Answer:
option c will make ur answer correct just see 3(-6) + 2(2) = -14
Answer:
Yes
Step-by-step explanation:
A slanted straight line is one-to-one: It passes the "horizontal ilne test." This means that any line drawn horizontally through the given line intersects that line only once. The significance of this is that the given line/function has an inverse. y = x is one-to-one and has the inverse y = x. y = 2x is one-to-one and has the inverse y = (1/2)x.
Answer:
So, f(1) = 3;
a - a - a - 5 = 3;
- a - 5 = 3;
-a = 5 + 3;
-a = 8;
a = - 8;
f(x) = (-8)x^3 - (-8)x^2 + 8x - 5;
f(-2) = (-8)(-2)^3 - (-8)(-2)^2 + 8·2 - 5 = +64 - 32 + 16 - 5 = 43;
Step-by-step explanation:
Answer: Shirts are $9 each and hats are $8 each
Step-by-step explanation:
Let S be the price of a Shirt, and H the price of a Hat.
First Week: 4S + 9H = $108
Today: 17S + 21H = $321
We have 2 equations and 2 unknowns (S and H). Rearrange one of the equations to isolate one of the unknowns. I'll rearrange the first for S:
4S + 9H = $108
4S = $108 - 9H
S = ($108 - 9H)/4
S = 27 - 2.25H
Now use this value of S in the second equation:
17S + 21H = $321
17(($27 - 2.25H) + 21H = $321
Solve for H:
459 -38.25H + 21H = $321
-17.25H = - 138
H = $8
Each hat was $8.
Use this value in the first equation to find S:
4S + 9H = $108
4S + 9*($8) = $108
4S + $72 = $108
S = $9
Each shirt was $9.
==
Check to see if the numbers give the correct results:
4*($9) + 9*($8) = $108
17*($9) + 21*($8) = $321
Both yield the correct amounts. Shirts are $9 each and hats are $8 each.
Interesting question
Usually when you look at something like that construction, you think that AB has been bisected by PQ and that the two segments are perpendicular. They are perpendicular but nowhere is that stated. So the answer is C because all the other answers are wrong.
PQ is congruent AB is not correct. As long as the arcs are equal and meet above and below AB there is no proof of congruency. In your mind widen the compass legs so that they are wider than AB and redraw the arcs. You get a larger PQ, but it has all the original properties of PQ except size.
PQ is not congruent to AQ. How would you prove conguency? You'd have to put both lines into triangles that can be proved congruent. It can't be done.
The two lines are not parallel. They are perpendicular. That can be proven. They meet at right angles to each other (also provable).