What is the domain of function p?
p(x) = /x-1+2

What Is The Domain Of Function P?p(x) = /x-1+2

Answers

Answer 1

Answer:

A.

Step-by-step explanation:

a strange question, as 2 answer options are actually possible, as they define valid domains for this function.

and if the range of the function would include imaginary numbers ("i"), all 4 would be correct.

the problem statement has to be much more precise. you can tell your teacher that.

but I assume, we base just on real numbers and want the biggest domain range. and that is A.

A. for x=1 we get sqrt(0) + 2, which is absolutely valid.

B. a square root of a negative number is undefined in the works of real numbers. we would need "i", the imaginary numbers, to make this a valid function.

C. is also valid. no bad values and expressions involved. it is just a snake range than A.

D. the same a for B.

Answer 2

The domain of the function [tex]f(x) = \sqrt{x - 1} + 2[/tex] is [tex][1,\infty)[/tex]

How to determine the domain?

The function is given as:

[tex]f(x) = \sqrt{x - 1} + 2[/tex]

Set the radicand greater than or equal to 0

[tex]\sqrt{x - 1} \ge 0[/tex]

Take the square of both sides

[tex]x - 1 \ge 0[/tex]

Add 1 to both sides

[tex]x \ge 1[/tex]

This means the possible values of x starts from 1 till infinity

Hence, the domain of [tex]f(x) = \sqrt{x - 1} + 2[/tex] is [tex][1,\infty)[/tex]

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Related Questions

will give brainly please help now <3

Answers

Answer:

16 ounces/minute

Step-by-step explanation:

1 pound = 16 ounce

60 pound = 960 ounce

1 hour = 60 minute

960/60 = 16

what’s the length of the middle segment ?

Answers

Answer:

AB = 15

Step-by-step explanation:

I am assuming this is a trapezoid. The length of the mid-segment of a trapezoid can be found by taking the average of the two parallel sides, in this case, VW and UX.

The average is found by adding the total values and dividing by the number of values, which in this case, is 2.

9+21 = 30

30/2 = 15

AB = 15

4. If your balance on an investment of $100 that has been invested at
a rate of 7.5% is $178.35 at the end of 8 years, does the plan have simple
interest or compound interest?

Answers

Answer:

Simple interest

Step-by-step explanation:

Because its a period of 8 years

A new car has a sticker price of $22,450, while the invoice price on it was $19,450. what is the dollar amount of markup​

Answers

Answer:

Step-by-step explanation:

Dollar amount of markup  = sticker price - invoice price

sticker price is what you pay to buy the car

invoice price is what the dealership has to pay the manufacturer of the car.

sticker price = 22450

invoice price = 19450

Dollar amount of the markup = 22450 - 19450

Dollar amount of the markup = 3000

Find the surface area of a square pyramid with side length 4 yd and slant height 6 yd.

Answers

Answer:

112 yd²

Step-by-step explanation:

Surface area of the square pyramid = area of base + perimeter of base × slant height

Area of base = s²

s = 4 yd

Area = 4² = 16 yd²

Perimeter = 4(s)

Perimeter = 4(4) = 16 yd

Slant height = 6 yd

Surface area of the square pyramid = 16 + 16 × 6

= 16 + 96

= 112 yd²

NEED HELP ON THIS ASAP PLZ!!​

Answers

Answer:

cos0 = 6.8556546i/23 or sqrt-47/23

Step-by-step explanation:

hypotenuse is 23, opposite is 24

we have to find the adjacent using the pythagorean theorem

24^2 + b^2 = 23^2

576+b^2=529

subtract

b^2=-47

b=sqrt-47

sqrt of -47 is 6.8556546i, there is an i since it is the square root of a negative

cos = adjacent/hypotenuse

Last question I need help with an answer not a link

Answers

Answer:

it's toooo complicated

Faith has some coins in two different pockets. The shaded areas in the diagrams below represent the value of the coins in each pocket.

What is the total value, in dollars, of the coins that Faith has in both pockets?​

Answers

Answer:

$3.05

Step-by-step explanation:

Each box is $0.05

The shades boxes represent the value of coin in each pocket :

Number of shaded boxes on the left = 24

Value of coins in left pocket = 24 * $0.05 = $1.2

Number of shaded boxes on the right = 37

Value of coins in right pocket = 37 * $0.05 = $1.85

Tital value if coins :

$1.85 + $1.2

= $3.05

Multiply this please

Answers

Answer:

-70x² + 49x - 63

Step-by-step explanation:

7( -10x² + 7x - 9) =

7( -10x²) + 7(7x) - 7(9) =

-70x² + 49x - 63

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Given f(x)= 17- x2, what is the average rate of change in f(x) over the interval [1, 5)?
O -6
O -1/2
O 1/4
O 1

Answers

-6 because it is yeah so

A rectangle has a length of 16
inches and a width of 6 inches. A similar rectangle has a length of 24 inches. What is the width of the similar rectangle?

