how do you find the Domain and Range of the following?
[tex]y = \sqrt{x + 2} - 4[/tex]
Answers
Answer:
Domain : x ≥ -2
Range : y ≥ -4
Step-by-step explanation:
The given function is:
y = √(x + 2) - 4
Domain can be defined as the set of all possible values of x for which the function y is real and defined.
We can see that if we substitute x = -3 in the function, the value of under the underroot becomes negative, so the function becomes imaginary. If we substitute x = -2 or any value greater than that, the value of the function will be real and defined. Hence, the domain of the function is found x ≥ -2.
Range can be defined as all values of y which correspond to the domain. As minimum value of domain is x = -2, we substitute that in the function to get y = -4, which shows the minimum value of range. Hence, Range is y ≥ -4
We can see the domain and range in the graph
![How Do You Find The Domain And Range Of The Following?[tex]y = \sqrt{x + 2} - 4[/tex]](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/u68816mukJdiJlYRHLN7BmVZnXVg2ebw.png)
Related Questions
1000 ml solution of acetic acid contains 21 mL of pure acetic acid find the percent concentration of the solution simplify your answer completely
Answers
Answer:
Step-by-step explanation:
download math photo it will give you free answers
The countries population in 1992 was 147 million . In 1996 it’s was 153 million. estimate the population in 2008 used The exponential growth formula. Round your answer to the nearest million
Answers
Answer:
The population in 2008 is 171 million
Step-by-step explanation:
In order to calculate the population in 2008 using the exponential growth formula we would have to make the following calculation:
population in 2008= population in 1996 + population increased between 1996 and 2008
According to the given data:
population in 1996=153 million
population in 1992=147 million
Therefore, the increase of population from 1992 to 1996=153 million-147 million= 6 million
Therefore, the increase of popoulation is 1 1/2 million each year.
Therefore, if from 1996 and 2008 are 12 years, the population increased between 1996 and 2008= 12 x 1 /1/2 = 18 million.
Therefore, population in 2008=153 million + 18 milliion
population in 2008=171 million
The population in 2008 is 171 million
To be able to compete in a particular class, a bodybuilder can weigh in at no more than
175 pounds and no less than 145 pounds. If the clothes the wrestlers wear add 1
pound, what is the actual weight range, in pounds, for these bodybuilders (in interval
notation)?
Answers
Answer:
Range of weight = 176 - 146 pound
Step-by-step explanation:
Given:
Maximum weight = 175 pound
Minimum weight = 145 pound
Clothes weight = 1 pound
Find:
Range of weight
Computation:
Range = maximum weight - 1 pound
Range = minimum weight + 1 pound
Range = 175 - 1 pound
Range = 145 + 1 pound
Range = 174
Range = 146
Range of weight = 176 - 146 pound
Which best summarizes the Pythagorean Theorem?
A- The sum of the squares of the lengths of the legs of a right triangle equals the square of the length of the hypotenuse.
B- The length of the hypotenuse of a right triangle is greater than the sum of the lengths of the legs.
C- The sum of the lengths of the legs of a right triangle equals the length of the hypotenuse.
D- For any triangle, the sum of the squares of any two side
lengths is equal to the square
of the third side length.
Answers
Answer: A
Step-by-step explanation:
[tex]a^{2} + b^{2} = c^{2}[/tex]
A and B are the legs of the triangle, and c is the hypotenuse. A would make the most sense.
The sum of the squares of the lengths of the legs of a right triangle equals the square of the length of the hypotenuse.
What is Pythagoras theorem?" In a right angled triangle the square of the hypotenuse is equals to the sum of the square of the other two sides of the right angled triangle."
According to the question,
As per the Pythagoras theorem ,
(Hypotenuse)² = (Adjacent side)² + ( opposite side)²
Hence, we conclude that Option A is correct.
Learn more about Pythagoras theorem here
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what is y=-1/4x+4 written in standard form? plsss help!
Answers
Answer:
The standard form of this slope-intercept form is x + 4y = 16.
Answer:
x + 4y =16
Step-by-step explanation:
[tex]y= \frac{-1}{4}x+4[/tex]
Multiply by 4
[tex]4y=4*\frac{-1}{4}x+4*4\\\\[/tex]
4y = -x + 16
x + 4y =16
The owner of a produce stand is selling baskets of peaches, priced by the kilogram. She rounded each measurements to the nearest 1/2 of a kilogram
Answers
Answer: 1 1/2
Step-by-step explanation:
6 1/2 - 5 = 1 1/2
Help me ASAP for this question
Answers
Answer:
18 : 3
Step-by-step explanation:
Basic proportionality question. All we need to here is to expression the given fractions ( [tex]11 \frac{2}{3}[/tex], and [tex]1 \frac{17}{18}[/tex] ) as a fraction itself, and hence expressing the ratio we need to get, in fraction form.
