Answers
The domain and range of the function will be Real number and [0, ∞). The parent function f(x) is get shifted down by 2 units.
What is an absolute function?The absolute function is also known as the mode function. The value of the absolute function is always positive.
If the vertex of the absolute function is at (h, k). Then the absolute function is given as
f(x) = |x - h| + k
The function is given below.
g(x) = |x + 3|
The graph of the function g(x) is given below. From the graph, the domain and range of the function will be Real number and [0, ∞).
The parent function and translated function are given below.
f(x) |x| and h(x) = |x| - 2
The parent function f(x) is get shifted down by 2 units.
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Related Questions
Solve by completing the square.
j² + 14j + 5 = 0
Write your answers as integers, proper or improper fractions in simplest form, or decimals
rounded to the nearest hundredth.
Submit
or j =
=
Answers
Answer:
\(j = 7 \pm \sqrt{44}\)
Step-by-step explanation:
First, move the constant term to the other side of the equation.
\(j\² + 14j + 5 = 0\)
\(j\² + 14j = -5\)
Next, add the coefficient of the first degree j term divided by 2, then squared to both sides.
\(j^2 + 14j + (14/2)^2 = -5 + (14/2)^2\)
\(j^2 + 14j + (7)^2 = -5 + (7)^2\)
\(j^2 + 14j + 49 = -5 + 49\)
\(j^2 + 14j + 49 = 44\)
Now, we can factor the left side as a square.
\((j+7)(j+7) = 44\)
\((j+7)^2 = 44\)
Finally, we can take the square root of both sides to solve for j.
\(\sqrt{(j+7)^2} = \sqrt{44\)
\(j+7=\pm\sqrt{44}\)
\(\boxed{j = 7 \pm \sqrt{44}}\)
Note that there are two solutions, as \(\sqrt{44\) could be positive OR negative because of the even root property:
if \(x^2 = a^2\),
then \(x = \pm a\)
because both \((+a)^2\) and \((-a)^2\) equal \(a^2\).
end
A cruise ship is 1480 feet from a light house off a Caribbean Island.
If the angle of elevation from the cruise ship to the top of the light
house is 4º, what is the height of the lighthouse? Round to the
nearest whole foot.
Answers
Answer:
104 feet
Step-by-step explanation:
To get the height of the lighthouse, we need to take the sine function of the anglesin4° = 0.07sin4° = h/1480⇒ h/1480 = 0.07⇒ h = 1480 x 0.07⇒ h = 103.6⇒ h = 104 feetA nine-month old baby drank an average of 7 1/4 oz during each of four feedings. If the baby drank 7 1/2oz, 7 3/8oz, & 6 3/8oz in the first three feedings, how many ounces were taken during the fourth feeding?
A) 7 3/8
B) 6 3/8
C) 6 3/4
D) 7 3/4
Show work please
Answers
Answer: D) 7 3/4
Step-by-step explanation:
With averages, we add all the values and divide by the number of values. Here, we know three out of the four days, let's label the day we don't know x. There are four days, so we can divide by four. 7 1/4 is the average, so we can set the equation equal to 7 1/4.
7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x) / 4
Let's multiply both sides by 4 to get rid of the fraction. Let's also add what is in the parentheses
29 = 21 1/4 + x
Now we can isolate x by subtracting 29-21 1/4
so
x = 7 3/4 thus the answer is D
Answer:
D) 7 3/4
Step-by-step explanation:
Let x = amount of last feeding.
7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x)/4
4 × 7 1/4 = 7 1/2 + 7 3/8 + 6 3/8 + x
28 + 1 = 7 4/8 + 7 3/8 + 6 3/8 + x
29 = 20 10/8 + x
(20 10/8 is the same as 20 + 10/8 = 20 + 8/8 + 2/8 = 20 + 1 + 1/4 = 21 + 1/4 = 21 1/4)
29 = 21 2/8 + x
29 = 21 1/4 + x
x = 29 - 21 1/4
x = 28 4/4 - 21 1/4
x = 7 3/4
Answer: 7 3/4
if a line has a slope of 4 and contains the point (-2,5), what is its equation in slope form?
