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AlekseyPX
4 years ago
8

Which graph represents the piecewise-defined function?

Mathematics
1 answer:
chubhunter [2.5K]4 years ago
6 0

Answer: The correct option is 1.

Explanation:

The given piecewise function is,

y=\begin{cases}-\frac{4}{5}x-3 & \text{ if } x

It means if x<0, then

f(x)=-\frac{4}{5}x-3

If x\geq2, then

f(x)=3x-10

Since the f(x) is defined for x<0 and x\geq2, therefore the function f(x) is not defined for 0\leq x.

From the graph 2, 3 and 4 we can easily noticed that for each value of x there exist a unique value of y, therefore the function is defined for all values of x, which is not true according to the given piecewise function.

Only in figure the value of y not exist when x lies between 0 to 2, including 0. It means the function is not defined for 0\leq x, hence the first option is correct.

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A rectangle has an area of 0.24 of a square. What are some possibility for the length and width of the rectangle? Tell why
VLD [36.1K]

Answer:

<h3>The possibilities of length and width of the rectangle are </h3><h3>x=1, y=0.24;</h3><h3>x=0.5, y=0.48;</h3><h3>x=0.25, y=0.96;</h3><h3>x=2, y=0.12</h3>

Step-by-step explanation:

Given that the area is 0.24 square meter

The area of a rectangle is given by

Area=length\times width square units

Let x be the length and y be the width.

Since the area is 0.24 square meter, we have the equation:

Area=x\times y = 0.24, with x and y measures in meters

If we want to know some possibilities of x and y, we can assume a value for one of them, and then calculate the other one using the equation.

Now choosing some values for "x", we have:

Put x = 1

1\times y = 0.24

∴ y = 0.24

Now put x = 0.5 we get

0.5\times y = 0.24

∴ y = 0.48

Put  x = 0.25

0.25\times y = 0.24

∴ y = 0.96

Put x = 2

2\times y = 0.24

∴ y = 0.12

8 0
3 years ago
Read 2 more answers
How many numbers lie between the square of 56 and 57
NARA [144]

Answer:

Given, two numbers 56 and 57 we need to find out the numbers lie between the squares of the given numbers.

Now, we have numbers lying between the square of n and (n + 1) is 2n

⇒ Numbers between squares of 56 and (56 + 1) = 2 × 56 = 112

Hence, 112 numbers lies between the square of the given numbers.

7 0
3 years ago
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What is the percent of 72 out of 96
marin [14]
72/96 * 100= 75% so the answer is 75%
4 0
3 years ago
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How long are mid term goals?
Irina-Kira [14]

Answer:

three months-three years

Step-by-step explanation:


8 0
3 years ago
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Ten less than five times a number is less than six times the number decreased by eight
Luden [163]

10 - 5x < 6x - 8

We can treat this inequality like a normal algebraic equation.

<em><u>Add 5x to both sides</u></em>

10 < 11x - 8

<em><u>Add 8 to both sides</u></em>

18 < 11x

<em><u>Divide both sides by 11</u></em>

1.64 < x

X is greater than the value 1.64.

Let's plug the number 2 into each value of x to verify.

10 - 5x < 6x - 8

10 - 5*2) < (6 * 2) - 8

10 - 10 < 12 - 8

0 < 4

It's correct.

Now let's plug 1, which is less than 1.64.

10 - 5x < 6x - 8

10 - 5 < 6 - 8

5 < -2

This is not correct, which means that our answer was correct.

4 0
4 years ago
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