<span>9 hamburgers and 3 fries for 24.75 and 6 hamburgers and 4 fries for 19.50 can be represented by
9h + 3f = 24.75 and
6h + 4f = 19.5
Multiply by 4 36h + 12f = 99
and multiply by -3 -18h -12f = -58.5
12f and -12f cancel each other out
36h - 18h = 99 -58.5
18h = 40.5
h = 2.25
hamburgers cost 2.25
9h + 3f = 24.75
9(2.25) + 3f = 24.75
3f = 24.75 - 20.25 = 4.50
f = 150
fries cost 1.50
One hamburger and one fries can be represented by :
h + f
2.25 + 150 = 3.75</span>
The answer is the first one; it is an arithmetic sequence with a common difference of -40.
<u><em>Answer:</em></u>
<u><em>The answer is 2 or 2x</em></u>
<u><em>Step-by-step explanation:</em></u>
<u><em>Hope this helps!!</em></u>
Answer:
Your answer would be: square the binomial, distribute 7 inside the parentheses, and then combine like terms
Step-by-step explanation:
Answer: A, B, C, and E
Step-by-step explanation:
If both sides are real numbers, then the product will be a real number.
If in at least one of the sides we have a complex number, then the product will be real if:
The other number is zero.
The other number is the conjugate of the first.
This is when:
Suppose we have a number:
z = a + b*i
The conjugate will be:
w = a - b*i
And the product between them is:
(a + b*i)*(a - b*i) = a^2 + a*b*i - a*b*i + b^2 = a^2 + b^2
Then the options that will have a real answer are:
A. (4+5i)(4-5i) = 4^2 + 5^2 = 16 + 25 = 41
B. (4 + 91)*(41 - 9) = 3040
C. (3 + 2*i)*(3 -2*i) = 3^2 + 2^2 = 9 + 4 = 13
E. (312 + 7i)*(312 - 7i) = 312^2 + 7^2 = 97,393