Answers
Answer:
y-y1=m(x-x1)
y-5=4(x + 5)
y-5=4x+20
5. 5
y = 4x + 25
A real estate agent believes that the values of houses in the neighborhood she works in have increased from last year. To test this claim, she selects random houses in this neighborhood and compares their estimated market values in the current year to their estimated market values in the previous year. Suppose that data were collected for a random sample of 8 houses, where each difference is calculated by subtracting the market value of the previous year from the market value of the current year. Assume that the values are normally distributed. What type of test is this hypothesis test?
Answers
Answer:
alternative hypothesis test
Explanation:
Remember, the alternative hypothesis test usually suggests that there is a chance of variation (difference) in the data observed.
Hence, since we are told the "real estate agent believes that the values of houses in the neighborhood she works in have increased (the chance of variation) from last year," and that "each difference is calculated by subtracting the market value of the previous year from the market value of the current year," we can reach the conclusion that this is an example of an alternative hypothesis test.
PLS HELP -
transponder for a toll bridge costs $22.50. With the transponder, the toll is $4 each time you cross the bridge. The only other option is toll-by-plate, for which the toll is $5.25 each time you cross the bridge with an additional administrative fee of $1.25 for each crossing. How many times would you need to cross the bridge for the costs of the two toll options to be the same?
You need to cross the bride _ times?
Answers
Using linear function you would need to cross the bridge 30 times for the costs of the two toll options to be the same.
What is meant by linear function ?To find out how many times you would need to cross the bridge for the costs of the two toll options to be the same, we need to set up an equation.Let x be the number of times you need to cross the bridge.For the transponder option: 22.50 + 4x = costFor the toll-by-plate option: 5.25x + 1.25x = costSince the costs of the two options need to be equal, we can set the two equations equal to each other and solve for x:22.50 + 4x = 5.25x + 1.25x + 22.504x = 5.25x + 1.25x0.75x = 22.50x = 30So you would need to cross the bridge 30 times for the costs of the two toll options to be the same.To learn more about linear function refer:
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Find the vertex of this parabola:
y = -x2 - 4x - 2
Answers
\(===============================\)
In order to find the vertex of a parabola, we use the following formula:
\(\bold{\displaystyle\frac{-b}{2a} }}\)
Remember, a parabola looks like so:
\(\tt{y=ax^2+bx+c}\)
Now we know what a and b stand for.
In this case, b is -4, and a is -1:
\(\hookrightarrow\sf{\displaystyle\frac{-(-4)}{2(-1)}\)
Simplify:
\(\hookrightarrow\sf{\displaystyle\frac{4}{-2} }}\)
Divide:
\(\hookrightarrow\sf{-2}\)
\(===================================\)
Notes:Hope everything is clear.Let me know if you have any questions!Enjoy your day!Always remember: Knowledge is power!Answered by:\(\mathbb{DiAmOnD}\\{\boxed{An~Emotional~And~Creative~Helper}}}}\)
For problems 11-14, identify the property shown. 11. 16×p=16.
Answers
Answer:
Step-by-step explanation:
11. identity property
12. associative property
13. commutative property
14. zero property
Below is the information for a completely randomized experimental design involving four treatments, where 12 observations were recorded for each treatment for a total of 48 observations.
SST = 210 (Sum of Squares Between Groups)
SS Total = 840 (Sum of Squares Total)
The computed value of F, or the test statistic, is ______.
A. 0.25
B. 12.0
C. 4.88
D. 8.0
Answers
Answer:
C. 4.88
Step-by-step explanation:
The computation of the Value of F is shown in the attachment below.
Data provided in the question is as follows
Number of treatments = 4
Total number of observations = 12 × 4 = 48
SST = 210
SS = 840
So, SSW is
= SS - SST
= 840 - 210
= 630
Based on the above information, the value of F is 4.88
Hence, the correct option is C. 4.88
When x > 0 and y > 0, what expression is equivalent to √180x^9y^16 in simplest form?
