Here are a couple I found:
<u>Similarities</u>:
- They have the same y-intercept of (0,5).
- They are both in slope-intercept form.
<u>Differences</u>:
- The line of y = -13x + 5 "falls" from left to right. The line of y = 2x + 5 "rises" from left to right.
- They have different x-intercepts. (y = 2x + 5 intersects (-
, 0) while y = -13x + 5 intersects at (
, 0)
<u></u>
<u>Explanation</u>:
Slope-intercept form is y = mx + b, and by looking at the equations, they both already fit that format, with m as their slope and b as their y-intercept. Also, since they both have a 5 as that "b," their y-intercepts are the same: (0,5).
As for differences, we can see that the coefficient in place of that "m" is positive in y = <u>2x</u> + 5 and negative in y = <u>-13x</u> + 5. Therefore, one line would rise due to their slope being positive and one would fall due to their slope being negative. They also have two different x-intercepts, which we can calculate by substituting 0 in place of the y, then isolating x.
Answer:
1) B. $12
2) B. Rich burns 1 more calorie per minute than Katie
3) C. Jeffery walks 5 meters per minute slower than Fumi.
Step-by-step explanation:
1) earnings / hours = salary
salary = 24/2 = 60/5 = 96/8 = 12
salary = $12
2) The question describes Rich's graph to have the function of "y=8x." The graph shown that represents Katie's number of burned calories has the function of "y=7x." From that we can conclude Rich burns one more calorie per minute. See attached file for graph.
3) The question describes Fumi's graph to have the function of "y=85x." In order to find the function of Jeffrey's graph, we must use the two points provided from the graph. The point (10, 800) tells us that the point (1,80) would also fall on the line. From that, we can determine Jeffery's function to be "y=80x." 80 is 5 less than 85, so Fumi walks 5 meters per minute faster than Jeffery.
Answer: 9.1
Step-by-step explanation:
Add all of the numbers up and divide by 8
Answer:
x > 
Step-by-step explanation:
Add 3 and 1 to get 4.
Use the distributive property to multiply 5 by 9−x.
Subtract 45/5 from both sides.
Since 44/4 and 45/4 have the same denominator, subtract them by subtracting their numerators.
Multiply both sides by -4/5, the reciprocal of -5/4. Since -5/4 is negative, the inequality direction is changed.
Multiply -1/4 times -4/5 by multiplying numerator times numerator and denominator times denominator.
Answer:
61
Step-by-step explanation:
Let's write out what we know:
Noon temp: 54
Over the day, the temperature:
increased 8, decreased 3, increased 14, decreased 2, and decreased 10.
54+8-3+14-2-10 = 61
