Answer:
(a+2)(b+2) = 4
Step-by-step explanation:
We are given the following quadratic equation:

Let a a and b be the solution of the given quadratic equation.
Solving the equation:

We have to find the value of (a+2)(b+2).
Putting the values:

The inequality that represents how much money Caroline needs to earn will be m>35.
In this case, Caroline needs an amount that's greater than $35, therefore, the amount must be greater than $35
From the options given, the correct inequality will be m>35. This means m is greater than $35.
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Answer:
2x^2 = 6x - 5.
-x^2 - 10x = 34.
These have only complex roots/
Step-by-step explanation:
3x^2 - 5x = -8
3x^2 - 5x + 8 = 0
There are complex roots if the discriminant 9b^2 - 4ac) is negative.
Here the discriminant D = (-5)^2 - 4*-5*8 = 25 + 160
This is positive so the roots are real.
2x^2 = 6x - 5
2x^2 - 6x + 5 = 0
D = (-6)^2 - 4*2*5 = 36 - 40 = -4
So this has no real roots only complex ones.
12x = 9x^2 + 4
9x^2 - 12x + 4 = 0
D = (-12)^2 - 4*9 * 4 = 144 - 144 = 0.
- Real roots.
-x^2 - 10x = 34
x^2 + 10x + 34 = 0
D = (10)^2 - 4*1*34 = 100 - 136 = -36.
No real roots = only complex roots.
The formula is
I=prt
I interest earned 14.65
P initial deposit ?
R interest rate 0.025
T time 2 years
Plug in the formula
14.65=p×0.025×2
Solve for p
14.65=0.05p
Divide both sides by 0.05
P=14.65/0.05
P=293....answer
Hope it helps!
The price changed by $42 over the course of seven weeks