Answer: 2.1925153x10 to the 3rd
Step-by-step explanation: hope it helps
If you divide both sides of your inequality by five, you see that k must be less than 9
k < 9 that is equivalent.
You can make another equivalent inequality by multiplying both sides by 3.
3k < 27
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 )
I believe 10 bald eagles plz correct me if I'm wrong
Answer:
<u>k = 1.5</u>
Step-by-step explanation:
To find the value of k, at first we will find the point of intersection of the lines
y =2x –5 and y = –x+1
Solve the equations to together by equating the values of y
So, 2x - 5 = -x + 1
Solve for x
3x = 6 ⇒ x = 6/3 = 2
So, y = -x + 1 = -2 + 1 = -1
So, the point of intersection of the lines ⇒ (2,-1)
line y = kx –4 pass through the point of intersection of the lines
so, line y = kx –4 pass through the point (2,-1)
So, at x = 2 , y = -1
∴ -1 = 2k - 4
Solve for k
-1 + 4 = 2k
2k = 3
k = 3/2 = 1.5
<u>So, the value of k is 1.5</u>
