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Allisa [31]
2 years ago
5

Not sure what number 3 is. Linear Relationships. Any help?

Mathematics
1 answer:
IgorC [24]2 years ago
5 0
The value of y varies directly with x, so \dfrac{y}{x}=\text{const}

We have:


\dfrac{y_1}{x_1}=\dfrac{y_2}{x_2}\\\\\\x_1=\dfrac{1}{4}\qquad y_1=25\qquad\qquad x_2=2\dfrac{1}{3}\qquad y_2=?\\\\\\
\dfrac{25}{\frac{1}{4}}=\dfrac{y_2}{2\frac{1}{3}}\\\\\\
100=\dfrac{y_2}{2\frac{1}{3}}\qquad|\cdot2\dfrac{1}{3}\\\\\\
100\cdot2\dfrac{1}{3}=y_2\\\\\\\boxed{y_2=233\frac{1}{3}}

Answer A)
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Breanna purchased 8 oranges for $10.00. Jonathon purchased 6 oranges for $8.00. What was the unit rate for each purchase?
nataly862011 [7]

Answer:

Step-by-step explanation:

breanna's oranges were $1.25

jonathon's oranges were $1.33

4 0
2 years ago
The graph below shows the height of a kicked soccer ball f(x), in feet, depending on the distance from the kicker x, in feet: Pa
Thepotemich [5.8K]
<span>Part A:

a) What do the x-intercepts and maximum value of the graph represent?

The x-intercepts are the distances at which the ball is on the ground.

First, at x = 0, that is when the ball is kicked; second, at x = 30, when the ball falls (return) to the ground.

b) What are the intervals where the function is increasing and decreasing, and what do they represent about the distance and height? (6 points)

The function is increasing in the interval (0, 15) and is decreasing in the interval (15,30)

The increasing interval (0,15) is the horizontal distance from the point the the ball was kicked until it reached its highest altitude, this is where the ball was going upward.

The decreasing interval (15,30) is the horizontal distance from the point where the ball reached its highest altitude until it landed on the ground, this is where the ball was falling down.

Part B: What is an approximate average rate of change of the graph from x = 22 to x = 26, and what does this rate represent 

On the graph you can read that at x = 22, f(x) ≈ 12, and at x = 26 f(x) ≈ 7.

So, an approximate rate of change from x = 22 to x = 26 is given by the equation below:

                                            change on f(x)        7 - 12
average rate of change = --------------------- =    ----------- = -5/4
                                            change of x           26 - 22

That rate represents that the ball fell about 5 ft per 4 ft in that interval.
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5 0
2 years ago
Read 2 more answers
Which of the following demonstrates the Distributive Property?
Nata [24]
4(2a+3) = 8a+ 12 This represents the distribution property because it multiplies everything in the parentheses. 4 X 2a = 8a 4X3=12
4 0
3 years ago
Read 2 more answers
Micah places a mirror on the ground 24 feet from the base of a tree. He walks
irina [24]

The height of tree is 8 feet

<h3><u>Solution:</u></h3>

Given, Micah places a mirror on the ground 24 feet from the base of a tree

At that point, Micah's eyes are 6 feet above the ground  

And he is 9 feet from the image in the mirror.  

To find : height of tree = ?

Let "n" be the height of tree

From the question, we can see there is a directly proportional relationship between heights and distances.

Proportional relationships are relationships between two variables where their ratios are equivalent.

\frac{\text { height of micah eyes above ground }}{\text { distance of micah from mirror }}=\frac{\text { height of tree above the ground }}{\text { distance of tree from mirror }}

\begin{array}{l}{\frac{6 \text { feet }}{9 \text { feet }}=\frac{n \text { feet }}{24 \text { feet }}} \\\\ {\frac{6}{9}=\frac{n}{24}} \\\\ {\text { n }=\frac{1}{3} \times 24} \\\\ {\text { n }=8}\end{array}

Hence, the height of the tree is 8 feet

6 0
2 years ago
Which correctly describes the type of symmetry of the butterfly pictured?
Alexxandr [17]

I'm not 100% sure, but I think it is A - Reflectional symmetry

I think it's Reflectional symmetry because If you look at the body of the butterfly, there is an implied vertical symmetry line right through the body.

This line makes the left image look mirrored to the image on the right.

Hope this helps :))

3 0
2 years ago
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