Answer:
15x + 3y = 10.
Step-by-step explanation:
you have to solve for y.
isolate the variable.
15x + 3y = 10
start by subtracting 15x on both sides.
3y = -15x +10
then divide both sides by 3
y = -15/3x + 10/3
simplify.
y = -5x + 10/3
10/3 can be written as 3.33
or 3 and 1/3
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:
Step-by-step explanation:
Given
Required
Determine the volume
Volume is calculated as:
Substitute values for Length, Width and Height
<em>Hence, the volume of the box is </em>
<em></em>
48－4=44,in the left
6×7=42,in the right
44＞42,so ＞ is the answer
Don’t do that math anymore soooo sorry
