Answer:
3/4
Step-by-step explanation:
Given two points , we find the slope using the formula
m = (y2-y1)/(x2-x1)
= ( 5 - -1)/ ( 6 - -2)
= (5+1)/( 6+2)
= 6/8
= 3/4
Answer:
f(x) = x² - 2x - 15
Step-by-step explanation:
∵ The function intersect x-axis at -3 and 5
∴ f(x) = 0 at x = -3 , 5
∵ The form of the quadratic equation is ⇒ ax² + -b/a x + c/a = 0
ax² - b/a x + c/a = 0
Where the sum of its roots is b/a and their multiplication is c/a
∵ a = 1
∵ -3 , 5 are the roots of the quadratic equation
∴ b = -3 + 5 = 2
∴ c = -3 × 5 = -15
∴ f(x) = x² - 2x - 15
The answer is 40° I think
Answer:




Step-by-step explanation:
We need to match the slope of the function with the slope of the lines connecting the two points given. The slope of the lines are as follows:






Now,
the slope of the line BC matches with the slope of y=-3.5x-15.
the slope of the line DE matches with the slope of y=-0.5x-3.
the slope of the line HI matches with the slope of y=1.25x+4.
the slope of the line LM matches with the slope of y=5x+9.
and the slopes of the lines FG and JK do not match with any of the functions given.
Thus,




Given the universal set U = {v, w, x, y, z), and subsets A = {v, w, z} and B = {x, y, z), indicate the roster
lukranit [14]
If U = {v, w, x, y, z} and A = {v, w, z}, then
A' = {x, y}
(A' is the complement of A - it's the set containing all elements of U that are not in A)
If B = {x, y, z}, then
B' = {v, w}
Their their union is
A' U B' = {v, w, x, y}