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Svetlanka [38]
2 years ago
9

If you don’t know the answer or full explanation, then please don’t answer at all. Thank you for helping!

Mathematics
1 answer:
KatRina [158]2 years ago
5 0

Answer:

<em>The domain of the function is (-6,6]</em>

<em>The range of the function is [-12.6)</em>

Step-by-step explanation:

<u>Domain and Range of Real Functions</u>

The domain of a function is the set of all possible inputs for the function.

The Range is the set of values the function takes when x moves into the domain.

If the graph of a real function is given, we can find both by using the rules of the horizontal or vertical lines.

If an imaginary vertical line is moved along the x-axis, it can touch or not the graph of the function. All the values of x where the line and the graph cross each other belong to the domain of the function.

The vertical line crosses the function from x=-6 (not included since there is a hollow dot there) to x=6 (included since there is a solid dot).

Thus, the domain of the function is (-6,6]

Similarly, when an imaginary horizontal line is moved along the y-axis, it touches the function from y=-12 (included) to y=6 (not included).

The range of the function is [-12.6)

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an artificial lake is in the shape of a rectangle and has an area of 9/20 square mile. the width of the lake is 1/5 the length o
Gnom [1K]
X=length
y=width
Area (rectangle)=length x width
we suggest this system of  equations:
y=x/5
xy=9/20
solve this system of equations by substitution method:
x(x/5)=9/20
x²/5=9/20
Least common multiple=20
4x²=9
x²=9/4
x=⁺₋√(9/4)
we have two solutions:
x₁=-3/2   it does not validate
x₂=3/2    ⇒y=x/5=(3/2)/5=3/10

The dimensions of the lake are:
lengh=3/2 miles
width=3/10 miles

to check:
Area=3/2 miles x 3/10 miles=9/20 miles².
width is 1/5 the length of the lake ⇒  3/10 miles=(3/2) /5 miles

7 0
3 years ago
Find the key features of the equation and graph it. (Can you explain how to find them and not just the answers please)
Vadim26 [7]

Given a function in a table or in algebraic or graphical form, identify key features such as x- and y-intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; and end behavior. Use key features of an algebraic function to graph the function.

7 0
2 years ago
The cafeteria sold 6 more turkey sandwiches than ham sandwiches. They sold 14 sandwiches in all. How many turkey sandwiches did
Orlov [11]
The cafeteria sold ten turkey sandwiches and they sold four ham sandwiches there are 6 more turkey than ham sold and 10 plus 4 is 14 so voalla your welcome
 
6 0
3 years ago
What is the value of 13x if x = −7?
Arisa [49]

Answer: -91

Step-by-step explanation:

13x, x=-7

plug in the -7 to x

13(-7)

multiply

<h3>-91</h3>
8 0
1 year ago
Graph the function.
disa [49]

Answer:

Line passing through (0,2),(1,-21).

Step-by-step explanation:

y=-23x+2\\at\ y\ axis\ x=0\\y=-23\times0+2\\y=2

hence this line passes through (0,2).

When x=1

y=-23\times1+2\\y=-21

Hence this line passes through (1,-21).

Graph is attached.

3 0
3 years ago
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