Answer:
1. 32, 12
2. Enlargement
Step-by-step explanation:
Enlarged by a scale factor of 4
(Multiply all points by 4)
8 x 4 = 32
3 x 4 = 12
It is an enlargement because the points are larger than before.
Answer:
The total cost will be y = 0.46 + 0.20x.In this case, the intercept slope
Step-by-step explanation:
Ok so assuming the 0 means minus from typing problems
x^2-10x=-8
to completet the square
make sure the term in front of x^2 is 1
that is correct
then take 1/2 of the term in front of the x term and square it
-10/2=-5, (-5)^2=25
add that to both sides
x^2-10x+25=17
answer is the first equation
Answer:
y = -3x + 5
Step-by-step explanation:
Usually by drawing a simple graph, you can tell what the equation is, even if the graph isn't 100% accurate. From the points alone, you can tell that the slope is negative, since as you increase in x you decrease in y (which is a negative relationship). You can tell that it's +5 rather than -5 because the graph sketched shows that the line goes above 0 (indicating a positive number), rather than below (a negative number).
Answer:
y = 2*x + 4
Step-by-step explanation:
We know that a linear function can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
We know that if this line passes through the points (x₁, y₁) and (x₂, y₂) the slope can be written as:
a = (y₂ - y₁)/(x₂ - x₁)
So, here we know that our line must pass through the points (-2,0) and (0, 4)
Then the slope of this line is:
a = (4 - 0)/(0 - (-2))
a = 4/2 = 2
Then our line is something like:
y = 2*x + b
Now, to find the value of b we can use one of these two points, for example if we use the point (-2, 0), we know that, when x = -2, we must have y = 0.
0 = 2*(-2) + b
0 = -4 + b
4 = b
Then the equation for our line is:
y = 2*x + 4