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
The height of each story of an office building is 9 3/4 feet. The height is measured from the ceiling to the floor. The building has three underground levels for parking. A car is parked two levels below ground. At what elevation are the car’s tires relative to the ground level? Assume the ground level is at zero feet.
A) -19 1/2 feet
B) -12 feet
C) 8 feet
D) 19 1/2 feet
please explane how??
Answers
Answer:
The correct answer is A) -19 1/2
Step-by-step explanation:
Si x² + 5x - 6 = 0 entonces los valores de x que satisfacen la ecuación son: / If x² + 5x - 6 = 0 then the values of x that satisfy the equation are:
a) 0,6
b) 6,-1
c) 3,2
d) -6,1
e) -3,-2
Answers
. . . . . . .
What’s planck length to the 8 power?
Answers
Select all ordered pairs that satisfy the function
(-3, -1)
(-2, -1)
0 (
33)
Answers
2x+y=9 let x=3 what is y
Answers
Answer:
3
Step-by-step explanation:
Step 1:
2x + y = 9 Equation
Step 2:
2 ( 3 ) + y = 9 Input x
Step 3:
6 + y = 9 Multiply
Step 4:
y = 9 - 6 Subtract 6 on both sides
Answer:
y = 3
Hope This Helps :)
What is a possible step when solving for x? Select all that apply.
512x+23x=37
A. x = 37
B. x = 6
C. 37x = 6
D. 376x=37
E. 112x+23x=37
Answers
Using operations with fractions, it is found that the possible steps are:
B. [tex]x = 6[/tex].D. [tex]\frac{37x}{6} = 37[/tex]E. [tex]\frac{11}{2}x + \frac{2}{3}x = 37[/tex]The equation given is:
[tex]5\frac{1}{2}x + \frac{2}{3}x = 37[/tex]
The improper fraction can be written as:
[tex]5\frac{1}{2} = \frac{5\times 1 + 2}{2} = \frac{11}{2}[/tex]
Then:
[tex]\frac{11}{2}x + \frac{2}{3}x = 37[/tex]
Applying the least common multiple:
[tex]\frac{33x + 4x}{6} = 37[/tex]
[tex]\frac{37x}{6} = 37[/tex]
[tex]37x = 37 \times 6[/tex]
[tex]x = \frac{37 \times 6}{37}[/tex]
[tex]x = 6[/tex]
Hence, options B, D and E are correct.
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It’s all log base 10
I need help with all of them
Answers
Answer:
im not very sure what you marked off i cant really tell what it is in the middle of them
What is the decimal value of 1/4?
Answers
Answer:
0.25
Step-by-step explanation:
Some $1.50 per oz spice and some $2.50 per oz are mixed to produce 20 oz of a mixture worth 1.90 per oz. How many oz of each should be used
Answers
Answer:
3 ounces of the seed and 7 ounces of the dried fruit.
Step-by-step explanation:
Your generation will likely be most affected by these changes. Active or passive? HELP NEEDED ASAP WILL GIVE BRAINLIEST
Answers
Answer:
Passive
Step-by-step explanation:
Active voice means that a sentence has a subject that acts upon its verb. Passive voice means that a subject is a recipient of a verb's action.
Find the accumulated value of an investment of $5,000 at 4.25% compounded monthly for 8 years. Round your answer
Answers
Answer:
$20,400.00
Step-by-step explanation:
so, they're paying 4.25% of $5,000 every month for 8 years.
well, first lets see how many payments were made.
8 x 12 = 96 payments
4.25% of 5,000 is 212.5
so 96 payments of $212.5 is...
$20,400.00
dang, that's a lot of money.
1. The length of a
rectangle is three inches more than its width. It's area is 130 in^2. Find the width and length of the triangle.
Answers
Answer:
Length= 13in
Width= 10 in
Step-by-step explanation:
Let x=length
Let y=width
x=3+y
xy=130in^2
(3+y)y=130in^2
3y+y^2=130in^2
y^2+3y-130=0
y=10
x=3+10
x=13
An expression is shown.
0.0082
Write an equivalent expression in scientific notation.
X 10
Answers
Answer:
8.2 × 10-3
Step-by-step explanation:
Uh I don't know the step by step but I know the exponent is a negative because the 0's are on the left and if they are on the right it is not negative.
HOPE THIS HELPS
15 POINTS!
What is the correct answer for Dean's problem? Explain where he went wrong.
Answers
Answer:
The slope is 5/-2.
Step-by-step explanation:
Slope is y1-y2 over m1-m2 (rise over run). The first ordered pair is -2 (m1) and 11 (y1). We then subtract the second ordered pair (4 (m2) and -4 (y2)) from the first.
