Answer: y = x^2 - 2 does not represent a linear function because the squared exponent above the variable makes that equation quadratic. Quadratic equations look like parabolas on a graph, rather than lines.
Answer:
the graph corresponds to function "D" ![f(x)=3\,(\frac{1}{5} )^x](https://tex.z-dn.net/?f=f%28x%29%3D3%5C%2C%28%5Cfrac%7B1%7D%7B5%7D%20%29%5Ex)
Step-by-step explanation:
Since the graph shown corresponds to an exponential "decay" (the function decreases as we move from left to right), the base of the exponent has to be a number smaller than 1 (one). So we examine the only two options that give such (options C and D which have fractions as the base - 1/3 and 1/5 respectively)
From there, we analyze which of the two functions satisfies the crossing of the y-axis at (0,3) which is clearly shown in the graph:
We study both:
function C at x = 0 gives:
![f(x)= 5\,(\frac{1}{3})^x\\f(0)=5\,(\frac{1}{3})^0 \\f(0)=5\,(1)\\f(0)=5](https://tex.z-dn.net/?f=f%28x%29%3D%205%5C%2C%28%5Cfrac%7B1%7D%7B3%7D%29%5Ex%5C%5Cf%280%29%3D5%5C%2C%28%5Cfrac%7B1%7D%7B3%7D%29%5E0%20%5C%5Cf%280%29%3D5%5C%2C%281%29%5C%5Cf%280%29%3D5)
while function D at x = 0 gives:
![f(x)= 3\,(\frac{1}{5})^x\\f(0)=3\,(\frac{1}{5})^0 \\f(0)=3\,(1)\\f(0)=3](https://tex.z-dn.net/?f=f%28x%29%3D%203%5C%2C%28%5Cfrac%7B1%7D%7B5%7D%29%5Ex%5C%5Cf%280%29%3D3%5C%2C%28%5Cfrac%7B1%7D%7B5%7D%29%5E0%20%5C%5Cf%280%29%3D3%5C%2C%281%29%5C%5Cf%280%29%3D3)
Therefore, the graph corresponds to function "D"
Second one. The points should be at (-4,5) and the slope should be 3/2
It will read 6:00pm on -2 time zone.
Answer:$12.15
Step-by-step explanation:
Given
The regular price of an item ![\$81](https://tex.z-dn.net/?f=%5C%2481)
Maria gets a discount of ![85\%](https://tex.z-dn.net/?f=85%5C%25)
Amount paid after the discount is
![\Rightarrow 81(1-85\%)\\\Rightarrow 81(1-0.85)=85(0.15)\\\Rightarrow \$12.15](https://tex.z-dn.net/?f=%5CRightarrow%2081%281-85%5C%25%29%5C%5C%5CRightarrow%2081%281-0.85%29%3D85%280.15%29%5C%5C%5CRightarrow%20%5C%2412.15)