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3 years ago

What are the solutions of the equation f (x) = g(x)?

Mathematics

2 answers:

Oksi-84 [34.3K]3 years ago

6 0

We have the following functions:
f (x) = 2 ^ x - 2
g (x) = 3x - 3
To find the next result f (x) = g (x) the first thing that you should observe is the table so that values of x both functions have the same result.
We observe that the values are:
x = 1
x = 3
Answer:
the solutions of the equation f (x) = g (x) are:
x = 1
x = 3

Setler [38]3 years ago

4 0

I believe it is X=1 and X=3

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A student rolls a number cube. What is the probability the student rolled a 5, given that the student rolled a prime number?

andre [41]

P(5 | prime number) = 1/3

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3 years ago

Jessica has 180 inches of ribbon. How many yards of ribbon does she have?

anyanavicka [17]

Answer:

5 yards

Step-by-step explanation:

1 yard = 36 inches

yard to inches = multiply by 36

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180/36 = 5 yards

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2 years ago

1. Solve the system by substitution . 2x+y=-11 . 3x-4y=11 . . A. (3,5) . B. (-5,-3) . C. (-3,-5) . D. (5,3).

VMariaS [17]

In the first equation, moving 2x over gives "y = -2x-11". Placing this into the second equation gives "3x - 4(-2x-11) = 11", or "3x+8x+44 = 11", which can be reduced to "11x= -33" or "x = -3". Replacing the "x" with -3 in the first equation gives "-6 + y = -11" or "y = -5". This gives a solution of (-3, -5), or answer C.

5 0

3 years ago

Read 2 more answers

What is the equation, in slope-intercept form, of the line parallel to y = 5x +2 that passes through the point with coordinates

DaniilM [7]

Answer:

Slope - intercept form y = 5x+17

The equation of the parallel line to the given line is 5x-y +17=0

Step-by-step explanation:

Explanation

The equation of the straight line is y= 5x+2

5x - y +2=0

The equation of the straight line is 5x-y+2=0

Given that the point(-3,2)

The equation of the parallel line to the given line is

5x -y +k=0

5(-3) - 2+k=0

-15 -2 +k =0

-17 +k=0

k =17

The equation of the parallel line to the given line is 5x-y +17=0

Final answer:-

Slope - intercept form y = mx+c

Slope - intercept form y = 5x+17

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3 years ago

Mr. Dyer is leaning a ladder against the side of his house to repair the roof. The top of the ladder reaches the roof, which is

boyakko [2]

Answer:

5 meters.

Step-by-step explanation:

Given:

Mr. Dyer is leaning a ladder against the side of his house to repair the roof.

The top of the ladder reaches the roof, which is 3 meters high.

The base of the ladder is 4 meters away from the house, where Mr. Dyer's son is holding it steady.

Question asked:

How long is the ladder?

Solution:

Here we found that a right angle triangle is formed in which base and height is given and we have to find the longest side of the triangle.

Base = 4 meters

Height = 3 meters

Length of the ladder = ?

By Pythagoras theorem:

Square of longest side = Square of base + Square of height

$(Longest\ side)^{2} = 4^{2} +3^{2}$

$(Longest\ side)^{2} = 16+9$

$(Longest\ side)^{2} = 25$

Taking root both side :-

$\sqrt[2]{(Longest\ side)^{2} } =\sqrt[2]{25}$

$Longest\ side = \sqrt[2]{5\times5} \\ Longest\ side = 5$

Thus, length of ladder is 5 meters.

4 0

3 years ago

Read 2 more answers