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3 years ago

PLS SHOW WORK

Mathematics

1 answer:

Brrunno [24]3 years ago

4 0

The average rate of change of a function is its slope

The average rate of change of the function is 4

<h3>How to calculate the average rate of change</h3>

The function is given as:

$f(x) = 4x + 2$

The interval of the function is given as:

x = 2 to x =6

Start by calculating f(2) and f(6)

$f(2) = 4*2 + 2 = 10$

$f(6) = 4*6 + 2 = 26$

The average rate of change of the function is then calculated as:

$m = \frac{f(6) - f(2)}{6 - 2}$

$m = \frac{f(6) - f(2)}{4}$

So, we have:

$m = \frac{26 -10}{4}$

$m = \frac{16}{4}$

$m = 4$

Hence, the average rate of change of the function is 4

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What is the formula to find the area of the sector?

Lunna [17]

Answer:

There are 3 ways

Step-by-step explanation:

The formula for a sector's area is:

1. A = (sector angle / 360 ) * (pi *r2)

2. A = (sector angle / (2*pi)) * (pi * r2)

3. A = (fraction of the circle) * (pi * r2)

6 0

3 years ago

F(x){3/4x+2 If x≠2<br> {-4. If x=2 <br> Whats f(-5), f(2),f(4)

satela [25.4K]

The values of the functions are -1/ 4, 3/ 16 and 3/ 8 respectively.

<h3>What is a function?</h3>

A function is a rule or expression showing the relationship between a dependent and independent variable.

We have the function to be;

f(x) = 3/ 4(x + 2)

Let's find f(-5), substitute the value of x as -5

f(-5) = 3/ 4 ( -5 + 2)

f(-5) = 3/ 4 × -3

f(-5) = -1/ 4

f(2), substitute the value of x as 2

f(2) = 3/ 4(2 + 2)

f(2) = 3/ 4 (4)

f(2) = 3/ 16

f(4) = 3/ 4 ( 4 + 2)

f(4) = 3/ 4(6)

f(4) = 3/ 8

Thus, the values of the functions are -1/ 4, 3/ 16 and 3/ 8 respectively.

Learn more about functions here:

brainly.com/question/4025726

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7 0

2 years ago

A cyclist rides her bike at a speed of 10 kilometers per hour. What is this speed in miles per hour? How many miles will the cyc

SashulF [63]

6.25 miles per hour
12.5 miles in 2 hours

6 0

3 years ago

a volley ball player servers the ball. The ball follows a path given by the equation y=-0.01x^2+0.5x+3 where x and y are measure

dolphi86 [110]

Answer:

(a)

Distance from player should be 13.82 feet or 36.2 feet

(b)

The ball will go over the net

Step-by-step explanation:

we are given

The ball follows a path given by the equation

$y=-0.01x^2+0.5x+3$

where

x and y are measured in feet and the origin is on the court directly below where the player hits the ball

(a)

net height is 8 ft

so, we can set y=8

and then we can solve for x

$8=-0.01x^2+0.5x+3$

$8\cdot \:100=-0.01x^2\cdot \:100+0.5x\cdot \:100+3\cdot \:100$

$800=-x^2+50x+300$

$-x^2+50x-500=0$

$x^2-50x+500=0$

we can use quadratic formula

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$x=\frac{-50\pm \sqrt{50^2-4\left(-1\right)\left(-500\right)}}{2\left(-1\right)}$

$x=5\left(5-\sqrt{5}\right),\:x=5\left(5+\sqrt{5}\right)$

$x=13.82,x=36.2$

So, distance from player should be 13.82 feet or 36.2 feet

(b)

we can plug x=30 and check whether y=8 ft

$y=-0.01(30)^2+0.5(30)+3$

$y=9ft$

we know that

height of net is 8 ft

so, the ball will go over the net

5 0

4 years ago

(0) a^2+За + За +9<br> Factorise

VashaNatasha [74]

Answer:

a^2+6a+9

Step-by-step explanation:

6 0

3 years ago