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3 years ago

Which equations represent functions?

Mathematics

1 answer:

never [62]3 years ago

4 0

Answer:

2x + 3y = 10, 3y = 18 (in both cases, for each input x, there is exactly one output y.

Step-by-step explanation:

3y = 10 - 2x, or y = (1/3)(10 - 2x) Yes, this is a function.

4x = 16 → x = 4 NOT a Function, because for x = 4 there are an infinite number of possible y -values

2x - 3 = 14 → 2x = 17 → x = 17/2 Not a function. See reason given above.

3y = 18 → y = 6 Function

2x = 14.6 → x = 7.3 Not a function. See reason given above

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the area of a triangular sail is given by the expression 1/2bh, where b is the length of the base and hi is the height. What is

PIT_PIT [208]

Area= 1/2 b xh
Sooo= 1/2 x 12 x 7= 42

Answer: 42 inches squared

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2 years ago

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Ipatiy [6.2K]

Answer: 210 tickets

Explanation:

1. Multiply the number of tickets he sold on Monday (21) by 3. (21x3=63)

2. Multiply the number of tickets he sold on Tuesday (63) by 2. (63x2=126)

3. Add all of those together to get the answer. (21+63+126=210)

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2 years ago

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A taxi company charges $1.00 for the first mile (or part of a mile) and 20 cents for each succeeding tenth of a mile (or part).

meriva

Step-by-step explanation:

solving functions separately.

1st: from given data taxi charges $1.00 for the first mile.so it is first rule of function.

$y_{1} =1 , 0$

2nd: the company charge $0.20 per tenth of a mile.so 2nd rule of the function will be

$y_{2} =1+0.2.10(x-1)$

simplifying

$y_{2} =1+2(x-1)$

$y_{2} =x+2x-2$

$y_{2} =x$ , $1$

piece wise function is f(x)={2 , 0<x<1

{x , 1<x<2

the graph of the function is given below

7 0

3 years ago

Tickets for the homecoming football game are being sold for $12 for alumni and $7 for students. The stadium holds a maximum of 5

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12a + 7(2000) > = 38000
12a + 14000 > = 38000
12a > = 38000 - 14000
12a > = 24000
a > = 24000/12
a > = 2000 <==== at least 2000 alumni would have to buy tickets

8 0

3 years ago

Translate this problem to an equation and solve. The area of a patio is 72 square feet. The length of the patio is 1 foot longer

Inessa05 [86]

A = LW
A = 72
L = W + 1

72 = W(W + 1)
72 = W^2 + W
W^2 + W - 72 = 0
(W + 9)(W - 8) = 0

W + 9 = 0
W = -9......extraneous solution...does not work here

W - 8 = 0
W = 8 <==

L = W + 1
L = 8 + 1
L = 9

so the width (W) is 8 ft and the Length is 9 ft

7 0

2 years ago