All categories

3 years ago

Given f (x) = 3 x minus 1 and g (x) = 2 x minus 3, for which value of x does g (x) = f (2)?

Mathematics

2 answers:

dangina [55]3 years ago

8 0

Answer:

x=4

Step-by-step explanation:

so I plugged in each answer to find which would make g(x)=f(2)

for f(2) you get f(2)= 3(2) -1

f(2)= 6-1 so f(2) is 5

using that plug in each answer into the G equation to get 5 out of it. i used 4

g(4)= 2(4) -3

g(4)= 8-3

g(4)=5

ta da the answer is x=4

hope this is helpful

antoniya [11.8K]3 years ago

5 0

Answer:

X = there and halve

3(1/2)

Step-by-step explanation:

F(x) =3x -2

g(x )= 2x-3

F(2) = 3(2) - 2

= 6-2

= 4

So the value of x that can make g(x) = 4

4= 2x-3

7 = 2x

X= 7/2

X = 3 1/2

You might be interested in

Could someone help me with this, please, I’ve been struggling for the past few hours, and I need to finish this within the next

yanalaym [24]

Answer:

-383.5

Step-by-step explanation:

4+2.5+1+...-33.5

a=4

c.d. d=2.5-4=-1.5

l=-33.5

l=a+(n-1)d

-33.5=4+(n-1)(-1.5)

-33.5-4=(n-1)(-1.5)

-37.5=(n-1)(-1.5)

$n-1=(-37.5)/(-1.5)=25\\n=25+1=26\\n=26\\S_{26}=\frac{n}{2} (a+l)\\=\frac{26}{2} (4-33.5)\\=13(-29.5)\\=-383.5$

4 0

3 years ago

The width of a large, rectangular-shaped tree farm is 1.9 kilometers. The length of the farm is 4.4 kilometers. What are the bes

Vinvika [58]

Answer:

9 square kilometers

Step-by-step explanation:

Let's round the width to 2.0 kilometers, and round the length to 4.5 kilometers.

We know that area is length times width, so

A = lw

A = 2.0*4.5

<u>A = 9.0 square kilometers</u>

If we do this on the calculator, it's around 9.36 square kilometers, so our estimate was good.

6 0

3 years ago

since there are 6 faces on a die there is a 3/6 or 1/2 chance of rolling a die and getting a prime number.

Troyanec [42]

I would say 2/5 chance since 1 is neither prime or composite

8 0

4 years ago

GEOMETRY. Name a Pair of Parallel AND PERPENDICULAR lines.

trasher [3.6K]

Answer:

I'm certain that it's AB and HI

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Determine whether each of the following functions is a solution of laplace's equation uxx uyy = 0.

ratelena [41]

Both functions are the solution to the given Laplace solution.

Given Laplace's equation: $u_{x x}+u_{y y}=0$

We must determine whether a given function is the solution to a given Laplace equation.
If a function is a solution to a given Laplace's equation, it satisfies the solution.

(1) $u=e^{-x} \cos y-e^{-y} \cos x$

Differentiate with respect to x as follows:

$u_x=-e^{-x} \cos y+e^{-y} \sin x\\u_{x x}=e^{-x} \cos y+e^{-y} \cos x$

Differentiate with respect to y as follows:

$u_{x x}=e^{-x} \cos y+e^{-y} \cos x\\u_{y y}=-e^{-x} \cos y-e^{-y} \cos x$

Supplement the values in the given Laplace equation.

$e^{-x} \cos y+e^{-y} \cos x-e^{-x} \cos y-e^{-y} \cos x=0$

The given function in this case is the solution to the given Laplace equation.

(2) $u=\sin x \cosh y+\cos x \sinh y$

Differentiate with respect to x as follows:

$u_x=\cos x \cosh y-\sin x \sinh y\\u_{x x}=-\sin x \cosh y-\cos x \sinh y$

Differentiate with respect to y as follows:

$u_y=\sin x \sinh y+\cos x \cosh y\\u_{y y}=\sin x \cosh y+\cos x \sinh y$

Substitute the values to obtain:

$-\sin x \cosh y-\cos x \sinh y+\sin x \cosh y+\cos x \sinh y=0$
The given function in this case is the solution to the given Laplace equation.

Therefore, both functions are the solution to the given Laplace solution.

Know more about Laplace's equation here:

brainly.com/question/14040033

#SPJ4

The correct question is given below:
Determine whether each of the following functions is a solution of Laplace's equation uxx + uyy = 0. (Select all that apply.) u = e^(−x) cos(y) − e^(−y) cos(x) u = sin(x) cosh(y) + cos(x) sinh(y)

6 0

2 years ago