Answer:
Step-by-step explanation:
We have:
And we want to find the value of x such that the expression is positive. So, we can write this as the following inequality:
Solve for the inequality. First, we can solve for the zeros like a normal quadratic. So, pretend the inequality is with an equal sign:
Zero Product Property:
On the left, subtract 5.
On the right, add 1.
So, our zeros are:
Since our inequality is a <em>greater than</em>, our answer is an "or" inequality with our answer being all the values to the <em>left</em> of our lesser zero and all the values to the <em>right </em>of our greater zero.
So, our solution is:
And we're done!
C. multiply because of the order of operations
Answer:
12
Step-by-step explanation:
f(x)=x^+4x+2 First, let's evaluate when x=3, x=4 and x=5.
f(3) = 3²+4(3)+2 = 9 + 12 + 2 = 23
f(4) = 4²+4(4)+2 = 16 + 16 + 2 = 34
f(5) = 5²+4(5)+2 = 25 + 20 + 2 = 47
Now, let's find the rate of change.
34 - 23 = 11
47 - 34 = 13
Finally, the average rate of change.
(11 + 13) / 2 = 12
Answer:
She deposits $350 into the account at the beginning of the year.
Step-by-step explanation:
Let us assume that Keegan deposits $P into her savings account at the beginning of the year.
The account earns 3% simple interest each year and she has $360.50 in her account at the end of the year.
If Keegan did not make any additional deposits or withdrawals during the year.
So, we can write that ![P[1+\frac{3}{100} ]= 360.50](https://tex.z-dn.net/?f=P%5B1%2B%5Cfrac%7B3%7D%7B100%7D%20%5D%3D%20360.50)
⇒ P = $350 (Answer)
