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:
The graph if h(x) =2x-3 will have the same slope, but placed lower on the graph, because it's y intercept is -3, while the y-int of f(x) is 0, which is higher up on the y axis
<em>Answer:</em>
<em>2 events</em>
<em>Step-by-step explanation:</em>
<em>There are four options. If 1 is selected, then we have two outcomes of the event. This means that there are two outcomes for the first event.</em>
<em>Hope this helps. Have a nice day.</em>
The answer in fraction form is c = 1/2
The answer in decimal form is c = 0.5
=============================
Explanation:
Saying "A is 1 less than B" means A = B-1. So whatever B is, subtract 1 from it and you get the value of A.
Replace A with the expression 2(3-5c). Replace B with 4(1-c)
We go from this
A = B - 1
to this
2(3-5c) = 4(1-c) - 1
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Let's isolate c
2(3-5c) = 4(1-c) - 1
2(3)+2(-5c) = 4(1)+4(-c) - 1
6-10c = 4 - 4c - 1
6-10c = 3 - 4c
6-3 = -4c+10c
3 = 6c
6c = 3
c = 3/6
c = 1/2
c = 0.5
