Answer:
Well we are adding by 10 for every 1 increase in x. So slope is 10 / 1 = 10. (1. a slope of 10) is an answer.
We want x = 1 to have y = -5 Slope form is y=mx+b. We know m = 10 bec slope is 10. We have the point (1,-5) on the graph so we solve for b by plugging:
-5 = 10(1) + b and this is b = -15. So graph has function y = 10x-15.
b is the y-intercept so (3. a y-intercept at (0,−15)) is an answer.
Answer:
12 bow ties
Step-by-step explanation:
1/2 yard = 1.5 feet = 1 bow tie
1.5 x 2 = 3 feet
1 yd = 2 bow ties
18/3 = 6 yards
6 x 2 = 12 bow ties
Answer:
When y = |x + h|, the graph is shifted (or translated) <u>to the left.</u>
When y = |x - h|, the graph is shifted (or translated) <u>to the right.</u>
Step-by-step explanation:
Part A:
The parent function of vertex graphs are y = |x|, and any transformations done to y = |x| are shown in this format (also known as vertex form): y = a|x - h| + k
(h , k) is the vertex of the graph.
So, for the first part, what y = |x + h| is saying is y = |x - (-h)|.
The -h is substituted for h, and negatives cancel out, resulting in x + h.
This translates to the left of the graph.
Part B:
For the second part, y = |x - h| looks just like the normal vertex form. In this one, we are just plugging in a positive value for h.
This translates to the right of the graph.
Answer:
8 in
Step-by-step explanation:
RA = 4 in, RB = 2 in
oil height in A = hA = 2 in
Find oil height in B = hB
volume of oil in A = VA = π*RA² * hA
equal amount means volume of oil in B VB = VA
But VB = π*RB² * hB
so π*RA² * hA = π*RB² * hB
then
hB = hA *(RA/RB)² = 2 * (4/2)² = 8 in
Answer:
21.98
Step-by-step explanation:
7*3.16=21.98
