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melisa1 [442]
3 years ago
10

Which of the following accurately shows the range of the function defined below?

Mathematics
1 answer:
tangare [24]3 years ago
5 0

Answer:

[2, positive infinity)

Step-by-step explanation:

the range is the interval of possible y-values or f(x) values.

for x<0 y is always and only 3.

for x between 0 and 2, y = x² + 2.

it clearly increases with increasing x. so, what is y for the smallest x ? the smallest x here is 0.

y = 0² + 2 = 2

for x larger or equal to 2, y = (1/2)×x + 5.

it again increases with increasing x. the smallest x here is 2.

y = (1/2)×2 + 5 = 1 + 5 = 6.

so, the smallest possible value for y is 2. and then it will approach positive infinity, when x approaches positive infinity. but it can never reach that (only after infinite time and at infinite x, so it is officially undefined), so that the interval is open on that end.

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−5.2 + y = 7.5
klio [65]

Answer:

your answer is

d. y = 12.7

5 0
3 years ago
Read 2 more answers
Drina wrote the system of linear equations below.
zalisa [80]

Answer:

Option c, A square matrix

Step-by-step explanation:

Given system of linear equations are

3x-2y=-2\hfill(1)

7x+3y=26\hfill(2)

-x-11y=46\hfill(3)

Now to find the type of matrix can be formed by using this system

of equations

From the given system of linear equations we can form a matrix

Let A be a matrix

A matrix can be written by

A=co-efficient of x of 1st linear equation    co-efficient of y of 1st linear equation   constant of 1st terms linear equation

co-efficient of x of 2st linear equation   co-efficient of y of 2st linear equation  constant of 2st terms linear equation

co-efficient of x of 3st linear equation   co-efficient of y of 3st linear equation    constant of 3st terms linear equation           3\times 3

which is a 3\times 3 matrix.

Therefore A can be written as

A= \left[\begin{array}{lll}3&-2&-2\\7&3&26\\-1&-11&46\end{array}\right] 3\times 3

Matrix "A" is a 3\times3 matrix so that it has 3 rows and 3 columns

A square matrix has equal rows and equal columns

Since matrix "A" has equal rows and columns Therefore it must be a square matrix

Therefore the given system of linear equation forms a square matrix

7 0
3 years ago
Read 2 more answers
1. The 4th, 5th, and 6th terms of an arithmetic sequence are 19, 23, and 27 respectively. What is the first
babymother [125]

Answer: 7

Step-by-step explanation: The only pattern in this sequence that I can see is addition by 4. Therefore, the 3rd term is 15, the 2nd is 11, the 1st is 7.

Please consider Brainliest.

8 0
2 years ago
What is the slope of the line that passes through the points (-6, 8)(−6,8) and (-16, 33) ?(−16,33)?HELPPPPP!!!!
Marina CMI [18]

Answer:

It should be -5/2 for the points (-6,8) (-16,33)

Step-by-step explanation:

5 0
3 years ago
Mrs. Benson has graded 46 math assignments but has 80% of the assignments left to grade. Mrs. Benson has how many math assignmen
timofeeve [1]

Mrs. Benson has 184 math assignments left to grade.

<u>Step-by-step explanation:</u>

Here we have , Mrs. Benson has graded 46 math assignments but has 80% of the assignments left to grade.We need to find Mrs. Benson has how many math assignments left to grade. Let's find out:

Let total Number of math assignments be x , So According to question 46 math assignments are graded & 80% are left i.e.

⇒ x = 46+\frac{80x}{100}

⇒ x -\frac{80x}{100}= 46

⇒ \frac{100x-80x}{100}= 46

⇒ \frac{20x}{100}= 46

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⇒ x=230

Now , Assignments left to grade is :

⇒ 230-46

⇒ 184

Therefore , Mrs. Benson has 184 math assignments left to grade.

4 0
3 years ago
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