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2 years ago

If f(x) = 3x+5 solve for x when f(x) = 11

Mathematics

2 answers:

Elan Coil [88]2 years ago

5 0

Answer:

Step-by-step explanation:

It is saying that both equations equal each other, as they both equal f(x). So we just move each of the factors to equal each other. Like 3x+5=11. There you just subtract the 5 from both sides to get 3x=6, and then divide both sides by 3 to get x=2.

Yuliya22 [10]2 years ago

5 0

Answer:

x=2

Step-by-step explanation:

f(x)=3x+5

11=3x+5

11-5=3x

6=3x

x=6

3

x=2

hope it helps.

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Are these answers correct? also is there any work to be shown?

vekshin1

Yes, your answer are correct! There is a little work to be shown on number 1, but it isn't necessary.

Hope this helps! Brainliest it if it does!

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3 years ago

Which is traveling faster, a car whose velocity vector is 201 + 25), or a car whose velocity vector is 30i, assuming that the un

ioda

Answer with explanation:

For any object having the velocity vector as

$\overrightarrow{v}=v_x\widehat{i}+v_y\widehat{j}+v_z\widehat{k}$

the magnitude of velocity is given by

$|v|=\sqrt{v_x^2+v_y^2+v_z^2}$

For car 1 the velocity vector is

$\overrightarrow{v}_1=20\widehat{i}+25\widehat{j}$

Therefore

$|v_1|=\sqrt{20^2+25^2}\\\\\therefore v_1=32.0156units$

Similarly for car 2 we have

$\overrightarrow{v}_2=30\widehat{i}$

Therefore

$|v_2|=\sqrt{30^2}\\\\\therefore v_2=30.0units$

Comparing both the values we find that car 1 has the greater speed.

7 0

3 years ago

Use the elimination method to solve this system.

leva [86]

Answer:

The solution for this system is: $x = -1, y = 1$

Step-by-step explanation:

The problem states that we have to solve this system by the elimination method

In the elimination method, we transform the system in such a way that one variable can cancel each other. With this, we find the result of the other variable. Then, we can replace the variable we found in any of the equations, and we have the value of the variable that we had initially canceled.

In this problem, we have the following system:

$1) -6x + 5y = 1$

$2) 6x + 4y = -10$

If we add equations 1) and 2), the variable x is going to be eliminated

$1) + 2)$

$-6x + 6x + 5y + 4y = 1 - 10$

$9y = -9$

$y = \frac{-9}{9}$

$y = -1$

Now, we can replace the value of y in any of the equations, to find x:

I will replace in equation 2)

$6x + 4y = -10$

$6x + 4(-1) = -10$

$6x = -6$

$x = \frac{-6}{6}$

$x = -1$

The solution for this system is: $x = -1, y = 1$

5 0

3 years ago

Rectangle and a square have the same area. the length of the rectangle is seventy feet more than two times its width. the length

Natasha2012 [34]

LxW=D
length
width
dimensions
it might be backwards two

6 0

3 years ago

A bus has velocity 20 m/s towards east and another bus has velocity 15 m/s in west direction. If they start to move from a point

Mashutka [201]

Answer:

The first bus has covered 2,400 m and the second bus has covered 1,800 m. They are separated by 4,200 m

Step-by-step explanation:

Constant Velocity Motion

A bun has a velocity of 20 m/s towards the east. It means it travels 20 meters each second in that direction. Assuming the east direction is positive, the distance traveled by this bus can be calculated as follows:

X1=20*t

Where t is the time in seconds.

Similarly, the distance traveled by the second bus towards the west is:

X2=-15*t

Note the negative sign because the direction points at the negative reference.

After 2 minutes = 120 seconds have passed, the distance of each bus is

X1= 20*120=2,400 m

X2=-15*120 = 1,800 m

They are separated by 2,400-(-1,800) = 4,200 m

The first bus has covered 2,400 m and the second bus has covered 1,800 m. They are separated by 4,200 m

6 0

3 years ago