For the first graph, part a). The limit of f(x) as x approaches 2 from the LEFT follows the line y = 4, which ends at the hollow point (2, 4). This means that the limit is 4.
First graph, part b), The limit as x approaches 2 from the RIGHT follows y = -1, with a hollow point at (2, -1). This means that the limit is -1.
Second graph: We approach x = 3 from the left, following the downward sloping line which ends at the hollow point (3, -1). This means that the limit is -1.
Third graph: We approach x = 3 from the right, following the horizontal line that ends at (3, 3). This means that the limit is 3.
Note that when talking about one-sided limits, we use the hollow point's y-value which the function approaches. However, when looking at the value of f(x), we would use the solid point.
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Ans is 86 - 14x
Steps in image :-
When I tried it, None of the answers offered are correct. The solutions is where the line/parabola intersect. Tell me if I did anything wrong. https://www.desmos.com/calculator/fpz7tjaugu
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Answer:</h2><h2>x=37.5° and angle ABC is 52.5°</h2><h2>
Step-by-step explanation:</h2>
We know that angle CBD is a right angle.
We also know that angle ABE is 180°.
Our unknown angle values are angle DBE and angle CBA.
angle CBD minus angle ABE will be 90°.
angle ABC plus angle DBE must equal 90°.
Solving for x:
(x+15)+(x)=90°
(x+15-15)+(x)=90°-15
(x)+(x)=75°
2x=75°
2x/2=75°/2
x=37.5°
Checking the work:
ABC=37.5°+15=52.5°
CBD=90°
DBE=37.5°
In conclusion, ABC plus CBD plus DBE equals 180°
<em>Hope this helped!</em>
Answer:
y = 13x
Step-by-step explanation:
First we need to take the number miles the Johnson family drove and divide it to the number of gallons of gasoline used to find how many miles per gallon
Miles per gallon = 52/4
Miles per gallon = 13
Now that we know how many miles per gallon, let's make an equation to find how much they can travel on a full tank of 15 gallons.
Let y = number of miles traveled
Let x = number of gallons
y = 13x
Now let's see how much they can travel in 15 gallons.
y = 13x
y = 13(15)
y = 195 miles
So the Johnson family can drive 195 miles on a full tank of 15 gallons of gasoline.
