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Oksi-84 [34.3K]
3 years ago
12

Graph the function. Upload a handwritten copy of your graph as your final answer.

Mathematics
1 answer:
Serhud [2]3 years ago
7 0
The function is divided in 2 parts:

For x<0, the function is y=x, which is a linear function, and its graph is a line.

For x≥0, the function is y=-x^2, which is a quadratic function, and its graph is a parabola.


Note that y=x is the line containing the points (0, 0), (1, 1), (5, 5) etc, that is, it is the line passing through the origin, with an inclination of 45° with the positive x-axis.


The parabola y=-x^2 is the parabola y=x^2 reflected with respect to the x-axis. It contains points like (0, 0), (-1, 1), (2, -4) etc...

The 2 graphs, with domain all real numbers, are shown in the first picture.

The second picture is the graph of the function described in our problem. We use the first picture, but restrict the domains.

That is, we delete the part of the line corresponding to x≥0, and the part of the parabola corresponding to x<0.

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Which is the diameter of a rectangle whose circumference is 13653 cm and one side is 5431 cm​
leonid [27]

Answer:

See below

Step-by-step explanation:

If by circumference you meant perimeter and diameter you mean length, then here is my answer.

Perimeter = 2L+ 2W

13653= 2*L + 2*5431

13653= 2L + 10862     Subtract 10862 from both sides

2791= 2L Divide by 2

L= 1395.5

The diameter is 1395.5

6 0
3 years ago
Can someone help me with this problem://
fiasKO [112]

You can simply collect terms, subtract the constant and divide by the x-coefficient. It is generally considered easier to do those steps if you eliminate fractions first (multiply by 12).

Multiply by 12

... 4(x -1) +3(x +5) = 6

... 4x -4 +3x +15 = 6 . . . . . eliminate parentheses

... 7x +11 = 6 . . . . . . . . . . . .collect terms

... 7x = -5 . . . . . . . . . . . . . . subtract the constant 11

... x = -5/7 . . . . . . . . . . . . . divide by the x-coefficient

_ _ _ _ _ _ _

Here it is the other way.

... x(1/3 +1/4) +(-1/3 +5/4) = 1/2

... (7/12)x + 11/12 = 1/2 . . add the fractions to finish collecting terms

... x + 11/7 = 6/7 . . . . . . . multiply by 12/7

... x = -5/7 . . . . . . . . . . . subtract 11/7

At the third step here, you could subtract 11/12 before doing the multiply. You get the same answer, but you have to do the extra conversion of 1/2=6/12.

8 0
3 years ago
SOMEONE HELP ME PLEASE
marin [14]

Answer:

Step-by-step explanation:

Direct variation problems can easily be solved with proportions, namely:

\frac{x}{y} :\frac{2}{5}=\frac{4}{y} and cross multiply to get

2y = 20 so

y = 10

5 0
2 years ago
Read 2 more answers
Which of the following sentences is true? 30.744 is greater than 30.844. 9.542 is greater than 9.532. 182.348 is less than 182.3
Arturiano [62]

Answer:

the first sentance is wrong, the second one is right, the third one is right and the last one is wrong

Step-by-step explanation:

5 0
3 years ago
WILL MARK BRAINLIEST!!!
Stells [14]
Let y represent the yellow and x the red.
Y= 3x-5 is your equation
5 0
3 years ago
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