The equation is:
I=100+12J+5T+7S+5H-8M
The given information is that I=197, J=5, T=5, H=3, and M=3, and we’re trying to solve for the amount of shorts (S) he sold.
We can plug in the variables into the equation:
(197)=100+12(5)+5(5)+7S+5(3)-8(3)
After simplification:
197=100+60+25+7S+15-24
We can add/subtract the constants:
197=100+60+25+7S+15-24
We will add/subtract the constants:
197=176+7S
We will subtract 176 from both sides of the equation to cancel it out and isolate 7S:
197-176=176-176+7S
21=7S
We will divide 7 from both sides of the equation to cancel it out and isolate S:
21/7=7S/7
3=S or S=3 with the symmetric property of Equality applied.
Therefore, he sold 3 pairs of shorts
<h2>We know that</h2>
The initial height is 20 feet above the ground.
The function to model the velocity is

Where <em>s</em> represents the distance in feet.
Mathematically, this function has all real numbers as a domain. However, that will no make sense for this situation, because it would use negative numbers for the distance <em>s</em> which does not make sense.
Therefore, the domain, in this case, would be all real numbers greater than or equal to zero, but less than or equal to 20.
<em>The reason for this domain is that the ball will go from 20 feet above the ground to zero feet on the ground.</em>
<em />
Using interval notation would be
Answer:
.023------ 7/30
.4------ 4/9
1.6----- 5/3
3.5------ 32/9
All I did was divide each fraction (the numerator by the denominator) and use the answer I got to match the fraction with the decimal.
hope this helps!
Answer:
y = 0x + 2
Step-by-step explanation:
Find the slope.
Slope = <u> y2 - y1</u>
x2 - x1
Plug in the points.
Slope = <u>2 - 2</u> = <u>0</u>
-7 - 8 -15
Pick a point to plug into the y = mx + b formula
I picked (8,2)
Now plug in the point and slope.
(Your teacher might prefer you to use 0/-17, but it can be simplified to 0, so I'll just use that.)
Equation: (2) = 0(8) + b
2 = 0 + b
2 = b (b = 2)
Now put your slope and the y-intercept into the equation, and it will be:
y = 0x + 2
It's a bit hard to show on keyboard, so I hope you understand.

Expand,

=

So the third choice would be your answer!
Hope this helps!