Answer:
Let the amount of Danny be y
Therefore, lance will have 1/3y
Total fraction of cup is 1/1
y+y/3=1
4y/3=1
4y=3
y=3/4
therefore, lance had 3/4 of the cup of water
Answer:
Perpendicular (A)
Step-by-step explanation:
First find the gradient of the first line:
Change in y/ Change in x = -7-(-2)/ -9-(-12) = -5/3
Now find the gradient of the second line:
9-6/1-6 = -3/-5 = 3/5
When we multiply the gradient of two perpendicular lines we will get:
m1 x m2 = -1
If we multiply 3/5 and -5/3 we will get -1
Therefore it is perpendicular!
8) A. x + 2,
2) B. f(x) = (x -3) (x +9).
Step-by-step explanation:
Step 1; If the function equals 0, we substitute all the separate factors to 0. We keep the variable on the left side while all the other values go to the right side.
If f(x) = (x +3) (x -9) = 0, then x +3 = 0, x -9 = 0. So x = -3 and x = 9.
If f(x) = (x -3) (x +9) = 0, then x -3 = 0, x +9 = 0. So x = 3 and x = -9.
If f(x) = (x -3) (x -9) = 0, then x -3 = 0, x -9 = 0. So x = 3 and x = 9.
If f(x) = (x +3) (x +9) = 0, then x +3 = 0, x +9 = 0. So x = -3 and x = -9.
So if the factors are 3 and -9, option B is an answer.
Step 2; For the given graph, the same applies. The graph passes through the points of (-2, 0) and (4, 0) on the x-axis.
So if x = -2, then x +2 = 0 and if x = 4, x -4 = 0. The first equation is option A while the second equation is not given.
4 * 16 = 64, or 4 * 15 = 20.
Hope that hepls.
