Answer:
x+6 and x+7
Step-by-step explanation:
Given the quadratic equation;
x^2 + 13x + 42
Factorize
x^2+13x+42 = 0
x^2 + 7x + 6x + 42 = 0
x(x+7)+6(x+7) = 0
(x+6)(x+7) =0
Hence the required binomials are x+6 and x+7
Basically either subsitute or solve
I will simplify to make easier work
so PEMDAS
Parenthasees
Exponents
multiply or divide whichever comes first
add or subtract whichever comes first
9 times 8=72
I will assume that x2=x^2 or x squared so left is simplified
x^3+x^2 so
72-2x+x^2<u>></u>x^3+x^2
subtract x^2 from both sides since they cancel each other out
72-2x <u>></u> x^3
add 2x to both sides
72 <u>></u> x^3+2x
factor
72 <u>></u> x(x^2+2)
now subsitute 7,6,5,4
if x=4 then
4(4^2+2)=4(16+2)=4(18)=72
72 <u>></u> 72
true
since all the other numbers are smaller, the only sentence that will work is 7 or A
the answer is A 7
6 goes into
38 6 times (6 * 6 = 36). We can bring out a whole number of 6 into our mixed number. Now, we have 2/6 left over. That can be reduced to 1/3. Your mixed number is
900 x² + 500 x= 1600 /:100
9 x² + 5 x = 16
9 x² + 5 x - 16 = 0
x 1/2 =
x = 1.084
The interest rate:
r = x - 1 = 1.084 - 1 =
0.084 = 8.4 %Answer: D) 8.4 %
Step-by-step explanation:
P = IV
2000 W = I (120 V)
I = 16.7 A
P = E/t
P = (2000 W × 8 hr) / (1 day)
P = 16,000 W·hr/day
P = 16000 W·hr/day × (365 day / yr)
P = 5,840,000 W·hr/yr
P = 5,840,000 W·hr/yr × (1 kW / 1000 W)
P = 5840 kW·hr/yr
C = 5840 kW·hr/yr × (0.25 $/kW/hr)
C = $1460/yr