Answer:
[tex]f"'(x) = 2(x-4)^2 - 1[/tex]
Step-by-step explanation:
Given
[tex]f(x) = x^2[/tex] --- the quadratic function
Vertically stretched by 2
Translation: [tex]4\ units[/tex] left and [tex]1\ unit[/tex] down
Required
Determine the new function
[tex]f(x) = x^2[/tex]
The rule for vertical stretch is:
[tex](x,y) \to (x,ay)[/tex]
In this case:
[tex]a = 2[/tex]
So, we have:
[tex]f(x) = x^2[/tex]
[tex]f'(x) = a * f(x)[/tex]
[tex]f'(x) = a * x^2[/tex]
Substitute: [tex]a = 2[/tex]
[tex]f'(x) = 2 * x^2[/tex]
[tex]f'(x) =2x^2[/tex]
Translation: 4 units left
The rule is:
[tex](x,y) \to (x - c,y)[/tex]
In this case: [tex]c =4[/tex]
So, we have:
[tex]f"(x) = 2(x - 4)^2[/tex]
Translation: 1 unit down
The rule is:
[tex](x,y) \to (x,y-d)[/tex]
In this case, [tex]d=1[/tex]
So, we have:
[tex]f"'(x) = f"(x) - 1[/tex]
[tex]f"'(x) = 2(x-4)^2 - 1[/tex]
At the grocery store, Henry bought c pounds of cashews for $4.99 per pound. If he buys 2 pounds, how much will they cost?
The cost of 2 pounds of cashews will be;
⇒ $9.98
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
At the grocery store,
Henry bought c pounds of cashews for $4.99 per pound.
Now,
Since, Henry bought c pounds of cashews for $4.99 per pound.
Hence, The cost of 1 pound of cashews = $4.99
So, The cost of 2 pounds of cashews = 2 × $4.99
= $9.98
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ5
The PS4 cost $650 when it first came out. Two years later it was only worth $250. By what percentage did the price decrease?
Answer:
It decreased by 61.5%
Step-by-step explanation:
Tamia uses 9.9 pints of white paint and blue paint to paint her bedroom walls. 1/4 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?
Answer:
7.425 pints
Step-by-step explanation:
Given that Tamia uses white and blue paint and 1/4 of the amount is white paint then the fraction of blue paint
= 1 - 1/4
= 3/4
Given that the total quantity of paints is 9.9 pints, the number of blue pints used to paint her bedroom walls
= 3/4 * 9.9
= 29.7/4
= 7.425 pints
The equation of a function changed from y=x+6 to y = -x+6which statement best describes the change in the graph of the function
Answer:
6+
Step-by-step explanation:
Molly's family traveled 5/8 of the distance to her uncle's house on Saturday. They traveled 1/3 of the remaining distance on Sunday. What fraction of the total distance to her uncle's house was traveled on Sunday?
Answer: [tex]\dfrac{1}{8}[/tex]
Step-by-step explanation:
Given
On Saturday, Molly's family traveled [tex]\frac{5}{8}[/tex] of the total distance
On Sunday, they traveled one-third of the remaining distance.
Suppose the total distance is x
Distance traveled on Saturday is [tex]\dfrac{5x}{8}[/tex]
Remaining distance is
[tex]x-\dfrac{5x}{8}=\dfrac{3x}{8}[/tex]
On Sunday, they travel
[tex]\dfrac{1}{3}\times \dfrac{3x}{8}=\dfrac{x}{8}[/tex]
fraction of total distance traveled on Sunday is [tex]\dfrac{1}{8}[/tex]
Richard saves money by investing 5% of his salary in his individual retirement account. Which of the following best describes how his investment will grow over the next 30 years?
⊝ His investment will most likely be worth very little more than he invested in deposits over the 30 years.
⊝ His investment will most likely be worth exactly what he deposited over the 30 years.
⊝ His investment will most likely be worth a lot more than he invested in deposits over the 30 years.