Answers
Answer:
\(6x^4y^8\sqrt{5x}\)
Step-by-step explanation:
\(\textsf{When $x > 0$ and $y > 0$, we want to find the expression that is equivalent to}\) \(\sqrt{180x^9y^{16}}.\)
\(\textsf{First, apply the radical rule:} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}\)
\(\sqrt{180}\sqrt{x^9}\sqrt{y^{16}}\)
\(\textsf{Rewrite $x^9$ as $x^{8+1}$:}\)
\(\sqrt{180}\sqrt{x^{(8+1)}}\sqrt{y^{16}}\)
\(\textsf{Apply the exponent rule:} \quad a^{b+c}=a^b \cdot a^c\)
\(\sqrt{180}\sqrt{x^{8}\cdot x^1}\sqrt{y^{16}}\)
\(\sqrt{180}\sqrt{x^{8}}\sqrt{x}\sqrt{y^{16}}\)
\(\textsf{Apply\:the\:radical\:rule:\:}\sqrt[n]{a^m}=a^{\frac{m}{n}},\:\quad a\geq 0\)
\(\sqrt{180}\;x^{\frac{8}{2}}\sqrt{x}\;y^{\frac{16}{2}}\)
\(\sqrt{180}\;x^4\sqrt{x}\;y^8\)
\(\sqrt{180}\sqrt{x}\;x^4\;y^8\)
\(\textsf{Rewrite $180$ as $(6^2 \cdot 5)$:}\)
\(\sqrt{6^2 \cdot 5}\sqrt{x}\;x^4\;y^8\)
\(\textsf{Apply the radical rule:} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}\)
\(\sqrt{6^2} \sqrt{5}\sqrt{x}\;x^4\;y^8\)
\(\textsf{Apply the radical rule:} \quad \sqrt{a^2}=a, \quad a \geq 0\)
\(6 \sqrt{5}\sqrt{x}\;x^4\;y^8\)
\(\textsf{Apply the radical rule:} \quad \sqrt{a}\sqrt{b}=\sqrt{ab}\)
\(6 \sqrt{5x}\;x^4\;y^8\)
\(\textsf{Rearrange:}\)
\(6x^4y^8\sqrt{5x}\)
\(\textsf{Therefore, when $x > 0$ and $y > 0$, the expression that is equivalent to}\)
\(\sqrt{180x^9y^{16}}\;\textsf{is}\;\;\boxed{6x^4y^8\sqrt{5x}}\:.\)
Evaluate x+y when x=1/3 and y=(-7/4.Write your answer as a fractionin simplest form.
Answers
Answer:
-17/12
Step-by-step explanation:
1/3 + -7/4
common denominator of both is 12 , so multiply both sides top and bottom by 3 and 4
4/12 + -21/12
4/12-21/12
-17/12
Puan Yani has RM24 700 in her saving account. Her husband has RM75 300 more money than Puan Yani. At the end of May, Puan Yani deposited RM1 300 in her account. What is the total savings they have now?
Answers
The total savings that the couple Puan Yani and her husband have now is A) RM126,000.
How the total savings are computed:The total savings of the couple can be determined by addition.
Addition is one of the four basic mathematical operations, including subtraction, divsion, and multiplication.
Let the amount that Puan Yani has in her savings account, a = RM24,700
Let the amount that her husband has than Puan Yani = RM75,300
The total amount that her husband has = a + 75,300
= RM100,000 (R24,700 + RM75,300)
The additional amount that Puan Yani deposited at the end of May = RM1,300
The total amount that Puan Yani has in her savings account at the end of May = RM26,000 (RM24,700 + RM1,300)
The total savings in the couple's accounts = RM126,000 (RM100,000 + RM26,000)
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A mountain lodge charges a weekly cabin rental fee of $450 for a single guest, plus $125
for each additional guest.
Which of these equations models the relationship between the number of guests, x, and
the total charge, y?
