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4 years ago

What is the equation of the graph below?

Mathematics

1 answer:

sveta [45]4 years ago

5 0

Answer:

y = csc(x - 3/4 $\pi$ )

Step-by-step explanation:

I forgot how to answer questions like these. I went ahead and tried re-learning this to answer this.

So, the first step is to recognize that this graph can only be the reciprocal function of sin or cosine. I will think of sine.

y = sin(x)

Look at where the x-coordinate of the sin is. (-3/4PI). This is going to be the c value. { y = asin(x-c) }

y = sin(x - 3/4 $\pi$ )

Now, what is the a value? or amplitude? Well, it's just 1.. and the simplest explanation is just to look at my picture.

Now, if we were to graph this, we would end up with the correct x and y values, but the shape is wrong, and the easiest way to fix this is to just take the recpriocal of the sine function.

y = csc(x - 3/4 $\pi$ )

Thank you for this question, I re-learned something I forgot back in pre-calc haha.

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a rectangular picture frame has a width of 9 cm and a length of x cm. which expression represents the perimeter of the picture f

Semmy [17]

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4 years ago

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The relationship between ttt and rrr is expressed by the equation 2t+3r+6=02t+3r+6=02, t, plus, 3, r, plus, 6, equals, 0. If rrr

Greeley [361]

Question:

The relationship between t and r is expressed by the equation 2t+3r+6 = 0. If r increases by 4, which of the following statements about t must be true?

Answer:

The value of t is reduced by 6 when the value of r is increased by 4

Step-by-step explanation:

Given

$2t + 3r + 6 = 0$

Required

What happens when r is increased by 4

$2t + 3r + 6 = 0$ -------- Equation 1

Subtract 2t from both sides

$2t + 3r + 6 - 2t = 0 - 2t$

$3r + 6 = - 2t$ --- Equation 2

When r is increased by 4, equation 1 becomes

$2T + 3(r+4) + 6 = 0$

Note that the increment of r also affects the value of t; hence, the new value of t is represented by T

Open bracket

$2T + 3r+12 + 6 = 0$

Rearrange

$2T + 3r+6 +12 = 0$

Substitutr -2t for 3r + 6 [From equation 2]

$2T -2t +12 = 0$

Make T the subject of formula

$2T = 2t - 12$

Divide both sides by 2

$\frac{2T}{2} = \frac{2t - 12}{2}$

$T = t - 6$

This means that the value of t is reduced by 6 when the value of r is increased by 4

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3 years ago

Your baseball team has 16 players. Use the Distributive Property to write and simplify an expression for the total cost of buyin

Viktor [21]

Answer:

I think the answer is TC = 16 * cost of buying of 1 item

Step-by-step explanation:

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4 years ago

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WILL GIVE BRAINLY!!!!!!!! Factor completely 2x2 + 2x − 12.

kipiarov [429]

Step-by-step explanation:

All of these terms have a common factor of 2, and when we take that out we get 2(x² + x - 6). To factor the polynomial in the parentheses, we have to find 2 numbers with a product of -6 and a sum of 1, and these are 3 and -2. Therefore, the final answer is 2(x + 3)(x - 2).

Hope this helps!

8 0

4 years ago

A standard form of a parabola with points through (2, 0) (3, 2) (4, 6)

LenKa [72]

The standard form of a parabola with points through (2, 0) (3, 2) (4, 6)

is y = x² - 3x + 2 ⇒ 3rd answer

Step-by-step explanation:

The standard form of a parabola is y = ax² + bx + c, where a, b , c are constant

To find a , b , c

You must have 3 points lie on the parabola
Substitute the coordinates of each point in the equation to make system of equations of a , b and c
Solve the system of equation to find them

∵ The standard form of a parabola is y = ax² + bx + c

∵ The parabola passes through points (2 , 0) , (3 , 2) , (4 , 6)

- Substitute the coordinates of each point in the equation

Point (2 , 0)

∵ x = 2 and y = 0

∴ 0 = a(2)² + b(2) + c

∴ 0 = 4a + 2b + c

- Switch the two sides

∴ 4a + 2b + c = 0 ⇒ (1)

Point (3 , 2)

∵ x = 3 and 2 = 0

∴ 2 = a(3)² + b(3) + c

∴ 2 = 9a + 3b + c

- Switch the two sides

∴ 9a + 3b + c = 2 ⇒ (2)

Point (4 , 6)

∵ x = 4 and y = 6

∴ 6 = a(4)² + b(4) + c

∴ 6 = 16a + 4b + c

- Switch the two sides

∴ 16a + 4b + c = 6 ⇒ (3)

Subtract equation (1) from equations (2) and (3)

∴ 5a + b = 2 ⇒ (4)

∴ 12a + 2b = 6 ⇒ (5)

- Multiply equation (4) by -2 to eliminate b

∴ -10a - 2b = -4 ⇒ (6)

- Add equations (5) and (6)

∴ 2a = 2

- Divide both sides by 2

∴ a = 1

Substitute the value of a in equation (4) to find b

∵ 5(1) + b = 2

∴ 5 + b = 2

- Subtract 5 from both sides

∴ b = -3

Substitute the value of a and b in equation (1) to find c

∵ 4(1) + 2(-3) + c = 0

∴ 4 - 6 + c = 0

- Add like terms

∴ -2 + c = 0

- Add 2 to both sides

∴ c = 2

Substitute the values of a , b , c in the standard form above

∵ y = ax² + bx + c

∵ a = 1 , b = -3 , c = 2

∴ y = (1)x² + (-3)x + (2)

∴ y = x² - 3x + 2

The standard form of a parabola with points through (2, 0) (3, 2)

(4, 6) is y = x² - 3x + 2

There is another solution you can substitute the x-coordinate of each point in each answer to find the corresponding value of y, if the value of y gives the same value of the y-coordinate of the point for the three points then this answer is the standard form of the parabola

Learn more:

You can learn more about the parabola in brainly.com/question/8054589

#LearnwithBrainly

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3 years ago

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