Answer:
a = 4 and b = - 30
Step-by-step explanation:
Expand the left side and compare like terms on both sides, that is
(x + 2)(x - 3)(x + 5) ← expand the first pair of factors using FOIL
= (x² - x - 6)(x + 5) ← distribute
= x³ + 5x² - x² - 5x - 6x - 30 ← collect like terms
= x³ + 4x² - 11x - 30
Compare like terms with x³ +ax² - 11x + b
4x² and ax² ⇒ a = 4
+ b and - 30 ⇒ b = - 30
10 refers to the number of 100's
multiple 10 by 100 to get 1000
Answer: $12.54
Step-by-step explanation:
7 times $4.32 = $30.24
14 times $1.23 = $17.22
add both sums which = $47.46
now subtract $60.00 by $47.46
now equals $12.54 HOPE THIS HELPED!!
Answer:
C) 65,535
Step-by-step explanation:
You can add up the 8 terms ...
3, 12, 48, 192, 768, 3072, 12288, 49152
to find their sum is 65535.
_____
<em>Estimating</em>
Knowing the last term (49152) allows you to make the correct choice, since the sum will be more than that and less than double that.
_____
<em>Using the formula</em>
You know the formula for the sum of a geometric sequence is ...
S = a1(r^n -1)/(r -1)
where a1 is the first term (3), r is the common ratio (4), and n is the number of terms (8).
Filling in the values, you find the sum is ...
S = 3(4^8 -1)/(4-1) = 4^8 -1 = 65535
-5a-4a+b<span>Simplifying
-5a + -4a + b
Combine like terms: -5a + -4a = -9a
-9a + b</span>
