Answer:
The equation of the function: y = mx + b
- m = slope = (y₂ - y₁)/(x₂ - x₁) = [5 - (-3)]/(4 - 0) = (5 + 3)/4 = 8/4 = 2
- b = y-intercept = -3
Therefore, the equation is <u>f(x) = 2x - 3</u>
When x = 0, f(x) = 2(0) - 3 = <u>-3</u>
When x increases by 1, f(x) increases by <u>2</u> (slope = the rate of change)
Answer:
76
Step-by-step explanation:
(88+72+44+x)/4=70
88+72+44+x=280
204+x=280
x=76
Therefore, Tammy needs to score a 76 on her last test to get at least an average of 70.
Answer: -2
Step-by-step explanation:
3x+2y=16
x+y=4 multiply by -2
-2x-2y=-8
3x+2y=16 ------a
-2x-2y=-8 -------b
Add equation a and b
(3x+-2x)+(2y+-2y) = 16+(-8)
x+0=8 (y has been eliminated)
Answer:
D. decreases the demand for money.
Step-by-step explanation:
Money demand and interest rate has an inverse relationship.
An increase in the interest rate decreases the demand for money. An increase in the price of bonds results in a lower interest rate.
When the interest rate increases, an individual's opportunity cost for holding his money increases. In this condition, the person chooses to hold more bonds, thereby demanding less money.