Answer:
22) y=1/4x-3/4
23) y=-1/3x-9
Step-by-step explanation:
22 ) Using the rise/run strategy, we can find the slope. From (-1,-1) you go up 1 unit to reach the same level as (3,0), and go right 4 to reach (3,0). This means your rise/run is 1/4, which is also your slope. Now to find the y-intercept, we can use the equation format y=mx+b. m is your slope, which we have, and b is the y intercept. With y and x, we can substitute in a point we already know, for example (-1,-1) as (x,y). When everything we know is substituted in, we get -1=(1/4)(-1)+b. According to PEMDAS, we should now multiply 1/4 and -1 to get (-1/4). Now our equation is -1=-1/4+b. To isolate B, we need to add 1/4 on both sides. As a result, you'll get -3/4. Your y intercept is -3/4. Thus, the final equation is y=1/4x-3/4.
23) This question is a lot more straight forward than question 22. In this question, you're already given everything in the equation to substitute everything in. Like I said before, the format for a linear equation is y=mx+b where m is your slope and b is your y intercept. This question already gives you both the slope and y intercept, so you can just fill it in. (m = -1/3, b= -9) Thus, you'll get y=-1/3x-9.
Answer: 6.35444444×10^13 gallons
Step-by-step explanation:
So a dishwasher uses 444 gallons of water per load.
That means it'll use 444*215215215 = 95555555460 gallons of water for 215215215 loads
Since washing dishes by hand takes 666 as much as water in comparison to using a dishwasher, we can do 95555555460x666 to find that you need 6.36399999×10^13 gallons of water to wash 215215215 loads.
The question asks for how much more water in gallons you can save, so do 6.36399999×10^13 - 95555555460 to get 6.35444444×10^13 gallons
75% of the teachers were first-year teachers
Step-by-step explanation:
the formula for percentage will be used for the problem
The percentage is given by:
Here
Total teachers = 57+19 = 76
First-year teachers = 57
So,
Hence, 75% of the teachers were first-year teachers
Keywords: Percentage, Percent
Learn more about percentage at:
#LearnwithBrainly
Answer: c. On average, a 1 percentage point difference in chemistry score is associated with a 0.919 percentage point difference in geometry score
Step-by-step explanation:
Given that:
Slope value = 0.91857341
The dependent and independent variables are ;
Dependent Variable: Geometry
Independent Variable: Chemistry
Slope is the rate of change in the dependent variable per unit change in the independent variable.
Hence, from the information given, we can conclude that for every 1% change in chemistry score (independent variable), there is a corresponding approximately 0.919% change in geometry score (dependent variable).
Total miles= rate x time
We can set up 2 eq:
24=(x+8)(y-4)
24=xy
Where x is equal to my original rate
and y is equal to the original time spent traveling the 2mi
We can now solve for one of the variables and find our rate
