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3 years ago

Which graph represents a function with direct variation?

Mathematics

1 answer:

Elena L [17]3 years ago

5 0

Answer:

Second graph with straight diagonal lines

Step-by-step explanation:

The second graph with straight diagonal lines represents the direct variation

The X and Y axis represents two variables A and B and these two variables in case of second graph with straight lines are directly proportional to each other.

Hence, If value of variable A increases, then value of variable B will also increase

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Cameron mixed 1/4 cup lemon juice, 3/4 cup orange juice, and 2 1/4 cup water to make some fruit punch. He was serving 13 people.

olasank [31]

He made 3 1/4 total cups of fruit punch

to get this answer you would add 1/4 + 3/4 = 1 cup

then 1 + 2 = 3

finally adding 3 + 1/4 = 3 1/4 total cups of fruit punch

(Hope this makes since :D)

6 0

3 years ago

The midpoint of line CD is M(-3,-7). If the coordinates of C are (-2, -10), what are the coordinates of D?

Lynna [10]

Answer:

D = (-4, -4)

Step-by-step explanation:

Given;

midpoint of line CD = M(-3, -7)

coordinate of C = (-2, -10)

The coordinate of D is calculated as follows;

C(-2, -10)---------------------M(-3, -7)--------------------D

$M = \frac{D_1 + C_1}{2} \ , \ \frac{D_2 + C_2}{2} \\\\(-3, \ -7) = \frac{D_1 + (-2)}{2} , \ \frac{D_2 + (-10)}{2} \\\\(-3, \ -7) = \frac{D_1 \ - \ 2}{2} , \ \frac{D_2 -10}{2} \\\\-3 = \frac{D_1 \ - \ 2}{2} \ \ ----(1)\\\\-7 = \frac{D_2 -10}{2} \ -----(2)\\\\From \ (1): 2(-3) = D_1\ - \ 2\\\\-6 = D_1 - 2\\\\-6 + 2 = D_1\\\\-4 = D_1\\\\From \ (2) : \ 2(-7) = D_2 - 10\\\\-14 = D_2 - 10\\\\ -14 + 10 = D_2\\\\-4 = D_2\\\\The \ coordinate \ of \ D = (D_1\ , \ D_2)\\\\D = (-4 \ , \ -4)$

Therefore, the coordinate of D = (-4, -4)

6 0

3 years ago

It's a staple of American school lunches: peanut butter sandwiches (usually with jelly, too). The average American child will ea

HACTEHA [7]

Answer:

The number of peanuts that will be needed to make all the sandwiches a child will eat by graduation is approximately 141,667 peanuts

Step-by-step explanation:

The number of peanut butter sandwiches that an average American child will eat by the time she graduates from high school = 1500 peanut butter sandwiches

The number of sandwich taken every four days = 1 sandwich

The number of peanuts required to make 18-oz jar of peanut butter = 850 peanuts

The amount of peanut butter in an average sandwich = Two ounces

Therefore, we have by the time of graduation;

Each American child will have taken 1500 sandwiches

The 1500 sandwiches will have = 1500 × 2 ounce = 3,000 ounces of peanut butter

The number of 18-oz jars of peanut butter that will contain up to 3000-oz of peanut butter = 3000-oz/(18-oz) = 166.67 Jars

The number of peanuts required to make the 166.67 Jars of peanut butter = 850 peanuts/jar × 166.67 Jars = 141666.67 ≈ 141,667 peanuts

The number of peanuts that will be needed to make all the sandwiches a child will eat by graduation ≈ 141,667 peanuts.

6 0

3 years ago

A Pentagon is transformed according to the rule R0, 180°. Which is another way to state the transformation?

postnew [5]

The another way to state the transformation would be $(x,y)>(-x,-y)$

<u>Solution:</u>

Rotation about the origin at $180^\circ$ : $R_{180^\circ}A \rightarrow O = R_{180^\circ} (x, y) \rightarrow (-x,-y)$

The term R0 means that the rotation is about the origin point. Therefore, (R0,180) means that we are rotating the figure to $180^\circ$ about the origin.

So, the transformation of the general point (x,y) would be (-x,-y) when it is rotated about the origin by an angle of $180^\circ$ .

Hence according to the representation, the expression would be $(x, y) \rightarrow (-x, -y)$ .

8 0

3 years ago

Read 2 more answers

hram777 [196]

Answer:

Step-by-step explanation:

7 0

3 years ago