Here, Cotton fabric = 2 yards
yards of fleece fabric = 2 1/2 yards
Total fabric = 2 + 2 1/2 = 4 1/2
In short, Your Answer would be: Option C
Hope this helps!
Question 21
Let's complete the square
y = 3x^2 + 6x + 5
y-5 = 3x^2 + 6x
y - 5 = 3(x^2 + 2x)
y - 5 = 3(x^2 + 2x + 1 - 1)
y - 5 = 3(x^2+2x+1) - 3
y - 5 = 3(x+1)^2 - 3
y = 3(x+1)^2 - 3 + 5
y = 3(x+1)^2 + 2
Answer: Choice D
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Question 22
Through trial and error you should find that choice D is the answer
Basically you plug in each of the given answer choices and see which results in a true statement.
For instance, with choice A we have
y < -4(x+1)^2 - 3
-7 < -4(0+1)^2 - 3
-7 < -7
which is false, so we eliminate choice A
Choice D is the answer because
y < -4(x+1)^2 - 3
-9 < -4(-2+1)^2 - 3
-9 < -7
which is true since -9 is to the left of -7 on the number line.
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Question 25
Answer: Choice B
Explanation:
The quantity (x-4)^2 is always positive regardless of what you pick for x. This is because we are squaring the (x-4). Squaring a negative leads to a positive. Eg: (-4)^2 = 16
Adding on a positive to (x-4)^2 makes the result even more positive. Therefore (x-4)^2 + 1 > 0 is true for any real number x.
Visually this means all solutions of y > (x-4)^2 + 1 reside in quadrants 1 and 2, which are above the x axis.
Answer:
Below in bold.
Step-by-step explanation:
You would join the faces with the greatest area
That is the faces with dimensions 3 feet by 5 feet.
Answer:
10x + 9
Step-by-step explanation:
-1 - (-10x - 10)
Distribute.
-1 + 10x + 10
10x + 9
Answer:
5.7 feet
Step-by-step explanation:
Total cloth area recquired to make a bag and a towel is 22.23 square feet
Given the area of the cloth recquired to make the bag is 5.13 square feet.
The area of cloth recquired to make the towel is = 22.23-5.13=17.1 square feet
given the height of the towel = 3 feet
let the length of the towel be x
We know that 
area=3x
therefore the length of the towel is 5.7 feet
