Answer:
<em>The shop made a profit about $40.</em>
<em>Step-by-step explanation:</em>
<em>Now, According to the question We know that :</em>
<em>The shop marked the $200 price up by 60%.</em>
<em>60% of $200 is = $120. </em>
<em>Now, the price is = $320 because, 200 + 120 = 320. </em>
<em />
<em>Joseph bought the tennis racket at 25% off.</em>
<em>25% of $320 is = $80.</em>
<em>Now, the discount price is = $240 Because, 320 - 80 = 240.</em>
<em />
<em>So, Joseph bought the racket for = $240.</em>
<em />
<em>Now we know that the original price from the factory was $200.</em>
<em>Joseph bought it for $240.</em>
<em>So, the shop made a profit of $40.</em>
By critically observing the graph, we can infer and logically deduce the following points:
- The linear function is given by y = 0.0169x + 32.485.
- The initial temperature for both data is greater than 32°C.
- The final temperature for both data is less than 33.5°C.
- Between 1980 and 2020, the temperature for graph 2 (thick-continuous line) was constant.
- Graph 1 (thin-dashed line) is essentially a linear graph.
<h3>What is a graph?</h3>
A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
<h3>What is a linear function?</h3>
A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.
This ultimately implies that, the data of a linear graph are directly proportional and as such, as the value on the x-axis increases or decreases, the values on the y-axis also increases or decreases.
By critically observing the graph which models the changes in temperature over a specific period of time (in years), we can infer and logically deduce the following points:
- The linear function is given by y = 0.0169x + 32.485.
- The initial temperature for both data is greater than 32°C.
- The final temperature for both data is less than 33.5°C.
- Between 1980 and 2020, the temperature for graph 2 (thick-continuous line) was constant.
- Graph 1 (thin-dashed line) is essentially a linear graph.
In conclusion, there are four (4) points of intersection on this graph.
Read more on graphs here: brainly.com/question/25875680
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The answer would be (8/11,0) as the x-intercept
Step-by-step explanation:
-7(-4p+1) + 2p
-7 x -4 = 28p
-7 x 1 = -7
28p + 2p = 30p
so
30p-7
Answer:
<h2>x³ + x² - 3x - 3</h2>
Step-by-step explanation:
I'm assuming g*f means g times f, so you want to multiply the two functions together.
(x² - 3)(x + 1) Since the product is 2 binomials, use FOIL
= x²(x) + x²(1) - 3(x) - 3(1)
which simplifies to
<h2>x³ + x² - 3x - 3</h2>
