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denis23 [38]
3 years ago
8

Write an equation for the following graph.

Mathematics
2 answers:
Mandarinka [93]3 years ago
5 0

Answer:

y = 25x

Step-by-step explanation:

slope is 25 because to move from one point to another (on the line) you move up 50 (from 0 to 50) and to the right 2 (from 0 to 2) slope is 50/2 which simplified to 25

when x = 0, y = 0 so the y intercept is 0 but it isn’t necessary to add it to the equation

kotykmax [81]3 years ago
5 0

Answer:

y=25x

Step-by-step explanation:

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Susie is participating in a bake sale for a fundraiser. She baked 8 pies to sell. Two pies weigh 105 g each, one pie weighs 106
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105.25 g

Step-by-step explanation:

The average weight is the sum of the weights divided by the number of pies.

(105 + 105 + 106 + 108 + 108 + 103.5 +102 +104.5) / 8

= 105.25

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In the regular decagon shown, what is the measure of angle 1?
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3 years ago
I NEED HELP!! please show all work
PtichkaEL [24]

Take the logarithm of both sides. The base of the logarithm doesn't matter.

4^{5x} = 3^{x-2}

\implies \log 4^{5x} = \log 3^{x-2}

Drop the exponents:

\implies 5x \log 4 = (x-2) \log 3

Expand the right side:

\implies 5x \log 4 = x \log 3 - 2 \log 3

Move the terms containing <em>x</em> to the left side and factor out <em>x</em> :

\implies 5x \log 4 - x \log 3 = - 2 \log 3

\implies x (5 \log 4 - \log 3) = - 2 \log 3

Solve for <em>x</em> by dividing boths ides by 5 log(4) - log(3) :

\implies \boxed{x = -\dfrac{ 2 \log 3 }{ 5 \log 4 - \log 3 }}

You can stop there, or continue simplifying the solution by using properties of logarithms:

\implies x = -\dfrac{ \log 3^2 }{ \log 4^5 - \log 3 }

\implies x = -\dfrac{ \log 9 }{ \log 1024 - \log 3 }

\implies \boxed{x = -\dfrac{ \log 9 }{ \log \frac{1024}3 }}

You can condense the solution further using the change-of-base identity,

\implies \boxed{x = -\log_{\frac{1024}3}9}

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