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Thepotemich [5.8K]
3 years ago
8

Archimedes drained the water in his tub. 62.5, point, 5 liters of water were drained each minute, and the tub was completely dra

ined after 8 minutes.
Graph the relationship between the amount of water left in the tub (in liters) and time (in minutes).

Mathematics
1 answer:
Firlakuza [10]3 years ago
5 0

Answer

its 500 and 8

Step-by-step explanation:

got it from khan academy

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Write a polynomial function f of least degree that has a leading coefficient of 1 and the given zeros -4,-2,5. write the functio
OLga [1]

Answer:

Step-by-step explanation:

This is a third degree polynomial since we have 3 zeros.  We find these zeros by factoring the given polynomial.  The zeros of a polynomial are where the graph of the function goes through the x-axis (where y = 0).  If x = -4, the factor that gives us this value is (x + 4) = 0 and solving that for x, we get x = -4.  If x = -2, the factor that gives us that value is (x + 2) = 0 and solving that for x, we get x = -2.  Same for the 5.  The way we find the polynomial that gave us these zeros is to go backwards from the factors and FOIL them out.  That means that we need to find the product of

(x + 4)(x + 2)(x - 5).  Do the first 2 terms, then multiply in the third.

(x+4)(x+2)=x^2+2x+4x+8, which simplifies to

x^2+6x+8

No we multiply in the final factor of (x - 5):

(x^2+6x+8)(x-5)=x^3+6x^2+8x-5x^2-30x-40 which simplifies to

f(x)=x^3+x^2-22x-40

If you are aware of the method for factoring higher degree polymomials, which is to use the Rational Root Theorem and synthetic division, you will see that this factors to x = -4, -2, 5.  If you know how to use your calculator, you will find the same zeros in your solving polynomials function in your apps.

3 0
3 years ago
$2,000 IN AN ACCOUNT THAT PAID 6.25% SIMPLE INTEREST ANNUALLY
valkas [14]
\bf ~~~~~~ \textit{Simple Interest Earned Amount}\\\\
A=P(1+rt)\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to& \$2000\\
r=rate\to 6.25\%\to \frac{6.25}{100}\to &0.0625\\
t=years\to &3
\end{cases}
\\\\\\
A=2000(1+0.0625\cdot 3)\implies A=2000(1.1875)
8 0
3 years ago
Joel earns a commission of 5% on the audio equipment he sells , and the store keeps the rest . He sells a $750 amplifier. A. How
den301095 [7]

Answer:

Joel earns $35.00 commission and the store keeps $715.

Step-by-step explanation:

You need to figure 5% of what he sold - or 5% of $750.

Of course, you can use a calculator, or multiply $750 by .05. I prefer to think of 10 percent ($75.00) and half that to get 5%. $35.00.

Joel earns $35.00 on the sale. Not bad!

If he gets to keep $35, deduct this from the price to find out how much the store will keep.

$750 - $35 - $715.

5 0
3 years ago
Read 2 more answers
Can someone help me with this
Snezhnost [94]
All of them specifically?
6 0
2 years ago
Solve and graph: 7x-6&gt;22<br>(pls explain your answer, im confused on this)​
grandymaker [24]

Answer:

x>4

Step-by-step explanation:

Solving an inequality is very similar to solving an equation:

Given: 7x-6>22

Add 6 to both sides: 7x>28

Divide both side by 7: x>4

x>4 means that all x-values that are greater than 4 will work. Therefore you would write an open dot at x=4 on the number line to show that 4 isn't included, and draw an arrow going right to show all possible solutions greater than 4.

6 0
3 years ago
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