Answer:
[tex]\boxed{x = 10.28 \%}[/tex]
Step-by-step explanation:
[tex] \frac{(26.75)x}{100} = 2.75 \\ \boxed{x = 10.280373832}[/tex]
What happens to the function f(x)=(x−1)2+1 when it becomes f′(x)=(13x−1)2+1?
It is compressed toward the y-axis.
It is stretched away from the x-axis.
It is compressed toward the x-axis.
It is stretched away from the y-axis.
Option (2). function f will be stretched away from the x-axis to form the image function f'.
Rule for the transformation of a function: For a function is given by,
f(x) = a(x - h)² + k
If a > 1, graph of the function will be stretched vertically (towards
y-axis or away from the x-axis).
If 0 < a < 1, graph of the function will be compressed vertically
(towards x-axis or away from the y-axis)
Function given in the question,
f(x) = (x - 1)² + 1
Transformed function → f'(x) = (13x - 1)² + 1
[tex]f'(x)=13(x-\frac{1}{13})^2+1[/tex]
By applying rule of the transformation,
a = 13 and 13 > 1
Therefore, function will be stretched vertically away from the x-axis.
Hence, Option (2) will be the answer.
Learn more about the transformations here,
https://brainly.com/question/19279703
A car is driving down a long Steep Hill the elevation above sea level in feet of the car when it is D miles from the top of the hill is given by any equals 7500 - 250 D where D can be any number from 0 to 6 find the slope and intercepts of the graph of this function explain what they mean in the context of the moving car
Answer:
This task would be especially well-suited for instructional purposes. Students will benefit from a class discussion about the slope, y-intercept, x-intercept, and implications of the restricted domain for interpreting more precisely what the equation is modeling.
One potential confusion students may have follows from the subtle difference between what the car is doing and the idea of slope as the ratio between the change in vertical distance on the graph and the change in horizontal distance on the graph. Because the car is traveling one mile on a down-hill slope, the situation could be represented as a right triangle with a hypotenuse of 5,280 ft and a leg of 250 ft; using the Pythagorean Theorem they would find that the other leg is approximately 5,274 ft. Following through on this interpretation, a student might conclude that the car travels a horizontal distance of approximately 5,274 ft for every 250 ft in vertical distance and arrive at a slope of approximately -0.047. While this is, in some sense, the slope of the hill, it is not the slope of the function as described. This interpretation yields numbers that are very close to the situation described in the task, yet conceptually different since the distance traveled by the car would now be expressed in terms of horizontal distance traveled as opposed to distance along the slope of the hill to compute the elevation. If students do indeed pursue this line of reasoning, the task provides an opportunity to compare and contrast the graph of the function and what it represents with a drawing of the hill and the vertical and horizontal distances traversed with each mile down the slope.
Step-by-step explanation:
From the given function in terms of D the elevation of the car above sea
level can be determined.
Responses:
The slope is the decrease in the elevation per unit increase in distance from the top of the hill.The y-intercept is the elevation of the top of the hill above sea level.The x-intercept is the distance from the top of the hill top when the elevation of the car is at sea level.How can the linear function for the slope and intercept be interpreted?Given:
The function that gives the elevation of the car above sea level, from the top of the hill is given as follows;
Elevation above sea level = 7500 - 250·D
Where;
0 ≤ D ≤ 6
Required:
The meaning of the slope and intercepts of the graph of the function.
Solution:
From the given linear function, of the elevation of the car, we have;
The slope which is -250 = The decrease in the elevation when the distance of the car from the top of the hill increases by 1 mile.The y-intercept, which is 7,500, is the elevation above sea level when the car is 0 mile from the top of the hill, which is when the car is at the top of the hill.The x-intercept is the point at which the elevation, which is the distance the car will be from the top of the hill when it is at sea level.Learn more about linear functions here:
https://brainly.com/question/4025726
Please help me I don't knoe
Answer:
x = sqrt(147)
Step-by-step explanation:
This is a right triangle, so we can use the Pythagorean theorem.
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse.
x^2 +7^2 = 14^2
x^2 +49 = 196
Subtract 49 from each side
x^2 = 147
Take the square root of each side
sqrt(x^2) = sqrt(147)
x = sqrt(147)
Answer:
[tex]7\sqrt{3}[/tex] or 12.12
Step-by-step explanation:
The pythagorean theorem states that a^2 + b^2 = c^2, with a and b representing the legs and c representing the hypotenuse.
7^2 + x^2 = 14^2
49 + x^2 = 196
x^2 = 147
x = [tex]7\sqrt{3}[/tex] or 12.12
HELPPP PLEASEEE ILL GIVE B IF CORRECT AND EXPLAIN
What is the length of the diagonal of the rectangle?
10.625
126.4375
29.75
21.25
Answer:
Step-by-step explanation:
Use Pythagorean theorem,
Hypotenuse² = base² +altitude²
Diagonal² = 17² + 12.75²
= 289 +162.5625
= 451.5625
Diagonal = √451.5625
= 21.25
Answer:
The answer is 21.25
Step-by-step explanation:
6)
Which is equivalent to 23-2-5?
A)
2-15
B)
C)
2-2
D
22
Answer:
Step-by-step explanation:
16 is equivalent to 23- 2- 5Question 15
Elizabeth goes to a restaurant where her
bill comes to $18.50. The restaurant
charges a 7% tax on the bill. She leaves
the server a 15% tip on the bill. How
much will Elizabeth pay in total?
-please answer I am currently on a test right now plz also show your work so I can get full credit :)
Answer:
The answer is $22.77.
Step-by-step explanation:
15%=$2.97
7% tax= $1.30
18.50+1.30=19.80
2.97+19.80=22.77
Total: $22.77
Can someone help me out with this one???!!!
