All categories

2 years ago

5x - 3 (x+3) = what to have infinitely many solutions

Mathematics

1 answer:

svet-max [94.6K]2 years ago

5 0

Answer: 1/4

Step-by-step explanation: I think that’s the answer! i’m sorry i’m in 8th fe are

You might be interested in

How much more intense is an earthquake that measures 7.5 on the Richter scale than one that measures 6.2?

PolarNik [594]

It would be 1.3 less than the other.

7 0

3 years ago

PLEASE HELP!!!!

Ilya [14]

Answer:

dang

Step-by-step explanation:

A. x – 58 = 129 yes

B. x + 58 = 129 no

C. 180 – 129 − 59 = x yes

D. 129 – 58 = xyes

E. (180 – 129) – 51 + x = 180no

hope this helps

7 0

2 years ago

Read 2 more answers

Help me with this please

Veseljchak [2.6K]

Answer: B

Step-by-step explanation:

Well if it's a greater than statement you can rule out C and D because those are less than symbols ( > = Less, < = Greater) It can't be A because thats his starting amount. The x means how many months it will take for him to get more than 70 stamps

8 0

3 years ago

4sin²<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B2%7D" id="TexFormula1" title="\frac{x}{2}" alt="\frac{x}{2}" align="absm

raketka [301]

Answer:

$\displaystyle x=\left \{\frac{2\pi}{3}+2\pi k,\frac{4\pi}{3}+2\pi k, \frac{8\pi}{3}+2\pi k, \frac{10\pi}{3}+2\pi k\right \}k\in \mathbb{Z}$

Step-by-step explanation:

Hi there!

We want to solve for $x$ in:

$4\sin^2(\frac{x}{2})=3$

Since $x$ is in the argument of $\sin^2$ , let's first isolate $\sin^2$ by dividing both sides by 4:

$\displaystyle \sin^2\left(\frac{x}{2}\right)=\frac{3}{4}$

Next, recall that $\sin^2x$ is just shorthand notation for $(\sin x)^2$ . Therefore, take the square root of both sides:

$\displaystyle \sqrt{\sin^2\left(\frac{x}{2}\right)}=\sqrt{\frac{3}{4}},\\\sin\left(\frac{x}{2}\right)=\pm \sqrt{\frac{3}{4}}$

Simplify using $\displaystyle \sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}$ :

$\displaystyle \sin\left(\frac{x}{2}\right)=\pm \sqrt{\frac{3}{4}},\\\sin\left(\frac{x}{2}\right)=\pm \frac{\sqrt{3}}{\sqrt{4}}=\pm \frac{\sqrt{3}}{2}$

Let $\phi = \frac{x}{2}$ .

<h3><u>Case 1 (positive root):</u></h3>

$\displaystyle \sin(\phi)=\frac{\sqrt{3}}{2},\\\phi = \frac{\pi}{3}+2\pi k, k\in \mathbb{Z}, \\\\\phi =\frac{2\pi}{3}+2\pi k, k\in \mathbb{Z}$

Therefore, we have:

$\displaystyle \frac{x}{2}=\phi = \frac{\pi}{3}+2\pi k, k\in \mathbb{Z}, \\\\\frac{x}{2}=\phi =\frac{2\pi}{3}+2\pi k, k\in \mathbb{Z},\\\\\begin{cases}x=\boxed{\frac{2\pi}{3}+2\pi k, k\in \mathbb{Z}},\\x=\boxed{\frac{4\pi}{3}+2\pi k , k \in \mathbb{Z}}\end{cases}$

<h3><u>Case 2 (negative root):</u></h3>

$\displaystyle \sin(\phi)=-\frac{\sqrt{3}}{2},\\\phi = \frac{4\pi}{3}+2\pi k, k\in \mathbb{Z}, \\\\\phi =\frac{5\pi}{3}+2\pi k, k\in \mathbb{Z},\\\begin{cases}x=\boxed{\frac{8\pi}{3}+2\pi k, k\in \mathbb{Z}},\\x=\boxed{\frac{10\pi}{3}+2\pi k , k \in \mathbb{Z}}\end{cases}$

8 0

2 years ago

Write the following number in standard form decimal

gizmo_the_mogwai [7]

Answer:

0.0001825

Step-by-step explanation:

First you find out what 10 to the -4th power is after that you multiply the decimal shown (1.825) you start moving the number behind the decimal and you have your answer 0.0001825

6 0

3 years ago

Read 2 more answers