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Gemiola [76]
3 years ago
12

What is a simpler form of 5n(3n³−n²+8) ?

Mathematics
1 answer:
lukranit [14]3 years ago
4 0
15n power 4 - 5n power 3 + 40n
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Find the value of k if x-1 is the factor of x ^ 2 + x + k​
Ne4ueva [31]

Answer:

k = -2

Step-by-step explanation:

Recall from the Factor Theorem that if (<em>x</em> - <em>a</em>) is a factor of a polynomial <em>P</em>, then P(<em>a</em>) must equal 0.

Our polynomial is:

\displaystyle P(x) = x^2 + x + k

And we know that (<em>x</em> - 1) is a factor.

Therefore, by the Factor Theorem, P(1) must equal 0. Hence solve for <em>k: </em>

<em />\displaystyle \begin{aligned} P(1) = 0 & = (1)^2 + (1) + k \\ \\ 0 & = 2 + k \\ \\ k & = -2\end{aligned}

In conclusion, the value of <em>k</em> is -2.

4 0
2 years ago
Can someone help me please i didnt learn this
OLga [1]

Answer:

1.) Exponential Growth

2.) Exponential Decay

3.) Exponential Growth

4.) Exponential Decay

Step-by-step explanation:

<u>1.) </u><u><em>f (x) </em></u><u>= 0.5 (7/3)^</u><u><em>x</em></u>

            ↓

always increasing

<u>2.) </u><u><em>f (x) </em></u><u>= 0.9 (0.5)^</u><u><em>x</em></u>

<em>             </em>↓

always decreasing

<u>3.) </u><u><em>f (x) </em></u><u>= 21 (1/6)^</u><u><em>x</em></u>

            ↓

always increasing

<u>4.) </u><u><em>f (x) </em></u><u>= 320 (1/6)^</u><u><em>x</em></u>

<em>          </em>   ↓

always decreasing

<u><em>EXPLANATION:</em></u>

It's exponential growth when the base of our exponential is bigger than 1, which means those numbers get bigger. It's exponential decay when the base of our exponential is in between 1 and 0 and those numbers get smaller.

7 0
3 years ago
Write each as a fraction ​
Zina [86]

Answer:

18) 7/10 20) 58/100 or 29/50 22) 2/3 24) 8/10 or 4/5 26) 3/10

Step-by-step explanation:

6 0
2 years ago
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Which of these represents a competitive but realistic interest rate on a savings account?
boyakko [2]

Answer:

Its Either 3% Or 7% Pretty Sure Its 7% Because of Tax Stuff

Step-by-step explanation:

6 0
3 years ago
What's the circumference of a
grandymaker [24]

Answer:

56.55 inches

Step-by-step explanation:

8 0
3 years ago
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