If you apply the changes below to the absolute value parent function, fx) = x
what is the equation of the new function?
• Shift 5 units to the left.
• Shift 4 units down.
A. g(x) = 5x + 41 - 5
B. g(x) = 1x - 51 - 4
C. g(x) = 5x + 51 - 4
D. g(x) = 1x - 41 - 5
Answers
The required function after shifting its origin will be g(x) = |x + 5| - 4.
What is Shifting of Origin?
To shift the coordinates of origin to (h,k): Replace x by (x-h) and y by (y-k) in the given equation and get the new equation.
Here, given function f(x) = |x|
or y = |x|
Now, Shift 5 units to the left. x replaces with x - (-5) = x + 5
Shift 4 units down, y replaces with y -(-4) = y + 4
Now equation after shifting ,
y - k = | x - h|
y = |x -h| + k
y = |x - (-5)| +(-4)
g(x) = |x+5|-4
Thus, The required function after shifting its origin will be g(x) = |x + 5| - 4.
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Answer:
Step-by-step explanation:
Related Questions
Please help will give brainliest
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Answer:
I think is the last one
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Help me fast pls this is on FLVS help me pls
Answers
Here is a tip, highlight the whole question, copy it, paste it into google, and it will be there on brainly
Answer:
Equation 1
Step-by-step explanation:
It is the only equation to not have a square root. If a square root is present in the equation, it is NOT a linear function.
Hope this helps!
x divided by six eqauls twentyfive
x/6=25
Answers
Answer:
x = 150Step-by-step explanation:
x / 6 = 25
x = 25 (6)
x = 150
Answer: x=150
Step-by-step explanation:
What is the answer to 5 (y-10) = -5
Answers
Answer:
5(y-10)=-5
5y-50=-5
5y=45
y=9
Step-by-step explanation:
distribute
add 50 to the other side and undo it from its original side
get the variable by itself by dividing 5 on both sides
then you have your answer
I hope this helps!
Answer:
9
Step-by-step explanation:
5(y-10)=5
divide both sides by 5
50-5=45
45 divided by 5 is 9
Derek can do 50 pushups. Roger can do
8% fewer than Derek can do. How many
pushups can Roger do?
Answers
Answer: 40
Step-by-step explanation: 50x0.8=40
Okay, maybe im wrong? But i dont see how its 4 thats more than half.
Rodger can do 46 pushups.
50 * 0.92 = 46
Edit: To better clarify, 0.92 is from 1.00 - 0.08.
... 8 percent fewer than 100 percent is 92 percent; 1.00 - 0.08 = 0.92
Keep in mind that:
1.00 = 100%
0.08 = 8%
0.92 = 92%
After finding this you may multiply 50 * 0.92 to get 46.
Mrs. Ryan did 121 sit-ups in 8 minutes. Estimate the number of sit-ups she did in 1 minute.
Answers
Answer:
he did 15 sit ups in 1 minute.
Step-by-step explanation:
you divide 121 and 8
Answer:
15 sit-ups per minute
Step-by-step explanation:
121÷8=15.125
15
Yall are so wrong do your math again people
Answers
Answer:
What math? you havent posted anything on here
2. Findf(g(x))andg( f(x)).
f(x) = 102; 9(1) = 1 + 3
Answers
Answer:
9=4
Step-by-step explanation:
9(1)= 1+3
9(1)=9
1+3=4
9:4
The age (in years) of 10 students practicipating in an english drama are 10, 6,8,19,12,8,10,18,19,15 find the median age of the particapating
Answers
Answer:
11
Step-by-step explanation:
First, list the numbers from least to greatest.
6, 8, 8, 10, 10, 12, 15, 18, 19, 19
find the middle term. There are ten terms, therefore there are 2 middle terms. You will add them togetehr and divide by two.
10+12=22/2=11
Aaliyah read the first 16 of a book on Monday, the next 215 on Tuesday, the next 13 on Wednesday, the next 115 on Thursday, and then the last 72 pages on Friday.
Answers
16+215+13+115+72=431pages
An isosceles trapezoid has a perimeter of 41 in. Its short base measures 1 inch and its longer base measures 2 inches. the two remaining sodes have the same length what is that length ?
Answers
Answer:
it is 6 inches
Step-by-step explanation:
Consider the function. find f(5)
Answers
Answer:
f(5) = -1
Step-by-step explanation:
f(5) is x = 5.