⊝ His investment will most likely be worth less than he invested in deposits over the 30 years.
answer:
Answer is c this was difficult
I NEED HELP ASAP PLEASE!! I WILL AWARD BRAINLIEST
NO LINKS PLEASE AND NO WEIRD ANSWERS PLEASE I HAVE A TEST TOMMAROW
DO AS MANY AS YOU WANT
I AWARD BRAINLIEST
9514 1404 393
Answer:
x ≥ 754 -6my -xStep-by-step explanation:
You have to realize that the absolute value function will change the sign of its argument only if that argument is negative.
108. |x -7| = x -7 . . . . . true for x-7≥0
x ≥ 7 . . . . makes the statement true
__
1a. When m < 9, the value 6m is less than 54, so 6m-54 < 0. That means the absolute value function changes the sign of its argument:
54 -6m . . . . . simplified form for m < 9
__
1b. |y -x| = y -x . . . when y > x, the argument of the absolute value is positive
Abe makes $18.50 per hour. He works 40 hours a week. He is considering renting an apartment that will cost $1,500 per month. What is the difference between his recommended rent amount and the cost of this apartment (round to the nearest dollar)?
Answer:
os(390) sin(330) csc(60)
Step-by-step explanation:
волаооыововыл? фвдвфдаг.
(\_/)
( •_•)
/ >(\_/)
( •_•)
/ >(\_/)
( •_•)
/ >(\_/)
( •_•)
/ >
Answer:
＼(◎o◎)／
♪～(´ε｀ ) ╮(. ❛ ᴗ ❛.)╭
enter the decimal equivalent of 11/8
Answer:
1.375
Step-by-step explanation:
Answer:
1.375 would be the answer because if you turn 3/8 into a decimal it = 0.375 so you add the 1 + 0.375 = 1.375 total
Step-by-step explanation:
1/2 (65+75) = ??????? solve
Answer:
70
Step-by-step explanation:
First solve the parenthesis 65 + 75= 140
The find half of 140--->70
Answer:
70
Step-by-step explanation:
1 / 2 ( 65 + 75 )
= 1 / 2 ( 140 )
= 140 / 2
= 70
Laney bought a cup of coffee and two cookies at her local coffee shop. The coffee cost $1.89. She got $1.23 back as change from the $5.00 bill she gave the cashier. How much did each cookie cost?
Answer: each cookie was $0.94
Step-by-step explanation:
5.00 - 1.89 = 3.11
3.11 - 1.23 = 1.88
1.88 divided by 2 = 0.94
What is the area?
9 yd
7 yd
It is 63 yards squared (63yd^2)
Step-by-step explanation:
9 x 7 = 63
Answer:63
Step-by-step explanation:
Area=LxW
Can y’all put this from greatest to least?
-0.3
3
-0.9
2.91
-1.01
3, 2.91, -0.3, -0.9, -1.01,
Ana can eat 15 hamburgers in 3 minutes. How many hamburgers can she eat in one minute?
(2 points)
A.Ana can eat 50 hamburgers in one minute.
B.Ana can eat 3 hamburgers in one minute.
C.Ana can eat 5 hamburgers in one minute.
Answer:
C Ana can eat 5 hamburgers in one minute
Step-by-step explanation:
A is wrong you can tell B if you eat 3 burgers in one minute then you eat another 3 thats only 6 then for the three minutes she eats 9 so C is correct
Please help best gets brainlist and 5/5 and show work please
The theoretical probability of spinning a 9 is_?
Answer:
The theoretical probability of spinning a sum of 9 is 4/36 or 1/9.
Step-by-step explanation:
Answer: 0%
Step-by-step explanation:
and
Simplify.
13²
pls fast
Answer:
169
Step-by-step explanation:
13^2 is equal to 169.
13x13=169
Can Someone Help me, pls?