A. y = 450 + 125x
B. y = 450+ 125(x - 1)
C. y = 450+ (125 - 1)x
D. y = (450-x) + 125
Answers
The equation that models the relationship between the number of guests, x, and the total charge, y is A. y = 450 + 125x. The base charge for a single guest is $450, and for each additional guest, the charge increases by $125. So, we add 125 times the number of additional guests to the base charge of $450.
1. The diagram below shows motion of a skier. Her position and times are shown in the figure. She begins motion from point A (t=0min), and makes U-turns at B and C. Find A t = 0 min 40 m * t = 2 min 100 m t = 3 min D a) the distance she moves from point A (t = Omin) to C (t= 2 min) b) the distance from point A (t = Omin) to D (t = 3 min) c) her displacement from B (t = 1 min) to C (t = 2 min) 40 m B t = 1 min +
Answers
The motion of the skier from point A to point B, then to point C, and then point D, indicates that the distances and displacement traveled are;
a) The distance from A to C is 280 meters
b) The distance from point A to point D is 360 meters
c) The displacement of the skier from point B to point C is 120 meters.
What is the displacement of an object?Displacement is the change in the position or location of the object.
The possible diagram of the skier in the question can be presented as follows;
A \({}\) C D B
t = 0 min \({}\) t = 2 min t = 3 min \({}\)t = 1 min
ʂ \({}\) ʂ ʂ ʂ
-|-------|------|------|------|-----|------|-----|------|------|-------|-------|--------|-------|-------|-----
0 \({}\) 20 40 60 80 100 120 140 160
The above diagram indicates that we get;
a) The distance from point A (t = 0 min) to point C(t = 2 min) is can be found as follows;
The skier moves from point A to point B then from point B to point C, therefore,
The distance from point A to point B = 160 m - 0 m = 160 m
The distance from point B to point C = 160 m - 40 m = 120 m
The distance from point A to point C is therefore;
AC = 160 meters - 120 meters = 280 metersb) The distance from point A to point D = The distance from point A to point C + The distance from point C to point D as follows;
AD = AC + CD
CD = 120 m - 40 m = 80 m
Therefore;
AD = 280 m + 80 m = 360 m
The distance from point A to point D is 360 metersc) The displacement of the skier from point B (t = 1 min) to C (t = 2 min) can be found as follows;
The displacement from B to C = 160 m - 40 m = 120 mLearn more on the displacement and distance of an object here: https://brainly.com/question/15127674
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PLEASE HELP ITS DUE IN 30 MIN
Answers
Answer:
M_ -6f
T_ -4f ( T+W= -2F= 6-2=4 = -4f (changing it the greater change would be -4 cause it is meaning as in it changed from 6 to 4 and it didn't talk about if Sunday to Monday temp was sooo (btw if your teacher takes a quick glance of your hw just write down a correct answer on two questions in bolder pencil to catch her eyes to only that)
Step-by-step explanation:
Find the missing coordinate of P, using the fact that P lies on the unit circle in the given quadrant.
Coordinates Quadrant
P( , -5/7) IV
Answers
The missing coordinate of P, using the fact that P lies on the unit circle in the given quadrant is √(2/7) or √(2/7)
The unit circle is a circle with a radius of 1 centered at the origin (0,0) on a coordinate plane. If a point P lies on the unit circle, then the distance from the origin to P is 1.
We can use the distance formula to find out the missing coordinate of P.
The distance formula: \(d = \sqrt((x2 - x1)^2 + (y2 - y1)^2)\)
where (x1, y1) is origin and (x2, y2) is the point P.
Given in the problem that P is in Quadrant IV, then the (x, y)-coordinate is negative.
So we can use the given information and the distance formula to find out the missing coordinate.
\(d = \sqrt((x2 - 0)^2 + (y2 - 0)^2) = 1\)
x2 = -5/7, y2 = -5/7
\(d = \sqrt((-5/7 - 0)^2 + (-5/7 - 0)^2) = \sqrt((-5/7)^2 + (-5/7)^2) = \sqrt(25/49 + 25/49) = \sqrt(50/49) = \sqrt(2/7) = 1\)
Therefore, the missing x coordinate of P is √(2/7) or √(2/7)
P = (-5/7,√(2/7))
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Suppose you have a bag with 25 letter tiles in it and 7 of the tiles are the letter V. If you pick a letter tile at random from the bag, the probability that it is the letter V is 7/25
. Suppose another bag has 500 letter tiles in it and 250 of the tiles are the letter V. Write the probability of picking a tile that is the letter V as a fraction and as a percent. From which bag are you more likely to pick a tile that is the letter V?
