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.
Answer:

Step-by-step explanation:
Given the expression: P= I + HB
Where:
- P = cost of the phone Liam is saving for.
- I = amount of money he started with.
- H = number of hours he babysits
- B = hourly rate for babysitting.
We want to find an expression for H, the number of hours Liam will need to babysit to save enough money for a cell phone.
Our goal is to isolate the variable H in the expression P= I + HB.
P= I + HB
Subtract I from both sides
P-I=I-I+HB
HB=P-I
Divide both sides by B

Answer:
b
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
y(x)=4x
y(x)=4
<=>4x=4
<=>x=1