For questions #6 & #8, you didn't complete them or provide all necessary things (such as description, data, or graph). 5 − ≤ 20 is not an inequality, an inequality should be something like 5 - x ≤ 20, but you didn't give anything like that in your question.
7. (-1,4), (5,2), we can calculate the slope. As x increases from -1 to 5, (increases by 6), the y-value decreases by 2. -2/6 = -1/3, the slope is -1/3. The slope is negative and the y-value decreases by a third of the amount the x-value changes.
9. C, because you can only hold at MOST 500, and larger watermelons is represented by 10x. I'm assuming you made an error in your question, you gave me the values of larger/smaller watermelons only, and your question asked for larger & medium and the options seem to suggest there's only larger/smaller. 10x + 3y <= 500 or <, smaller than or equal would be the better choice if available.
10. y = 2x + 10, because 2 is the slope as minutes increase by 1, inches increase by 2, and the 10 inches of sawdust are already there.
When you offer Questions #6 & #8's data, I'll gladly help you with it. The rest of the questions are correct and properly explained.
Answer:
Parabola
Step-by-step explanation:
We are given that a function
The given function is an equation of parabola along y- axis.
General equation of parabola along y- axis with vertex (h,k) is given by
Compare it with given equation then we get
h=5, k=3
Vertex of given parabola =(5,3)
Substitute x=0 then we get
y-intercept of parabola is at (0,28).
His car gets 21 mpg (miles per gallon). With 1 gallon he can drive 21 miles. For example, with 10 gallons, he can drive 21 mpg * 10 gal = 210 miles.
He bought $19.50 worth of gas at $1.40 per gallon.
$19.50 / ($1.40/gal) = 13.93 gal
He already had 5 gal of gas in his tanks, so now he has
5 gal + 13.93 gal = 18.93 gal
With 18.93 gal, he can drive
18.93 gal * 21 mpg = 292.5 miles
One of the numbers are cut off but I figured it out with what I had:11 cu in