Kala drove 250 miles using 9 gallons of gas. at this rate how many gallons of gas would she need to drive 275 miles
1 answer:
Answer:
9.9 gallons
Step-by-step explanation:
To solve this problem, we need to cross multiply. Lets input the values (250, 275, 9) as shown below:
Next we cross multiply. We multiply 250 and x, and we multiply 9 and 275.
Now, lets put the values above back into the equation:
Lets solve this equation. First we divide 2,475 by 250, making x by itself.
This means that to drive 275 miles, Kala would need to use 9.9 gallons of gas.
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Answer: Answer is in the steps..
Step-by-step explanation:
f(x)= - 3x -5
A) To find the x intercepts of a parabola we have to set the whole equation equal zero because the x intercept is when y equal zero in other words where f(x) equal zero.
- 3x - 5 = 0 Now solve using quadratic formula.
x = -b±
x = 3 ±
x = 3 ± / 2a
x= 3 ± 7 /4
x= -1 or x = 5/2
The x intercepts are (5/2,0) and (-1,0)
B) The graph vertex of the graph of f(x) is going to be at a minimum because the leading coefficient of the function has a positive integer which means the parabola will open up and its vertex will be at the minimum point.
Using the x coordinates we could find their average and find the x coordinate of the vertex.
=
= 3/4
The x coordinate of the vertex is 3/4 so we will input that into the equation and solve for the y coordinate
= 18/16 - 9/4 -5 = -49/8
The y coordinate of the vertex is -49/8
So the vertex is (3/4, -49/8)
C) First I will graph the vertex and then graph he two x intercepts and connect then like a U shape.
Answer:
Step-by-step explanation:
step 1
Find the length side a
Applying the law of cosines
substitute the given values
step 2
Find the measure of angle B
Applying the law of sines
substitute the given values
step 3
Find the measure of angle C
Remember that the sum of the interior angles in any triangle must be equal to 180 degrees
so
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