Answer:
x=6
Step-by-step explanation:
2x+(4x+3)=39
2x+4x+3=39
6x+3=39
6x=39-3
6x=36
x=36÷6
x=6
Lightly draw a vertical line at -3 (x= -3 is the divider) on the left side graph x + 1, on the right side graph 1/2x + 2.
because these equations don't match up at the -3 coordinate, you have to draw an open (not colored in) circle at the beginning at the 1/2x-2 equation
Preserved the size because 12inchs is = to 1 ft.
Answer
y = 1(x +1) - 3
Explanation
A quadratic equation of the form y = ax^2 + bx + c
This written in complete the square form provides you with the vertex (either a maximum or minimum point depending on the equation).
This results in y = a(x + p) + q
Where - p is the x value and q is the y value of turning point.
For graph 22, x = -1 and y = -3
Therefore, the equation is of the form
y = a(x + 1) - 3 (*)
We still need the value a, this can be obtained by using the y-intercept we are given.
We are told x = 0 when y = -2
Substitute this in (*) equation:
-2 = a(0+1) - 3
-2 = a - 3
a = 1
Therefore final equation is
y = 1(x +1) - 3
This should provide you with the train of thought of how the second question should also be tackled.
If unsure about why the equation
y = a(x + p) + q gives the vertex ask in comments I will respond
60% of trip = 45 miles
let total trip distance = l
60% is given by multiplying by 0.6
So;
0.6l = 45 \\ \\ l = \frac{45}{0.6} \\ \\ \boxed{l = 75}
Your answer is 75 miles