Answers

Answer:

9 inches

Step-by-step explanation:

Given

Let;

[tex]L = Length; W= Width[/tex]

So:

[tex]L_1=16in; W_1 = 6in[/tex]

[tex]L_2 = 24[/tex]

Required

Determine [tex]W_2[/tex]

To do this, we make use of the following equivalent ratios

[tex]L_1 : W_1 = L_2:W_2[/tex]

This gives

[tex]16 : 6= 24:W_2[/tex]

Express as fraction

[tex]\frac{6}{16}= \frac{W_2}{24}[/tex]

Multiply by 24

[tex]W_2 = 24 * \frac{6}{16}[/tex]

[tex]W_2 = 9[/tex]

translate into algebraic expression " the sum of five times m and n​

Answers

Explanation:
"Five times" means
5
(
...
)
,
"the sum of a number, say
x
, and

3
", means"{(x+(-3)}=(x-3)#.
Taking all these together, the reqd. Algebraic Expression turns out to be
5
(
x

3
)
.

Solve the inequality 5u≤8u−21 and write the solution in interval notation

Answers

Answer:

Step-by-step explanation:

[tex]5u\leq 8u-21[/tex]

Subtract 8u from both sides

[tex]-3u\leq -21[/tex]

Divide by -3 on both sides

[tex]u\geq 7[/tex]

Interval notation: [greater/less than or equal to], (greater or equal to)

[7,∞)

The solution to the inequality is u ≥ 7, which means that u is greater than or equal to 7. In interval notation [ 7, ∞).

What is inequality?

In mathematics, an inequality is a remark that two values or expressions are not equal. An inequality uses one of the comparison symbols: "<" (less than), ">" (greater than), "≤" (less than or equal to), "≥" (greater than or equal to), or "≠" (not equal to).

Here,

To solve the inequality 5u ≤ 8u - 21, we can start by isolating u on one side of the inequality. We can do this by subtracting 5u from both sides:

5u ≤ 8u - 21

-3u ≤ -21

Divide both sides by -3. Note that dividing by a negative number will reverse the direction of the inequality:

u ≥ 7

Therefore, the solution to the inequality is u ≥ 7, which means that u is greater than or equal to 7. In interval notation [ 7, ∞).

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Please help x – 6 ≥ –7?

Answers

Answer:

x ≥ -1

Step-by-step explanation:

just add 6 to both sides.

Answer:

Inequality Form: x≥−1

Step-by-step explanation:

please help i suck at math and i really need help i do anything just help


Emma and Zeke own an on-line business, EZ Coasters, that sells cork beverage coasters, which can be bought plain or with logos. The price for both types of coasters is $3.00 each. There is also a one-time set-up charge of $25 for coasters with a logo.


1) Write an equation describing the relationship between:
a) The number of plain coasters bought and the cost of the coasters.

b) The number of coasters with a logo bought and the price of the coasters.

c) Is either coaster relationship proportional? Explain in writing how you know.

d) Explain what the unit rate of the line described by each equation means in the context of the coasters.

2) EZ Sales also sells plain natural sandstone coasters for $4.00 each.
a) Write the equation describing this relationship.
b) Indicate whether or not it is a proportional relationship and explain why?
c) Will the graph of this equation ever intersect the graph of the equations for either of the other two EZ Coasters? Explain in typing how you made your decision.

Answers

Answer:

a

Step-by-step explanation:

Gianna brought seven necklaces for $50.75 and Winnie brought three necklaces for $24.60 who got the better deal

Answers

Gianna paid less per necklace so she got the better deal

Gianna: 50.75 / 7 = 7.25
So she paid $7.25 per necklace
Winnie: 24.60 / 3 = 8.20
So she paid $8.20 per necklace

PLEASE HELP GEOMETRY!!!!!!!! DUE TODAY

What is the measure of

Answers

(D) step by step below

Select the correct answer.
The body of a person who weighs 50 kilograms contains around 2 × 102 grams of sodium chloride. How much sodium chloride is contained in the bodies of 1.8 × 103 people who each weigh 50 kilograms? Represent the answer in scientific notation.
A.
3.6 × 105 grams
B.
1.1 × 101 grams
C.
36 × 105 grams
D.
11 × 101 grams

