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3 years ago

URGENT !!!!!!!!! Please answer correctly !!!!! Will be marking Brianliest !!!!!!!!!!!!!!!!

Mathematics

2 answers:

Xelga [282]3 years ago

6 0

Answer:

sure .

Step-by-step explanation:

I answer and then give me brainliest. sorry I am being rude

alekssr [168]3 years ago

4 0

Pts srry ........//.....

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Write an equation of a parabola that passes through (3,-30) and has x-intercepts of -2 and 18. Then find the average rate of cha

Nookie1986 [14]

Answer:

The equation of the parabola is $y = \frac{2}{5}\cdot x^{2}-\frac{32}{5}\cdot x -\frac{72}{5}$ . The average rate of change of the parabola is -4.

Step-by-step explanation:

We must remember that a parabola is represented by a quadratic function, which can be formed by knowing three different points. A quadratic function is standard form is represented by:

$y = a\cdot x^{2}+b\cdot x + c$

Where:

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

$a$ , $b$ , $c$ - Coefficients, dimensionless.

If we know that $(3, -30)$ , $(-2, 0)$ and $(18, 0)$ are part of the parabola, the following linear system of equations is formed:

$9\cdot a +3\cdot b + c = -30$

$4\cdot a -2\cdot b +c = 0$

$324\cdot a +18\cdot b + c = 0$

This system can be solved both by algebraic means (substitution, elimination, equalization, determinant) and by numerical methods. The solution of the linear system is:

$a = \frac{2}{5}$ , $b = -\frac{32}{5}$ , $c = -\frac{72}{5}$ .

The equation of the parabola is $y = \frac{2}{5}\cdot x^{2}-\frac{32}{5}\cdot x -\frac{72}{5}$ .

Now, we calculate the average rate of change ( $r$ ), dimensionless, between $x = -2$ and $x = 8$ by using the formula of secant line slope:

$r = \frac{y(8)-y(-2)}{8-(-2)}$

$r = \frac{y(8)-y(-2)}{10}$

$x = -2$

$y = \frac{2}{5}\cdot (-2)^{2}-\frac{32}{5}\cdot (-2)-\frac{72}{5}$

$y(-2) = 0$

$x = 8$

$y = \frac{2}{5}\cdot (8)^{2}-\frac{32}{5}\cdot (8)-\frac{72}{5}$

$y(8) = -40$

$r = \frac{-40-0}{10}$

$r = -4$

The average rate of change of the parabola is -4.

3 0

3 years ago

Find the surface area<br> Will give brainliest to first answer!!!!

user100 [1]

120 I think I’m not sure

7 0

3 years ago

What is the defintion of place value

nexus9112 [7]

Answer:

The value of where a digit is in the number.

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

8/7 divided by 5/8.

maksim [4K]

Answer:

64/35

Step-by-step explanation:

To divide fractions, multiply the first fraction by the second fraction's reciprocal.

The reciprocal of a fraction is just the top and bottom number switched.

So the reciprocal of 5/8 would be 8/5.

Now, you can multiply 8/7 by 8/5.

This gives you 64/35.

And that's it!

Please mark as Brainliest! :)

3 0

3 years ago

The area of a rectangular patio is (12x - 4) square units. What are possible dimensions of the patio?

MAVERICK [17]

You need two terms that multiply to (12x-4). The term on the outside needs to be a common multiple of 12 and 4. The common factors are 1, 2, and 4. Here are the following possible dimensions:
1(12x-4)
2(6x-2)
4(3x-1)
Hope this helps.

4 0

3 years ago