The graph of g is a translation 2 units left of the graph of f(x) = x−−√x. What is the domain of g? A. all real numbers B. x ≥ −2 C. x ≥ 0 D. x ≥ 2

Answers

Answer 1
y=x√x

4 units left means change in x

y=x√x+2

So

Solve for domain

x+2≥0x≥-2

Domain=[-2,oo)

Option A

The Graph Of G Is A Translation 2 Units Left Of The Graph Of F(x) = Xx. What Is The Domain Of G? A. All
Answer 2

The domain of g is x ≥ -2, which is option B.

What is Translation?

Translation is a type of transformation of geometrical figures. After translation, the original figure is shifted from a place to another place without affecting it's size.

Given that,

the graph of g is a translation 2 units left of the graph of f(x) = x√x.

When f(x) is translated k units to the left, the new function will be f(x + k).

So the new function g is,

g(x) = (x + 2) √(x + 2)

In order for the function to be defined, the part inside the square root must be greater than or equal to 0.

x + 2 ≥ 0

x ≥ -2

Hence the domain is x ≥ -2.

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Related Questions

The area of the triangle is 22.4 cm2. Calculate the length, b, of the longest side of the triangle. 97° 3.7 cm a b​

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Answer:

Step-by-step explanation:

What is the solution set of the quadratic inequality f

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Answer:

A quadratic inequality is an equation of second degree that uses an inequality sign instead of an equal sign. The solutions to quadratic inequality always give the two roots. The nature of the roots may differ and can be determined by discriminant (b2 – 4ac).

Class
At the grand opening of a Cooper's department store, every sixth
customer to enter the store is given a free coffee cup and every ninth
customer is given a free tote bag. Which customer will receive both
gifts?
6RP

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Answer:

Amy has $75 to buy 6 new books.If each book costs $5, which equation represents the amount of money ( m) Amy will have left? A. 75-11= m B. 75+15= m C. 75-30= m D.75+30= m

Each of the two numbers were increased by 10. How did the average of the two numbers change?​

Answers

Answer:

Average increased by 10

Step-by-step explanation:

Lets take 2 numbers - 10 and 12. The average of these two numbers is 11. By adding 10 to both of these numbers you get 20 and 22. The average of these numbers is 21. The average of the 2 numbers increased by 10

Which trig ratio will be helpful in finding the missing side length sin(24)

Answers

The sin ratio will be helpful in finding the missing side length and the missing side length is 29.50 units.

What is the trigonometric ratio?

The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

We have a right-angle triangle in the figure in which:

Length of the hypotenuse = x unit

Length of the side opposite to the angle = 12

And the angle is given between sides adjacent to the angle to the hypotenuse = 24°

We know the:

[tex]\rm sin\theta = \frac{Side \ opposite \ to \ the \ angle}{hypotenuse }[/tex]

[tex]\rm sin24 = \frac{12}{x}[/tex]

[tex]\rm x = \frac{12}{sin24}[/tex]

x = 29.50 units

Thus, the sin ratio will be helpful in finding the missing side length and the missing side length is 29.50 units.

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Hannah travels 6 times as many minutes to work as Raoul does. Together,
they travel for 63 minutes. How many minutes does Hannah travel? Draw
a model and write an equation to solve.

Answers

Answer:

hannah 54

raoul 9

Step-by-step explanation:

hannah _ 6x

raoul _ x

6x+x=63

7x=63

x=9

hannah _ 6×9=54

raoul _ 9

How much money will you have in 6 months if you invest $1000 at 3% compounded monthly?
Answers
Step-by-step explanation

Answers

The total amount accrued, principal plus interest, with compound interest on a principal of $1,000.00 at a rate of 3% per year compounded 12 times per year over 0.5 years is $1,015.09.

Compound Interest

Given Data

Principal = $1000Rate = 3%Time = 6 months = 0.5 years

First, convert R as a percent to r as a decimal

r = R/100

r = 3/100

r = 0.03 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 1,000.00(1 + 0.03/12)^(12)(0.5)

A = 1,000.00(1 + 0.0025)^(6)

A = $1,015.09

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Find the distance between the two points in simplest radical form.

