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3 years ago

Three concert tickets cost $45 what is the cost per ticket

Mathematics

1 answer:

11Alexandr11 [23.1K]3 years ago

4 0

Answer: 15

Step-by-step explanation:

45$ = 3 Tickets

45 / 3 = 1 Ticket

1 Ticket = 15

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Y=-1/3x^2-4x-5 in vertex form

grigory [225]

Answer:

$Y=-\frac{1}{3}(x+6)^2+7$ [Vertex form]

Step-by-step explanation:

Given function:

$Y=-\frac{1}{3}x^2-4x-5$

We need to find the vertex form which is.,

$y=a(x-h)^2+k$

where $(h,k)$ represents the co-ordinates of vertex.

We apply completing square method to do so.

We have

$Y=-\frac{1}{3}x^2-4x-5$

First of all we make sure that the leading co-efficient is =1.

In order to make the leading co-efficient is =1, we multiply each term with -3.

$-3\times Y=-3\times\frac{1}{3}x^2-(-3)\times4x-(-3)\times 5$

$-3Y=x^2+12x+15$

Isolating $x^2$ and $x$ terms on one side.

Subtracting both sides by 15.

$-3Y-15=x^2+12x-15-15$

$-3Y-15=x^2+12x$

In order to make the right side a perfect square trinomial, we will take half of the co-efficient of $x$ term, square it and add it both sides side.

square of half of the co-efficient of $x$ term = $(\frac{1}{2}\times 12)^2=(6)^2=36$

Adding 36 to both sides.

$-3Y-15+36=x^2+12x+36$

$-3Y+21=x^2+12x+36$

Since $x^2+12x+36$ is a perfect square of $(x+6)$ , so, we can write as:

$-3Y+21=(x+6)^2$

Subtracting 21 to both sides:

$-3Y+21-21=(x+6)^2-21$

$-3Y=(x+6)^2-21$

Dividing both sides by -3.

$\frac{-3Y}{-3}=\frac{(x+6)^2}{-3}-\frac{21}{-3}$

$Y=-\frac{1}{3}(x+6)^2+7$ [Vertex form]

8 0

4 years ago

In the figure, a ll b and m 6 = 146 degrees <br><br> What is the m 2?

Art [367]

Answer:

∠2 = 146°

Step-by-step explanation:

∠2 and ∠6 are corresponding angles and are congruent, hence

∠2 = ∠6 = 146°

7 0

3 years ago

PLSSS HELP IM DESPERATE!!

Lapatulllka [165]

Answer:

graph c

Step-by-step explanation:

Given

| - 2x | = 4

The absolute value function always gives a positive result, however, the expression inside can be positive or negative , that is

- 2x = 4 or - (- 2x) = 4

Solving both

- 2x = 4 ( divide both sides by - 2 )

x = - 2

- (- 2x) = 4

2x = 4 ( divide both sides by 2 )

x = 2

The third graph indicates x = - 2 and x = 2 on the number line

8 0

3 years ago

Find angle sum therom

Allisa [31]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Sum of the interior angles of any triangle is 180° .

Thus ;

$y + 48° + 90° = 180°$

$y + 138° = 180°$

Subtract sides 138°

$y + 138° - 138° = 180° - 138° \\$

$y = 42°$

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4 0

3 years ago

Round 1.0835 to the nearest hundredth

xz_007 [3.2K]

Answer:

1.1

Step-by-step explanation:

8 0

3 years ago

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