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3 years ago

Apply the distributive property to factor out the greatest common factor. 44h-33=

Mathematics

1 answer:

Flauer [41]3 years ago

8 0

Answer:

11(4h-3)

Step-by-step explanation:

The greatest known common factor of 44h and 33 is 11. So using the distributive property, I got 11(4h-3)

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Write the equation of the quadratic function with roots 6 and 10 and a vertex at (8,2)

Elis [28]

...6 and 10 are roots, so x – 6 and x – 10 are factors.
y = a(x – 6)(x – 10).....plug in the point (8, 2) and solve for a:
2 = a(8 – 6)(8 – 10)
2 = –4a
a = –1/2
...y = (–1/2)(x – 6)(x – 10)
...y = (–1/2)(x² – 16x + 60)
...y = (–x²/2) + 8x – 30 <<<------Answer, or:
...y = (–1/2)(x – 8)² + 2 <<<------Answer

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3 years ago

Problem PageQuestion The mass of a radioactive substance follows a continuous exponential decay model, with a decay rate paramet

asambeis [7]

Answer:

Step-by-step explanation:

<u>Exponential Model</u>

The exponential model is often used to simulate the behavior of a magnitude that either grow or decay in proportion to the existing amount of that magnitude.

The model can be expressed as

$M=M_oe^{kt}$

In this case, Mo is the initial mass of the radioactive substance and k is a constant which value is positive if the mass is growing or negative if the mass is decaying.

The value of k is not precisely given in the question, we are assuming $k=-0.2$

The model is now

$M=M_oe^{-0.2t}$

We are required to compute the time it takes the mass to reach one-half of its initial value:

$\displaystyle \frac{M_o}{2}=M_oe^{-0.2t}$

Simplifying

$\displaystyle \frac{1}{2}=e^{-0.2t}$

Taking logarithms

$\displaystyle ln\frac{1}{2}=ln(e^{-0.2t})=-0.2t$

Solving for t

$\displaystyle t=-\frac{ln\frac{1}{2}}{0.2}=1.51$

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3 years ago

Write the standard form of the line that contains a slope of -3/8 and passes through the point (5,-4)

Lilit [14]

By using y=mx+b you get y=-3/8x-17/8

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3 years ago

You receive 15% of the profit from a car wash how much money do you receive from a profit of 300

Fittoniya [83]

Answer: 45

Step-by-step explanation:

300 * 0.15 = 45

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3 years ago

Read 2 more answers

Please help quick!!!!

Luda [366]

It's a y=mx+b equation, Carries' would be y=1/2 x - 125 (total profit is equal to the cupcake amount, each sold for 50 cents - the startup cost of 125). Juanita's would be y=2.25x-125. Comparing Carries' to Juanita's sales would mean that you would multiply x by 3 (no less than 3 times the ..). I may elaborate further on comparing in the comment section

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3 years ago