Answer:
See explanations below
Step-by-step explanation:
Given the functions f(x)=2x+3 and g(x)=x^2-1
a. Find f(g(x))
f(g(x)) = f(x^2-1)
f(g(x)) = 2(x^2-1)+3
f(g(x))= 2x^2-2+3
f(g(x)) = 2x^2+1
Hence the composite function f(g(x)) is 2x^2+1
b) g(f(x)) = g(2x+3)
g(f(x) = (2x+3)^2-1
g(f(x)) = 4x^2+12x+9-1
g(f(x)) = 4x^2+12x+8
Answer:
21 weeks.
Step-by-step explanation:
To start, you have to get the pounds lost per week.
12/3=4
4 pounds lost per week.
Next, find out how many weeks it takes by solving this equation,
4x=84
Divide 84/4=21
Therefore, it took 21 weeks to lose 84 pounds.
First we try to frame the equation between the sale price and the final cost.
Let us consider, the price to be x and the final cost to be y, since the final cost is 75% of the price, we have the below equation
y = 0.75x
This is of the form of straight line equation y = mx +c where c =0 and m = 0.75
This means the function is linear since it satisfies a straight line equation.
So, we can eliminate options (3) and (4)
Now, the function is not a continuous one because the function is has definite value which is 0.75x and this make the function discrete. Hence option (2) is eliminated
Therefore we are left with option (1) which is the answer
Answer is (1) It is linear because the ratio of the change in the final cost compared to the rate of change in the price tag is constant
Answer: (x,y,z) = (-4,0,-2)
Step-by-step explanation:
Answer:
94.8
Step-by-step explanation:
Aera is : length *width
75.2 = 0.8 * x then x =94
Perimeter is : length + width =94 +0.8
