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mixas84 [53]
3 years ago
14

Which of the following statements best describes the graph of x + y = 4?

Mathematics
1 answer:
joja [24]3 years ago
5 0

Answer: The correct option is, It is a line joining the points whose x and y coordinates add up to 4.

Step-by-step explanation:

The given equation is, x+y=4

when we take x = 1 then

1+y=4

y=3

when we take x = 2 then

2+y=4

y=2

From this we conclude that the sum of 'x' and 'y' coordinates is always equal to 4.

Hence, the correct answer is, It is a line joining the points whose x and y coordinates add up to 4.

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An open box is made from a square piece of cardboard 30 inches on a side by cutting identical squares and turning up the sides.
pychu [463]

Step-by-step explanation:

A)

The length of the box is 30 − 2x inches.

The width of the box is 30 − 2x inches.

The height of the box is x inches.

So the volume is:

V = x (30 − 2x)²

B)

V(3) = 3 (30 − 6)² = 1728

V(4) = 4 (30 − 8)² = 1936

V(5) = 5 (30 − 10)² = 2000

V(6) = 6 (30 − 12)² = 1944

V(7) = 7 (30 − 14)² = 1792

As x increases, the volume of the box increases to a maximum and then decreases.

C)

The ends of the domain occur when V = 0.

0 = x (30 − 2x)²

x = 0 or 15

So the domain is (0, 15).

3 0
3 years ago
The ratio of tom’s age to Mary’s is 3:4.If Tom is 15 how old is Mary
AnnZ [28]
Hey there!

Tom's age to Mary's is 3:4; an equivalent ratio is 15:x (x symbolizes Mary's age).

To solve for this, we need to divide our proportions. By that, I mean divide Tom's older age by his younger age. If we do so, we should get a scale factor that we can multiply Mary's younger age by.

15 / 3 = 5

This means that the scale factor of the ages is 5.

x / 4 = 5 (Solving for Mary's unknown age.)

To solve for x, multiply both sides by 4.

x/4 * 4 = x
5 * 4 = 20

x = 20

Mary's age is 20.

I hope this helps!
3 0
3 years ago
A figure is triangular in shape and is semicircular at the bottom. find perimeter and area of figure
asambeis [7]
Fr we need the measurements to do the work bro
5 0
3 years ago
HURRY PLEASE PLZ 10 POINTS Please some1 help me. jodi built a rectangular sandbox for her daughter. The sand measures 6 feet 5 f
ratelena [41]
Box:
Length = 6 feet
Width = 5 feet
Hight = 1.2 foot

Volume of the box = LxWxH
Box volume = 6x5x1.2 = 36 cubic feet
The Box holds 36 cubic feet of sand.

While Jodi bought 20 cubic feet of sand
Which means that Jodi is short by:
36 - 20 = 16 cubic feet.
4 0
3 years ago
Read 2 more answers
1 point
stepan [7]

Answer:

y = 250x

Step-by-step explanation:

<em>The options are not given; however, the question can still be answered.</em>

Given

Direct Proportion:

In 20 minutes, y = 250 bottles

Required

Determine the graph

<em>In the first 20 minutes, y = 250</em>

<em>In the next 20 minutes, y = 250 + 250 = 500</em>

<em>In the next 20 minutes, y = 500 + 250 = 750</em>

<em />

This gives a arithmetic sequence:

250, 500, 750, ........

Next, is to determine the equation of the sequence using;

T_n = a + (n - 1)d

In this case;

T_n = y

x = n

a = 250

d = 750 - 500 = 500 - 250 = 250

Substitute these values in the above formula;

y = 250 + (x - 1) * 250

Open Bracket

y = 250 + 250x - 250

Collect Like Terms

y = 250x + 250 - 250

y = 250x

Hence; the graph that shows the given description is the graph with equation y = 250x

4 0
3 years ago
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