Answer:
Part a) 
Part b) 
Step-by-step explanation:
Part a)
Let
x -----> the number of weeks
y ----> the total amount Chem has deposited in a saving account
we know that
The equation of a line in slope intercept form is
where
m is the rate or slope of the linear equation
b is the y-intercept of the linear equation or initial value (value of y when the value of x is equal to zero)
In this problem we have that
The rate or slope is equal to
-----> amount deposited by Chem each week
The y-intercept or initial value is
----> amount deposited originally in the saving account
substitute the values
Part b) How much has Chem deposited 30 weeks after his initial deposit?
For x=30 weeks
substitute in the equation
<span>4x-2y=-1
</span><span>Slope = 2
x-intercept = -1/4
y-intercept = 1/2
</span><span>-4x+4y=-2
</span><span>Slope = 1
x-intercept = 1/2
y-intercept = 1/-2 </span>
Answer:
The vertices of image are (-48,48), (24,24) and (72,96).
Step-by-step explanation:
From the figure it is noticed that the vertices of triangle are (-4,4), (2,2) and (6,8).
The scale factor is 12 and the dilation is about the origin.
If a figure is dilated about the origin with scale factor k, then
Since the scale factor is 12.
The vertices of image are
Therefore the vertices of image are (-48,48), (24,24) and (72,96). The graph of image is shown below.
12/6=2
40/5=8
20/5=4
24/6=4
15/5=3
24/6=4
