Answer:
A. Voters age 40 and over are least likely to favor road expansion.
The answer is D.
9/12 = 3/4
16/24 = 2/3
2/3 is not equivalent to 3/4
Selection C is appropriate.
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Whenever you solve for something, consider what operations are done to that something. Undo them in reverse order.
Here, "a" is
• multiplied by 2
• has -b^2 added
The last operation is adding -b^2, so we undo that first. We undo it by adding its opposite, b^2.
.. x +b^2 = 2a -b^2 +b^2
.. x +b^2 = 2a . . . . . . . . . . . the point is to cancel the -b^2 term on the right.
The operation before that is multiplying "a" by "2". We undo that by multiplying by the reciprocal of 2, which is 1/2.
.. (1/2)*(x +b^2) = (1/2)*2a
.. (x +b^2)/2 = a . . . . . . . . . the point is to cancel the multiplication by 2 on the right.
You will note this matches answer selection C.
Answer:
Step-by-step explanation:
Angles 153 and QRP are straight angles, and thus Angle QRP is
180 - 153, or 27 degrees.
The interior angles of the triangle must sum up to 180 degrees:
27 + (3y + 5) + (2y - 7) = 180.
combining like terms, we get:
5y - 25 = 180, or 5y = 155, or y = 31
Then Angle Q is 3(31) + 5, or 93
Angle P is 2(31) - 7, or 55, and
Angle QRP is 27 degrees (found earlier).
Answer: D
<u>Step-by-step explanation:</u>
Vertex form is: f(x) = a(x - h)² + k where (h, k) is the vertex.
f(x) = (x - 3)² - 5
- the vertex is (3, 5).
- "a" is positive (+1), so it points upward.
The only graph that matches is the last one, <em>which I called graph D.</em>