11 - (-4) = 11 + 4 = 15
-2 - 4 = -6
Remember, slope is rise over run (y over x), so the slope is 15/-6. Now, we must simplify. 15/-6 = 5/-2
Dean went wrong because he thought that slope was run over rise (x over y). If he had switched the two numbers, his answer would have been correct.
What kind of number does distance always represent?
Answers
Answer:
Step-by-step explanation:There are other kinds of numbers that can be graphed on the number line, too. ... which are natural numbers and which are whole numbers is to think of a “hole,” which can be represented by 0. ... Notice that distance is always positive or 0.
A=1/2bh for h
Need help
Answers
Answer:
2A/b = h
Step-by-step explanation:
A=1/2bh
Multiply each side by 2
2A = 2 * 1/2 bh
2A = bh
Divide each side by b
2A/b = bh/b
2A/b = h
Currently, there are 65 members in the school computer dub. The club is gaining 12 members per year. How long will take for the dub to have at least 113
membrs?
Answers
Answer:
4 years
Step-by-step explanation:
65+12x= 113
12x=113-65
x = 48/12=4
Buzz and Jessie are missing each other and their friend Woody. They want to meet at Woody's house which is halfway between their apartments. The distance from Buzz's apartment to Woody s house is (5x + 4) miles, while Jessie's apartment is (15x + 30) miles. How far apart do Jessie & Buzz live from each other?
Answers
Answer:10x + 26
Step-by-step explanation:
The following set of coordinates represents which figure?
(1, 1), (5,3). (7,7), (3, 5)
A)parallelogram
B)Rectangle
C)rhombus
D)Square
Answers
a polynomial function with leading term 8x ^9 has a degree of what?
Answers
Answer:
9
Step-by-step explanation:
hi! if the leading term is 8x^9, this means that this is the term with the highest power. therefore, its degree is 9.
The degree of the given polynomial is 9
What is a polynomial expression?Polynomial is made up of two terms, namely Poly (meaning “many”) and Nominal (meaning “terms.”). A polynomial is an expression composed of variables, constants, and exponents, combined using mathematical operations such as addition, subtraction, multiplication, and division (No division operation by a variable). Based on the number of terms present in the expression, it is classified as monomial, binomial, and trinomial. For example P(x) = x2-5x+11
Given here; a polynomial function with leading term 8x⁹
Now The Degree of a Polynomial is the largest of the degrees of the individual terms. The degree of an individual term of a polynomial is the exponent of its variable and the highest degree of the terms given in the expression is the degree. And thus the expression with leading term 8x⁹ is 9
Hence, The degree of the given polynomial is 9
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Which table below represents a non-proportional relationship and why?
Answers
Answer:
A. B. C. D
(y = -10x) (y = 2.5x - 7) (y = 7/8x + 1) (y = 1.2x)
E.
(y = -5x - 8)
Step-by-step explanation:
Box #1. Is going with B
Box #2. Is going with E
Box #3. Is going with D
Box #4. Is going with A
Box #5. Is going with C
Hope this helps :)
Help please with question 5-8, show the solution
Answers
For each of these problems, remember SOH-CAH-TOA.
Sine = opposite/hypotenuse
Cosine = adjacent/hypotenuse
Tangent = opposite/adjacent
5) Here we are looking for the cosine of the 30 degree angle. Cosine uses the adjacent side to the angle over the hypotenuse. Therefore, cos(30) = 43/50.
6) We have an unknown side length, of which is adjacent to 22 degrees, and the length of the hypotenuse. Since we know the adjacent side and the hypotenuse, we should use Cosine. Therefore, our equation to find the missing side length is cos(22) = x / 15.
7) When finding an angle, we always use the inverse of the trigonometry function we originally used. Therefore, if sin(A) = 12/15, then the inverse of that would be sin^-1 (12/15) = A.
8) We are again using an inverse trigonometry function here. We know the hypotenuse, as well as the side adjacent to the angle. Therefore, we should use the inverse cosine function. Using the inverse cosine function gives us cos^-1 (9/13) = 46 degrees.
Hope this helps!
Choose the definition of the function
Answers
explanation
Answer:
answer is A
Step-by-step explanation:
50 POINTS
Help me plzz i need help with this it is due tomorrow
Answers
Answer:
5 cups
Step-by-step explanation:
hi! to find the sum of the soup mix, we have to add all the fractions together.
7/4 + 1/2 + 5/3 + 1/3 +1/4 + 1/2
we have to find a common denominator for each, which is the LCM of the denominators. this would be 12. let's change the fractions so we can add them up.
21/12 + 6/12 + 20/12 + 4/12 + 3/12 + 6/12
add the numerators and keep the denominators the same.
