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3 years ago

10

Volutie or Cyuniuers, cores, dhu SbrerCS - TULUrla - LEVEin

1 answer:

d1i1m1o1n [39]3 years ago

8 0

Answer:

umm pie

Step-by-step explanation:

You might be interested in

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

M<3 is (3x + 4) and m<5 is (2x +11)

butalik [34]

Answer:

Part 1) Option C. Same side interior angles

Part 2) Option A. $(3x+4)+(2x+11)=180\°$

Part 3) Option B. $m$

Step-by-step explanation:

Part 1) we know that

If p and q are parallel

then

m<3 and m<5 are consecutive interior angles or Same side interior angles

and

$m$

Part 2) we know that

$m$ -----> by consecutive interior angles (supplementary angles)

we have that

$m$

$m$

so

substitute

$(3x+4)+(2x+11)=180\°$

Part 3) Find the measure of angle 5

we know that

$(3x+4)+(2x+11)=180\°$

Solve for x

$5x+15\°=180\°$

$5x=180\°-15\°$

$x=165\°/5\°=33\°$

$m$

substitute the value of x

$m$

8 0

3 years ago

Read 2 more answers

A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 3:40 p.M.

posledela

Answer:

3.625gpm

Step-by-step explanation:

READ and divide

7 0

3 years ago

Plz help me with this

Elodia [21]

Answer:

its green so you got it right

and if thats not the case you are correct

Step-by-step explanation:

3 0

2 years ago

What is correct in these ordered pairs (4,9) and (4,-9)?

timurjin [86]

Answer:

(maaf kalau salah

THANKS

4 0

3 years ago