F(x) = x^2 -2x + 4
f(-2) = (-2)^2 -2(-2) +4
f(-2) = 4 + 4 + 4
f(-2) = 12
12 is your answer
Hope this helps
Hello!
I was going to try to use the slope formula, and solve for the y-intercept, but the given graph is hard to distinguish accurate ordered pairs. So, we will find the equation with the graph instead.
Looking at the graph, we can see that the y-intercept is negative. Also, we can also determine that each square represents one unit. So, the y-intercept has to be -3/2 or -1.5. That removes the choices A and C because the y-intercept is in between the values of -1 and -2.
Secondly, the graph has a positive slope. Why? When the x-values increase, the y-values increase. Also, when the x-values decrease, the y-values also decrease. This tells us that the graph has a positive slope (this doesn't remove any choices, but it helps to distinguish which graph has a positive or negative slope).
Finally, we know that if the slope is greater than one, then it is steeper (m > 1). But, if it's less than one, then it becomes less steep (0 < m < 1). Looking at the graph, the graph looks relatively steep (graphing the equations y = 5/7 x - 3/2 and y = 7/5x - 3/2 can help you see the differences between them).
Therefore, the equation of the line given by the graph is choice D, y = 7/5 x − 3/2.
Cost of flakes per ounce is $0.1204 ,
a. If a box cost $77.05 then approximately 640 pounds of flakes are in box.
b. Cost of 2-pound flakes is $3.8525.
As given,
Cost of flakes = $0.1204/ounce
a.
Cost of a box =$77.05
1 pound =16 ounces
$0.1204 =1 ounce
⇒$77.05 =77.05 /0.1204
= 639.95
≈ 640 ounces
= 40 pounds
b. Cost of 2 pounds =(77.05 /40)× 2
= $3.8525
Therefore, there are
a. Approximately 640 pounds of flakes are in box.
b. Cost of 2-pound potato flakes is $3.8525.
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