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Ne4ueva [31]
3 years ago
14

What is the range of the function y= √x+5

Mathematics
2 answers:
Fofino [41]3 years ago
5 0

Answer: {f(x)∈R∣f(x)≥0}

Step-by-step explanation: The square root function never produces a negative result. Therefore, for the function f(x)=√x+5 , the domain is {x∈R∣x≥−5} and the range is {f(x)∈R∣f(x)≥0} .

Tema [17]3 years ago
3 0

Answer:

Y>0

Step-by-step explanation:

To determine the range of this function, we must first evaluate the domain. The square root function is a nice, neat function as long as the radicand isn’t negative. In this function, the radicand becomes negative after x gets smaller than -5, so the domain of this function is [-5, infinity).

Now that we know the domain, we can calculate the range. Beginning with the left boundary, we can substitute -5 into the function to see what y equals at this x-value. At -5, y equals 0, so the minimum value for the range is 0; with the right boundary, substituting infinity yields infinity, so the range is any number greater than 0.

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Use synthetic substitution to evaluate the polynomial P(x) = x^3-3x^2+4x-7 for x=3
Zina [86]

Answer:

\frac{x^3-3x^2+4x-7}{x-3} =(x^2+4)+\frac{5}{x-3}

Step-by-step explanation:

We are given polynomial as

P(x)=x^3-3x^2+4x-7

and it is divided by x=3 or x-3

we can use synthetic division

so, we got

Remainder =5

Quotient is

=x^2+0x+4

=x^2+4

we can write as

\frac{x^3-3x^2+4x-7}{x-3} =(x^2+4)+\frac{5}{x-3}


3 0
3 years ago
Find the length od ypx. Leave your answer in terms of pi
Liono4ka [1.6K]

your answer is

b = 15 pi

length of ypx = circumfrance of circle - 1/4 of circumfrance of circle

= 2pi r - 2pi r/4 = 6 pi r / 4 = 3 pi r / 2

= 3 pi × 10/2 = 15 pi

5 0
3 years ago
Read 2 more answers
What scale factor was used in the dilation ????? Helpppppp
slava [35]

Answer:

5

Step-by-step explanation:

Dilation = dividing original by (number) to = dilated version.

10/5=2

Dividing 10 by 5 to = 2

(10=original size) (2=dilated size)

8 0
3 years ago
SELECT ALL THAT APPLY. In a population of 250 students, 60% are Whites, 20% are Latinos, 15% are Blacks, and 5% others. In a pro
Sophie [7]

In a proportionate stratified sample of 120, there are 72 Whites, 24 Latinos, 18 Blacks and 6  others.

Proportionate Stratified Sample

A proportionate stratified sample is one in which the size of the strata in the sample is proportional to the size of the strata in the population; in other words, the chance of selecting a unit from a stratum depends on the relative size of that stratum in the population.

Calculating the Proportionate Stratified Sample

The given percentage of -

Whites = 60%

Latinos = 20%

Blacks = 5%

Strength of the sample = 120

⇒ Number of Whites = 60% of 120

= 0.6 × 120

=72

Number of Latinos = 20% of 120

= 0.2 × 120

=24

Proportionate Stratified Sample of Blacks and Others

Count of Blacks = 15 % of 120

= 0.15 × 120

= 18

Count of others = 5% of 120

= 0.05 × 120

6

Thus, in a Proportionate Stratified Sample of 120, 72 are Whites, 24 are Latinos, 18 are Blacks, and 6 are others.

Learn more about Proportionate Stratified Sample here:

brainly.com/question/20692763

#SPJ4

6 0
2 years ago
For a school play, Rico bought 3 adult tickets and 5 child tickets for $40. Sasha bought 1 adult ticket and 5 child tickets for
Serhud [2]

The cost of one adult ticket is $7.5 and one child ticket is $3.5

Julia will pay $48 for 5 adult tickets and 3 child tickets.

Step-by-step explanation:

Let,

Cost of one adult ticket = x

Cost of one child ticket = y

According to given statement;

3x+5y=40    Eqn 1

x+5y=25      Eqn 2

Subtracting Eqn 2 from Eqn 1

(3x+5y)-(x+5y)=40-25\\3x+5y-x-5y=15\\2x=15

Dividing both sides by 2

\frac{2x}{2}=\frac{15}{2}\\x=7.5

Putting x=2.5 in Eqn 1

3(7.5)+5y=40\\22.5+5y=40\\5y=40-22.5\\5y=17.5

Dividing both sides by 5

\frac{5y}{5}=\frac{17.5}{5}\\y=3.5

The cost of one adult ticket is $7.5 and one child ticket is $3.5

5 adult tickets = 5*7.5 = $37.5

3 child tickets = 3*3.5 = $10.5

Total = 37.5+10.5 =$48

Julia will pay $48 for 5 adult tickets and 3 child tickets.

Keywords: linear equation, subtraction

Learn more about subtraction at:

  • brainly.com/question/3071107
  • brainly.com/question/3126500

#LearnwithBrainly

8 0
3 years ago
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