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Ludmilka [50]
3 years ago
7

Which set(s) of points show x in DIRECT PROPORTION to y?

Mathematics
2 answers:
hodyreva [135]3 years ago
6 0

Answer:D){F, G, H} and {G, C, A} only

Step-by-step explanation:

vredina [299]3 years ago
5 0

Answer: OPTION D.

Step-by-step explanation:

For this exercise it is important to remember that:

1.  Direct proportion equations have the following form:

y=kx

Where "k" is the constant of proportionality.

2. The graph of Direct proportions is an straight line that passes through the origin.

Observe the picture attached.

If you join the points G, C and A, you get a straight line that passes through the origin,

If you join the points F, G and H, you also get a straight line that passes through the origin,

Therefore, the sets of points show "x" in Direct proportion to "y", are:

\{F, G, H\} and   \{{G, C, A}\}

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Please, its for a test!
-BARSIC- [3]

Answer:

No

Step-by-step explanation:

No

8 0
2 years ago
A caterer provides a conference banquet for a price of $40 per person for 20 or fewer people but will decrease the price by $1 p
mel-nik [20]

Answer:

The maximum revenue is $900, obtained with 30 people

Step-by-step explanation:

Naturally, the answer should be a number equal or higher than 20, because up to 20 persons, each one pays the same. Lets define a revenue function for x greater than or equal to 20.

f(x) = x*(40-(x-20)) = -x²+60x

Note that f multiplies the number of persons by how much would they pay (here, assuming that there are more than 20).

f is quadratic with negative main coefficient and its maximum value will be reached at the vertex.

The value of the x coordinate of the vertex is -b/2a = -60/-2 = 30

for x = 30, f(x) = 30*(40-(30-20))=30*30=900

So the maximum revenue is $900.

7 0
3 years ago
Mary read 2/5 of a book in 15 minutes. How much of the book can she read per hour? book per hour.​
Yuliya22 [10]

Answer:½((n/2) – ½) – ½ = 10

½(n/2) – ¼ - ½ = 10 (using the distributive property)

¼n – ¼ - ½ = 10 (multiplying to eliminate the parentheses)

¼n – ¾ = 10 (combining like terms)

¼n = 10¾ (adding ¾ to both sides of the equation)

n = 43 (dividing both sides of the equation by ¼)

Step-by-step explanation:

Let’s start by writing Josie’s first step as an expression. Dividing n by 2, then subtracting ½ from

the result would be (n/2) – ½. If we build on this expression with the information in Josie’s

second step, we get ½((n/2) – ½) – ½. Knowing the final result is 10, we can set up the equation

below, and solve for n as follows: hope this helps

8 0
2 years ago
Read 2 more answers
James drove 6 miles south and then 3 miles west.how far is he from his starting point
Minchanka [31]

Answer:

9 miles

Step-by-step explanation:

A 6+3 is nine

7 0
3 years ago
A 16-digit binary pattern converts to a ____ digit hexadecimal value.
Doss [256]

Solution -

In order to convert a binary number to hexadecimal ,we need to chunk the binary number into groups of 4 digits, adding 0 if necessary.

As the given number number is a 16 digit binary number, so when chunk in 4 digit groups, it will form 4 groups. Each group will represent a single digit in hexadecimal code.  

So, a 16-digit binary pattern converts to a 4 digit hexadecimal value.

7 0
3 years ago
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