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Sloan [31]
3 years ago
5

At right of this situation predict how the line would change to represent the average Cost of gas in december of 2005 when gas C

ost $2.20 per gallon on average
Mathematics
1 answer:
rjkz [21]3 years ago
3 0
The average cost represents the slope of the line of the graph.
Increasing the slope of the graph increases the steepness of the line.
Therefore, increasing the average cost of gas from $1.50 to $2.20 will increases the steepness of the line. (i.e. the line becomes closer to the vertical line).
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Solve the system of inequalities to decide if the point (-3,2) is part of the solution; y<=-4x-3, +8y>=7
inna [77]

Answer:

(x,y) = (-3,2) is a solution

Step-by-step explanation:

Given

y \le -4x + 3

x + 8y \ge 7

Required

Determine if (x,y) = (-3,2) is a solution

y \le -4x + 3 becomes

2 \le -4 * -3 + 3

2 \le 15 --- this is true

x + 8y \ge 7

-3+ 8 * 2 \ge 7

13 \ge 7 --- this is also true

Hence,

(x,y) = (-3,2) is a solution

6 0
3 years ago
Please help and get these points
Masja [62]

Answer:

y = 15x

Step-by-step explanation:

The biggest giveaway here is the other answers have<em> </em>+ a whole number at the end of the equation. We would see this + as a y-intercept on the graph.

Since our line had no y-intercept and starts from zero, y =15x can be used to represent the graph shown

Another way to know this is to look at the points marked on the line. There is a point at (2, 30). By plugging these co-ordinated into y = 15x we get 30 = 30, which makes sense

6 0
3 years ago
Read 2 more answers
A box has a volume of 308 cm cubed. Its height is 4 cm greater than its length. Its length is 3 cm greater than its width. What
kifflom [539]

Answer:

4 cm.

Step-by-step explanation:

Given:

A box has a volume of 308 cm cubed.

Its height is 4 cm greater than its length.

Its length is 3 cm greater than its width.

Question asked:

What is the width of the box?

<u>Solution</u>:

Let width  = x\ cm

Length = x+3\ cm

Height = x+3+4=x+7\ cm

<u>As we know:</u>

<u />Volume\ of\ box=length\times width\times height

308=(x+3)\times x\times(x+7)\\ \\ 308=(x^{2} +3x)(x+7)\\ \\ 308=x^{2} (x+7)+ 3x(x+7)\\ \\ 308=x^{3} +7x^{2} +3x^{2} +21x\\ \\ 308=x^{3} +10x^{2} +21x\\ \\ Subtract\ 308\ from\ both\ sides\\ \\ x^{3} +10x^{2} +21x-308=0\\ \\ factor\ left\ side\ of\ equation\\ \\ (x-4)(x^{2} +14x+77)=0\\ \\  Set\ factors\ equal\ to\ 0.\\ \\ x-4=0 \ or\  x^{2} +14x+77=0\\ \\ \\

As width can never be in negative, x= 4\ cm

By substituting the value:-

Width  = x\ cm = 4 cm

Thus, width of the box is 4 cm.

4 0
3 years ago
PLEASE PLEASE HELP ME!
Sladkaya [172]

Answer:

y=3/4m

Step-by-step explanation:

All proportional relationships have the form y=mx where m is the rate of change from the families donations x to the business donations y. We can find the rate of change m by substituting values we already know. We know when x=$12 then y=$9.

9=m*12

We solve for m by dividing by 12 on both sides.

m=9/12

This simplifies to 3/4 so

m=9/12=3/4.

The equation is y=3/4m

3 0
3 years ago
Which of the following statistical measures is least appropriate for describing the data set shown below?
stealth61 [152]

mean is the answer nnnnnnnnn

4 0
4 years ago
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