Answer:
5y+3x=-9
Step-by-step explanation:
Let us start by the general form of the standard equation, Ax+By=C. One way we can solve this problem is by finding the <u>slope-intercept form</u> of this equation, y=mx+b, and converting it into the standard equation. In the slope-intercept form, m represents the slope, b represents the y intercept.
From this problem, we are given both the slope and the y intercept. We know have the equation:
Great! Now let us rearrange the terms so that the y and x terms are on one side of the equation.
This seems right, but a standard equation must have coefficient values that are real numbers. So, A and B must be real numbers. We can do this by multiplying the entire equation by 5 and ridding the denominator of the A term.
<em>I hope this helps! Please let me know if you have any questions :)</em>
Answer:
domain: all real numbers
range: y≥0
Step-by-step explanation:
This graph includes all real numbers for values of x (the domain), but only includes 0 and above for the y values (the range)
Hope this helps :)
So if OP is a segment joining center O to point P, the MN is touching the circle on point P so it would be line MN.
Answer:
Kindly check explanation
Step-by-step explanation:
Verbal:
Score, x = 560
Mean, m = 460
Standard deviation, s = 132
Quantitative :
Score, x = 740
Mean, m = 452
Standard deviation, s = 140
a)
Verbal :
X ~ N(460, 132)
Quantitative :
X ~ N(452, 140)
(b)
What is her Z score on the Verbal Reasoning section? On the Quantitative Reasoning section? Draw a standard normal distribution curve and mark these two Z scores.
Zscore = (x - m) / s
Verbal :
Zscore = (560 - 460) / 132 = 0.758
Quantitative :
Zscore = (740 - 452) /140 = 2.057
(c.)
He has a higher standardized score in the quantitative than the verbal score.
(d.)
The Zscore shows that he performed better in the quantitative reasoning than verbal.
(e) Find her percentile scores for the two exams.
(f) What percent of the test takers did better than her on the Verbal Reasoning section? On the Quantitative Reasoning section?
Verbal :
Score greater than 560
P(x > 560) :
Z = (560 - 460) / 132 = 0.758
P(Z > 0.758) = 0.22423 = 22.4%
Quantitative :
Score greater than 740
P(x > 740) :
Z = (740 - 452) / 140 = 2.057
P(Z > 0.758) = 0.0198 = 1.98%
