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3 years ago

Please help. I’ll mark you as brainliest if correct!

Mathematics

1 answer:

Nesterboy [21]3 years ago

6 0

Answer:

g(x)= 1/4 |x-2| + 1

Step-by-step explanation:

line:

g(x)

points on same line:

(2, 1) and (6, 2)

slope based on the points

m= (2-1)/(6-2)= 1/4

And the line is moved to the right by 2 units:

So the function becomes:

g(x)= 1/4|x-2|

Considering movement up by 1 unit as well:

g(x)= 1/4 |x-2| + 1

This is the final of equation for the line.

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Solve for x 4^x=2^x+3

kompoz [17]

Answer:

X=√3

Step-by-step explanation:

You first subtract x^2 from both sides which leaves you with x^2=3. Then you do the square root on both sides. Leaving you with the answer X=√3

4 0

3 years ago

Write an exponential function in the form y = ab" that goes through points (0,19) and (6, 1216).

Elanso [62]

The exponential function is $y=19*2^x$

Step-by-step explanation:

The exponential function in the form of $y=ab^{x}$

First find the value of a and b if x=0 and y=19

$y=ab^x\\\\19=ab^0\\\\\\19=a*1\\\\\\19=a$

Find the value of b in $y=ab^x$

where x=6,y=1216 and a=19

$1216=19b^6\\\\\\1216/19=b^6\\\\\\64=b^6\\\\\sqrt[6]{64} =b\\\\2=b$

The function is $y=19*2^x$

Learn More

Exponential function :brainly.com/question/11925273

Keywords : exponential function

#LearnwithBrainly

4 0

3 years ago

How many ways can 5 friends sit together at the movies in 5 seats?

ss7ja [257]

Answer:

120

Step-by-step explanation:

The number of friends is 5 and there are 5 seats only. So , we can find it out with the help of permutations ,

$\implies ^n P_r = \dfrac{n! }{(n-r)!}$

⇒ 5! / (5-5)!

⇒ 5! / 1!

⇒ 5!

⇒ 5 × 4 × 3 × 2 × 1

⇒ 120

<h3>Hence there are 120 ways by which 5 friends sit together at the movies in 5 seats. </h3>

3 0

3 years ago

Kip is using a recipe that calls for 1/4 cup of lemon juice. He has a 6-fluid- ounce bottle of lemon juice. There are 8 fluid ou

umka2103 [35]

Answer:

Step-by-step explanation:

4 0

2 years ago

You have a cylinder-shaped bottle that you want to fill with sand. The diameter of the bottle is 5 inches and the height is 15 i

emmainna [20.7K]

Answer:

Step-by-step explanation:

The volume of a cylinder is

$V=\pi r^2h$

We are given a diameter of 5, which means that the radius is 2.5. The height is 15. Filling in:

$V=\pi(2.5)^2(15)$

which gives you, in terms of π:

V = 93.75π in³ or if you are multiplying in π,

V = 294.5 in³

7 0

3 years ago