{(n)} is divisible by 9

Given that we have for S₀ =  3×4⁰ + 51 = 63 = 9×7

∴ S₀ is divisible by 9

Since  S_{(n+1)} - S_{(n)} is divisible by 9, we have;

S_{(0+1)} - S_{(0)} =  S_{(1)} - S_{(0)} is divisible by 9

Therefore S_{(1)} is divisible by 9 and S_{(n)}  is divisible by 9 for all positive integers n

Step-by-step explanation:

5 0
3 years ago
2=ln(x+7) solve for x
maria [59]

Answer:

e^2 -7 = x

Step-by-step explanation:

2=ln(x+7)

Raise each side to the base of e

e^2 = e^ln (x+7)

The e^ln cancel

e^2 = x+7

Subtract 7 from each side

e^2 -7 = x +7-7

e^2 -7 = x

8 0
3 years ago
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