Answer:
[tex]f^\prime(x)=-2|x-1|-3[/tex]
Step-by-step explanation:
Write the equation for f(x)=IxI but vertically stretch it by a factor of 2, flip it over the x axis, shift it down 3 units, shift it 1 unit to the right
We have the (parent absolute value) function:
[tex]f(x)=|x|[/tex]
And we want to write a new function which represents the previous function: 1) Vertically stretched by a factor of 2, 2) flipped over the x-axis, 3) shifted down 3 units, and 4) shifted 1 unit to the right.
1)
To vertically stretch/compress a function, we multiply the function by a constant a.
If a is greater than 1, it is a vertical stretch. If a is less than 1 (and greater than 0), it is a vertical compression.We want to vertically stretch our function by 2. So, we will multiply our function by 2. Therefore:
[tex]f^\prime(x)=2|x|[/tex]
2)
We want to flip the function over the x-axis.
To flip a function over either axis:
Multiply by negative 1 to flip the function over the x-axis.Substitute x for -x to flip the function over the y-axis.Since we want to flip our function over the x-axis, we will multiply it by -1. So:
[tex]f^\prime(x)=-2|x|[/tex]
3)
We want to shift our function down by 3 units.
To shift a function vertically, we simply add the vertical shift to our function.
Since we are shifting downwards by 3 units, we will add -3 to our function. So:
[tex]f^\prime(x)=-2|x|-3[/tex]
4)
Finally, we want to shift our function 1 unit to the right.
To shift a function horizontally, we replace the x with (x-n), where n is the horizontal shift.
Since we are shifting our function to the right, n=1. Therefore, we will replace x with (x-1). So, our function becomes:
[tex]f^\prime(x)=-2|x-1|-3[/tex]
And we have our final function.
Note: In general, try doing the vertical/horizontal stretches first, x/y-axis reflections second, and then vertical/horizontal shifts last to avoid mistakes.
Solve -17 = x/-3 for x. x =
Answer:
x equals 51
Step-by-step explanation:
1. Do the inverse operation of x/-3 which is multipulcation.
2. Multiply -17 by -3 to get the answer of 51.
Finish the equation by saying that x = 51, or 51 = x.
Answer:
X=51
Step-by-step explanation:
You would have to multiply 17 by 3.
10x3=30
7x3=21
then you add 30 and 21 which equals 51
help me please with my algebra
Answer:
y - 3 = -3 ( x - 7 )
Step-by-step explanation:
→ It is true for all values as you substitute in the x value and get the y as the output
While hiking, Diego drank 2¼ liters of water. Lin drank 1⅗ liters of water. How much more did Diego drink than Lin?
Answer: 13/20
Step-by-step explanation:2 1/4 - 1 3/5 = 13/20
Answer:
13/20
Step-by-step explanation:
What is 19 divided by 20 using long division & decimals?
Answer:
0.95
(Don't have paper, because I accidentally threw away paper )
A golf ball is hit with an initial velocity of 80 ft/sec.Use the equation h(t)=80t-16t^2 where h(t) is the height of the object in feet and t is the time in seconds. How long will it take for the ball to hit the ground?
Answer:
The ball takes 5 seconds to hit the ground
Step-by-step explanation:
The equation to model the height of a golf ball in time t is:
[tex]h(t)=80t-16t^2[/tex]
There are two moments when the height is zero: At launch time and when it hits the ground. To find the last time, we equate:
[tex]80t-16t^2=0[/tex]
Factoring out t:
[tex]t(80-16t)=0[/tex]
It gives us two solutions:
t=0
[tex]80-16t=0[/tex]
Solving:
[tex]-16t=-80[/tex]
[tex]t=-80/(-16)=5[/tex]
t = 5 sec
Thus, the ball takes 5 seconds to hit the ground
Find the unit price of 8 mugs for $38.32. (Note: unit price is the price of 1 item. In this example, unit price means the price of 1 mug)
Answer:
$4.79 a piece
Step-by-step explanation:
38.32/8=
Answer:
$4.79
Step-by-step explanation:
$38.32 divided by 8 = $4.79
A block of cheese has a volume of 189 cm3 and a mass of 150 g.
What is the density of the cheese in g/cm3 rounded to 2 decimal places?
ill do u brainlist who ever answers first
5(x-4)=15
find out what x is
Answer:
7
Step-by-step explanation:
7-4=3
5×3=15
plz mark brainliest
Answer:
x=7
Step-by-step explanation:
-5*(x-4)-(-15)=0
(0 - 5 • (x - 4)) - -15 = 0
35 - 5x = -5 • (x - 7)
-5 • (x - 7) = 0
Solve : x-7 = 0
Add 7 to both sides of the equation :
x = 7
Pls help its urgent im so confused and my brain feels like its burning from all the useless thinking I've done on this one question..
