Answer:
Step-by-step explanation:
The equation of a linear function in a slope-intercept form is written as
where
m is the slope of the line
q is the y-intercept
We proceed as follows. First of all, we find the y-intercept, which is the value of y at which the line touches the y-axis.
From the graph, we see that this occurs at y = 4, therefore the y-intercept is
Now we have to find the slope. We do that by choosing two points along the line, with coordinates 
and 
and by using the equation
Here we take the two points:
(0,4)
(-8,0)
So the slope is
Therefore, the equation of the line is
Answer:
m(u) = -0.25(u +2)² +1 or -0.25u² -u
Step-by-step explanation:
The equation is fairly easily written in vertex form, as the vertex point is on a grid line intersection at (-2, 1). The parabola opens downward, so the scale factor is negative.
The vertical change from the vertex is only a fraction of a unit when u differs from the vertex by 1. It is 1 unit when u differs from the vertex by 2, so the magnitude of the vertical scale factor is 1/2² = 1/4.
Our equation will be of the form ...
m(u) = (vertical scale factor)(u - (horizontal vertex location))² + (vertical vertex location)
For this graph, the equation is ...
m(u) = -0.25(u +2)² +1
or, simplifying, we get ...
m(u) = -0.25u² -u
B. $27,000
I hope helped ^-^
Answer:
6,489
Step-by-step explanation:
first you would multiply 7 and 9, which would be 63
7 x 9 = 63
then you would multiply 63 by 103 since they are being multiplied
63 x 103 = 6,489
Answer:
The angles in the triangle and 10, 80 and 90
Step-by-step explanation:
The two angles that are left in a right triangle add to 90 degrees
8:1 means that there total is 9
8x+1x = 9x
9x = 90
Divide by 9
9x/9 = 90/9
x = 10
8*10 = 80
1*10 = 10
The angles are 80 and 10
The angles in the triangle and 10, 80 and 90
