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3 years ago

Which of the following function is graphed?

Mathematics

1 answer:

Thepotemich [5.8K]3 years ago

4 0

Answer:

Step-by-step explanation:

Try to remember this formula.

$y=a|b(x-c)|+d$

Where a is the vertical multiplier, b is the horizontal multiplier, c is the x coordinate of the vertex, and d is the y coordinate of the vertex.

Since the vertex on the graph is (2,3), c and d have to be 2 and 3.

Also, there are no vertical/horizontal stretches so the a and b values stay at 1.

The final equation would come out to $y=|x-2|+3$

You might be interested in

1 + tanx / 1 + cotx =2

Lera25 [3.4K]

Answer:

x = tan^(-1)((i sqrt(3))/2 + 1/2) + π n_1 for n_1 element Z

or x = tan^(-1)(-(i sqrt(3))/2 + 1/2) + π n_2 for n_2 element Z

Step-by-step explanation:

Solve for x:

1 + cot(x) + tan(x) = 2

Multiply both sides of 1 + cot(x) + tan(x) = 2 by tan(x):

1 + tan(x) + tan^2(x) = 2 tan(x)

Subtract 2 tan(x) from both sides:

1 - tan(x) + tan^2(x) = 0

Subtract 1 from both sides:

tan^2(x) - tan(x) = -1

Add 1/4 to both sides:

1/4 - tan(x) + tan^2(x) = -3/4

Write the left hand side as a square:

(tan(x) - 1/2)^2 = -3/4

Take the square root of both sides:

tan(x) - 1/2 = (i sqrt(3))/2 or tan(x) - 1/2 = -(i sqrt(3))/2

Add 1/2 to both sides:

tan(x) = 1/2 + (i sqrt(3))/2 or tan(x) - 1/2 = -(i sqrt(3))/2

Take the inverse tangent of both sides:

x = tan^(-1)((i sqrt(3))/2 + 1/2) + π n_1 for n_1 element Z

or tan(x) - 1/2 = -(i sqrt(3))/2

Add 1/2 to both sides:

x = tan^(-1)((i sqrt(3))/2 + 1/2) + π n_1 for n_1 element Z

or tan(x) = 1/2 - (i sqrt(3))/2

Take the inverse tangent of both sides:

Answer: x = tan^(-1)((i sqrt(3))/2 + 1/2) + π n_1 for n_1 element Z

or x = tan^(-1)(-(i sqrt(3))/2 + 1/2) + π n_2 for n_2 element Z

4 0

3 years ago

You drop a rock off a bridge. The rock’s height, h (in feet above the water), after t seconds is modeled by h = -16t2 + 541. Wha

Nina [5.8K]

Given the time t = 2 seconds, simply plug in it to the equation.
h = - 16(2)² + 541
= - 16(4) + 541
= - 64 + 541
h = 477 feet

8 0

4 years ago

If an image of a triangle is congruent to the pre-image, what is the scale factor of the dilation?

likoan [24]

Answer:

The scale factor is 1.

Step-by-step explanation:

Let k be the scale factor of a dilation of triangle ABC to form the image triangle A'B'C'.

The dilation is a magnification if

$|k| > 1$

In this case, the preimage will be similar to the image triangle.

$- 1\: < \: k \: < \: 0 \: \: or \: \: 0 \: < \: k \: < \: 1$

the dilation is a reduction. The image and pre-image will still be similar.

But if

$k = 1$

the image is the same as the preimage.

We say the pre-image is congruent to the image triangle.

5 0

3 years ago

Name 3 U.S cities that has a zip code containing the first 5 digits of pi, In any order 3.1415

Stels [109]

I'm only aware of one --> Savannah, Georgia has the zip code of 31415.

hope this helps!

3 0

3 years ago

Two cars got an oil change at the same auto shop. The shop charges customers for each quart of oil plus a flat fee for labor. Th

zvonat [6]

The labor fee is $13.55 and each quart of oil is $2.25

Step-by-step explanation:

Let,

x be the amount of each quart of oil

y be the amount of labor fee

According to given statement;

5x+y=24.80 Eqn 1

7x+y=29.30 Eqn 2

Subtracting Eqn 1 from Eqn 2

$(7x+y)-(5x+y)=29.30-24.80\\7x+y-5x-y=4.50\\2x=4.50$

Dividing both sides by 2

$\frac{2x}{2}=\frac{4.50}{2}\\x=2.25$

Putting x=2.25 in Eqn 1

$5(2.25)+y=24.80\\11.25+y=24.80\\y=24.80-11.25\\y=13.55$

The labor fee is $13.55 and each quart of oil is $2.25

Keywords: linear equation, subtraction

Learn more about subtraction at:

#LearnwithBrainly

6 0

3 years ago