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2 years ago

Select all the statements that best describe the table below.

Mathematics

1 answer:

guapka [62]2 years ago

7 0

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The Correct statements are :

The rate of change is not constant

The relationship is non linear

Independent variable is Age

Dependent variable is selling price

It is a negative relationship

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A piece of duct measures 48 inches. When pieces are fitted together, 1 12

bearhunter [10]

Answer:

A piece of duct measures 48 inches.

In each connection, we lost 1 1/2 inches (i guess that it is what you wanted to write)

Then:

If we have 7 pieces of duct connected we have 5 connections (the ones in the extremes are not connected between them, so the number of connections is equal to the number of ducts minus two.)

So here we have 7 times 48 inches for the pieces, minus 5 times 1 1/2 in (i will write 1 1/2 = 1 + 0.5 = 1.5 in, so the math is easier) for the connections, the length is:

L = 7*48in - 5*1.5in = 328.5 inches.

for the 12 pieces duct, we have 12 pieces and 10 connections, so the length is:

L = 12*48in - 10*1.5in = 561 in

Now, if we want to make only one duct with those two, then we must add their lengths, but if we connect them, we also need to subtract the 1.5in of the new connection:

L = 561in + 328.5in - 1.5in = 888in

3 0

3 years ago

Solve the system of equations. 2y - 3x = -27 5y + 3x = 6 What is the x ?

REY [17]

Answer:

x= 9 +2y/3

x= 2 -5y/3

3 0

3 years ago

CHCK Farms raises hens and roosters. They have enough space to raise at most 300 birds per year. Each hen eats 80 pounds of food

svp [43]

Answer:

The number of hens is 100 and the number of roosters is 200.

Step-by-step explanation:

Let the number of hens be x and the number of roosters be y

then the total number of hens and roosters, is 300

so,

$x+y \leq 300$ ----------------------------(1)

Also the hen eats 80 pounds of food per year and roosters eats 60 pounds of food per year,

$80x+60y \leq 20000$ ----------------(2)

To solve the equations , multilpy eq(1) by 80

$80x+80y \leq 24000$ ------------------(3)

Subracting (2) from (3)

$20y \leq 4000$

$y \leq 200$

substituting y in eq(1) we get

$x+200 \leq 300$

$x \leq 300-200$

$x \leq 100$

7 0

4 years ago

Solve the following system of equations graphically. x + y - 4 = 0 x - y = 0 The solution lies in quadrant _____. A.I B.II C.III

marin [14]

Quadrant 1 should be your answer

3 0

4 years ago

The slope of a line that is parallel to each line whose equation is given

Kobotan [32]

Parallel lines, slope is the same so
1) 3x+8y = 12
8y = -3x + 12
y = -3/8(x) + 3/2, slope = -3/8

slope of a line that is parallel = -3/8

2)5x+4y = 5
4y = -5x + 5
y = -5/4(x) + 5/4; slope is -5/4

slope of a line that is parallel = -5/4
--------------------
perpendicular, slope is opposite and reciprocal

3)
3x+8y = 11
8y = -3x + 11
y = -3/8(x) + 11/8. slope = -3/8
slope of perpendicular line = 8/3

4)
x = -7, slope is undefined
so slope of perpendicular line is 0

5)
3x+2y = 12
2y = -3x + 12
y = -3/2(x) + 6 ; slope = -3/2

5x - 6y = 8
6y = 4x - 8
y = 2/3(x) - 4/3; slope is 2/3

slope is opposite and reciprocal, so the equals are perpendicular

6)
3x + y = 5
y = -3x + 5; slope = -3

6x + 2y = -15
2y = -6x - 15
y = -3x - 7.5; slope = -3

both have slope = -3 so equations are parallel

3 0

3 years ago