What is the effect on the graph of the function f(x) = x2 when f(x) is changed to f(x − 6)?
Answer:
Horizontal translation in the [tex]+x[/tex] direction.
Step-by-step explanation:
A function of the form [tex]f(x)[/tex] experiments an horizontal translation when the following substitution is applied:
[tex]x \to x + a[/tex], where [tex]a \in \mathbb{R}[/tex]
If [tex]a > 0[/tex], the function is translated in the [tex]-x[/tex] direction, whereas [tex]a < 0[/tex] is the case for the function being translated in the [tex]+x[/tex] direction.
The effect on the graph can be defined by a composition between two function:
[tex]f(x) = x^{2}[/tex], [tex]g (x) = x-6[/tex]
[tex]f\,\circ\,g\,(x) = (x-6)^{2}[/tex]
The resulting expression represents a horizontal translation in the [tex]+x[/tex] direction.
Finally, we plot [tex]f(x)[/tex] (red) and [tex]f\,\circ g\,(x)[/tex] (blue) by a graphing tool and proved the certainty of this theory.
what’s the answer for 18, tysm
Pair 1: 48º and 48º
48 + 48 + 84 = 180
Pair 2: 84º and 12º
84 + 12 + 84 = 180
If 3x - 2 = -x + 10, then x =
Answer:
3
Step-by-step explanation:
3x-2= -x+10
4x= 12
x=3
Find the area of the circle to the nearest hundredth.
Answer:
area of circle=πr²
22/7×4²22/7x1651in²hope it helps
stay safe healthy and happy .What is the area of the shower floor ?
Answer:
42 sq feet
Step-by-step explanation:
w = 26 ÷ 2 - 7 = 6 ft
A = lw = 6 × 7 = 42
i nned hellp
10m = ? m
Answer:
10m=32.8084 foot
Step-by-step explanation:
that's your answer
Answer pls! Will mark the brainliest
Answer:
length of the side on the square is 2 cm
[tex] \frac{1}{3} {a}^{2} h = 20 \\ {a }^{2} = 20 \div 5 \\ {a}^{2} = 4 \\ a = 2[/tex]
A can of soup has a diameter of 7 cm and a height of 12 cm. Assuming that
the can is full, what is the volume of soup contained in the can? Use 3.14 for
Ti and round your answer to the nearest cubic centimeter.
TOMATI
Soup
12 cm
7 cm
Answer:
462 cm³
Step-by-step explanation:
A can of soup has the shape of a cylinder
Volume of a cylinder = πr²h
π = 3.14
radius, r = diameter / 2
= 7cm / 2
= 3.5 cm
Height, h = 12 cm
Volume of a cylinder = πr²h
= 3.14 * (3.5)² * 12
= 3.14 * 12.25 * 13
= 461.58 cm³
Volume of the cylinder = 461.58 cm³
Approximately to the nearest cubic centimeter = 462 cm³
If it takes 13 cup of flour to make 14 of a cake, how many cups of flour are needed to make a whole cake?
Answer:
Im guessing you meant it takes 1/3 cups of flour to make 1/4 of a cake not "14"
Step-by-step explanation:
in that case you would do
1/3+1/3+1/3+1/3
or 1/3*4
which would be 4/3
or
1 1/3
Lauren wants to go bowling. The bowling alley charges $5 per game and a one-time charge of $2 for bowling shoes. Consider the following information. y = 5 x + 2 y is the total cost of bowling x is the number of games bowled
Answer:
Yes this correct y= 5x+2
Can someone help me please
9514 1404 393
Answer:
J p = 8t +12
Step-by-step explanation:
You can see that the p-values have differences of 8, while the t values have differences of 1. That means the "rate of change" is 8/1 = 8. This will be the coefficient of t in the equation you're looking for.
Only one answer choice has 8t as part of the equation:
p = 8t +12
______
Additional comment
If you decide to try the values of t in the offered choices, it often works to start with the second value of t. The answer choices are sometimes tailored to match for the first value in the table. Usually the second value of t will quickly identify the correct one.
For t=2, ...
F: p = 20·2 = 40 ≠ 28
G: p = 11·2 = 22 ≠ 28
H: p = 20·2 +12 = 52 ≠ 28
J: p = 8·2 +12 = 28 . . . . the correct choice
3 consecutive integers that have a sum of -558
Answer:
(n1, n2, n3), (-187, -186, -185) with a sum of -187 + -186 + -185 equal to -558.
Step-by-step explanation:
Order these numbers from least to greatest.
