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SpyIntel [72]
3 years ago
11

What are the domain and range of the inequality y < sqrt x+3+1

Mathematics
1 answer:
love history [14]3 years ago
3 0

Given:

The inequality is:

y

To find:

The domain and range of the given inequality.

Solution:

We have,

y

The related equation is:

y=\sqrt{x+3}+1

This equation is defined if:

x+3\geq 0

x\geq -3

In the given inequality, the sign of inequality is <, it means the points on the boundary line are not included in the solution set. Thus, -3 is not included in the domain.

So, the domain of the given inequality is x>-3.

We know that,

\sqrt{x+3}\geq 0

\sqrt{x+3}+1\geq 0+1

y\geq 1

The points on the boundary line are not included in the solution set. Thus, 1 is not included in the range.

So, the domain of the given inequality is y>1.

Therefore, the correct option is A.

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ryzh [129]

Answer:

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Step-by-step explanation:

8 0
3 years ago
PLEASE HELP WILL GIVE BRAINLIEST PRECALC
nexus9112 [7]

Answer:

270^o  and   450^o

Step-by-step explanation:

Recall that \frac{\sqrt{2} }{2} is a value of the function cosine for the special angles: 135^o and  225^o, then:

\frac{x}{2} =135^o\\x=270^o\\or\\ \frac{x}{2} =225^o\\x=450^o\\

4 0
3 years ago
PLEASE HELP!!!!!! I will give points
Vlada [557]

Answer:

Of the basketball players on the team, exactly 75% of the players have heights above 180

Step-by-step explanation:

So, they are 12 basketball players in total

1 - 170 - This is 1/12

2 - 175 - This is 1/6

1 - 180 - This is 1/12

4- 185 - This is 1/3

3 - 190 - This is 1/4

1 - 195 - This is 1/12

75% (Or 3/4) have heights above 180

Therefore, the answer is B

8 0
2 years ago
How do I solve these?
makkiz [27]

1) The number is 12.

2) There are 7 passengers in a row.

3) Carol, Xavier and Keela drank 580, 1160 and 1260 mL of water, respectively.

<h3>How to resolve word problems involving linear equations</h3>

In this question we find word problems involving linear equations, in each case we need to understand the statement, derive mathematical equations and looking for corresponding solutions by algebraic means. Now we proceed to solve for each case:

Case 1

A variable is found herein and we need to resolve on this linear equation: (x - A number)

(x + 8) / 4 = 1 + (1 / 3) · x

(1 / 4) · x + 2 = 1 + (1 / 3) · x

1 = (1 / 12) · x

x = 12

The number is 12.

Case 2

A variable is found herein and we need to resolve on this linear equation: (x - Number of passengers per row)

30 · x + 12 = 222

30 · x = 210

x = 7

There are 7 passengers in a row.

Case 3

Three variables are found herein and we need to resolve on these linear equations: (x - Water consumed by Carol, y - Water consumed by Xavier, z - Water consumed by Keela)

z = 2 · x                        (1)

y = z + 100                   (2)

x + y + z = 3000           (3)

Finally, we find the solution of this system:

x + (z + 100) + z = 3000

x + 2 · z = 2900

x + 4 · x = 2900

5 · x = 2900

x = 580 mL

z = 1160 mL

y = 1260 mL

Carol, Xavier and Keela drank 580, 1160 and 1260 mL of water, respectively.

To learn more on systems of linear equations: brainly.com/question/21292369

#SPJ1

3 0
1 year ago
Angle ABC is congruent to which angle?
Llana [10]

Answer:

CBA=MNP

Step-by-step explanation:

Side NP=CB

Side NM=AB

then the angles between those sides are equal

6 0
2 years ago
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