She spent 1.97 on each beach ball
Answer:
-4
Step-by-step explanation:
For this case, the first thing we must do is define variables.
m: number of times you cut the grass
d: amount of dollars you earn.
We now write the linear equation that models the problem:
d = 12m
The slope of the line is 12, which means that each time you cut the grass, you earn 12 dollars.
Answer:
an equation for the number of dollars, d, you earn when you mow the lawn m times is:
d = 12m
Answer:
Ratio of x-coordinates:




Ration of y-coordinates:




Step-by-step explanation:
The table is asking for the ratio of x-coordinates for each point (A, B, C and D) for both the image and pre-image. The ratio is the image 'x' or 'y' value ÷ the pre-image 'x' or 'y' value. Each ratio should be expressed in simplest form and should show the same pattern of dilation, or same scale factor. In this case, the second figure is 1/2 the size of the original figure.
You know 1 is not a root because the sum of the coeffcients of the equation is 14, not zero.
It is fairly easy to try 3 by synthetic division (see attachment), which tells you that 3 is a root and the remaining quadratic factor is x²-3x-5. The quadratic formula tells you the roots of that factor are
... x = (-b±√(b²-4ac))/(2a) = (3±√29)/2
The appropriate choices are
... C. (3-√29)/2
... D. (3+√29)/2
... F. 3
_____
The quadratic formula tells you the solution to
... ax²+bx+c=0
is x = (-b±√(b²-4ac))/(2a)
We have a=1, b=-3, c=-5.