Option 1: 
is the right answer
Step-by-step explanation:
The slope-intercept form is given by:
Here m is the slope and b is y-intercept
Given
m = -3
Point = (-1,6)
Putting the value of slope
To find the value of b, putting the given point (-1,6) in the equation
Putting the value of b in slope-intercept form
Hence,
Option 1: is the right answer
Keywords: Equation of line, slope
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Answer:
for the second column it is 12.5
for the third column it is 20%
for the fourth column it is 120%
for the fifth column it is 33%
for the sixth column it is 11.35
for the seventh column it is 900
for the 8th column it is 60%
for the final column it's 39
Step-by-step explanation:
Answer:
14C + 70B
Step-by-step explanation:
Let us represent:
The number of cans = C
The number of bottles = B
Her truck is filled with cans that weigh 14 ounces each and bottles that weigh 70 ounces each. There is a combined total of 880 cans and bottles in her truck.
The expression for the combined total weight (in ounces) of the cans and bottles in her truck is given as
Total weight in out = 14 × C + 70 × B
= 14C + 70B
When:
C + B = 880
x=(13±3√17)/2x
≈ 12.68465843, 0.31534156
Which would be 12.7 and 0.3 If you rounded to the nearest tenth.
The equation of the first line can be written in point-slope form as
.. y = 3(x +1) -8
or
.. 3x -y = 5
The equation of the second line can be written in 2-point form as
.. y = (-1-3)/(10-(-6))*(x +6) +3
.. y = (-1/4)(x +6) +3
or
.. x +4y = 6
A graph shows the solution to this system is (x, y) = (2, 1).
_____
The second equation can be used to write an expression for x:
.. x = 6 -4y
This can be substituted into the first equation.
.. 3(6 -4y) -y = 5
.. 18 -13y = 5 . . . . . . . collect terms
.. 13 = 13y . . . . . . . . . add 13y-5
.. 1 = y . . . . . . . . . . . . divide by 13
From the above equation for x
.. x = 6 -4*1 = 2
