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Gelneren [198K]

2 years ago

13

DinElla’s test grades in her history class are 89, 94, 82, 84, and 98. What score must Ella make on her next test to have a mean

test score of 90?
needed on the next test

2 answers:

Fudgin [204]2 years ago

4 0

No i dont think its 3

KonstantinChe [14]2 years ago

3 0

Answer:

3

Step-by-step explanation:

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Find the equation of the line y= _x+_

Mekhanik [1.2K]

Answer:

y = - $\frac{1}{3}$ x + 5

Step-by-step explanation:

The line passes the y axis at 5, so the y intercept is 5. For the slope, the line moves down one and over three, so the slope is negative 1/3.

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2 years ago

HELP PLEASE!<br> What is the value of x?<br> 4<br> 42√<br> 8<br> 82√

kondaur [170]

See picture for answer.

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3 years ago

Read 2 more answers

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Veronika [31]

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2 years ago

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3^x= 3*2^x solve this equation

kompoz [17]

In the equation

$3^x = 3\cdot 2^x$

divide both sides by $2^x$ to get

$\dfrac{3^x}{2^x} = 3 \cdot \dfrac{2^x}{2^x} \\\\ \implies \left(\dfrac32\right)^x = 3$

Take the base-3/2 logarithm of both sides:

$\log_{3/2}\left(\dfrac32\right)^x = \log_{3/2}(3) \\\\ \implies x \log_{3/2}\left(\dfrac 32\right) = \log_{3/2}(3) \\\\ \implies \boxed{x = \log_{3/2}(3)}$

Alternatively, you can divide both sides by $3^x$ :

$\dfrac{3^x}{3^x} = \dfrac{3\cdot 2^x}{3^x} \\\\ \implies 1 = 3 \cdot\left(\dfrac23\right)^x \\\\ \implies \left(\dfrac23\right)^x = \dfrac13$

Then take the base-2/3 logarith of both sides to get

$\log_{2/3}\left(2/3\right)^x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x \log_{2/3}\left(\dfrac23\right) = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(3^{-1}\right) \\\\ \implies \boxed{x = -\log_{2/3}(3)}$

(Both answers are equivalent)

8 0

2 years ago

1. Sonny works as a furinture salesman and earns a base salary of $350 per week plus 6% commission on sales.

muminat

Answer:

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2 years ago