[tex]11 \frac{2}{3} / 1 \frac{17}{18}\\\\[/tex] - So, we have expressed this in a fraction, which we want to reduce
[tex]= \frac{35}{3} / \frac{35}{18}[/tex] - The fractions have been taken as improper fractions
[tex]\\\\= \frac{35}{3}( \frac{18}{35} )\\ \\[/tex] - Now we took the inverse fraction, through multiplication
[tex]= 18 / 3[/tex] - 35 and 35 cancel out, leaving us with the simplified fraction 18 / 3
_____
So now we have 18 / 3, the ratio in fraction form. The scale is thus 18 to 3, or in other words 18 : 3.
Hope that helps!
Type the expression that results from the following series of steps: Start with z , subtract 5, then times by 3.
Answers
Answer:
(z - 5)3
Step-by-step explanation:
Since we are following the directions strictly, we must subtract 5 from z first.
z - 5
Then we multiply the ENTIRE thing by 3
3(z - 5)
Answer:
(z-5)3 or (z-5)*3
Step-by-step explanation:
Use Pedmas. I am sorry I am not good a explaining but that is the answer.
Question 24 on this pictured math sheet please. Have a great day!
Answers
Answer:
[tex]y=-6[/tex].
Step-by-step explanation:
If a horizontal line passing through a point (a,b), then the equation of horizontal line is [tex]y=b[/tex] .
In the given question, it is clear that the horizontal line passing through the point (4,-6).
Here, [tex]a = 4[/tex] and [tex]b = -6[/tex].
Since, the equation of horizontal line is [tex]y=b[/tex] , therefore the required equation is
[tex]y=-6[/tex]
Hence, the equation of horizontal line is [tex]y=-6[/tex].
Find the equation of the parabola that has a vertex at (2,0) and a y-intercept of (0,12).
Question 8 options:
A)
y = (x – 2)2
B)
y = 3(x – 2)2
C)
y = 3(x + 2)2
D)
y = (x + 2)2
Answers
Answer:
C
Step-by-step explanation:
y=3(x-2)² is the equation of the parabola that has a vertex at (2,0) and a y-intercept of (0,12).
what is Parabola?A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.
We have to find equation of the parabola that has a vertex at (2,0) and a y-intercept of (0,12).
Vertex=(2, 0)
y=a(x-2)²
12=a(0-2)²
12=4a
Divide both sides by 4
a=3
Now put a value in above equation
y=3(x-2)²
Hence, y=3(x-2)² is the equation of the parabola that has a vertex at (2,0) and a y-intercept of (0,12).
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Question 6 (5 points)
Solve for the variable x in the equation x + 15 = 62.
Answers
Answer: x = 47
Step-by-step explanation: When you're asked to solve for x in an equation, what you're really being asked to do is get x by itself on one side of the equation.
In this problem since 15 is being added to x, in order to get x by itself,
we must subtract 15 from the left side of the equation.
If we subtract 15 from the left side, we must also subtract 15 from
the right side of the equation to keep the equation balanced.
So we have x = 47.
If f(x) = 6x
6x – 9 and g(x) = (x + 6,
which statement is true?
Answers
Answer: The second option is correct, 6 is in the domain of f composition g.
[tex]\red{plz \: \: \: help} \\ \green{will \: \: give \: \: the \: \: brainliest} \\\blue{ need \: \: \: explanation}[/tex]
Answers
Since [tex] \frac{dy}{dx}=-3-4x[/tex], putting $x=0$ gives us the gradient of the tangent at the point where the curve cuts the Y axis.
Thus $\frac{dy}{dx}=-3$
Answer:
Since , putting $x=0$ gives us the gradient of the tangent at the point where the curve cuts the Y axis.