Answers
So
\(\\ \rm\hookrightarrow P(E)=\dfrac{|E|}{|S|}\)
\(\\ \rm\hookrightarrow P(E)=250/500=1/2=0.5\)
7/25=0.3Second bag is more preferable
Answer:
Bag 1
Probability of picking a V = P(V) = 7/25 = 0.28
Bag 2
Probability of picking a V = P(V) = 250/500 = 1/2 = 0.5
You are more likely to pick a tile that is the letter V from Bag 2 since 0.5 > 0.28
Write a proportion for each statement. A) the numbers -30 and -25 are proportional to the numbers 12 and 10. B) $6.25 per hour is proportional to $187.50 per 30 hr.
Answers
Define a proportion: A proportion is a statment that two ratios are the same. For example 2 is to 6 as 8 is to 24. This is a proportion because 2 is the one thrid part of 6 as 6 is the one third part of 24.
The question requires us to write a proportion for each statement.
Statement A: the numbers -30 and -25 are proportional to the numbers 12 and 10. The proportion for this statement is
\(\begin{gathered} -30\text{ is to -25 as 12 is to 10} \\ -30\colon-25=12\colon10 \\ This\text{ is the breakdown} \\ \frac{-30}{-25}=\frac{30}{25}=\frac{5\times6}{5\times5}=\frac{6}{5} \\ so, \\ -30\colon-25=6\colon5 \\ \text{Also,} \\ 12\colon10=\frac{12}{10}=\frac{2\times6}{2\times5}=\frac{6}{5} \\ so, \\ 12\colon10=6\colon5 \\ \text{Therefore,} \\ -30\colon-25=12\colon10=6\colon5 \\ -30\colon-25=12\colon10 \end{gathered}\)Statement B: $6.25 per hour is proportional to $187.50 per 30 hr. The proportion for this statement is
\(\begin{gathered} \text{ \$6.25 is to one hour as \$187.50 is to 30 hour} \\ \text{This is the breakdown} \\ 6.25\colon1=187.50\colon30 \\ \frac{6.25}{1}=\frac{625}{100}=\frac{25\times25}{25\times4}=\frac{25}{4} \\ \text{Also,} \\ 187.50\colon30=\frac{187.50}{30}=\frac{1875}{300}=\frac{75\times25}{75\times4}=\frac{25}{4} \\ \\ \text{Therefore,} \\ 6.25\colon1=187.50\colon30=25\colon4 \\ 6.25\colon1=187.50\colon30 \end{gathered}\)Hence, the proportion for statement A is -30:-25=12:10, and the proportion for statement B is 6.25:1=187.50:30
mang celso caught 40 1/2 kg of fish he sold 3/4 flof it how many kg of fish did he sell in all
Answers
Answer:
30 3/8kg or 30.375kg
Step-by-step explanation:
40.5 / 4 = [10.125 or 10 1/8]
[10.125 or 10 1/8] is 1/4
x3
30 3/8 or 30.375
what are the steps to solve this
Answers
Answer:
The equation of this line is y = -4.
Answer:
y=-4
Step-by-step explanation:
zero slope m=0
y-y1=m(x-x1)
y-(-4)=0(x-(-9))
y+4=0
y=-4
1.ABCD is a rectangle.its diagonals meet at O.lif AO = 5x-1 and BO =
4x+9.find the length of the diagonals.(lengths in cm)
Answers
Answer:
\(Length = 98\)
Step-by-step explanation:
Given
\(AO = 5x - 1\)
\(BO = 4x + 9\)
Required:
The length of the diagonal
Since AO and BO are diagonals that meets at O, we have:
\(AO=BO\)
This gives
\(5x - 1 = 4x + 9\)
Collect Like Terms
\(5x - 4x = 1 + 9\)
\(x = 10\)
Subsitute 10 for x in \(AO = 5x - 1\)
\(AO = 5 * 10 - 1\)
\(AO = 50 - 1\)
\(AO = 49\)
The length of the diameter is:
\(Length = AO * 2\)
\(Length = 49 * 2\)
\(Length = 98\)
the cost of 1 kg tomato is RS . 75.Find the cost of 14 kg
Answers
Answer:
Cost of 1kg tomato=rs.75
Cost of 14kg tomato=(75×14)
rs.1050
What are the coordinates of point G on the coordinate grid below?
