Please explain how you got the answer

The Marcos family consists of 2 adults and 4 children. They spent a total of $40 on circus tickets. Let x represent the cost of

matrenka [14]

Answer:

First Option

Step-by-step explanation:

First, we will find the equation for the total cost of the tickets.

Given x = Cost of 1 adult ticket

y = Cost of 1 Child ticket

Total Cost of tickets at $40:

2x + 4y = 40

To find which graph represent the cost of the tickets,

we can substitute x = 0 to find y and vice-versa.

If x = 0 ,

$2(0) + 4y = 40\\4y = 40\\y = \frac{40}{4} \\= 10$

So when x = 0 , y = 10 which gives the coordinates (0,10).

Now if y = 0,

$2x+4(0) = 40\\2x = 40\\x = \frac{40}{2} \\= 20$

So when y = 0 , x = 20 which gives the coordinates (20,0)

This shows that this particular line passes through these 2 points and therefore the answer is the first option.

6 0

2 years ago

Which of the following is the equation of a parabola with the focus at (0, 3/4) and the directrix y = -3/4?

JulsSmile [24]

Answer:

do you have the picture I actually understand it if I see it in pictures .

5 0

3 years ago

.

oksian1 [2.3K]

Answer:

$t= 6\ s$

Step-by-step explanation:

We know that the equation that models the height of the ball as a function of time is $h(t) = -16t ^ 2 + 80t + 96$ .

Where the initial speed is 80 feet.

When the ball lands on the ground, its height will be $h(t) = 0$ .

So to know how long it will take the ball to reach the ground, equal h (t) to zero and solve for t.

$-16t ^ 2 + 80t + 96 = 0$

To solve this quadratic equation we use the quadratic formula.

For an equation of the form:

$at^2 +bt +c$

The quadratic formula is:

$t=\frac{-b\±\sqrt{b^2 -4ac}}{2a}$

In this case

$a =-16\\b = 80\\c =96$

Then

$t=\frac{-80\±\sqrt{80^2 -4(-16)(96)}}{2(-16)}$

$t_1=-1\\\\t_2=6$

We take the positive solution

$t= 6\ s$

7 0

3 years ago

Read 2 more answers

A square with side length c has an area of 81 square centimeters. The following equation shows the area of the square. c^2 = 81.

kramer

Answer:

9 cm

Step-by-step explanation:

c^2=81

Take the square root of both sides.

The square root of c^2 is c.

The square root of 81 is 9.

c=9

8 0

3 years ago

Read 2 more answers

Let f(x) = 5^x let g(x) = 5^x-7 which statement describes the graph of g(x) with respect to graph of f(x)

Irina18 [472]

Answer: 1. $g(x)$ is translated 7 units down from $f(x)$

Step-by-step explanation:

<h3> The missing statements are:</h3><h3> 1. $g(x)$ is translated 7 units down from $f(x)$ </h3><h3> 2. $g(x)$ is translated 7 units left from $f(x)$ </h3><h3> 3. $g(x)$ is translated 7 units up from $f(x)$ </h3><h3> 4. $g(x)$ is translated 7 units right from $f(x)$ </h3>

Below are shown some transformations for a function $f(x)$ :

If $f(x)+k$ , the function is shifted up "k" units.

If $f(x)-k$ , the function is shifted down "k" units.

If $f(x+k)$ , the function is shifted left "k" units.

If $f(x-k)$ , the function is shifted right "k" units.

Then, in this case, given the function $f(x)$ :

$f(x) = 5^x$

And given the function $g(x)$ :

$g(x) = 5^x-7$

You can identify the transformation:

$f(x)-k$

Therefore, based on the transformations explained before, you can conclude that the graph of the function $g(x)$ is translated 7 units down from the graph of the function $f(x)$ .

4 0

3 years ago