Answers

Answer:

3.6 x 10⁵ g of sodium chloride

Step-by-step explanation:

Answer:

3.6 x 10⁵ g

Step-by-step explanation:

Find the volume of the prism.
8 cm
12 cm
6 cm

Answers

Area of base triangle = 1/2×base×height

Area of base= 8×6×1/2= 24cm²

Area of prism = Bh = 24 × 12 = 288cm³

Answer:

Solution given:

base[b]=6cm

height [h]=8cm

length[l]=12cm

volume of a prism=area of triangle *length

=½*b*h*l=½*6*8*12=288cm³

is a required answer.

What is the interest on a loan of $7,850 that is borrowed at 6.55% for 18 months?

Answers

Answer:

[tex]{ \tt{simple \: interest = }} \\ { \tt principle \times rate \times period}\\ \\ = 7850 \times 6.55\% \times 18 \\ { \tt{interest = 925515 \: dollars}}[/tex]

Answer:

$925,515

Step-by-step explanation:

multiply 7850 by 131/ 20 because 6.55 as a fraction is 131/20 and then multiply it by 18 and divide it by 20 which is the denominator of 131/20

What are the domain and range of this function?

Answers

Answer: Choice DDomain: all real numbersRange: [tex]y \ge 1[/tex]

===========================================

Explanation:

The domain is the set of allowed x inputs. We can plug in any x value we want as the graph stretches on forever to the left and to the right. There aren't any division by zero errors or any issues like that to worry about, so that's why we don't kick out any x values from the domain.

The domain being all real numbers translates to the interval notation [tex](-\infty, \infty)[/tex] which is basically saying [tex]-\infty < x < \infty[/tex]

-----------------------------------

The range is the set of y outputs possible. The graph shows that y = 1 is the smallest y output, so y = 1 or y can be greater than this.

In short, [tex]y \ge 1[/tex] is the range which converts to the interval notation [tex][1, \infty)[/tex] which is the same as saying [tex]1 \le y < \infty[/tex]

-----------------------------------

Extra info:

The equation of this absolute value function is y = |x|+1

Find the limit of the function by using direct substitution Lim x-0(x^2+10)

Answers

9514 1404 393

Answer:

  10

Step-by-step explanation:

Maybe you want ...

  [tex]\displaystyle\lim_{x\to 0}(x^2+10)=0^2+10=\boxed{10}[/tex]

Lighter cars are more fuel-efficient than heavier cars. An environmentalist would like to estimate the true mean weight
of all cars. To do so, she selects a random sample of 30 cars and determines the 90% confidence interval for the true
mean weight to be 2.8 to 3.4 tons. Which of these statements is a correct interpretation of the confidence level?
O There is a probability of 0.90 that the confidence
interval (2.8, 3.4) captures the true mean weight of all cars.
O The environmentalist can be 90% confident that the true mean weight of all cars is between 2.8 and 3.4 tons,
O If many random samples of size 30 are selected from the population of all cars, approximately 90% of the sample
means will be between 2.8 and 3.4 tons.
O If many random samples of size 30 are selected from the population of all cars, about 90% of the intervals would
capture the true mean weight of all cars.

Answers

Answer:

The environmentalist can be 90% confident that the true mean weight of all cars is between 2.8 and 3.4 tons.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

In this question:

90% confidence interval between 2.8 and 3.4 tons. This means that the environmentalist can be 90% sure that the mean weight of all cars is in this interval, that is:

The environmentalist can be 90% confident that the true mean weight of all cars is between 2.8 and 3.4 tons.

2. A set of data consists of the number of years that applicants for foreign service
jobs have studied German and the grades that they received on a proficiency test.
The following regression equation is obtained: = 31.6 + 10.9x, where x represents
the number of years of study and y represents the grade on the test.
a. Identify the predictor and response variables.
b. Interpret the regression equation by interpreting the y-intercept and slope.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the regression equation :

y = 31.6 + 10.9x

x = the number of years of study ;

y = the grade on the test.

The predicted is y which is also the same as the response variable, hence, the response variable is grade on the test

The predictor variable is x, which is the independent variable, which is the number of years of study.