Answers

Answer:

  13 units

Step-by-step explanation:

A right triangle can be drawn using the grid lines for legs and the line segment between the two points as the hypotenuse. You can count grid squares or subtract coordinates to find the vertical leg is 12 units and the horizontal leg is 5 units. The Pythagorean theorem tells you the length of the hypotenuse (distance between the points) is ...

  d² = 12² +5² = 144 +25 = 169

  d = √169 = 13

The distance between the two points is 13 units.

_____

Additional comment

This set of dimensions, {5, 12, 13}, is one of several "Pythagorean triples" that often show up in math problems. Other common triples are {3, 4, 5}, {7, 24, 25}, {8, 15, 17}, {9, 40, 41}, and multiples of these.

Problem 2
What is the probability of pulling a heart, replacing it, pulling a club, replacing it, pulling a diamond,
replacing it, then pulling a spade, all from a standard deck?.

Answers

Answer:

subtract one for heart drawn without replacement leaves 51 cards on which thirteen are clubs. probability of drawing club 13/51. After drawing a heart as first card there are 51 cards left and 13 of them are clubs. So the probability on drawing a club then equals 13/51

pls help ! MAPPING SHAPES
A) only sequence a
b) only sequence b
c)both
d) neither

Answers

The answer is D welcome I just knew it In my brain

how do you find the circumference, radius, and diameter in area?

Answers

Answer:

Sample Respond: Let's assume it's equal to 14 cm. Substitute this value to the formula for circumference: C = 2 * π * R = 2 * π * 14 = 87.9646 cm . You can also use it to find the area of a circle: A = π * R² = π * 14² = 615.752 cm² . Finally, you can find the diameter - it is simply double the radius: D = 2 * R = 2 * 14 = 28 cm .

Step-by-step explanation:

I got 100% on the quiz

In creating a new scale for the mercury thermometer, anders celsius initially set the boiling point of water at _____. a. 0° b. 32° c. 100° d. 273°

Answers

Answer: 100 °

Step-by-step explanation:

Use the calculator to find the product. (1. 466 × 10–8)(5. 02 × 105) What is the coefficient of the product? What is the exponent of the power in the product?.

Answers

The product of the factors in the given expression comes to be [tex]7.35932 *10^{-3}[/tex].

The given expression is:

[tex](1.466*10^{-8} )(5.02*10^5)[/tex]

We can rewrite the given expression as

[tex](1.466*5.02)(10^{-8} *10^5)[/tex]

What is the exponent addition rule?

If we have two numbers with the same base we can write the product of the numbers as a single base followed by the addition of exponents.

[tex]a^m*a^n = a^{m+n}[/tex]

[tex]1.466*5.02=7.35932[/tex]

[tex]10^{-8} *10^5 = 10^{-3}[/tex]....from exponent addition rule

So, [tex](1.466*10^{-8} )(5.02*10^5)=7.35932 *10^{-3}[/tex]

Therefore, the product of the factors in the given expression comes to be [tex]7.35932 *10^{-3}[/tex].

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Answer:

7.3593 and -3

Step-by-step explanation:

Got it right on the assignment.

The equation to model Exponential Decay is:
y = a[1 – r)
y= total amount
a= starting amount
r= the growth rate as a decimal
t= number of growth periods
Question 1 (1 point)
Sarah takes 550 mg of an antibiotic. Every hour,
her body breaks down 25% of the remaining drug.
How much will be left after 12 hours?

Guys help me please I really don’t understand this

Answers

I will give some hints. We know most values, we have to solve for y as that is the remaining amount.

y = We have to find.

a = 550 mg (She takes this much)

r = 0.25 (This is 25% as a decimal, don't forget to subtract 1)

t = 12 (This is because over the 12 hours, each hour it breaks down so (12 hours total * 1 hour periods) gives us 12 periods.

I hope this helps!

