Answer:
Step-by-step explanation:
12(5+2y)=4y-(6-9y)
Distribute
12*5 +12*2y = 4y - 6 +9y
60 +24y = 4y - 6 +9y
Combine like terms
60+24y =13y -6
Subtract 13 y from each side
60 +24y-13y=13y-13y -6
60+11y = -6
Subtract 60 from each side
60+11y-60 =-6 -60
11y = -66
Divide by 11
11y/11 = -66/11
y =-6
Check
12(5+2(-6))=4(-6)-(6-9(-6) )
12 (5-12) = -24 - (6+54)
12(-7) = -24 -60
-84 = -84
True so the solution is correct
Since f(x) is a polynomial with 3rd degree, then it will have 3 roots (zeroes)
One of them is real and the other two are complex conjugate roots
Since the real root is 4, then
x = 4
Since the complex root is (1 - i), then
The other root will be the conjugate of it (1 + i)
x = (1 - i)
x = (1 + i)
To find f(x) we will multiply the three factors of it
We can get the factors from the zeroes
Subtract 4 from both sides
The first factor is (x - 4)
The second factor is (x - 1 + i)
The third factor is (x - 1 - i)
We will multiply them to find f(x)
Multiply it by (x - 4)
The answer is
Answer:
the future value is $5800.38
Step-by-step explanation:
Given that
The invested amount i.e present value is $500
The rate is 5 % per year so quarterly rate is 5% ÷ 4 = 1.25%
The time period is 3 per year so for quartely it is 3 × 4 = 12
We need to find out the future value
So as we know that
Future value = Present value × (1 + rate of interest)^time
= $500 × (1 + 0.0125)^12
= $580.38
hence, the future value is $5800.38
$45.50
2 bags = $7
13 bags=?
7÷2=3.5
3.50=1 bag
$3.50 × 13 bags = $45.50 for 13 bags of Doritos
Answer:
Good, this question will probably get taken down though. That happened to me.
Step-by-step explanation:
