The area of a rectangle is it's length times it's height. We are given polynomials for these values, so we can multiply them using the FOIL method to find the area.
FOIL stands for Firsts, Outers, Inners, Lasts. This means we multiply the first term of each polynomial together, the outer terms together, the inner terms together, and the last terms together.
(2x+5)(x-2)
The first terms are 2x and x, the outer terms are 2x and -2, the inner terms are 5 and x, and the last terms are 5 and -2:
2x^2 - 4x +5x - 10
Combine like terms:
2x^2 + x - 10
The third option is the correct answer.
Answer:
5 hours
Step-by-step explanation:
-150 miles in all
-75 miles per speed
<u>60 mph...</u>
60 miles per hour over 75 miles
75 miles ÷ 60 miles = 1.25 hours
<u>20 mph...</u>
20 miles per hour over 75 miles
75 miles ÷ 20 miles = 3.75 hours
<u>Total hours of driving...</u>
60 mph for 1.25 hours
20 mph for 3.75 hours
3.75 hours + 1.25 hours = 5 hours total
Answer:
x+6 ≥ 25
Step-by-step explanation:
The product means the sum of <em>x</em> + 6. In this question, <em>x</em> + 6, is greater than or equal to the number 25 which is what ≥ means. Meaning, <em>x</em> can be replaced by a number that when added to <em>6</em>, <u>will equal to </u><u><em>25</em></u><u> or more</u>. For example, <em>x </em>can equal <em>19, 20, 21 </em>and so on.
Answer: for the 12,13,40,95,88,7,95
mean 95,median 83,mode 95
Step-by-step explanation:
Answer:
$2647.18
Step-by-step explanation:
Formula : ![A[\frac{1+(\frac{r}{n})^{n}-1 }{(\frac{r}{n} )}]](https://tex.z-dn.net/?f=A%5B%5Cfrac%7B1%2B%28%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bn%7D-1%20%7D%7B%28%5Cfrac%7Br%7D%7Bn%7D%20%29%7D%5D)
Future value = $43,000
r = rate of interest = 9% = 0.09
t = 3.5 years (compounded quarterly)
n = number of compounding (3.5 × 4) = 14
Now put the values into formula :
43000 = ![A[\frac{1+(\frac{0.09}{4})^{14}-1 }{(\frac{0.09}{4} )}]](https://tex.z-dn.net/?f=A%5B%5Cfrac%7B1%2B%28%5Cfrac%7B0.09%7D%7B4%7D%29%5E%7B14%7D-1%20%7D%7B%28%5Cfrac%7B0.09%7D%7B4%7D%20%29%7D%5D)
43000=A(
43,000 = A(16.243708)
A = 
A = $2,647.17883 ≈ $2647.18