(21+6+20+4+3+6)/12
60/12
this simplifies to 5.
the total amount of soup mix is 5 cups.
Answer:
5 cups of soup mix
Step-by-step explanation:
Make all the denominators equal. The lowest common denominator is 12 so multiple the denominators with 4 by 3, 2 by 6, and 3 by 4.
[tex]\frac{7}{4} *3=\frac{21}{12}[/tex]
[tex]\frac{1}{2} *6=\frac{6}{12}[/tex]
[tex]\frac{5}{3} *4=\frac{20}{12}[/tex]
[tex]\frac{1}{3} *4=\frac{4}{12}[/tex]
[tex]\frac{1}{4} *3=\frac{3}{12}[/tex]
[tex]\frac{1}{2} *6=\frac{6}{12}[/tex]
Now that all the fractions have the same denominator you can add them all together.
[tex]\frac{21}{12} +\frac{6}{12} +\frac{20}{12} +\frac{4}{12} +\frac{3}{12} +\frac{6}{12}=\frac{60}{12}[/tex]
Then simplify the fraction to find out how many total cups of soup mix you have.
[tex]\frac{60}{12} =5[/tex]
5 cups of soup mix
This is a one step equation
Answers
Answer:
x = -23
Step-by-step explanation:
1st we can isolate x to get it by its self. so we have to subtract 8 on both sides. so now we get
x = -23
Brainiest would be appreciated
High Hopes^^
Barry-
slop intercept form of: y-5=2(x+2)
Answers
Answer: y= 2x+9
have a good day!
if ribbon candy costs 2.50 per foot. How many feet can you buy if u have 11.25
Answers
A student works for 80 hours each month and plans to work for 5 hours each day, but only on days when scheduled to work. The function / (d) - 80 -- 5d represents the number of
hours of work remaining for the month after working for d days.
Which statement is true?
A. The value of (4) is 20, and it represents the number of hours of work remaining for the month after working for 4 days.
B. The value of ? (4) is 20, and it represents the number of hours spent working over 4 days
C. The value of }(4) is 60, and it represents the number of hours of work remaining for the month after working for 4 days
D. The value of (4) is 60, and it represents the number of hours spent working over 4 days.
**pls help ASAP taking a test .
Answers
Answer:
C. The value of f (4) is 60, and it represents the number of hours of work remaining for the month after working for 4 days
Step-by-step explanation:
So 5 time 4 equals 20...!
80 minus 20= 60
The value of f (4) is 60, and it represents the number of hours of work remaining for the month after working for 4 days, which is the correct answer would be option (C).
What is a numerical expression?A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.
A student works 80 hours per month and plans to work 5 hours each day, but only on days when work is planned. After working for d days, the function / (d) - 80 — 5d shows the number of hours of work remaining for the month.
⇒ f (d) = 80 - 5d ....(i)
According to option (C),
Substitute the value of d = 4 in equation (i),
⇒ f (4) = 80 - 5(4)
⇒ f (4) = 80 - 20
⇒ f (4) = 60
Thus, the value of f (4) is 60, and it represents the number of hours of work remaining for the month after working for 4 days
Hence, the correct answer would be option (C).
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Please help!!!
3(x – 10) = -9
Answers
Answer:
The answer is x = 7
Step-by-step explanation:
Divide each term by 3 and simplify. Move all terms not containing x to the right side of the equation.
Answer:
[tex]\huge\boxed{x=7}[/tex]
Step-by-step explanation:
In order to solve for x, our goal is to isolate it on one side of the equation. We can do this by reversing the equation.
Let's apply the distributive property on the left side:
[tex](3 \cdot x) + (3 \cdot -10) = -9\\\\3x-30=-9[/tex]
Add 30 to both sides:
[tex]3x - 30 + 30 = -9 + 30\\\\3x = 21[/tex]
Divide both sides by 3:
[tex]3x \div 3 = 21 \div 3\\\\x = 7[/tex]
So x = 7.
Hope this helped!
(Help please and thank you very much.)
If cat food is sold in 20 lb bags, what is the least number of bags of cat food needed for one year at this shelter, if 10 lbs of cat food is consumed per week?
Answers
Answer:
26 weeks!
Step-by-step explanation:
Hello there!
There are 52 weeks in a year, believe it or not! So, if 1 bag of food was 10 lbs, then it would be 1 bag of 10lbs x 52 weeks, so it would be 52 bags. However, we are dealing with 20 lb bags, which will last twice as long as the 10 lb bag! So, if 1 bag will last 2 weeks, and there are 52 weeks in a year, then it is weeks divided by number of weeks it takes to consume 1 bag, 52 divided by 2. 52 divided by 2 is 26.
So in 1 year, the shelter will need 26 bags of 20 lb cat food!
Hope I helped!
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