Answer:
6.25 <7
Step-by-step explanation:
Answer:
(1) [tex]x\leq 4[/tex]
(2) [tex]x\geq 4[/tex]
Step-by-step explanation:
[tex]\frac{1}{4}x + 6\leq 7\\(4) \frac{1}{4}x + 6\leq 7(4)\\x+24\leq 28\\ - 24 -24\\x\leq 4[/tex] [tex]-5x-24\leq -44\\+24 +24\\-5x\leq -20\\\frac{-5x\leq -20}{-5} \\x\geq 4[/tex]
Solve the compound inequality and give your answer in interval notation
4x-4 < -36 OR -2x-1 ≤ -7
Answer:
(-∞, -8) U [3, ∞)
Step-by-step explanation:
4x - 4 < -36 OR -2x -1 ≤ -7
4x < -32 OR -2x ≤ -6
x < -8 OR x ≥ 3 *divide by a negative, switch inequality
(-∞, -8) U [3, ∞)
One pair of parallel sides proves a quadrilateral to be a parallelogram
True
False
How many cubic feet of water are in the pool?
Answer:
It depends on the size of the
Step-by-step explanation:
Like the width ,length and all that
give me the size of the pool and will assist
I need help please help me
Answer:
1: 11/14 2: 1 5/12 3: 1 1/20 4: 7/10 5: 3/4 6: 1 2/9 7: 1 8: 1/8 9: 3/5 10: 23/24
A triangular pyramid is formed from three right triangles as shown below.
Use the information given in the figure to find the length BD.
If applicable, round your answer to the nearest whole number.
The lengths on the figure are not drawn accurately.
ΔADC is a right angle triangle, we will use the Pythagorus Theorem to find the length CD.
Formula of the Pythagorus Theorem :
⇒ a² + b² = c²
⇒ AD² + CD² = AC²
The value of AD is 54 and the value of AC is 90:
54² + CD² = 90²
Solve for CD:
54² + CD² = 90²
CD² = 90² - 54²
CD² = 5184
CD = √5184
CD = 72
ΔADC is also a right angle triangle, we will use the Pythagorus Theorem to find the length BD.
Formula of the Pythagorus Theorem :
⇒ a² + b² = c²
⇒ BD² + CD² = BC²
The value of CD is 72 and the value of BC is 97:
BD² + 72² = 97²
Solve for BD:
BD² = 97² - 72²
BD² = 4225
BD = √4225
BD = 65
Answer: The length of BD is 65 units.
Matthew wants to purchase a new couch, but he does not have enough money in his bank account to pay for one.
Which of these is not an option for Matthew?
He can save money and write a check once there is enough money in his account.
He can use his debit card to purchase the couch now.
He can use his credit card to purchase the couch now.
He can save money and pay cash once he has enough.
Answer:
He can use his debit card to purchase the couch now.
Step-by-step explanation:
4x - 35 = 234
Solve for 'x'.
Answer:
X= 67.25
Step-by-step explanation:
4x-35=234
Add 35 to both sides
4x= 269
Divide both sides by 4
X= 67.25
Answer:
x = 67,25
Step-by-step explanation:
Here it is given that,
x is an unknown to know. Since we are intelligent students, we will bring the unknowns to the left limb, and the numbers known in the right limb.[tex]\:[/tex]
We can write this matematically as,
[tex]\rightarrow 4x - 35 =234[/tex]
Move the constant to the right,
[tex]\rightarrow 4x =234 + 35[/tex]
Add the numbers,
[tex]\rightarrow 4x =269[/tex]
Divide both sides of the equation by 4,
[tex]\rightarrow x =\frac{269}{4}[/tex]
We determine the value of x,
[tex]\rightarrow \underline {x=67,25}[/tex]
Please help with question please please
Answer:
B. 55+70<750
Step-by-step explanation:
pls do with the working
Answer:
2) 70,000
Step-by-step explanation:
since they have said estimate meaning frist round off
679 rounds up to 700 and 98 rounds up to 100
700×100
70000
A new espresso coffee maker is being used at the coffee shop where you work. It heats water to 122°F in a matter of seconds. What is the equivalent
Celsius reading of this temperature?
Answer:
50°C
Step-by-step explanation:
(122°F − 32) × 5/9 = 50°C
Amiera has 3/4 of a bag of cat food. Her cat eats 1/10 of a bag per week. How many weeks will the food last?
Answer:
Step-by-step explanation: lets say the fod is chicken 3/4 is 75 out of 100 1/10 out of 100 is 10 lets see how many times we can take 10 out of 75 .
you can do it 7 time because 7 rimes 10 is 70 meaning that you have 7 weeks
and half a week hope this helps B)