It says, "Simplify the Expression. Assume x is a non zero. Your answer should only have positive exponents"
Expression: x^-10×x^6
Answer:
Step-by-step explanation:
1/(x^4) or x^-4
Answer:
[tex]\frac{1}{x^{4}}[/tex]; x ≠ 0
Or if thats wrong, just put 1/x^4
Step-by-step explanation:
Okay so heres how we solve this
Rewrite:
The "x is a non zero" is a very poorly written exception so I completely understand if you started racking your brain over that
[tex]x^{-10}*x^6[/tex] ; x ≠ 0
Note; you can ignore the expression until you write the simplified answer.
1 - Multiply using rules of exponents
[tex]x^{-10} * x^6 = x^{(-10~+~6)} = x^{-4}[/tex]
2 - Get rid of the negative exponent by using rules of exponents
[tex]x^{-4} = \frac{1}{x^4}[/tex]
3 - Rewrite with it being simplified
1/(x^4); x ≠ 0
Determine how (if possible) the triangles can be proved similar.
Answer:
opposite sides are congruent and parrallel
Step-by-step explanation:
im pretty sure im correct because i learned this in 10th grade for Algebra
Answer:
SAS Similarity
hope this helps<3
plssss help me ASAPPPPO
Answer:
x= 20........…….......
5, 18, 6, 18, 13 WHATS THE MEAN ABSOLUTE DEVIATION??
Answer:
5
Step-by-step explanation:
Need Answer ASAP ONLY 5 min.
Answer:
b is your answer hope it helps
My book is 79 pages. I have been reading 10 pages each day. There are 9 pages left to read. How many days have I been reading the book? Draw a model to show your thinking. Justify your answer.
Answer:
7 days
Step-by-step explanation:
If there are 9 pages left, that means you have already read 70 pages.
Since you read 10 pages a day, we can find how many days you have been reading the book by dividing 70 by 10:
70/10
= 7
This means you have been reading the book for 7 days
Answer:
7 days
Step-by-step explanation:
With 9 pages left take 79-9 to get 70 pages.
70 pages at 10 pages a day is 70/10 and you get 7 or 7 days.
Hansika paid $9.25 for 2.8 pounds of pretzels. About how much did she pay for a pound of pretzels? ( Round your answer to the nearest whole number )
Answer:
$3
Step-by-step explanation:
$9.25/2.8
= $3.3035714285
= $3 (rounded to the nearest whole number)
Hope this helped!
25 pts
At birth, a puppy weighed 14 lbs. At one years old, the puppy weighs 35 times its birth weight. How much does the puppy
weigh now?
Answer:
490lbs.
Step-by-step explanation:
Answer:
490 lbs
Step-by-step explanation:
times means multiplication, so 35 times means 14 rows of 35 (and vice versa).
14 x 35
490
(Check the attached file for a full count)
For f(x) = 4x +1 and g(x) = x2 - 5, find (g/f) (x).
Answer:
[tex]\left(g/f\right)\left(x\right)=\frac{x}{4}-\frac{1}{16}-\frac{79}{16\left(4x+1\right)}[/tex]
Step-by-step explanation:
[tex]f(x)=4x+1[/tex]
[tex]g\left(x\right)=x^2\:-\:5[/tex]
As
(g/f)(x) = g(x) / f(x)
[tex]=\:\frac{x^2\:-\:5}{4x+1}\:\:\:\:\:\:[/tex]
[tex]=\frac{x}{4}+\frac{-\frac{x}{4}-5}{4x+1}[/tex]
[tex]=\frac{x}{4}-\frac{1}{16}+\frac{-\frac{79}{16}}{4x+1}[/tex]
[tex]=\frac{x}{4}-\frac{1}{16}-\frac{79}{16\left(4x+1\right)}[/tex]
Therefore,
[tex]\left(g/f\right)\left(x\right)=\frac{x}{4}-\frac{1}{16}-\frac{79}{16\left(4x+1\right)}[/tex]
Can somebody answer this?
Answer:
$0.84
Step-by-step explanation:
A rectangle has an area of 35 3 5 meter and a width of 78 7 8 meter. What is its length? 35×78 3 5 × 7 8 Yes No B Greg wants to divide a 712 7 12 of a yard length of ribbon into pieces that are 14 1 4 of a yard long. How many pieces can he make? How many pieces can he make? 14×712 1 4 × 7 12 Yes No C Olivia has 23 2 3 of an hour to write thank you notes. It takes her 112 1 12 of an hour per thank you note. How many can she write? 23×121 2 3 × 12 1 Yes No D A recipe requires 13 1 3 of a cup of nuts. Jim has 14 1 4 of a cup of nuts. How much of the recipe can he make? 14×31 1 4 × 3 1 Yes No Please double-check all your answers before continuing. You will need to enter them all again if any are incorrect.