Natalie surveyed 800 of the students in her school about their favorite color. Students could choose between blue and red. 77% said their favorite color was red. How many students' favorite color was blue?

Answers

184 students said their favorite color was blue. 77% of 800 is 616, then you subtract 800-616 and get 184.

The number of students whose favorite color was blue is 184.

WE are Given that the number of students surveyed by Natalie is 800 and that 77% of them chose red as their favorite color.

We can determine the number of students who chose blue by Finding the percentage of students who chose blue and then converting it to the actual number of students who chose blue.

Consider x be the number of students who chose blue as their favorite color.

Therefore, the number of students who chose red is;

77% of 800

= 77/100 × 800

= 616

To find the number of students who chose blue, we need to subtract the number of students who chose red from the total number of students surveyed.

Therefore:

x = Total number of students surveyed - Number of students who chose red

x = 800 - 616

x = 184

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The experimental probability of a quarter landing on HEADS is 3/5 if the quarter landed on TAILS 36 times how many times tossed.

Answers

Answer:

90 times

Step-by-step explanation:

I don't rly know how to explain it but it's 90 and I hope this helps you at least know the answer if not then sorry for wasting your time and may God bless you:)

Can anyone solve this correctly?

Answers

Answer:

ANSWER

160 in³

Step-by-step explanation:

First, Find the area of the base (rectangle)

A = LxW

= (10 in) x (8 in)

= 80 in²

Then, Find the volume of the pyramid using the formula (V = x B x H)

V = x B x H

= x (80 in²) x (6 in)

= (2 in) x (80 in²)

= 160 in³

is this right? please tell me :) asap!!

Answers

Answer:

A

Step-by-step explanation:

calculate 20% of $88

[tex]\frac{20}{100}[/tex] × $88 = 0.2 × $88 = $17.60

The ratio of green marbles to yellow marbles is
4 green marbles to 6 yellow marbles.
If there are 2 green marbles,
how many yellow marbles are there?

Answers

Answer:

There are three yellow marbles.

Step-by-step explanation:

The way i figure it is since they are both even numbers divide them both by two and you have your answer.

A golfer hits from a tee for a 300-yard hole. Her drive carries 275 yards but it’s 13 degrees off the line from the hole. How much farther must the golfer now hit the ball to reach the hole?

Answers

By using the cosine rule, we will see that the distance between the golfer and the hole is 69.7 yd.

How to find the distance?

Basically, we need to find the length of the missing side of the shown triangle.

So, one side measures 300yd, other side measures 275 yd, and the angle between these sides measures 13°.

Now we can use the cosine rule, where for sides a, b, and c, and angle A (A is the opposite angle to the side a) the rule says:

a^2 = b^2 + c^2 - 2bc*cos(A).

In this case we define:

b = 300ydc = 275 ydA = 13°

Replacing that we get:

a^2 =  (300yd)^2 + (275yd)^2 - 2*(300yd*275yd)*cos(13°) = 4,853.94 yd^2

a = √(4,853.94yd^2) = 69.7 yd

So the distance between the golfer and the hole is 69.7 yd.

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what are the possible values of remainder r, when a positive integer 'a' is divided by 3​

Answers

Answer:

0, 1, 2

Step-by-step explanation:

Euclid's division Lemma states that for any two positive integers ‘a’ and ‘b’ there exist two unique whole numbers ‘q’ and ‘r’ such that , a = bq + r, where 0≤ r < b.

Here, a= Dividend, b= Divisor, q= quotient and r = Remainder.

According to Euclid's division lemma a 3q+r, where 0≤r≤3 and r is an integer.

Therefore, the values of r can be 0, 1 or 2.

Find the area. :)
please and thx

Answers

Answer:

132 cm²

Step-by-step explanation:

To find the area of the figure, start by dividing the figure into smaller rectangles.

