Given the function f(x) =-2/3x+2 solve for the x-and y-intercepts . Use the intercepts to graph the function .
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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
Let's assume,
Hence, the given equation can be written as:
y² - y - 6 = 0
Next step is to factor the trinomial. For that, break down the constant -6 into two multiples so that their addition will result the coefficient of y =-1.
So, 6 = -3* 2
And sum of -3 and 2 will give -1.
Therefore, we can replace -y with -3y + 2y. So,
y² - 3y + 2y - 6 =0
(y² - 3y) + (2y - 6) =0 Make the group of terms.
y(y - 3)+ 2(y -3) =0 Take out the common factor from each group.
(y - 3 ) (y + 2) = 0 Take out the common factor (y - 3).
So, y - 3 = 0 and y + 2 =0 Equate both factor equal to 0.
Hence, y = 3 and -2.
So,
Taking ln to each sides.
So, x = ln 3
But ln (-2) is not defined.
So, x = ln (3) is the real solution of the given equation.