Thus $\frac{dy}{dx}=-3$
Step-by-step explanation:
f (x) = (x - 6)^2(x + 2)^2
Determine the total number of roots of each polynomial function using the factored form
Answers
Answer:
x = 6 or x = -2
Step-by-step explanation:
Solve for x:
(x - 6)^2 (x + 2)^2 = 0
Split into two equations:
(x - 6)^2 = 0 or (x + 2)^2 = 0
Take the square root of both sides:
x - 6 = 0 or (x + 2)^2 = 0
Add 6 to both sides:
x = 6 or (x + 2)^2 = 0
Take the square root of both sides:
x = 6 or x + 2 = 0
Subtract 2 from both sides:
Answer: x = 6 or x = -2
Answer:
It is 4 on Edgenuity
Step-by-step explanation:
I took the test
Find the area of the triangle. Choices- Question 8 options: a) 70 units2 b) 35 units2 c) 28 units2 d) 14 units2
Answers
Answer:
35 (b)
Step-by-step explanation:
Area of a triangle = (height times base)/2
Height = 5
Base = 14
14 times 5 = 70
70/2 = 35
Answer:
it was b ) 35 units
Step-by-step explanation:
cuz 5*14 you got 70
then when is a triangle you have to do 70 divide by half
so you will got you answer which is b)35 units
hope it helps
The length of a square is 10 cm. Calculate the perimeter of the square A. 40cm² B. 400cm² C. 4ocm D. 414cm² I will mark you as brainliest
Answers
Answer:
40cm^2
Step-by-step explanation:
becuase since all the sides of the square is equal, when you add it up, you will get 40 as your answer
(07.08 LC) The table below shows the values of y for different values of x: Which equation shows the relationship between x and y? (5 points) Select one: a. y = 3x b. x = 3y c. y = 3 + x d. x = 3 + y
Answers
The answer to this question would be A or Y = 3x.
Hope you do great!
What is the measure of the missing angle x?
Answers
Answer:
C. 60°
Step-by-step explanation:
Add the two given angles and subtract from 180°
Answer:
C. 60
Step-by-step explanation:
The total degrees in a triangle is 180. Add up the given angles measures and subtract from 180 to find x.
52 + 68 + x = 180
120 + x = 180
x = 60
The cost of a car is supposed to be no more than 80% of the value for the next year's
model. If a car costs $14,000, what is the cost of the next year's model?
Answers
Answer:
x ≥ $17, 500
Step-by-step explanation:
To find the cost of the next year model, we will follow the steps below;
Let x be the value of next year's model
$14000 ≤ 80% of x
80% of x ≥ $14000
80% × x ≥$14000
80x/100 ≥ $14000
multiply both-side of the equation by 100
80x ≥ $1400000
Divide both-side of the inequality by 80
80x /80 ≥ $1400000 / 80
x ≥ $17, 500
Therefore the cost of next year's model is
x≥$17, 500
a group of 12 friends want to see a movie, only 7 seats are available for the current show, they draw straws to determine who will watch the movie and who will go to a later show. how many different groups are possible for the current showing of the movie? a 426 b 95,040 c 792 d 33, 264
Answers
12choose7=792
Which of the following lines has a negative slope?
Answers
Answer: 3rd graph
Explanation: In order to determine which graph shows a downward or negative slope, we need to be able to look at each of the graphs and determine which line is decreasing when going from left to right.
Notice that the 3rd graph is the only graph with a downward
or negative slope which means that this is our answer.
Answer: mark the guy above as brainiest he deserves it.
Step-by-step explanation:
Jada sells her artwork at a trade show. She made $40 on the first day by selling one photograph, one painting, and one necklace. She made $110 on the second day by selling two photographs, three paintings, and three necklaces. She made $50 on the last day by selling one photograph, one painting, and two necklaces. Which system of equations matches Jada's sales at the trade show?
Answers
Answer:
x + y + z = 40
2x + 3y + 3z = 110
x + y + 2z = 50
Step-by-step explanation:
let
x = photograph
y = painting
z = neckless
the first part reads that jada sells 1 photograph, 1 painting, and 1 neckless. this written in a mathematical formula will be x + y + z = 40
the second part reads that jada sold 2 photographs, 3 paintings, 3 necklaces. This written as a mathematical formula will be 2x + 3y + 3z = 110
the third part reads that jada sold 1 photograph, 1 painting, and 2 necklaces. this written in a mathematical formulawill be x + y + 2z = 50
2x . (x² - 5x + 6) - 3x . (x² + 2x -1)
Answers
Answer:
Step-by-step explanation:
I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me...
Answer:
Here you go mate!
Step-by-step explanation:
Damien , Jake , and Makayla shared a bowl of grapes . Damien ate x grapes . Jake ate 1 more than twice the number of grapes that Damien ate . Makayla ate 5 fewer grapes than Damien ate . If there were 6 grapes left , how many grapes were in the bowl ?
Answers
Answer:
There were (4x + 2) grapes in the bowl
Step-by-step explanation:
Here, we are interested in calculating the total number of grapes in the bowl.
We have 3 people sharing the total
Damien are x grapes
Jake ate 1 more than twice what Damien and that is (1 + 2x) grapes
Makayla ate 5 fewer grapes than Damien: So what Makayla ate is (x-5) grapes
And now, we have 6 grapes left.
