Answer: Mackenzie bought 7 bags of popcorn and 10 candies.
Step-by-step explanation:
Let x represent the number of bags of popcorn that Mackenzie bought.
Let y represent the number of candies that Mackenzie bought.
She bought a total of 17 bags of popcorn and candies altogether. This means that
x + y = 17
She bought $99.50 worth of bags of popcorn and candies. Each bag of popcorn costs $8.50 and each candy costs $4. This means that
8.5x + 4y = 99.5- - - - - - - - - - - - - - 1
Substituting x = 17 - y into equation 1, it becomes
8.5(17 - y) + 4y = 99.5
144.5 - 8.5y + 4y = 99.5
- 8.5y + 4y = 99.5 - 144.5
- 4.5y = - 45
y = - 45/ - 4.5
y = 10
x = 17 - y = 17 - 10
x = 7
Answer:
Step-by-step explanation:
We are given the following in the question:
where r and r are the radius of the circle.
General equation of circle:
where(h,k,j) is the center of the circle and r is the radius of circle.
If the circle is centered at origin, then,
Equation of circle with radius R centered on origin
Inequality to describe the region that consist of all points lying between the sphere of radius r and R but not on the sphere is given by:
I’m not sure if you are talking about about this but here it is hope this helps.
Answer: choice A) -4
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Step 1) Draw a vertical line through 1 on the x axis
Step 2) Mark the point where the vertical line and the blue curve intersect (or cross each other)
Step 3) Draw a horizontal line through the point marked in step 2. Note how this horizontal line goes through -4 on the y axis.
So the point (1,-4) is on the blue curve. This means if x = 1 is the input then y = -4 is the output. Recall that y = f(x). So f(x) = -4 is the output as well when the input is x = 1.
In short, this is why f(1) = -4
