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stepan [7]
4 years ago
5

Simplest form 1/4 + 1/12

Mathematics
1 answer:
mart [117]4 years ago
5 0

5/12 is the simplest form that it can be simplified to.

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Find a parabola with equation y = ax2 + bx + c that has slope 5 at x = 1, slope −11 at x = −1, and passes through the point (2,
azamat

By "slope" I assume you mean slope of the tangent line to the parabola.

For any given value of <em>x</em>, the slope of the tangent to the parabola is equal to the derivative of <em>y</em> :

y=ax^2+bx+c\implies y'=2ax+b

The slope at <em>x</em> = 1 is 5:

2a+b=5

The slope at <em>x</em> = -1 is -11:

-2a+b=-11

We can already solve for <em>a</em> and <em>b</em> :

\begin{cases}2a+b=5\\-2a+b=-11\end{cases}\implies 2b=-6\implies b=-3

2a-3=5\implies 2a=8\implies a=4

Finally, the parabola passes through the point (2, 18); that is, the quadratic takes on a value of 18 when <em>x</em> = 2:

4a+2b+c=18\implies2(2a+b)+c=10+c=18\implies c=8

So the parabola has equation

\boxed{y=4x^2-3x+8}

6 0
3 years ago
PLZ HELP ME ASAP!!!!!!!!
soldier1979 [14.2K]

THINK AND RELAX TAKE A DEEP BREATH

3 0
3 years ago
What is the equation of the line in slope-intercept form?
Anuta_ua [19.1K]

Answer:

B IS THE ANSWER

Step-by-step explanation:

6 0
3 years ago
What is the answer to Y=6x 4x+Y=7
dsp73

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

( 7 /10 , 2/1 5 )

Equation Form:

x = 7 /10 , y = 2/1 5

6 0
3 years ago
The sum of the measures of the interior angles of a convex polygon is 1800 degrees? How many sides does the
AVprozaik [17]

Answer:

12 sides

Step-by-step explanation:

Given

Sum of interior angle = 1800 degrees

Required

Number of sides of the polygon

The sum of interior of a convex polygon is calculated using the following formula:

Sum = (n - 2) * 180

Where n is the number of sides of the polygon.

By substituting 1800 for Sum, we have

1800 = (n - 2) * 180

Divide through by 180

\frac{1800}{180} = \frac{(n - 2) * 180}{180}

10 = n - 2

Add 2 to both sides

10 + 2 = n - 2 + 2

12 = n

Re order

n = 12

Hence, the number of sides of the polygon is 12

6 0
3 years ago
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