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3 years ago

12

3x – 8y > 32 what the answer

1 answer:

Sonbull [250]3 years ago

3 0

Answer:

y < 3/8x-4

Step-by-step explanation:

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A theater has a discount pass that cost nine dollars with the past admission is $6.50 per movie. mike tyrell and juanita all bou

tia_tia [17]

Answer:

They saw <u>24</u> movies.

Step-by-step explanation:

The question is incomplete so the complete question is below:

A theater has a discount pass that cost nine dollars with the pass, admission is $6.50 per movie. Mike, Tyrell and Juanita all bought a pass and went to see movies together they spent a total of $183. Write and solve an equation to find out how many movies they saw.

Now, to find the number of movies they saw.

Let the number of movies they saw be $x.$

Discount pass = $9.

With the pass admission per movie is $6.50.

Total number of people = 3.

Total money spent = $183.

So, to get the number of movies they saw we write an equation:

$3(9)+6.50(x)=183$

Now, to solve the equation:

$3(9)+6.50(x)=183$

$27+6.50x=183$

<em>Subtracting on both sides by 27 we get:</em>

$6.50x=156$

<em>Dividing both sides by 6.50 we get:</em>

$x=24.$

Therefore, they saw 24 movies.

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3 years ago

Jackie has a bond with a 5.6% yield, a bid price of $975, and a face value of

Burka [1]

Answer:5.5%

Step-by-step explanation:

6 0

4 years ago

Two lines, A and B, are represented by the equations given below: Line A: 2x + 2y = 8 Line B: x + y = 4 Which statement is true

Archy [21]

The correct answer is option c

3 0

3 years ago

Start at (6,4) and move 4 units to the left and 2 units down what point will you end up on

Sunny_sXe [5.5K]

The answer would be (2,2)

3 0

4 years ago

Given the equation f(x)=2x^2-14x+10, find g(x), the image of f(x) after a ry=x (reflection over the line y=x). Express your answ

Illusion [34]

Given:

The function is:

$f(x)=2x^2-14x+10$

The function g(x), the image of f(x) after a $r_{y=x}$ (reflection over the line y=x).

To find:

The function g(x).

Solution:

We have,

$f(x)=2x^2-14x+10$

Substitute $f(x)=y$ in the given function.

$y=2x^2-14x+10$

The function g(x), the image of f(x) after a $r_{y=x}$ (reflection over the line y=x). So, interchange x and y.

$x=2y^2-14y+10$

Now, we need to find the value of y.

$x=2(y^2-7y+5)$

$\dfrac{x}{2}=y^2-7y+5$ [Divide both sides by 2]

$\dfrac{x}{2}-5=y^2-7y$ [Subtract 5 from both sides]

Add both sides half of square of coefficient of y, i.e. $(\dfrac{-7}{2})^2$ , to make it perfect square.

$\dfrac{x}{2}-5+(\dfrac{-7}{2})^2=y^2-7y+(\dfrac{-7}{2})^2$

$\dfrac{x}{2}-5+\dfrac{49}{4}=y^2-7y+(\dfrac{7}{2})^2$

$\dfrac{x}{2}-5+\dfrac{49}{4}=\left(y-\dfrac{7}{2}\right)^2$ $[\because (a-b)^2=a^2-2ab+b^2]$

$\dfrac{x}{2}+\dfrac{49-20}{4}=\left(y-\dfrac{7}{2}\right)^2$

Taking square root on both sides, we get

$\pm\sqrt{\dfrac{x}{2}+\dfrac{29}{4}}=y-\dfrac{7}{2}$

$\dfrac{7}{2}\pm\sqrt{\dfrac{2x+29}{4}}=y$

$\dfrac{7}{2}\pm\dfrac{\sqrt{2x+29}}{2}=y$

$\dfrac{7\pm \sqrt{2x+29}}{2}=y$

Substituting $y=g(x)$ , we get

$\dfrac{7\pm \sqrt{2x+29}}{2}=g(x)$

Therefore, the required function is $g(x)=\dfrac{7\pm \sqrt{2x+29}}{2}$ .

6 0

3 years ago