Answer:
See below
Step-by-step explanation:
<h3>Graphing:</h3>
we are given two functions
where f(x) is a <em>linear</em><em> </em><em>function</em> and g(x) is a <em>q</em><em>uadratic </em>function
we want to figure out the solutions of the function
let's graph f(x):
the Black-table is attached
let's graph g(x):
the picture is attached
hence, the graph should be
the graph is attached
<h3>solutions stating:</h3>
so we need solution(s) which satisfy(ies) the both functions
in this case the solution (s) the x coordinate(s) where both functions intercept we get from the graph that both functions intercept at <u>(</u><u>-</u><u>1</u><u>,</u><u>6</u><u>)</u> and <u>(</u><u>3</u><u>,</u><u>2</u><u>)</u>
hence,
x={-1,3}
The distance of the spaceship in discuss as in the task content given can be evaluated as; 800miles.
<h3>What is the distance the spaceship travels in 4 minutes?</h3>
The distance travelled by the spaceship in discuss can be evaluated by means of the slope of the linear relationship as follows;
Hence it follows from ratios that by observation, the linear relationship has a slope of 200mi/min.
Consequently, we can evaluate the distance travelled after 4 minutes as;
Distance = 200 × 4 = 800mi.
Ultimately, the distance travelled per minute by the spaceship is; 800mi.
Remarks:
600 miles
520 miles
800 miles
1,080 miles
Read more on ratios;
brainly.com/question/13513438
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Using a system of equations, it is found that the cost of a t-shirt is of $3 and the cost of a notebook is of $5.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
The variables are given as follows:
- Variable x: Cost of a t-shirt.
- Variable y: Cost of a notebook.
Considering the costs of the purchases of Clubs A and B, the matrices give the equations as follows:
- x + y = 8 -> y = (8 - x).
Hence, replacing the second equation into the first:
3x + 2(8 - x) = 19
x = 3.
y = 8 - x = 8 - 3 = 5.
The cost of a t-shirt is of $3 and the cost of a notebook is of $5.
More can be learned about a system of equations at brainly.com/question/24342899
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Answer:
<em>I</em>(-1,3)
Step-by-step explanation:
Moving 3 units left adds -3 to x value
Moving 6 units up adds 6 to the y value
2 - 3 = -1
-3 + 6 = 3
(-1,3)
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