Y= 12 - x
27 + 3( 12 - x ) = 2x
1. a. Pretty much, you just have to rearrange it so that the highest power is in the front. So, here's your answer:
b. It's a 4th-degree polynomial. A degree means that "what's the highest power?"
c. It's a trinomial. It has 3 terms, hence it's a
trinomial.
2. a. Since it's an odd power and a negative coefficient, it will be:
x→∞, f(x)→-∞
x→-∞, f(x)→∞
b. The degree is even and the coefficient is negative, so it will be:
x→∞, f(x)→-∞
x→-∞, f(x)→-∞
3. a. This basically means that if you solve for x, you should get -2, 1, and 2. So, to do this, you can just write it in factored form and multiply inwards using any method of your choice (remember that in the parentheses, you should get the above value if you solve for x):

If you multiply it out, you get (also your answer):
4. The zeros are at
x = 3, 2 and
-7.
Multiplicity of 3 is
1, for 2 it's
2, and for -7 it's
3.
Hope this helps!
I'd say yes. If you use the diagonal as a reference. Take the square and set your compass to the width of the diameter of the square. Now put it on the page and mark a point. Put the point of the compass on that mark and make another mark. Now you can connect the two marks with the straight edge and you have a line that, if you made a square with sides that long, it'd have 2x the area of the first one. That's because the diagonal is the square root of 2 larger than one side. Square the square root of 2 and you've got 2. You lust need to make a perpendicular line to the first one to get the box going.
Answer:
x = 468%
Step-by-step explanation:
I see a proportion here.
we want to solve for the variable x in the proportion:
18% / (2 weeks) = ( x %) / (52 weeks)
here we should multiply 52 to boths sides
(52 weeks) * 18% / (2 weeks) = x %
26 * 18% = x %
x = 468 %
Hi!
A is <u>FALSE</u> - If you shrink a shape, it is not increased a shape, yet it is still dilating.
B is <u>TRUE</u> - When you dilate an angle, you're really just shortening or lengthening the sides, but the angle isn't changing.
C is <u>FALSE</u> - Explained above.
D is <u>FALSE</u> - Two triangles that are congruent are <em>exactly the same, </em>therefore if you dilate a triangle, you are changing the size so they are not the same.
E is <u>TRUE</u> - Similar shapes are always the same <em>except for their size. </em>When you dilate a shape, you only change the size, therefore they are equal in every other way and they are similar.