Find the y-coordinate of the y-intercept of the polynomial function defined below.

Mathematics

1 answer:

gayaneshka [121]2 years ago

5 0

The y-intercept would be (0,8) because the last number on the equation, aka the c value, is you y-intercept.

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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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3 years ago

Find j. 6 + 2(3j – 2) = 4(1 + j)

Sindrei [870]

Answer:

j=1

Step-by-step explanation:

8 0

3 years ago

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Given the piecewise function shown below, select all of the statments that are true.

timurjin [86]

The given the piecewise function is :

$f(x) = \[ \begin{cases} 
 2x & x \ \textless \ 1 \\
 5 & x=1 \\
 x^2 & x\ \textgreater \ 1 
 \end{cases}
\]$

To find f(5) ⇒ substitute with x = 5 in the function → x²
∴ f(5) = 5² = 25

To find f(2) ⇒ substitute with x = 5 in the function → x²
∴ f(2) = 2² = 4

To find f(-2) ⇒ substitute with x = 5 in the function → 2x
∴ f(-2) = 2 * (-2) = -4

To find f(1) ⇒ substitute with x = 1 in the function → 5
∴ f(1) = 5
================================
So, the statements which are true:
$\framebox {B. f(2) = 4} \ \framebox {D. f(1) = 5}$

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3 years ago

Hello! Can someone help with this question?

IgorC [24]

Hello! :)

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