Answer:
a.
Step-by-step explanation:
Each system has a different purpose. one for the cost, and one for the pounds.
x+y=12 is for the pounds
since each pound of dried fruit cost $6 and each pound of nuts cost $2, and you can only spend $40,
6x+2y=40
Answer:
The equation that matches the function shown is option;
C. 
Step-by-step explanation:
The given graph of the function is a sinusoidal graph
The values of 'x' and 'y' coordinates at the maximum, x-intercept and minimum points are given as follows;
x, 
y
0 0
π 1
2·π 0
3·π -1
4·π 0
We note that sin(π/2) = 1, sin(π) = 0 sin(3·π/2) = -1, and sin(4·π/2) = sin(2·π) = 0
Therefore;
y = the sine of half the x-value
Which is presented as follows;
.
Answer:
D
Step-by-step explanation:
This questions asks use to find what f(x) or y is, when x is equal to -2.
So, substitute -2 in for x in the equation.
f(x)=2(4)^x
f(-2)=2(4)^-2
Evaluate the exponent. Negative exponents follow this rule:
b^-x= 1/b^x
We have 4^-2. This will become 1/4^2 or 1/16
f(-2)=2(1/16)
Multiply
f(-2)=2/16
This fraction can be simplified. Both the numerator (top number) and denominator (bottom number) can be divided by 2.
f(-2)=2/2 / 16/2
f(-2)= 1/8
The correct choice is D. 1/8
(-2,3)(4,-1)
slope = (3 + 1)/(-2 - 4) = 4/-6 = -2/3
equation
y + 1 = -2/3(x - 4)