To find the total number of grapes in the bowl, we need to add up all what they ate plus what is left.
Mathematically, that would be;
x + 1 + 2x + x -5 + 6
= 4x + 2
Answer:
Write 400% as the ratio 400/100. To find an equivalent ratio, you know that 400 divided by 20 is 20, so 100 divided by 20 will give you the answer. 100 ÷ 20 = 5. Reza ate 5 grapes yesterday.
Step-by-step explanation:
Sample Answer
Determine whether the function is linear or quadratic. Identify the quadratic, linear, and constant terms.
Answers
Answer:
B
Step-by-step explanation:
Use FOIL method
3x(5x) + 3x(- 2) + 3(5x) + 3(- 2)
Simplify to get 15 x^{2} -6x+15x-6
Combine like terms to get 15x^2+9x-6
quadratic funcntion
quadratic term: 15x^2
linear term: 9x
constant: -6
(sorry this was late I had other work and I didn't see this until now)
please mark me brainliest!
Adam runs for 10 minutes at 30 miles per hour. How far does he run?
Answers
Answer:
Hai.
If adam runs 30 Miles per hour, then we can set an equatio.
30miles for 1 hour
x for 10 minutes.
we should do this equity. 10minutes×30miles÷60minutes.
10×30 = 300÷60 = 5miles.
good luck. if you have question, u can ask
Lines l and m are parallel. Parallel lines l and m are cut by transversals s and t. Clockwise from top left, the angles formed by s, t, and l are blank, 85 degrees, (2 x) degrees, (x minus 10) degrees, 1, blank; formed by s and m are blank, 2, blank, blank; formed by t and m are 3, blank, blank, blank. What is the measure of angle 3? 25 degrees 35 degrees 70 degrees 85 degrees
Answers
Answer:
25 degrees
Step-by-step explanation:
In the picture attached, the lines and the angles are shown. There we can see that:
85° + 2x° + (x-10)° = 180°
75 + 3x = 180
x = (180 - 75)/3
x = 35°
∠3 and ∠(x-10)° are alternate interior angles, therefore they are congruent, so:
∠3 = x - 10
∠3 = 35 - 10
∠3 = 25°
Answer:
a
Step-by-step explanation:
edge 2020
The graph below shows the distances, in miles, that a dragonfly can travel in a certain number of hours: Based on the graph, what is the dependent variable, the equation relating the two variables, and how far will the dragonfly travel in 24 hours if it continues to fly at the same speed? (1 point) Select one: a. The dependent variable is time, the equation is y = 22x, and the dragonfly will travel 528 miles. b. The dependent variable is time, the equation is x = 22y, and the dragonfly will travel 1,056 miles. c. The dependent variable is distance, the equation is y = 22x, and the dragonfly will travel 528 miles. d. The dependent variable is distance, the equation is x = 22y, and the dragonfly will travel 1,056 miles.
Answers
Answer:
C
Step-by-step explanation:
The dependent variable is the one on the y-axis which would be distance. This makes sense because the amount of time the dragonfly flies determines the distance it flies. The equation is y = 22x. When x = 24, y = 22 * 24 = 528.
PLZZZZZZZZ HELP WILLL MARK BRAILIEST
Answers
Answer: 9 cm.
Step-by-step explanation:
You are given that increase in snow level are recorded with positive numbers while it is recorded with negative number when it is decreasing.
The initial depth of the snow is 10 cm
The rate = 1/3 cm/h
Time t = 3 hours
Using the formula
Rate = depth / time
Substitute the rate and the time into the formula
1/3 = depth/3
Cross multiply
Depth = 3 × 1/3
Depth = 1 cm
The depth of the snow on Cherry street after 3 hours will be
10cm - 1 cm = 9 cm.
Find the equation of the exponential function represented by the table above
Answers
Answer: Y = 3 × 2^x
Step-by-step explanation:
Let assume that the equation of the exponential function represented by the table is
Y = 3(2)^x
When x = 0
Substitute x for 0. Then,
Y = 3 × 2^0
Anything raised to power of zero is equal to one.
Y = 3 × 1 = 3
When x = 1
Repeat the process
Y = 3(2)^1
Y = 3 × 2 = 6
When x = 2
Y = 3(2)^2
Y = 3 × 4 = 12
And finally, when x = 3
Y = 3(2)^x
Substitute x for 3
Y = 3 × 2^3
Y = 3 × 8
Y = 24.
We can therefore conclude that the equation of the exponential function represented by the table above is
Y = 3 × 2^x