Answer:
- 13
Step-by-step explanation:
Substitute x = - 1 into f(x) to obtain the remainder on dividing by (x + 1)
f(- 1) = - 2(- 1)³ - 4(- 1)² + 3(- 1) - 8
= 2 - 4 - 3 - 8 = - 13
Thus the remainder on dividing f(x) by (x + 1) is - 13
Simple interest doesn't compound, so we just find the interest she needs by dividing 4,000 by 8, and then divide that number by her principal to find the rate of interest.
4,000 ÷ 8 = 500
She needs 500 dollars per year in interest.
800 ÷ 14,100 = .0355 = 3.55%
Answer is B
Recliner:
Markup $10
selling price $300
computer:
markup $19.20
selling price $67.20
Answer:
17) x=8
18)
or 
Step-by-step explanation:
So the rule is
, "c" being the hypothenuse, or the long line that is opposite to the right angle.
17) We know that both values of x are equal to each other, which makes everything 10x easier!

(by the way we know the x values are our a and b values because they are legs! the way I like to remember the legs is that they are connected to the right angle box, and therefore support the hypothenuse)
<em>simplify</em> (╥︣﹏╥)

x=8
18) Just pretend that the flipped triangle doesn't exist. It's parallel to the other triangle with values on it, and basically servers no purpose other than being parallel to the sister triangle :)
Anyways, since we know the hypothenuse (15) but we don't know one of our leg values (x), we're going to change our equation a bit!

It doesn't matter if you put the one leg value in a or b, just as long as you stick to that same equation you started with the entire time!



The more you do these, the easier they'll get, so don't worry!
Answer:
a = 10/3.
Step-by-step explanation:
We write the linear function as follows:
f(x) = mx + b where m is the slope and b is the y-intercept.
f(6) = 6m + b = 8
f(2) = 2m + b = 20 Subtracting these 2 equations:
4m = -12
m = -3.
and -3 * 2 + b = 20 so:
b = 20 + 6 = 26.
So we have the linear function:
f(x) = -3 x + 26
f(a) = 16 = -3 a + 26
-3 a = 16-26
a = -10 * -3 = 10/3.