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dangina [55]
3 years ago
7

Danielle walked from her house to several locations in her town. The graph represents her distance from home after x hours.

Mathematics
2 answers:
Greeley [361]3 years ago
6 0

Answer:

<h3>a. How far from home was Danielle after 1/2 hour?</h3>

According to the graph, after half hour, Danielle was 1 mile far from home.

<h3>b. What was Danielle's speed between 0 and 1 hour?</h3>

To find the speed we have to apply the formula:

s=\frac{\Delta d}{\Delta t}

From t=0 and t=1, Danielle went from d=0 to  d=2. Replacing this values, we calculate the speed:

s=\frac{\Delta d}{\Delta t}\\s=\frac{2-0}{1-0}=2

Therefore, the speed between 0 and 1 hour is 2 miles per hour.

<h3>c. What was Danielle's speed between 1 and 2 hours?</h3>

The Danielle's speed between 1 and 2 hours is zero (s=0). Because, according to the graph, during this time, Danielle didn't move, and without move, there's no speed.

<h3>d. What is the domain when the function is increasing?</h3>

The domain when the function is increasing refers to the increasing <em>x </em>intervals.

From the graph, this increasing interval is from 0 to 1 hours only, it's the only period of time when Danielle was increasing her position.

<h3>e. What is the domain when the function is decreasing?</h3>

The parts of the decreasing domain are:

  • From 2 to 3 hours.
  • From 3 and a half to 4 hours.

In the graph, you can see these decreasing intervals, which are characterized by a downwards direction of the line.

<h3>f. What is the domain when the function is constant?</h3>

The parts where the function is constant:

  • From 1 to 2 hours.
  • From 3 to 3 and a half hours.

Constant intervals, means no increase, no decrease, just an horizontal line.

bulgar [2K]3 years ago
5 0

Answer:

The answer for A. Would be 1 mile B. 2mph C. 4mph and the rest Im still working on

Step-by-step explanation:

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Georgia [21]

Answer:

\begin{gathered} \text{ A tray of club sandwiches cost \$9} \\ A\text{ tray of vegetarian sandwiches cost \$6.} \end{gathered}

Step-by-step explanation:

Given the information, create the following augmented matrix:

The first order was for 1 tray of club sandwiches, at a cost of $9. The second-order, which cost $69, was for 5 trays of club sandwiches and 4 trays of vegetarian sandwiches.

\begin{gathered} 5x+4y=69 \\ x=9 \end{gathered}

Into an augmented matrix:

\begin{bmatrix}{5} & {4} \\ {\placeholder{⬚}} & {1}\end{bmatrix}\begin{bmatrix}{69} & {} \\ {9} & {}\end{bmatrix}

Solve.

Let x be the cost of a tray of club sandwiches.

Let y be the cost of a tray of vegetarian sandwiches.

\begin{gathered} x=9 \\ Substitute\text{ on the first equation} \\ 5(9)+4y=69 \\ 4y=69-45 \\ y=\frac{24}{4} \\ y=6 \end{gathered}

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Answer:

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Step-by-step explanation:

2 / 3  x  36 = ?

First of all, note that 36 is the same as 36/1 since 36 divided by 1 is 36. Therefore, start by setting up the problem like this:

36 / 1  x  2 / 3

Multiply the numerators together (36 x 2 = 72) and multiply the denominators together (1 x 3 = 3) and make it into one fraction like so:

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