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3 years ago

Solve the equation. Show all Work. (4 points)

Mathematics

1 answer:

Ber [7]3 years ago

7 0

Answer:

Step-by-step explanation:

7x + 3(-x + 6) = 42

use distributive property

7x + -3x + 18 = 42

positive + negative = negative

7x - 3x + 18 = 42

combine like terms

4x + 18 = 42

subtract 18 from both sides

4x + 18 - 18 = 42 - 18

18 is canceled out on the left side

4x + 0 = 24

4x = 24

divide both sides by 4

4x ÷ 4 = 24 ÷ 4

1x = 6

x = 6

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Answer:

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Step-by-step explanation:

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3 years ago

The value of b when solving the equation 2 (6 + 12) = 16 is:

elena-s [515]

Answer:

Step-by-step explanation:

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3 years ago

A culture started with 3000 bacteria. After 4 hours, it grew to 3,600 bacteria. Predict how many bacteria will be present after

Vlad [161]

Hello Shannonrodrigue. You can solve this by setting up an exponential growth equation.

$A = A_ob^t$
$3600 = 3000b^4$

Now we solve for b
$3600 = 3000b^4$
$\frac{3600}{3000} = \frac{3000b^{4}}{3000}$
$\frac{6}{5} = b^4$
$\sqrt[4]{\frac{6}{5}} = \sqrt[4]{b^4}$
$\sqrt[4]{\frac{6}{5}} = b$

Now that we have found b, we can use the equation $A = 3000b^t$ to predict how many bacteria will be present after 10 hours.
$b = \sqrt[4]{\frac{6}{5}}$
t = 10
$A = 3000b^t$
$A = 3000\sqrt[4]{\frac{6}{5}}^{10} = 4732.3228 = 4732$

Answer = 4732

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