Answer:
y= -x+7, b= sqrt(2P/a), c=3P^2-b
Step-by-step explanation:
First, make a table regarding both of the equations. You will eventually find out that both lines intersect at the point (2, 5) after you find the points on the table. From there, subtract x from both sides in the equation x + y = 2. You will get y = -x + 2. Since they said the line was parallel, find a line that has the slope of negative one. Since we know that this line intersects the point in which the first two lines intersect, we know that the y-intercept will be 7. The equation of the line would be y=-x+7.
Multiply both sides by 2. Then, divide both sides by a to get b^2=(2P/a). Take the square root to get the value of b, which is sqrt(2P/a).
Square both sides of the equation to get P^2=(b+c)/3. Cross multiply to get 3P^2=b+c. Subtract b from both sides to get c=3P^2-b.
Answer:
$175
Step-by-step explanation:
let the original price be x
if 1/5 is off the price then the sells is at 4/5
4/5 of x = 140
thus,
4/5* x=140
4x = 140*5
x=700/4
x=$175
Answer: 40 students.
Step-by-step explanation:
To solve this problem you mmust apply the steps shown below:
1. You know that there is a total of 100 students, then you can say that the 100% is 100 students.
2. Then, to calculate how much would 40% be, you must multiply 100 students by 40% which you rewrite as a decimal by dividing it by 100, as following:
40%/100=0.4
Then 40% of the students would be
100 studens*0.4=40 students
Answer:
n ≥ -17
Step-by-step explanation:
Writing a symbolic inequality, we get:
10 - 3n ≤ 61
Solve this for 3n by adding 3n to both sides of this equation:
10 ≤ 61 + 3n
Solve for n by subtracting 61 from both sides and then dividing all of the resulting terms by 3:
-51 ≤ 3n (divide both sides by 3):
-17 ≤ n, or
n ≥ -17
Answer:
108
Step-by-step explanation:
