Answer:
x² + x + 5
Step-by-step explanation:
Using Synthetic division
- 5 | 1 6 10 25
↓ - 5 - 5 - 25
-----------------------
1 1 5 0 ← remainder
Since the remainder is zero then (x + 5) is a factor of the polynomial
The Quotient = x² + x + 5
Thus
x³ + 6x² + 10x + 25 = (x + 5)(x² + x + 5)
Answer:
10x² - 48y² - 11x + 2y - 74xy
Step-by-step explanation:
(-x+8y)+(-10x-6y)(−x+8y)+(−10x−6y)
Rearranging,
=> - x - 10 x + 8y - 6y + (-10x-6y)(−x+8y)
=> - 11x + 2y + 10x² - 48y² + 6xy - 80xy
=> 10x² - 48y² - 11x + 2y - 74xy
Column 8
Column C
+3+=12
63 +7=
-63+(-7) = 9
-63-7=
Column D
21 + 7 = 3
-21-7) = 3
-21-7=3
21+(-7) = 3
- 24+4=-6
43 - (-4)= -12
Describe the pattern you see in each column's answers in Problem 1. relating it to the problems divisors and
dividends. Why is this so?
Describe the pattern you see between the answers for Columns A and B in Problem I les compare the first answer
in Column A to the first answer in Column B compare the second answer in Column A to the second answer in
Column B) Why is this so?
Describe the pattern you see between the answers for Columns C and Din Problem 1. Why is this so?
Answer:
because less
Step-by-step explanation:
Answer:
- 36
Step-by-step explanation:
First evaluate g(18), then substitute the value obtained into h(x), then substitute the value obtained here into f(x).
g(18) = =
= 6, then
h(6) = | 4(6) | - 12 = | 24 | - 12 = 24 - 12 = 12, then
f(12) = - 3(12) = - 36
Answer:
you would have to play 10 games
Answer:
10 games
Step-by-step explanation:
Let C be cost and x be number of games
Arcade A: C = 5 + 0.6x
Arcade B: C = 7 + 0.4x
for both arcades to be the same price, Both C's must be equal, hence we equate the right side of both equations:
5 + 0.6x = 7 + 0.4x (subtract 5 fromboth sides)
0.6x = 7 + 0.4x - 5
0.6x = 2 + 0.4x (subtract 0.4x from both sides)
0.6x - 0.4x = 2
0.2x = 2 (divide both sides by 0.2)
x = 2 / (0.2)
x = 10
Answer:
Step-by-step explanation:
Considering Betty's account
Initial amount deposited into the account is $300 This means that the principal is
P = 300
It was compounded annually. This means that it was compounded once in a year. So
n = 1
The rate at which the principal was compounded is 5%. So
r = 5/100 = 0.05
It was compounded for 2 years. So
t = 2
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount in the account at the end of t years. Therefore
A = 300 (1+0.05/1)^1×2
A = 300(1.05)^2 = $330.75
Considering Theresa's account,
The formula for simple interest is expressed as
I = PRT/100
Where
P represents the principal
R represents interest rate
T represents time
P = 300
R = 5%
T = 2
I = (300 × 5 × 2)/100 = 30
Total amount in Theresa's account after 2 years will be 30 + 300 = $330
Betty would earn more than Theresa. She will earn 330.75 - 330 = $0.75 more than Theresa.