What is the equation of the line?
Answers
Answer:
A)
Step-by-step explanation:
The line passes through the origin, so its y-intercept is (0,0). Therefore, we can eliminate choices B and C since they have a y-intercept ≠ 0.
Also recall that the rate of change in a linear function is defined by the change in y divided by the change in x, or the rise/run. We see there's a rise of 4 and a run of 7. Therefore, the slope of the line is 4/7, making choice A correct.
Related Questions
If f(x) = -1/x, then f'(x) = 1/x^2. Theorem seems to suggest that the integral from -1 to 1 of 1/x^2 dx would equal f(1) - f(-1) = -1 -1 = -2. But 1/x^2 is a positive function and so its integral over [-1,1] should be positive. What is wrong here?
A survey of 1000 young adults nationwide found that among adults aged 18-29, 35% of women and 30% of men had tattoos. Suppose that these percentages are based on random samples of 500 women and 500 men. Using a 2.5% level of significance, can you conclude that among adults aged 18-29, the proportion of all women who have tattoos exceeds the proportion of all men who have tattoos?
Baby Unicorns have a weekly training schedule, flying for 4 hours per day on some days and 2 hours per day on the other days. They fly a total of 24 hours in a seven-day week. On how many days do they fly for 4 hours?
Find the area of the figure.The area issquare units.
Answers
Answer:
use f(x)=y=mx+b
let snow = S, time = t instead of y and x
S(t)=mt+b
The rate of inches per hour represents the slope of the graph, m.
The y-variable would be the amount of snow, S.
The x-variable would be the time, t, in hours.
The function has three pieces:
i) S(t)= 2t (slope = 2)
ii) S(t) = 3t (slope = 3)
iii) S(t) = 0.75t (slope = 0.75)
For the first piece, i), t=3, so the amount of snow is 6 inches.
For the second piece, ii) t=5, so the amount of snow is 15 inches.
For the third piece, iii) t=1, so the amount of snow is 0.75 inch.
In total, it snowed 21.75 inches.
total snow
Final answer:
To find the total accumulation of snow during the nine-hour snowstorm, we calculate the snow accumulation for each hour and then sum them up. The total accumulation of snow from the storm is 21.75 inches.
Explanation:
To find the total accumulation of snow during the nine-hour snowstorm, we need to calculate the amount of snow that fell during each hour and then sum them up. First, we calculate the snow accumulation for each hour:
- For the first 3 hours, it snowed at a rate of 2 inches per hour, so the accumulation is 3 * 2 = 6 inches.
- For the next 5 hours, it snowed at a rate of 3 inches per hour, so the accumulation is 5 * 3 = 15 inches.
- For the final hour, it snowed at a rate of 0.75 inch per hour, so the accumulation is 1 * 0.75 = 0.75 inches.
Finally, we sum up the accumulations for each hour: 6 + 15 + 0.75 = 21.75 inches. Therefore, the total accumulation of snow from the storm is 21.75 inches.
Learn more about Snow accumulation here:
#SPJ11
Answers
variable represents. Enter the commission rate as a decimal.
+
s (select)
The inequality that represents the situation is
S = (select)
Answers
Answer:
2400 + (0.05X) = 2900
Therefore, the amount of sales that Liz will have to make to meet her goal is $ 10,000.
Step-by-step explanation:
Since Liz earns a salary of $ 2,400 per month, plus a commission of 5% of her sales, and she wants to earn at least $ 2,900 this month, to find amounts of sales that will meet her goal, the following equation must be solved:
5/100 = 0.05
2400 + (0.05X) = 2900
0.05X = 2900 - 2400
0.05X = 500
X = 500 / 0.05
X = 10,000
Therefore, the amount of sales that Liz will have to make to meet her goal is $ 10,000.
Answers
brainly.com/question/9495706
Answers
Answer:
Yes
Step-by-step explanation:
A function is a set of ordered pairs in which each x-element has only ONE y-element associated with it, but while it may NOT have two y-values assigned to the same x-value, it may have two x-values assigned to the same y-value.
The points (5,2) and (8,2) have the same y value, but their x values are different. It is a function (there are no values of x for which we have more than one value of y).
Answers
Answer:
(x - 1) (x - 2) (x + 2) (x + 3)
Step-by-step explanation:
Factor the following:
x^4 + 2 x^3 - 7 x^2 - 8 x + 12
The possible rational roots of x^4 + 2 x^3 - 7 x^2 - 8 x + 12 are x = ± 1, x = ± 2, x = ± 3, x = ± 4, x = ± 6, x = ± 12. Of these, x = 1, x = 2, x = -2 and x = -3 are roots. This gives x - 1, x - 2, x + 2 and x + 3 as all factors:
Answer: (x - 1) (x - 2) (x + 2) (x + 3)