<h3>
Answer: D. g(x) = f(x)+4</h3>
The graph shows f(x) to have a y intercept at -1, which is where the diagonal line crosses the y axis. We want the y intercept to move to 3. So we must add 4 to the old y intercept to get the new y intercept.
We do this with every single point on f(x) to get g(x) = f(x)+4. This shifts the graph up 4 units.
Answer:
7 cups of flour
reason:
to find how much flour is needed, first you need to combine the two fractions.
to add the fractions, you first have to find a common denominator, which in this case is 15
multiply 1/5 by 3 to get 3/15, and 2/3 by 5 to get 10/15. combined, this is 13/15
since the answer is looking for the best estimate, you take the overall amount of flour, which would be 6 13/15, which is closer to 7 cups than 6
(I may be wrong this is just how I did it)
you didn't give the options but constant of proportionality is a number you have to multiply x by to get y.
y=kx is the equation that expresses the proportionality of x and y
the constant of proportionality is k, so k=2
y= kx becomes y=2x
so y = 2x should be the answer
Answer:
Step-by-step explanation:
If these 3 points are collinear, then we can find the slope of the linear function using any 2 of those points. Suppose we use (-4, 3) and (0, 1):
As we move from (-4, 3) to (0, 1), x increases by 4 and y decreases by 2. Hence, the slope of this lilne is m = rise/run = -2/4, or m = -1/2.
Using the slope-intercept formula y = mx + b and replacing y with 1, x with 0 and m with -1/2, we get:
1 = (-1/2)(0) + b, or b = 1. Then the desired equation is y = f(x) = (-1/2)x + 1
