Answer:
y = -x - 7
Step-by-step explanation:
If two lines are parallel to each other, they have the same slope.
The first line is x + y = 1.
First, let's put this into standard form.
x + y = 1
y = -x + 1
Now we have an equation in standard form. Its slope is -1. A line parallel to this one will also have a slope of -1.
Plug this value (-1) into your standard point-slope equation of y = mx + b.
y = -x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (-7, 0). Plug in the x and y values into the x and y of the standard equation.
0 = -1(-7) + b
To find b, multiply the slope and the input of x (-7)
0 = 7 + b
Now, subtract 7 from both sides to isolate b.
-7 = b
Plug this into your standard equation.
y = -x - 7
This equation is parallel to your given equation (y = -x + 1) and contains point (-7, 0)
Hope this helps!
Answer:
700.058824 but rounded to the nearest tenth it would be 700.1.
Step-by-step explanation:
Answer: see work below
Step-by-step explanation:
1) 3(2f + 4)
distribute the 3
= 6f + 12
2) 3(4t + 2)
distribute the 3
= 12t + 6
3) 7(6k -2v)
distribute the 7
= 42k - 14v
4) 5(2q - 9)
distribute the 5
= 10q - 45
(im not sure what the red mark is. if it's a negative than my answer would be opposite: -10q + 45)
5) 3(2e + 5t)
distribute the 3
= 6e + 15t
(im not sure what the red mark is. if it's a negative my answer would be opposite: -6e -15t)
6) 4(3r - 5)
distribute the 4
= 12r - 20
<h2>
Answer:</h2>
The following which is not a requirement of a standard form of equation Ax+By=C is:
b) B ≥ 0
<h2>
Step-by-step explanation:</h2>
We know that the standard equation of a line is given by:

where A,B and C are integers and A is taken to be a non-negative integer i.e. (A≥0) also the greatest common factor of A,B and C is: 1.
Also A and B can't be both zero.
Hence, the correct option is:
Option: b
Answer:
The percentage of students who scored below 620 is 93.32%.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:

Percentage of students who scored below 620:
This is the pvalue of Z when X = 620. So



has a pvalue of 0.9332
The percentage of students who scored below 620 is 93.32%.