2 consecutive odd positive integers....x and x + 2
x^2 + (x + 2)^2 = 130
x^2 + (x + 2)(x + 2) = 130
x^2 + x^2 + 4x + 4 = 130
2x^2 + 4x + 4 = 130
2x^2 + 4x + 4 - 130 = 0
2x^2 + 4x - 126 = 0
2(x^2 + 2x - 63) = 0
2(x - 7)(x + 9) = 0
x - 7 = 0
x = 7
x + 9 = 0
x = -9 (cant be this one because it is negative
so x = 7...and x + 2 = 7 + 2 = 9......ur 2 numbers are 7 and 9
Answer:
Step-by-step explanation:
I = -425x^2 + 45,500(x) - 650,000
x = 40
I = -425(40^2) + 45,500(40) - 650,000
I = -425(1600) + 1,820,000 - 650,000
I = -680,000 + 1,820,000 - 650,000
I = 1,820,000 - 1,330,000
I = 490,000 <===
Answer: 500
Step-by-step explanation: 15 percent (calculated percentage %) of what number equals 75? Answer: 500
Answer:
Let v = no. of students in a van
b = no. of students in a bus
5v + 6b = 393 7v + 6b = 411
9 students in each van 58 students in each bus
Step-by-step explanation:
Let v = no. of students in a van
b = no. of students in a bus
School A School B
(1) 5v + 6b = 393 (2) 7v + 6b = 411
Change all the signs in (1) to get -5v - 6b = -393
Add that to (2) 7v + 6b = 411
<u>-5v - 6b = -393</u>
2v = 18
v = 9 students in each van
Substitute 9 in for v in (1) and we get 5(9) + 6b = 393
45 + 6b = 393
6b = 348
b = 58 students in each bus
The answer is no solution.
Explanation:
Because of pemdas, first, solve the parentheses. It becomes 4.2x + 3, as multiplying by 0.5 caused the same effect as if you were to divide by 2. Now if you look at the problem, it is just 4.2x - 3 = 4.2x + 3. Even though the symbols are different, they are still equal to eachother.