Question is not very clear, however answers will reflect numbers seen(with some assumptions since some questions are not entirely complete)
Answer and explanation:
1. If a rectangle has an area of 35 meters and width of 78 meters, what is the length
Given that area of rectangle is length *width
Let's call length x
We have the equation
78*x=35
78x=35/78
x= 0.449
Therefore length =0.449 meters
2. Greg wants to divide a 712 yard long ribbon into pieces of 14 yard long each.
How many pieces can he make?
Let's assume the ribbon is a square then it's area is 712*712= 506944
To find number of 14 yard long pieces from the 712 yard long ribbon, we first find area for 14 yard long ribbons= 14*14= 196
number of 14 yard long pieces from the 712 yard long ribbon= 506944/196
= 2586.449 pieces
3. Olivia has 23 minutes an hour to write thank you notes. It takes her 12 minutes of an hour per thank you note. How many can she write?
Since it takes Olivia 12 minutes to write thank you notes but she has 23 minutes to write one, in one hour(1 hour =60minutes) she would be able to write
60 minutes /12 minutes = 5 thank you notes instead of
60 minutes /23 minutes= 2.609 or 2 thank you notes
4. Jim has 14 cups of nuts. How much of the recipe can he make?
If recipe requires 7 cups of nuts for instance, Jim would be able to make 14/7 = 2 of the recipe
Find the 74th term of the arithmetic sequence 19,26,33
Teresa feeds her dog 1/3 can of dog food each day. How many days can Teresa feed her dog with 5 cans of food?
Four times the sum of x and 5
Answer:
4x+20
Step-by-step explanation:
Responder:
4x + 20
Explicación paso a paso:
Espero q te aya ayudado
4x + 1 = 2x-5 helppppppppppppp hurryyyyyyyy
Answer:
x = -3
Step-by-step explanation:
Hope this helped!
Question is in image
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]y = - \frac{1}{4} x + 4 \\ [/tex]
Multiply sides by 4
[tex]4 \times y = 4 \times ( - \frac{1}{4} x + 4) \\ [/tex]
[tex]4y = 4 \times ( - \frac{1}{4} x) + 4 \times 4 \\ [/tex]
[tex]4y = - x + 16[/tex]
Add sides x
[tex] + x + 4y = + x - x + 16[/tex]
[tex]x + 4y = 16[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The correct answer is (( C )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Prisha rolls a fair number cube multiple times and records the result of each roll. Her results are shown in the table. Number Cube Number Observed Frequency 1 18 2 16 3 24 4 26 5 16 6 20 How does the experimental probability of rolling a 3 compare with the theoretical probability of rolling a 3?
Answer:
A
Step-by-step explanation:
I just took this on edge
You start hiking at an elevation that is 550 meters below sea level. You increase your elevation by 45 meters. What is the new elevation? Write an addition expression and solve
Answer:505 meters
Step-by-step explanation: 550-45=505
The gross domestic product (GDP) of France is about $2.00 × 10 12 12 , and the GDP of Tuvalu is about $4.00 × 10 7 7 . How many times larger is the GDP of France than the GDP of Tuvalu?
Answer:
France's GDP is 50 000 times larger than Tuvalu's GDP.
Step-by-step explanation:
Given: Gross Domestic Product (GDP) of France = $2.0 x [tex]10^{12}[/tex]
Gross Domestic Product (GDP) of Tuvalu = $4.0 x [tex]10^{7}[/tex]
To determine the number of times in which the GDP of France is greater than that of Tuvalu, divide the GDP of France by the GDP of Tuvalu.
[tex]\frac{2.0*10^{12} }{4.0*10^{7} }[/tex] = [tex]\frac{2000000000000}{40000000}[/tex]
= [tex]\frac{200000}{4}[/tex]
= 50000
Therefore, France's GDP is 50 000 times larger than Tuvalu's GDP.
Can someone help me out with this please!
What is the domain and range of the function: y= 10(4) + 100
Domain: ____
Range: ____
1. Use pictures or words to
describe a combination of
coins you could use to make
$3.85?
Pls help and it’s Canadian money
Answer:
Step-by-step explanation:
Good thing you said it was Canadian Money. Pennies are gone and loonies and toonies are used.
1 Toonie = $2.00
1 Loonie = $1.00
3 quarters= .75
2 dime .10
3.85
Order the numbers from least to greatest 5/9, 7/12, 3/4, 13/18
Answer:
5/9 , 7/12 , 13/18 , 3/4
Step-by-step explanation:
give brainliest pls