1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
marishachu [46]
3 years ago
14

Vanessa is solving the equation -3 + 4x=9

Mathematics
2 answers:
mina [271]3 years ago
8 0

Answer:

The -3

Step-by-step explanation:

Hope this helps :)

Gnom [1K]3 years ago
7 0

Step-by-step explanation:

Vanessa is trying to solve the equation for x.

The given equation is -3 + 4x = 9, or 4x - 3 = 9

She shouldn't be subtracting any number in the beginning. Instead, she should do the opposite of PEMDAS:

1) Vanessa should add 3 to both sides:

4x - 3 (+3) = 9 (+3)

4x = 9 + 3

4x = 12

2) Next, she should divide 4 from both sides:

(4x)/4 = (12)/4

x = 12/4

x = 3

Vanessa's answer will be x = 3.

~

You might be interested in
What is the value of k in the function ƒ(x) = 112 - kx if ƒ(-3) = 121?
DedPeter [7]
  f(x) = 112 - kx
 f(-3) = 112 - k(-3)
 f(-3) = 112 - (-3k)
 f(-3) = 112 + 3k
  121 = 112 + 3k
- 112  - 112
      9 = 3k
      3     3
      3 = k
6 0
2 years ago
I need help with my math homework. The questions is: Find all solutions of the equation in the interval [0,2π).
Aleksandr-060686 [28]

Answer:

\frac{7\pi}{24} and \frac{31\pi}{24}

Step-by-step explanation:

\sqrt{3} \tan(x-\frac{\pi}{8})-1=0

Let's first isolate the trig function.

Add 1 one on both sides:

\sqrt{3} \tan(x-\frac{\pi}{8})=1

Divide both sides by \sqrt{3}:

\tan(x-\frac{\pi}{8})=\frac{1}{\sqrt{3}}

Now recall \tan(u)=\frac{\sin(u)}{\cos(u)}.

\frac{1}{\sqrt{3}}=\frac{\frac{1}{2}}{\frac{\sqrt{3}}{2}}

or

\frac{1}{\sqrt{3}}=\frac{-\frac{1}{2}}{-\frac{\sqrt{3}}{2}}

The first ratio I have can be found using \frac{\pi}{6} in the first rotation of the unit circle.

The second ratio I have can be found using \frac{7\pi}{6} you can see this is on the same line as the \frac{\pi}{6} so you could write \frac{7\pi}{6} as \frac{\pi}{6}+\pi.

So this means the following:

\tan(x-\frac{\pi}{8})=\frac{1}{\sqrt{3}}

is true when x-\frac{\pi}{8}=\frac{\pi}{6}+n \pi

where n is integer.

Integers are the set containing {..,-3,-2,-1,0,1,2,3,...}.

So now we have a linear equation to solve:

x-\frac{\pi}{8}=\frac{\pi}{6}+n \pi

Add \frac{\pi}{8} on both sides:

x=\frac{\pi}{6}+\frac{\pi}{8}+n \pi

Find common denominator between the first two terms on the right.

That is 24.

x=\frac{4\pi}{24}+\frac{3\pi}{24}+n \pi

x=\frac{7\pi}{24}+n \pi (So this is for all the solutions.)

Now I just notice that it said find all the solutions in the interval [0,2\pi).

So if \sqrt{3} \tan(x-\frac{\pi}{8})-1=0 and we let u=x-\frac{\pi}{8}, then solving for x gives us:

u+\frac{\pi}{8}=x ( I just added \frac{\pi}{8} on both sides.)

So recall 0\le x.

Then 0 \le u+\frac{\pi}{8}.

Subtract \frac{\pi}{8} on both sides:

-\frac{\pi}{8}\le u

Simplify:

-\frac{\pi}{8}\le u

-\frac{\pi}{8}\le u

So we want to find solutions to:

\tan(u)=\frac{1}{\sqrt{3}} with the condition:

-\frac{\pi}{8}\le u

That's just at \frac{\pi}{6} and \frac{7\pi}{6}

So now adding \frac{\pi}{8} to both gives us the solutions to:

\tan(x-\frac{\pi}{8})=\frac{1}{\sqrt{3}} in the interval:

0\le x.

The solutions we are looking for are:

\frac{\pi}{6}+\frac{\pi}{8} and \frac{7\pi}{6}+\frac{\pi}{8}

Let's simplifying:

(\frac{1}{6}+\frac{1}{8})\pi and (\frac{7}{6}+\frac{1}{8})\pi

\frac{7}{24}\pi and \frac{31}{24}\pi

\frac{7\pi}{24} and \frac{31\pi}{24}

5 0
3 years ago
The side of a square is x, and the area is A. Express A in terms of x. Draw the graph which shows how A depends on x.
Alexandra [31]

a=x squared or x times itself

4 0
3 years ago
In the right triangle shown, m<br> How long is YZ ?
Elis [28]
Can i see a picture of the triangle/ angle ?
7 0
2 years ago
What is the slope of the equation-3=-4(x-5)
scZoUnD [109]
You need to simplify it first. 
-3=-4(x-5)
Use distribution
-3=-4x+20
y=mx+b
m=slope
your slope is -4 :)
5 0
3 years ago
Other questions:
  • 0 .0346 as a fraction.
    9·1 answer
  • The coordinates of which point are (–3, –6)?
    8·2 answers
  • .please help me with this I will crown you brainlest
    15·2 answers
  • Can a tutor help me please
    13·1 answer
  • Please help aced+ if you can.
    5·1 answer
  • Is negative 8 a term
    14·2 answers
  • An elected official surveyed residents of a town to assess their satisfaction with city services. The survey includes
    12·1 answer
  • The height of an arrow shot into the air can be represented by the equation h=-16t^2+110t+6. what is the max height of the arrow
    7·1 answer
  • Find the lengths of the legs.<br> 45°<br> 10
    7·1 answer
  • the home plate in baseball which is a Pentagon has three right angle. the other two angles are equal. find the measure of each m
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!