Answer:
Step-by-step explanation:
First create an equation in slope-intercept form, y = mx + b. To do this, find the rate of change or slope (m), and the y-intercept (b).
Using two pairs, (-7, -3) and (-8, -4),
m = 1
To find b, substitute m = 1, x = -7 and y = -3 into y = mx + b.
Thus:
-3 = (1)(-7) + b
-3 = -7 + b
-3 + 7 = b
4 = b
b = 4.
Replace y with f(x), m with 1 and b with 4 in y = mx + b.
The function would be:
Answer:
-2
Step-by-step explanation:
slope formula is (y2-y1)/(x2-x1)
1 - -7 / -1 - 3
8 / -4
-2
The lowest rate of interest at which money is being borrowed
Answer:
156
312 and
39
Step-by-step explanation:
Let Allen be A , Jane be J and Bob be B
Allen has 4 times as Bob
So
A = 4B
Jane has twice as Allen
So
J = 2A
Together, Allen and Jane has 468 cards
A + J = 468
Substitute 2A for J in the third equation.
We have
A + J = 468
A + 2A = 468
3A = 468
Divide both sides by 3
3A/3 = 468/3
A = 156
Recall
A = 4B
Therefore
156 = 4B
Divide both sides by 4
156/4 = 4B/4
39 = B
B = 39
Also,
J = 2A
J =2 x 156
J = 312
Allen has 156 cards
Jane has 312 cards and
Bob has 39 cards
A counterexample is an example which opposes an idea. The idea that all freshman girls are going to the dance can be opposed by saying that one of them will not be going. If one out of a group does not go to the dance, then the statement that all of these girl types are going would be a false statement. Most of the freshman girls will be going, aside from one. Roberta is causing problems for this statement. You'd better tell her to straighten her act up!
