All categories

3 years ago

The function g is defined by the following rule g(x)=4x-5

Mathematics

1 answer:

Elza [17]3 years ago

7 0

Answer: 5/4, or 1.25

Step-by-step explanation:

To solve, get a variable on one side. First, add 5 on both sides.

g(x) = 4x-5+5

Next, divide by four.

5/4 = 4x/4

Now, solve.

5/4, or 1.25 = x

You might be interested in

Harry collects data from a random sample of seventh-graders. Out of 25 respondents, 10 ride the bus home. Of the 150 seventh-gra

alekssr [168]

10/25=x/150

x=60

so 60 students

WELCOME MOA!!!

#SOOBIN

#YEONJUN

#TAEHYUN

#BEOMGYU

#KAI

#TXT!!

^_________^<(￣︶￣)>

7 0

3 years ago

Read 2 more answers

The perimeter of a rectangular parking lot is 296 m if the width of the parking lot is 65 m , what is its length

Sophie [7]

Answer:

166

Step-by-step explanation:

So the width is 65, so two sides are each 65m long. So multiply 65*2 which is 130. this means that the other two sides need to equal 130 when added, so divide 130/2 which is 65

4 0

3 years ago

Read 2 more answers

Solve the equation for all real values of x.<br> cosxtanx - 2 cos x=-1

IceJOKER [234]

Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

<u>Step-by-step explanation:</u>

Here we have , $cosxtanx - 2 cos^2 x=-1$ . Let's solve :

⇒ $cosxtanx - 2 cos^2 x=-1$

⇒ $cosx(\frac{sinx}{cosx}) - 2 cos^2 x=-1$

⇒ $sinx = 2 cos^2 x-1$

⇒ $sinx = 2 (1-sin^2x)-1$

⇒ $sinx = 1-2sin^2x$

⇒ $2sin^2x+sinx-1=0$

By quadratic formula :

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

⇒ $sinx = \frac{-1 \pm \sqrt{1^2-4(2)(-1)} }{2(2)}$

⇒ $sinx = \frac{-1 \pm3}{4}$

⇒ $sinx = \frac{1}{2} , sinx =-1$

⇒ $sinx = sin\frac{\pi}{6} , sinx = sin\frac{3\pi}{2}$

⇒ $x=\frac{\pi}{6} , x=\frac{3\pi}{2}$

But at $x=\frac{3\pi}{2}$ we have equation undefined as $cos\frac{3\pi}{2}=0$ . Hence only solution is :

⇒ $x=\frac{\pi}{6}$

Since , $sin(\pi -x)=sinx$

⇒ $x=\pi -\frac{\pi}{6} = \frac{5\pi}{6}$

Now , General Solution is given by :

⇒ $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$

Therefore , Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

3 0

3 years ago

(Kinda need help ASAP)

denis23 [38]

Answer:

Plzzzz answer fast......

4 0

3 years ago

Can someone help me with this math work and please explain why the answer is what it is

Anettt [7]

Answer: 58unit²

Step-by-step explanation:

We will take 1 square as 1 unit

We will count the number of squares in in this figure.

Total squares = 58

Area = 58unit²

please click thanks and mark brainliest if you like :)

4 0

3 years ago