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2 years ago

Can soeone answer this asap pleasee?

Mathematics

2 answers:

-Dominant- [34]2 years ago

4 0

Answer:

I will explain in step by step.

Step-by-step explanation:

Top ones 40.

-7

285

Nana76 [90]2 years ago

3 0

Answer:

the answers are in the picture

Step-by-step explanation:

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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

WILL AWARD BRAINLIEST

julia-pushkina [17]

Answer: a= c+11

Step-by-step explanation:

a has 9 more than b which has 2less than c

7 0

3 years ago

The slope of a linear function is 1/5. For every rise of 5 units, what is the run?

Jlenok [28]

Answer:

for every rise of 1 the run would be 25

7 0

3 years ago

HELP!! To find the quotient of two fractions, you first need to rewrite the division problem as an equivalent multiplication pro

sergey [27]

1. 5/6

2. 2/3 x 5/6

3. 2/3 x 5/6 = 10/18
Multiply the numerators— 2 x 5 = 10
Multiply the denominators—3x 6= 18

4. 10/18 = 5/9
Find the greatest common factor of 10 and 18 which is 2.
Divide the numerator by 2– 10/2 = 5
Divide the denominator by 2– 18/2 = 9

I hope this helps!

6 0

3 years ago

You manage a call center that processes orders. One measure of efficiency in your department is the time spent on each call. You

siniylev [52]

Answer:

The answer is option A.

Step-by-step explanation:

If the report is made once a month, the daily variations (including the tendency to decrease efficiency on Friday) will be masked within the monthly result.

It would only generate an ethical problem in the case that Fridays fall in different samples, but in the case of the monthly report there are usually 4 or 5 Fridays included in each sample.

4 0

3 years ago