Answer:
b=6/5
Step-by-step explanation:
Pls help!!!! Pic attached
hello help please i’ll mark brainliest!!!
Answer:
Consisting of billions of galaxies
Step-by-step explanation:
if x,y are in inverse proportion then complete the following table x= 42 y=-15 , x=30 y=-----
Answer:
when x=30, y = -21
Step-by-step explanation:
x = k/y
x = 42 y = -15
x = k/y
42 = k/-15
Cross product
42 * -15 = k
-630 = k
k = - 630
Find y when x=30
x = k/y
30 = -630/y
Cross product
30 * y = - 630
30y = - 630
y = - 630/30
y = -21
when x=30, y = -21
What is the straight-line distance between (-2, -7) and (-4, -9) on a coordinate graph?
Answer:
yeah, the selected is correct
Step-by-step explanation:
distance is...
2 and 2 square root
What is the negative square root of 25/400?
Answer:
Step-by-step explanation:
Please answer!! And will you explain why??
100 increased by 99%
Answer:
100 increased by 99% is 199
Answer: 199
Step-by-step explanation: i asked siri
What is the common difference of the arithmetic sequence on which the series is based?
: 3 + 4.5 + 6 + 7.5 + 9 + 10.5.
Answer:
Step-by-step explanation:
1.5
Hope that helps!
Answer:
1.5
Step-by-step explanation:
......................
Kayden is a teacher and takes home 100 papers to grade over the weekend. He can grade at a rate of 6 papers per hour. How many papers would Kayden have remaining to grade after working for 10 hours?
Answer:
40 papers
Step-by-step explanation:
6 x 10 = 60
100- 60 = 40
Can someone please help me with #2,3,5 ( for Brainliest)
Answer:
2) m∡1 = 100°
3) m∡2 = 40°
4) TD
5) m∡1 = 67°
Step-by-step explanation:
Write the expression in repeated multiplication form. Then write the expression as a power. (-8)^3*(-8)^4 The expression in repeated multiplication form is... can someone help me im kinda confused
Given:
The expression is
[tex](-8)^3\cdot (-8)^4[/tex]
To find:
The expression in repeated multiplication form and then write the expression as a power.
Solution:
We have,
[tex](-8)^3\cdot (-8)^4[/tex]
The repeated multiplication form of this expression is
[tex]=[(-8)\cdot (-8)\cdot (-8)]\cdot [(-8)\cdot (-8)\cdot (-8)\cdot (-8)][/tex]
[tex]=(-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)[/tex]
Clearly, (-8) is multiplied seven times by itself. So,
[tex]=(-8)^7[/tex]
Therefore, the repeated multiplication form of the given expression is [tex](-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)[/tex] and the expression as single power is [tex](-8)^7[/tex].
Use the iterative formula xn+1 = 4 - √x with x0 = 2 to find the solution to f(x) correct to 2 decimal places.
Suppose that an individual has a body fat percentage of 18.9% and weighs 141 pounds. How many pounds of her weight is made up of fat? Round your answer to the nearest tenth.
Please respond within the hour
Thanks
here is the proportion I used to get the answer. hopefully this helps
LE
Majid rents a bicycle to ride around the city.
There is AED 80 deposit plus AED 22 per hour charge.
If Majid pays AED 146, Majid can ride the bicycle for
hour
B
22
12
80
Answer:
3 hours
Step-by-step explanation:
The rent of the bicycle comes with a charge of:
Initial deposit = AED 80
cost per hour = AED 22
If Majid pays AED 146, then;
AED 146 - AED 80 = AED 66
Given that the charge per hour is AED 22, then to determine the number of hours that Majid can ride;
number of hours = [tex]\frac{AED 66}{AED 22}[/tex]
= 3
Majid would be able to ride the bicycle for 3 hours when he pays AED 146.
State if the two triangles are congruent. If they are, state how you know
(look at the picture)
Justin and his friends went to a movie that started at 7:35 p.m. Justin got home 50 minutes after the movie ended. What time did Justin get home? (elementary not highschool)
Answer:
There is no set length for the movie, but usually they're about 2 1/2 hrs so probably 10:55?
I need help with this question , 13 + 7x = 27
Answer:
x=2
Step-by-step explanation:
27-13=14
14÷7=2
therefore x is equal to 2
473hours to days and hours
Answer:
19 days and 17 hours
Step-by-step explanation:
I need help with prime factors
Answer: the answer is 8 and 3
Step-by-step explanation:
factors are numbers that can be multipiled together to find a whole number. since 8 and 3 are being multiplied together to get 24, 8 and 3 are factors of 24.
I hope this helps ! good luck
Find tan
A 8/15
B 15/8
C 15/7
D 8/17
Answer:
cos α = 8/17
Apply Pythagoras theorem for triangle ,
Let get unknown side of triangle is y
17^2 = 8^2 + y^2
17^2 - 8^2 = y^2
225 = y^2
y = sqrt(225)
y = 15
tan α = 15/8
Step-by-step explanation:
Answer:
The correct answer is 8/15 on edg
PLEASE HELP ILL MARK U BRAINLIEST!!!!!!!
4 adults and 3 children cost $40 to go to a show. 2 adult and 6 children cost $38 to go to the same show. How much would it be for adults to go to this show. How much would it cost for 2 adults and children?
Answer:
$7 dollar per adult
$4 dollars per child
two adults and two children would cost $22
Step-by-step explanation:
find the value of x in each triangle. show your work on a separate piece of paper
Answer:
125
Step-by-step explanation:
all angles in a triangle add up to 180. you add 100+25=125 180-125=55 to check... 125+55=180 to angles next to each other on a straight line equals 180-55=125 angle x= 125
im pretty sure thats correct i hope this helps!