Answer:A
Step-by-step explanation:
We are asked to find for an expression that represents the perimeter of a picture frame which has a shape of a rectangle. The dimensions given are length of size x cm and a width of size 9 cm.
The formula for the Perimeter of a rectangle is given by
P=2L+2W
where L is the length and W is the width of the rectangle.
Hence,
P=2(x)+2(9)
Simplifying this values would give us a result of,
P=2x+18
Therefore, 2x+18 is the expression that represent the perimeter of the picture frame.
Step-by-step explanation:
(a)
ii.
21 - 5 = 16 play only chess.
iii.
23 - 5 = 18 play only cards
5 play both.
that is 16+18+5 = 39 that play at least one of these games.
i.
so, 45 - 39 = 6 don't play any of these games.
(b)
we have 16+18 = 34 pupils out of 45 that play exactly one game.
so the probabilty to pick one of them is as usual
desired cases / total cases = 34/45 =
= 0.755555555... ≈ 0.76
Ok, so we see in
y=a(x-h)^2+k
vertex is (h,k)
vertex is highest or lowest point
on one side, it goes up and other side it goes down
if a is positive, then it goes down then up
if a is negative, it goes up then down
we see
f(x)=2(x+3)^2+2
2 is positive
goes down then up
vertex is (-3,2)
so decreases from -infinity to -3 or ininterval
(-infinity,-3)
answer is first option
Answer:
<u>$33.25</u>
Step-by-step explanation:
Taking Eric's hours as a ratio to the total hours :
- 3.5 : 3.5 + 2
- 3.5 : 5.5
- 3.5 x 2 = : 5.5 x 2
- 7 : 11
Multiply the ratio into the amount paid :
- 52.25 x 7/11
- 4.75 x 7
- <u>$33.25</u>
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Eric's share of the money is <u>$33.25</u>