Area of figure

= area of shaded rectangle +area of unshaded rectangle

[tex]\textcolor{steelblue}{\text{Area of rectangle= length ×breadth}}[/tex]

Shaded rectangle

Length= 4 cm

Breadth= 6 cm

Area

= 4(6)

= 24 cm²

Unshaded rectangle

Length= 9 cm

Breadth= 12 cm

Area

= 9(12)

= 108 cm²

After finding the area of each rectangle, we can add the two areas together to obtain the total area of the figure.

Area of figure

= 108 +24

= 132 cm²

t divided by 5 = 2.9
What step should be performed on both sides of this equation to find the solution?

Add 5.
Subtract 5.
Multiply by 5.
Divide by 5.

Answers

Answer:

multiply by 5

Step-by-step explanation:

Answer:

3 / C. Your answer is multiply by 5!!!!!

Step-by-step explanation:

Hope this helps!

BRAINLIEST FOR CORRECT ANSWER: What is the area of this figure?

Answers

Step-by-step explanation:

The answer should be 578mi²

Please Help! In a proof to show two triangles are congruent if a given is PR ⟂ CK, which of the following statements most likely will be used within the proof?

Answers

Answer: PR and CK form right angles.

Step-by-step explanation:

By definition, perpendicular lines form right angles, and vice versa (in other words, lines that form right angles are perpendicular). Since we need to show PR is perpendicular to CK, we must first show that PR and CK form right angles.

How many solutions are there?

Answers

Answer:

no solution

Step-by-step explanation:

Solve:

6(2k + 1) = 12k + 1

Expand brackets:

⇒  12k + 6 = 12k + 1

Subtract 12k from both sides:

⇒  6 = 1

As 6 ≠ 1 there is no solution

Answer:

No solution

Step-by-step explanation:

Simplify the L.H.S and the R.H.S

⇒ [tex]6(2k + 1) = 12k + 1[/tex]

⇒ [tex]12k + 6 = 12k + 1[/tex]

Cancel out the "12k"

⇒ [tex]12k + 6 = 12k + 1[/tex]

⇒ [tex]6 = 1 (\text{False})[/tex]

Henceforth, this equation has no solution.

100 BRAINLY POINTS!!!!

The cost, y, in dollars, to purchase x school T-shirts includes a one-time setup fee, plus a charge per T-shirt. The cost is modeled with the linear function y = 6.67x + 35. What is the cost to purchase each T-shirt after the beginning setup cost is paid?

A. $41.67

B. $35.00

C. $28.33

D. $6.67

PLEASE HELP CUH

EXPLAIN YOUR ANSWER
SHOW YOUR WORK

Answers

$6.67 or D IS THE COST OF EACH TSHIRT!

Let's check our given function.

y=6.67x+35

Compare to y=mx+b(Slope intercept)

Slope=m=6.67Y intercept=b=35

So beginning set up is fixed i.e 35 .

per shirt cost the rate of change which is slope

option D is correct


Find the AREA of the figure. (Sides meet at right angles.)

Answers

Answer:

47

Step-by-step explanation:

3 x 4 = 12

7 x 5 = 35

35 + 12 = 47

A surveyor determines that the angle of elevation between herself and the top of an observation tower is 60^o. She determines that the distance between her position and the base of the tower is 20 meters. Approximately how tall is the tower?

Answers

Step by step explanation

1. liola drives 130 m up a hill that has a slope of 7°. what horizontal distance, to the nearest hundredth of a

meter, has she covered?

o 129. 03 m

o 15. 84 m

o 15. 96 m

o 130. 97 m

Answers

Its 130.97 hope I helped

The horizontal distance to the nearest hundredth of a meter, that Liola covered is 129.03 m (option A)

How to determine the horizontal distance?

The following data were obtained from the question:

Hypotenuse = 130 mAngle (θ) = 7°Horizontal distance = Adjacent =?

The horizontal distance Liola covered as she drives 130 m up the hill can be obtained as follow:

Cos θ = Adjacent / Hypotenuse

Cos 7 = Horizontal distance / 130

Cross multiply

Horizontal distance = 130 × Cos 7

= 130 × 0.9925

= 129.03 m

Thus, the horizontal distance Liola covered is 129.03 m (option A)

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