All categories

4 years ago

32x2 – 24x = 0 What’s the answer to this?

Mathematics

1 answer:

Vlad [161]4 years ago

3 0

Answer:

x=0 x = 3/4

Step-by-step explanation:

32x^2 – 24x = 0

Factor out 8x

8x(4x -3)

Using the zero product property

8x = 0 4x-3 =0

x=0 4x=3

x=0 x = 3/4

You might be interested in

option 1 drop down are: even-odd identity, quotient identity, Pythagorean identity, double-number identity.option 2 drop down ar

motikmotik

Answer:

The equation is given below as

$\frac{\cos2x}{\cos x}=\cos x-\sin x\tan x$

Step 1:

We will work on the left-hand side, we will have

$\begin{gathered} \cos x-\sin x\tan x \\ \text{recall that,} \\ Quoitent\text{ identity is} \\ \tan x=\frac{\sin x}{\cos x} \end{gathered}$

By substituting the identity above, we will have

$\begin{gathered} \cos x-\sin x\tan x=\cos x-\frac{\sin x.\sin x}{\cos x}=\cos x-\frac{\sin^2x}{\cos x} \\ \end{gathered}$

Here, we will make use of the quotient identity

Step 2:

By writings an expression, we will have

$\begin{gathered} \cos x-\sin x\tan x=\cos x-\frac{\sin x.\sin x}{\cos x} \\ \cos x-\sin x\tan x=\frac{\cos^2x-\sin^2x}{\cos x} \end{gathered}$

Here, we will use the definition of subtraction

$\cos x-\frac{\sin^2x}{\cos x}$

Step 3:

We will apply the double number identity given below

$\begin{gathered} \cos 2\theta=\cos (\theta+\theta)=\cos ^2\theta-\sin ^2\theta \\ \cos 2x=cos(x+x)=\cos ^2x-\sin ^2x \end{gathered}$

By applying this, we will have

$\frac{\cos^2x-\sin^2x}{\cos x}=\frac{\cos2x}{\cos x}$

Here, we will use the double number identity

$\frac{\cos^2x-\sin^2x}{\cos x}$

5 0

1 year ago

36,000 people ride the city bus every day. On average, about how many people ride the bus each hour?

barxatty [35]

Day = 24 hours, right?
36000/24 = 1500

If I put this into words:
36000 people per 24 hours = 1500 people per 1 hour

On average, 1500 people ride the bus per hour (or each hour)

4 0

3 years ago

Read 2 more answers

0.7 mm to centimeters

san4es73 [151]

Answer: 0.07 centimeters

Step-by-step explanation: 0.7millimeters equals 0.07 centimeters

8 0

3 years ago

Please Help!

Makovka662 [10]

I think it is not because it’s also not proportional and they are basically identical except for what b is equal to

5 0

3 years ago

Is the following shape a rectangle? How do you know?

pogonyaev

I would think it’s a square

7 0

2 years ago