When x = 5, y = -1.
Therefore, f(5) = -1
Which term describes this figure?
C°
Answers
Answer: Celsius
Step-by-step explanation: Scale based on 0° for the freezing point of water and 100° for the boiling point of water.
Determine the value of y, if x is 5.
y = |x| + 10
Answer:
Answers
The bars around the x means absolute value, which only shows that the number is positive no matter what, even if the number inside is originally negative.
Answer:
[tex]y=15[/tex]
Step-by-step explanation:
Insert the given value of x into the equation:
[tex]x=5\\\\y=|x|+10\\\\y=|5|+10[/tex]
The absolute value of a number is its distance from zero on the number line. Therefore, the absolute value of a number will always be positive. The distance of 5 from zero on the number line is:
[tex]y=5+10\\\\y=15[/tex]
:Done
Find the missing number so that the equation has no solutions.
X - 18
= 2x – 13
Answers
Answer:
X=-5
Step-by-step explanation:
Answer:
Step-by-step explanation: x-5 i think
Show that the points P(3,4) z Q(7,8) , R(11,4) are the vertices of an isosceles triangle.
Answers
Answer:
i mean its all about drawing the graph.
Step-by-step explanation:
I hope this helps!
solve for u pls thanks
Answers
Answer:
U= -7
I hope this helps!!
Answer: u=-7
Step-by-step explanation:
-18 = -4 + 2u
Add 4 to -18
-14=2u
Divide by 2
U=-7
I need help graphing -4x + 12y = -24 I'm lazy so I don't want to do it by myself
Answers
Answer:
Check out the graph
22x^3 y^4+28x^2 y^5+34xy^4
Answers
Answer:
2xy4 • (11x2 + 14xy + 17)
Step-by-step explanation:
(((22•(x3))•(y4))+((28•(x2))•(y5)))+(2•17xy4)
(((22•(x3))•(y4))+((22•7x2)•y5))+(2•17xy4)
(((2•11x3) • y4) + (22•7x2y5)) + (2•17xy4)
5.1 Pull out like factors :
22x3y4 + 28x2y5 + 34xy4 = 2xy4 • (11x2 + 14xy + 17)
Trying to factor a multi variable polynomial :
5.2 Factoring 11x2 + 14xy + 17
Final result :
2xy4 • (11x2 + 14xy + 17)
Express in the form
1
:
n
8
:
24
Answers
Answer:
1:3
Step-by-step explanation:
Answer:
1:3 is the correct answer
The “Flip the Switch” challenge has a 10-second-long music clip. You film a 17-second-long video. What percent of your video does the music clip represent? *
Answers
10/17 as a decimal is 58.82, so rounded up, it would be 59^
Solve For b show your work 3b+2(b-3)=4
Plz show work
Answers
Step by Step explanation:
In order to compete successfully, a producer must produce goods that are
more expensive than those of competitors.
of a lesser quality than those of competitors.
of a higher quality than those of competitors.
created without worrying about the costs of production.
Answers
Answer:
of a higher quality than those of competitors.
Step-by-step explanation:
To compete successfully, a producer should ensure that they must produce goods that are of a higher quality than those of their competitors.
The quality of a product is usually a deterministic characteristic of how the public will receive such material.
A quality good produced gives consumers better value for money spent in procuring them. This will ensure a high reliability on the part of the consumers towards the producers. Even at higher prices, most consumers will crave for a good and quality product since they are rest assured of getting maximum value from it.Therefore, a higher quality of goods produced will make a producer compete more successfully.
Answer:
C) Of a higher quality than those of competitors.
Which of the following statements is correct about the value of
16 + 101 ?
A.
16 + 101 is neither a rational or irrational number
B.
16 + 101 is an integer
C.
16 + 101 is an irrational number
D.
16 + 101 is a rational number
Answers
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The graph represents the balance on Harrison’s car loan in the months since purchasing the car.
Answers
Answer: It’s A
Step-by-step explanation:
Answer:
A,the loan balance decreases $500 per month.