A
(-4,3)
(4,-3)
-2
4
2
O
-2
4
B
AY
D
2
(4,3)
(-4,-3)
4
G
XA
Answers
Answer:
The answer is G = (4,3)
Step-by-step explanation:
G = (4,3)
Simplify the quotient shown 3480 divided by 29
Answers
Answer:
120
Step-by-step explanation:
3480/29=120
120
Simplify ———
1
final result is 120
Solve for h: W = 5h - 90 (must show step by step)
Answers
Answer:
\(W = 5h - 90 \\ 5h = W + 90 \\ h = \frac{W + 90}{5} \)
Answer:
h = w+90/ 5
Step-by-step explanation:
5h-90=w
5h/5= w+90/5
h= w+90/5
what is 127 percent written as a mixed number in the simplest form ?
Answers
Answer:
\(1\frac{27}{100} \)
Step-by-step explanation:
127% = 100% + 27% = 100/100 + 27/100 = 1 + 27/100
27/100 cannot be written any simpler.
Therefore 127% = \(1\frac{27}{100} \) written as a mixed number
100 Points, please provide full explanation.
Answers
The term "100 points" usually indicates a high level of achievement or success in a particular area.
The term "100 points" can refer to a number of different things depending on the context. For example, in sports, it could refer to a team scoring 100 points in a game.
In wine tasting, it could refer to a perfect score given to a wine by a critic or judge. In school, it could refer to receiving a perfect score on an exam or assignment worth 100 points.
It's important to note that while a perfect score of 100 points is often seen as the ultimate goal, it's not always necessary or even possible in some situations. In many cases, simply doing your best and striving for improvement is enough to be considered successful.
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Kaylee has a points card for a movie theater.
She receives 80 rewards points just for signing up.
She earns 11.5 points for each visit to the movie theater.
She needs at least 210 points for a free movie ticket.
Which inequality can be used to determine v, the minimum number of visits Kaylee needs to earn her first free movie ticket?
Answers
The correct option is (b) i.e. the given inequality best describes the situation.
What is an inequality?
inequality, a declaration of the relation of greater, greater than or equal to, smaller, or less than or equal to between two numbers or algebraic expressions. Theorems are statements of fact that express an inequality. Inequalities can also be expressed as questions that are solved using methods similar to those used to solve equations.
Given : She receives 80 rewards points just for signing up
She earns 11.5 points for each visit to the movie theater
the min. number of visits she needs to visit = v
and, She needs at least 210 points for a free movie ticket.
So, The inequality can be written as :
reward points + 11.5 points per visit ≥ 210
80 + 11.5 v ≥ 210
or, 210 ≤ 80 + 11.5 v
So, The correct option is (b).
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According to the line of best fit what time will the temperature reach 100°c the boiling point of water
Answers
According to the line of best fit, the time that the temperature will reach 100°c the boiling point of water is a 5.
What is the line of best fit?A straight line that minimizes the gap between it and some data is called a line of best fit. In a scatter plot containing various data points, a relationship is expressed using the line of best fit. It is a result of regression analysis and a tool for forecasting indicators and price changes.
It should be noted that with the increase in time, the temperature increases as well.
Therefore, the time that the temperature will reach 100°c the boiling point of water is a 5.
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transformation of the graph of f(x)=x^3 for the graph of g(x)=-x^3
Answers
The transformation was a reflection over the x-axis. This is because \(g(x)=-f(x)\).