Answer:
He can only make 9
Step-by-step explanation:
He will have 4 cards left over so it will not be enough to make another stack.
Answer:
9. -6x+10
10. -24x +18y
11. 15y - 10z
12. -8x- 28
13. -7x + 14
14. -24x +12
Step-by-step explanation:
No but there's a website where you can calculate what grade you need in order to get a certain grade in the class. Just add the extra credit grade to the grade you have first.
Also, it's extra credit. Why wouldn't you do it? It's FREE points (sort of).
Just copy+paste this URL into your search bar:
http://finalexamcalculator.com/
There are 4 quarts in a gallon, and 2 pints in each quart. so take 10 gallons and multiply it by 4 then by 2 which gives you 80 pints in a gallon. or realize that there are 8 pints in a gallon so multiply 10 by 8 which again gives you 80.
80 pints in a gallon
there are 16 ounces in a pound, but you are trying to get back to the larger unit, rather than the smaller one, so you do the opposite of what we did in the first problem. We do the opposite of multiplying which is dividing. we divide 112 ounces by 16 to get back to pounds. 112 divided by 16 is 7
there are 7 pounds in 112 ounces
Short answer
y >-x + 4
y <= 2(x - 1)^2 - 18
Comment
Let's establish what we are talking about. The question says purple and to me purple means the shaded area above the blue and to the upper right of the parabola.
Not so. It is the wine colored area right above the parabola according to the direction of he inequalities.
Second thing: the question is trying to see if you can read all he information you need from a graph.
Step One
Find the equation of the line.
We can read 2 points right away the x and y intercepts.
(4,0) is the x intercept
(0,4) is the y intercept
The general equation for the slope intercept equation is
y = mx + b So when x = 0 then b = y
4 = m*0 + b
b = 4
This far we have
y = mx + 4
when x = 4, y = 0
0 = m*4 + 4 Subtract 4 from both sides.
-4 = m*4 Divide by 4
-4/4 = m
m = - 1
Complete equation is y = -1x + 4
The inequality is y > -x + 4 Top answer block.
Step Two
Find the equation for the parabola
You could just read the minimum point which is (1,-18) There is a catch. (Isn't there always?) This may have a constant in front of the (x - a)^2 term. We'll check that out in the next step.
y = (x - 1)^2 - 18 is the basic vertex solution
Step Three
Find the value of a in
y = a(x - 1)^2 - 18
You have to do this because the answer has a space before the brackets. We need another point. The y intercept might work.
y = a(0 -1)^2 - 18
Use the point (0,-16)
-16 = a(1) - 18
-16 = a - 18 Add 18 to both sides.
2 = a
So the equation of the quadratic is
y <= 2(x - 1)^2 - 18 <<<<<< answer second section down on your question sheet.