Step-by-step explanation:
79x10 to the power of 7 +6.5x10 to the power of 6
Express your answer in scientific notation
Answers
Answer: 10⁶⁵⁰⁰⁰⁰⁷ × 79
A pair of parallel lines is cut by a transversal: A pair of parallel lines is cut by a transversal. The interior angle made on the left by the intersection of the upper parallel line and the transversal is divided into 2 parts by a slanting line. One part of this angle is labeled as x, and the other part is labeled as 30 degrees. The interior angle made on the right by the intersection of the lower parallel line and the transversal is labeled as 75 degrees. What is the measure of angle x? (1 point)
Answers
Answer:
Step-by-step explanation:
Use the diagram in the attachment for reference. You can substitute the values given in question in place of the one in the diagram.
From the diagram, it can be seen that the sum of angle x and 20 is equal to angle 75 degrees i.e x+30 = 75 (alternate angles)
Next is to find the value of x from the equation
x+30 = 75
Subtract 30 from both sides of the equation;
x+30-30 = 75-30
x = 75-30
x = 45
Hence the measure of angle x is 45°
Answer:
The answer is 45
Step-by-step explanation:
I got this on a test once and got it right
what is the unit rate of 1/4 kilometer in 1/3 hour
Answers
Answer:
3/4 km in 1 hour
Step-by-step explanation:
You divide to find unit rate.
1/4 divided by 1/3 is
1/4 x 3/1 = 3/4
3/4 kilometers in 1 hour
Hope this helps :)
The required rate of 1/4 kilometer in 1/3 hour is 3 / 4 Kilometer per hour.
Given that,
To determine the unit rate of 1/4 kilometer in 1/3 hour.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
What is the rate of change?The rate of change is defined as the change in value with the rest of the time is called rate of change.
Here,
The unit rate of 1/4 kilometer in 1/3 hour,
Rate = (1 / 4 kilometer) / (1 / 3 hour)
Rate = 1 / 4 / 1 / 3
Rate = 3 / 4 Kilometer per hour.
Thus, the required rate of 1/4 kilometer in 1/3 hour is 3 / 4 Kilometer per hour.
Learn more about arithmetic here:
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Evaluate the expression if m=4 n=3 and p=2
5m-4n+p=
Answers
The equation would look like
5(4)-4(3)+2
And if you solve it, you’ll get 10 as your answer
Answer:
[tex]10[/tex]
Step-by-step explanation:
[tex]5m-4n+p[/tex]
You would substitute in the given values and then combine like terms
[tex]m=4\\n=3\\p=2[/tex]
[tex]5(4)-4(3)+(2) = 20-12+2=10[/tex]
Daniela and Jack are hiking a steady incline. They use their GPS device to determine their elevation every 15 minutes. At 15 minutes and 30 minutes they were at elevations of 10,300 and 10,900 feet, respectively. Write an equation expressing their elevation in relation to time.
Answers
Answer:
[tex]h=40t+9700[/tex]
where the elevation, h, is in feet and time, t, is in minutes.
Step-by-step explanation:
At the time, [tex]t_1=15[/tex] min, the elevation, [tex]h_1= 10,300[/tex] feet and
at the time [tex]t_2= 30[/tex] min, the elevation, [tex]h_2=10,900[/tex] feet.
As they are hiking a steady incline, so the change in the elevation with respect to time will be constant.
So, there will be a linear relationship between the elevation and the time.
Let [tex]h[/tex] be the elevation at any time instant [tex]t[/tex], so the linear relation among these quantities is
[tex]h=mt+C_0\;\cdots(i)[/tex]
where [tex]m[/tex] is the rate of change of elevation with respect to time and [tex]C_0[/tex] is constant.
The change in the elevation, [tex]\Delta h=h_2-h_1= 10,900-10,300=600[/tex] feet.
and the change in time, [tex]\Delta t=t_2-1_1=30-15=15[/tex] min.
So, change in the elevation in unit time,
[tex]m=\frac{\Delat h}{\Delta t}=\frac{600}{15}=40[/tex] feet/min.
Now, from equation (i)
[tex]h=40t+C_0[/tex]
As the elevation, [tex]h=h_1[/tex] at time [tex]t=t_1[/tex], so
[tex]10,300=40\times15+C_0[/tex]
[tex]\Rightarrow C_0=9700[/tex]
Hence, the required equation is
[tex]h=40t+9700[/tex]
where the elevation, [tex]h[/tex], is in feet and time, [tex]t[/tex], is in minutes.