From. The regression output given ;

The slope which is the Coefficient of the predictor variable is 10.9 which means that for every unit change in number of years of study, the grade on test increases by 10.9

The intercept which is the constant value, 31.6, means, the least a person can get in the get in grade is 31.6 (at x = 0)

What value of x is in the solution set of 8x – 6 > 12 + 2x? ​

Answers

Answer:

x  > 3

Step-by-step explanation:

[tex]8x - 6 > 12 + 2x\\\\8x - 6 + 6 > 12 + 6 + 2x\\\\8x > 18 + 2x\\\\8x - 2x > 18 +2x-2x\\\\6x > 18\\\\\frac{6x>18}{6}\\\\\boxed{x > 3}[/tex]

Any value that is greater than 3 would be in the solution set for the inequality.

Hope this helps.

Answer:

x > 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

8x - 6 > 12 + 2x

Step 2: Solve for x

[Subtraction Property of Equality] Subtract 2x on both sides:                      6x - 6 > 12[Addition Property of Equality] Add 6 on both sides:                                     6x > 18[Division Property of Equality] Divide 6 on both sides:                                  x > 3

You measure 34 textbooks' weights, and find they have a mean weight of 69 ounces. Assume the population standard deviation is 8.2 ounces. Based on this, construct a 95% confidence interval for the true population mean textbook weight. Give your answers as decimals, to two places

Answers

Answer:

The 95% confidence interval for the true population mean textbook weight is between 66.24 and 71.76 ounces.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{8.2}{\sqrt{34}} = 2.76[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 69 - 2.76 = 66.24 ounces

The upper end of the interval is the sample mean added to M. So it is 69 + 2.76 = 71.76 ounces.

The 95% confidence interval for the true population mean textbook weight is between 66.24 and 71.76 ounces.

A rectangular field is 0.35 kilometers long and 0.2 kilometers wide. What is the area of the field in square meters?
I need step-by step work?

Answers

Answer : 70 square meter

Area of rectangle = length x width

Here, Area of rectangle = 0.35 x 0.2 = 0.07 square km which is 70 square meter

As answer is required in square meter, you need to convert kilometer into meter.

The area of the rectangular field is 70000 square m if the rectangular field is 0.35 kilometers long and 0.2 kilometers wide.

What is the area of the rectangle?

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

Area of rectangle = 0.35x0.2 = 0.07 square km

1 km = 1000 m

1 square km = 1000000 square m

Area of rectangle = 0.07x1000000 square m

Area of rectangle = 70000 square m

Thus, the area of the rectangular field is 70000 square m if the rectangular field is 0.35 kilometers long and 0.2 kilometers wide.

Learn more about the rectangle here:

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The slope-intercept form of the equation of a line that passes through point (–3, 8) is y = –y minus 3 equals negative StartFraction 2 Over 3 EndFraction left-parenthesis x plus 8 right-parenthesis.x + 6. What is the point-slope form of the equation for this line?

y – 3 = –StartFraction 8 Over 5 EndFraction x plus StartFraction 2 Over 3 EndFraction equals StartFraction one-half EndFraction minus StartFraction 1 Over 5 EndFraction x.(x + 8)
y + 3 = –y plus 3 equals negative StartFraction 2 Over 3 EndFraction left-parenthesis x minus 8 right-parenthesis.(x – 8)
y + 8 = –y plus 8 equals negative StartFraction 2 Over 3 EndFraction left-parenthesis x minus 3 right-parenthesis.(x – 3)
y – 8 = –y minus 8 equals negative StartFraction 2 Over 3 EndFraction left-parenthesis x plus 3 right-parenthesis.(x + 3)

Answers

D. y – 8 = –y minus 8 equals negative Start Fraction 2 Over 3 End Fraction left-parenthesis x plus 3 right-parenthesis.(x + 3)

Step-by-step explanation:

I took the test and got it right

Answer:

its D just did the test on edge

Step-by-step explanation:

Please help a girl out, math is not my forte

Answers

Answer:

80 ft²

Step-by-step explanation:

You are given the formula

a = (1/2)bh

Just plug in the base and height, then multiply

a = (1/2) * 8 *20

a = (1/2) * 160

a = 80 ft²

Answer:

80 [tex]ft^{2}[/tex]

Step-by-step explanation:

Area = [tex]\frac{1}{2} bh[/tex]

Area = [tex]\frac{1}{2}[/tex] 8 · 20

Area = [tex]\frac{1}{2}[/tex] 160

Area = 80 [tex]ft^{2}[/tex]

Activity IB. FIND ME!
Find the area of each circle. Use = 3.14
3.
1.
2.
om
13cm
19in.
5.
33cm
25cm
yan paki sagot​

Answers

1 “113.04m²”
2 “530.66m²”
3 “1133.54in²”
4 “854.865cm²”
5 “1962.5cm²”
Hope it helps :)
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