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aleksklad [387]
3 years ago
5

a bus started with a full gas tank. if on the trip he spent 5/12 one way and 1/2 back. how much gasoline is left in the tank?

Mathematics
1 answer:
weeeeeb [17]3 years ago
5 0

Answer:

1/12

Step-by-step explanation:

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The parabola with equation $y=ax^2+bx+c$ is graphed below:
Mashutka [201]

Answer:

m-n=2

Step-by-step explanation:

Instead of using the standard form, we can use the vertex form of a quadratic equation:

f(x)=a(x-h)^2+k

Where a is the leading coefficient, and (h, k) is our vertex.

Our vertex point is at (2, -4). So, let’s substitute 2 for h and -4 for k:

f(x)=a(x-2)^2-4

Now, we need to determine a.

We know that it passes through the point (4, 12). So, when x is 4, y must be 12. In other words:

12=a((4)-2)^2-4

Solve for a. Subtract within the parentheses:

12=a(2)^2-4

Add 4 to both sides:

16=a(2)^2

Square:

16=4a

Solve:

a=4

Thererfore, the value of a is 4.

So, our function is:

f(x)=4(x-2)^2-4

Now, let’s find our roots. Set the equation to 0 and solve for x:

0=4(x-2)^2-4

4=4(x-2)^2\\1=(x-2)^2\\x-2=\pm1 \\ x=2\pm1 \\ x=3\text{ or } 1

So, our roots are 1 and 3.

The greater root is 3 and the lesser root is 1.

Therefore, m-n, where m>n, is 3-1 or 2.

Our final answer is 2.

4 0
3 years ago
Read 2 more answers
What is the equation of a line, in point- slope form, that passes through (5, -3) and has a slope of 2/3?
Alika [10]
<h3><u><em>Option B</em></u></h3><h3><u><em>The equation of a line, in point- slope form, that passes through (5, -3) and has a slope of 2/3</em></u></h3><h3><u><em /></u>y + 3 = \frac{2}{3}(x -5)<u><em /></u></h3>

<em><u>Solution:</u></em>

<em><u>The equation of line in point slope form is given as:</u></em>

y - y_1 = m(x-x_1)

Where, "m" is the slope of line

Given that,

slope = 2/3

m = \frac{2}{3}

The line passes through (5, -3)

Substitute m = 2/3 and (x_1, y_1) = (5, -3) in point slope form

y - (-3) = \frac{2}{3}(x -5)\\\\y + 3 = \frac{2}{3}(x -5)

Thus equation of line in point slope form is found

8 0
3 years ago
Work out the smallest integer value of x that satisfies the inequality 4x-3&gt;22. ( I have not learned this question in maths )
matrenka [14]

4x>22+3

4x>25

x>25/4

x>6.35

5 0
3 years ago
Tom wants to put up Christmas lights around his house.
Alex_Xolod [135]

Answer:

525 meters

Step-by-step explanation:

8 0
3 years ago
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Were there more people that were under 20 or 20 and over ?<br> A.under 20 <br> B.20 and over
frutty [35]
The answer would be B
6 0
3 years ago
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