Get m by itself so divide each side by 6
m= 234/6
m=39
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The reflection across y=-x swaps the coordinates and negates both of them. The first-quadrant figure becomes a third-quadrant figure.
(x, y) ⇒ (-y, -x)
<span>In a system of linear equations we should first try to eliminate one variable. Like this:2a+2x=18........................(1)a+3x=17........................(2)Multiply equation (2) with 2:2a+6x=34....................(3)Subtract 1) and (3):-4x=-16x=4Substitute in 1) or 2) to get 'a' value:a=5Therefore the solution is x=4 and a=5...................(Answer)</span>
Answer:
Approximately 143
Step-by-step explanation:
The fraction that is women is 19/(19 + 81). Multiply the total number (750) by this fraction, and get the total number of women.
Answer:
$95.78
Step-by-step explanation:
f(t) = 300t / (2t² + 8)
t = 0 corresponds to the beginning of August. t = 1 corresponds to the end of August. t = 2 corresponds to the end of September. So on and so forth. So the second semester is from t = 5 to t = 10.
$T₂ = ∫₅¹⁰ 300t / (2t² + 8) dt
$T₂ = ∫₅¹⁰ 150t / (t² + 4) dt
$T₂ = 75 ∫₅¹⁰ 2t / (t² + 4) dt
$T₂ = 75 ln(t² + 4) |₅¹⁰
$T₂ = 75 ln(104) − 75 ln(29)
$T₂ ≈ 95.78