Answer:
x ≈ - 4.12 , x ≈ 0.12
Step-by-step explanation:
Given
2x² + 8x - 1 = 0 ( add 1 to both sides )
2x² + 8x = 1 ← factor out 2 on the left side
2(x² + 4x) = 1
To complete the square
add/ subtract (half the coefficient of the x- term )² to x² + 4x
2(x² + 2(2)x + 4 - 4) = 1, that is
2(x + 2)² - 8 = 1 ( add 8 to both sides )
2(x + 2)² = 9 ( divide both sides by 2 )
(x + 2)² = ( take the square root of both sides )
x + 2 = ± = ± = ± ( subtract 2 from both sides )
x = - 2 ± 1.5 , thus
x = - 2 - 1.5 ≈ - 4.12 ( to 2 dec. places )
x = - 2 + 1.5 ≈ 0.12 ( to 2 dec. places )
Answer:
1.75
Step-by-step explanation:
nsjdjdjdjdjndnsjdjdjjddbjdjsjsj its 1.75
For this case, the first thing we must do is define variables:
t1: time to drive uphill
t2: time to drive downhill
We now write the system of equations:
t1 = 2 * t2 - 10
t1 - t2 = 65
To rewrite this problem as an equation with a variable, we clear t2 from equation 2:
t2 = t1 - 65
We substitute equation 1 and obtain an equation with a variable:
t1 = 2 * (t1 - 65) - 10
Clearing t1 we have:
t1 = 2t1 - 130 - 10
t1 = 2t1 - 140
2t1 - t1 = 140
t1 = 140 minutes
Answer:
System of equations:
t1 = 2 * t2 - 10
t1 - t2 = 65
Equation with a variable:
t1 = 2 * (t1 - 65) - 10
the drive uphill takes:
t1 = 140 minutes
I think a possible answer could be
a - 9a + 8 - 2 but I’m not that sure
Answer:
y=-(2)* +3 is the function that has a range of y < 3.