Answer:
x = -1/2 ( 3±sqrt(37))
Step-by-step explanation:
x^2 + 3x − 7 = 0
Add 7 to each side
x^2 + 3x =7
Using complete the square
Taking the coefficient of x
3
Divide by 2
3/2
Square it
(3/2)^2 = 9/4
Add this to each side
x^2 + 3x+ 9/4 = 7+9/4
( x+ 3/2) ^2 = 28/4 + 9/4
( x+ 3/2) ^2 = 37/4
Take the square root of each side
x+3/2 = ±sqrt(37/4)
x+3/2 = ±sqrt(37) / sqrt(4)
x+ 3/2 = ±sqrt(37) / 2
Subtract 3/2 from each side
x = -3/2 ±sqrt(37) / 2
x = -1/2 ( 3±sqrt(37))
Answer:
43 9/10 miles
Step-by-step explanation:
2(1 3/4) + 2(20 1/5) = 2(7/4) + 2(101/5) = 14/4 + 202/5 = 7/2 + 202/5
common denominator will be 10
7(5) = 35
202(2) = 404
35/10 + 404/10 = 439/10 = 43 9/10 miles
9514 1404 393
Answer:
a) y = 0 +3x
b) 3; the line rises 3 units for each unit to the right
c) (0, 0); the line crosses the y-axis at y=0
Step-by-step explanation:
a. The y-intercept is the point on the y-axis where the line crosses. That point is (0, 0). The y-coordinate there is the value of b in the equation.
The slope is the ratio ...
m = rise/run
The points marked are separated by 3 units vertically for each 1 unit horizontally. Points on the right are above those on the left, so the "rise" is positive for a positive "run".
m = 3/1 = 3
Then the equation is ...
y = 0 + 3x
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b. The slope is 3. It is the ratio of rise to run.
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c. The y-intercept is 0. It is the y-coordinate of the point where the line crosses the y-axis.
If you add all the numbers on the right together you get -35 then you divide by 5 which gives you the average of -7*F