Answer:
137
Step-by-step explanation:
2(-9)^2+5(-9)+20
2(81)-45+20
162-45+20
117+20
137
Y = - 10x has a negative slope, m = -10, and a y-intercept of (0, 0).
The graph includes the following points:
{(-2, 20), (-1, 10), (0, 0), (1, -10), (2, -20)}.
Attached is a screenshot of the graph, where it includes the y-intercept crossing along the point of origin, (0, 0).
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Answer: He rode 4.8 miles each day.
Variable: x = Constant distance distance traveledd each day.
Equation : 10+5x=34
Step-by-step explanation:
Total distance needs to travel = 34 miles
Distance already traveled = 10 miles
He will ride bicycle for 5 more days.
Let x = Constant distance distance traveledd each day.
Total distance = 10+5x
i.e.

Hence, he rode 4.8 miles each day.
Answer: Third option:
Step-by-step explanation:
The equation in Slope Intercept form of a line that does not pass through the point (0,0), which is known as "Origin, is the following:

Where "m" is the slope of the line and "b" is the y-intercept.
The equation in Slope Intercept form of a line that passes through the Origin, is:

Where "m" is the slope of the line.
In this case you can observe in the picture attached that the line passes through the point (0,0).
You can also notice that "y" would be the Dependent variable and "x" the Independent variable.
Therefore, the equation of this must have this form:

The only equation that matches with that form, is the one given in the Third option. This is:

Solving the inequality for g
Move the 6 over by subtraction and you have:
4.5g ≤ 34
Then divide each side by 4.5
g = 7.55555
So Ellis can purchase at lease 7 gallons but not 8 (D)