3/4, -1/5, -5/16, 0.90, -0.52
0.90, 3/4, -5/16 , -0.52, -1/5
-1/5 , -5/16 , -0.52, 3/4, 0.90
0.90, 3/4, -0.52, -5/16 , -1/5
-0.52, -5/16 , -1/5 , 3/4, 0.90
Answer:
0.90, 3/4, -5/16 , -0.52, -1/5Step-by-step explanation:
Solve for x: 5x + 15 = 75
Answer:
x = 12
Step-by-step explanation:
5x + 15 = 75
-15 -15
5x = 60
x = 12
10.25 : -0.5 = 0
-20.5
20.5
-0.05
0.05
Answer:
20.5
Step-by-step explanation:
hope it helps you that is all I could do.
please help will mark brainliest
Answer:
A. (-4,2)
Step-by-step explanation:
If you need 3 cups of flour for 1 batch of cookies, how many cups of flour will you need for 3 batches of cookies?
Answer:
9 cups of flour
Step-by-step explanation:
[tex]\frac{3}{1} =\frac{y}{3}[/tex]
3:1 = y:3
1 × y = 3 × 3
y = 9
9 cups of flour
Answer:
1 batch = 3cups
so, we need to find how many cups of flour we'll need for 3 batches if 1 batch equals 3 cups....
1 batch = 3 cups
X
3 batches = a
a= 3 batches x 3 cups
= 9 cups
Peter bought 5 pens and 8 pencils they cost him 13,25€. How much does one pencil and one Pen cost if the pencil 1,35€ cheaper than the pen
Step-by-step explanation:
pen=1.35 + pencil......1
5pen+8pencil=13.5 calculate this for pen
pen=13.5-8pencil/5.....2 combine equation 1$2
What’s the value of x
Answer:
x = 2
Step-by-step explanation:
According to the inscribed Angle Theorem, the size of an inscribed angle = ½(measure of the intercepted arc)
m<L = (7x + 9)° is an inscribed angle
m(KM) = 46° is its intercepted arc
Therefore:
7x + 9 = ½(46)
Multiply both sides by 2
2(7x + 9) = 46
14x + 18 = 46
14x + 18 - 18 = 46 - 18
14x = 28
14x/14 = 28/14
x = 2
Did I divide this correctly?
Answer:
i think you did
Step-by-step explanation:
...........
Two cards are drawn at random from a standard deck without replacement. Which of the following
represents the probability that the two cards drawn are either both kings or both queens?
Answer: .15% (point fifteen percent)
:)
Step-by-step explanation:
Virginia had an average rainfall of 24 inches last year. This year it rained 10% more than last year. How many inches of rain fell this year?
Answer:
It rained 26.4 inches this year.
Step-by-step explanation:
10% of 24 is 2.4
24 + 2.4 = 26.4
Answer:
26.4
Step-by-step explanation:
100%=240
10%=2.4
110%=26.4
So you wanna go shopping and you have 45$ to spend. you see a t shirt you like
for 15$, a pair of new shoes for 20$ and a holiday sweater for 10$, and some pants for 13$. Which two things should you buy to save the most money on your purchase?
Answer:
The holiday sweater and the pants will save the most money with having $22 left.
Step-by-step explanation:
have a good day :)
Help with all 4 asap thanks
Answer:
1=122
2=148
3=151
4=114
Step-by-step explanation:
i subtracted the degrees from 180 degrees and got my answer
I need to figure out what x is for my homework and I’m so confused teehee.
Answer:
x = 9
Step-by-step explanation:
set a proportion: 8/12 = 6/x => 8x = 72 => x = 9
A rectangle has an area of 48 cm².
The length is three times the width.
Work out the length of the rectangle.
can someone solve this
7x+4y=12
x+2y=-4
Answer:9.
Step-by-step explanation:7x -4y =9. 13x = 39. x = 3. 3(3) + 2y = 15. 9 +2y =15. 2y = 6y = 3. check: 7(3)
- 4(3) = 21 - 12 = 9.
In a class of 30 students, 13 have a brother and 8 have a sister. There are 3 students who have a brother and a sister. What is the probability that a student who has a sister also has a brother?
Answer 3/8
Answer:
[tex]P(sister) = \frac{8}{30} \\ [/tex]
Step-by-step explanation:
[tex]P(sister) = \frac{8}{30} \\ P(brother) = \frac{13}{30} \\ P(SnB) = \frac{3}{30} \\ [/tex]
Pleas homework due in 8 minutes plz plz help ASAP
Jacob used a simulation to predict the chance that a canal will flood in 1 of the next 6 years. A number 1 indicates a year in which the canal will flood. Numbers 2, 3, or 4 indicate a year in which the canal will not flood. The results of the simulation are shown. What is the experimental probability that a canal will flood in at least 1 of the next 6 years?
here is the table and the question
Answer:
is there like answer choices or do you just fill it in? if so then i think it would be unlikely.
Step-by-step explanation:
there’s only 7 ones which is the number that shows it will flood so 7/36 is unlikely, it has to be more than half to be likely
A circle has a radius of 12 centimeters. Which expression gives the circumference of the circle, in
centimeters?
Ο Α. π(12)
B. 27(12)
C. (127)
D. 24(122)
Answer:
I believe that the answer is D. 24(122)
Step-by-step explanation:
sorry if I'm wrong.
hope this helps <3