Answer:
7. x = -2 +/- 
8. x = 2 or x = 6
9. x = -2 +/- 
10. t = -3 +/- 
Step-by-step explanation:
7. Subtract 320 from both sides: 4(x + 2)^2 = -320
Divide by 4: (x + 2)^2 = -80
Square root both sides: x + 2 = +/- 
. We need to add the imaginary i to this: +/- = +/- 
= +/-
Subtract 2 from both sides: x = -2 +/-
8. Add 18 to both sides: 7(x - 4)^2 = 28
Divide by 7: (x - 4)^2 = 4
Square root both sides: x - 4 = +/- 2
Add 4 to both sides: x = 4 +/- 2 ⇒ x = 2 or x = 6
9. Add 5 to both sides: -2(x + 2)^2 = 13
Divide by -2: (x + 2)^2 = -13/2
Square root both sides: x + 2 = +/- 
. We again need i: +/- = +/- 
+/-
Subtract 2 from both sides: x = -2 +/-
10. Multiply by 5 on both sides: (t + 3)^2 = 35
Square root both sides: t + 3 = +/-
Subtract 3: t = -3 +/-
Hope this helps!
Answer: less than.
Explanation:
1) The function f(x)= [x] returns the integer number that is less than x.
2) For example,
[3.0] = 3
[3.01] = 3
[3.25] = 3
[3.55] = 3
[3.99] = 3
[4.00] = 4
Answer:
k = -8c.
Step-by-step explanation:
y^2 = kx
Find the slope of the tangent by differentiating:
y' 2y = k
y' = k / 2y = the slope of the tangent.
The given equation of the tangent is y = -2x + c so the slope = -2.
Therefore k/2y = -2 so k = -4y and y = -k/4
y^2 = kx so k^2/16 = kx giving x = k/16.
Substituting for x and y in y = -2x + c:
-k/4 = -2 k/16 + c
-k/4 = -k/8 + c
c = -k/4 + k/8 = -k/8.
So -k = 8c
k = -8c.
Answer:
C
Step-by-step explanation:
Because the minus makes the difference between the 2 numbers
