Dont know the answer pls help :(

If the function h is defined by h(x)=<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D" id="TexFormula1" title="x^{2}" alt="x^{2}" a

harkovskaia [24]

Given:

The function is:

$h(x)=x^2-3x+5$

To find:

The value of $h(2x+1)$ .

Solution:

We have,

$h(x)=x^2-3x+5$

Putting $x=2x+1$ , we get

$h(2x+1)=(2x+1)^2-3(2x+1)+5$

$h(2x+1)=(2x)^2+2(2x)(1)+(1)^2-3(2x)-3(1)+5$

$h(2x+1)=4x^2+4x+1-6x-3+5$

On combining like terms, we get

$h(2x+1)=4x^2+(4x-6x)+(1-3+5)$

$h(2x+1)=4x^2-2x+3$

Therefore, the required function is $h(2x+1)=4x^2-2x+3$ .

3 0

3 years ago

Plz help hurry i need to turn this in today and i don't have time to waste

serg [7]

Answer:

Part One: $187

Part Two: 11a + 5.5k

Step-by-step explanation:

Part One:

a = 9 (how many adult tickets)

k = 16 (how many kid tickets)

($11 × a) + ($5.50 × k) = total cost

($11 × 9) + ($5.50 × 16)

($99) + ($88) = $187 = total cost

Part Two:

11a + 5.5k

11 is how much the adult ticket costs, you multiply a or the amount of adult tickets in order to get the total cost for adults.

5.5 is how much the kid ticket costs, you multiply k or the amount of kid tickets in order to get the total cost for kids.

you add 11a + 5.5k or the total cost for adults and the total cost for kids to get the total cost.

3 0

3 years ago

What is the equation of the line that passes through the point (5,0) and has slope of 2/5

aniked [119]

Answer:
Y=2/5x-2

Explanation:

4 0

2 years ago

Read 2 more answers

The army bus has 12 seats on one side. Two soldiers can sit in each seat. If five seats are reserved for equipment, how many bus

marissa [1.9K]

Answer:

80 buses will be required for 1120 soldiers.

Step-by-step explanation:

Given:

Number of seats on One side = 12 seats.

Now Given:

five seats are reserved for equipment.

So we can say that;

Number of seats used by soldiers = $12-5=7\ seats$

Number of soldiers on Each seat =2

So we will now find number of soldiers on each bus.

number of soldiers on each bus is equal to Number of seats used by soldiers multiplied by Number of soldiers on Each seat.

framing in equation form we get;

number of soldiers on each bus = $7\times2 = 14\ soldiers$

Now we know that;

For 14 soldiers = 1 bus

So 1120 soldiers = Number of buses required for 1120 soldiers.

By Using Unitary method we get;

Number of buses required for 1120 soldiers = $\frac{1120}{14} =80$

Hence 80 buses will be required for 1120 soldiers.

3 0

3 years ago

Which of the following correctly describes the domain of the function shown

labwork [276]

Option D:

$\{x: x \neq 1\}$ is the domain of the function.

Solution:

Given function is

$$r(x)=\frac{2 x}{x-1}$

To find the domain of the function:

Option A: $\{x: x \neq 0\}$

Substitute x = 0 in r(x).

$$r(0)=\frac{2 \times 0}{0-1}=0$

If x = 0, then r(0) = 0

So that x ≠ 0 is false.

So, $\{x: x \neq 0\}$ is not the domain of the function.

Option B: $\{x: x \neq \pm 1\}$

Substitute x = –1 in r(x).

$$r(-1)=\frac{2 \times (-1)}{-1-1}=1$

If x = –1, then r(–1) = 1

So that x = ± 1 is false.

So, $\{x: x \neq \pm 1\}$ is not the domain of the function.

Option C: $\{x: \text { all real numbers }\}$

Substitute x = 1 in r(x).

$$r(1)=\frac{2 \times 1}{1-1}=\frac{2}{0}$

It is indeterminate.

So, all real numbers are not the domain of the function.

Option D: $\{x: x \neq 1\}$

Substitute x = 1 in r(x).

$$r(1)=\frac{2 \times 1}{1-1}=\frac{2}{0}$

It is indeterminate.

So, $\{x: x \neq 1\}$ is the domain of the function.

4 0

3 years ago