The correct answer is: g(x) is compressed horizontally and reflected over the y-axis.
To understand how the graph of [tex]\( g(x) = f(-2x) \)[/tex] compares to the graph of the parent function [tex]\( f(x) = x^3 \)[/tex], we need to analyze the effects of the transformations applied to [tex]\( f(x) \)[/tex].
1. The transformation [tex]\( f(-x) \)[/tex] would reflect the graph of [tex]\( f(x) \)[/tex] over the y-axis. This is because for every point [tex]\( (x, y) \)[/tex] on the graph of [tex]\( f(x) \)[/tex], there will now be a corresponding point [tex]\( (-x, y) \)[/tex] on the graph of .
2. The transformation [tex]\( f(2x) \)[/tex] would compress the graph of [tex]\( f(x) \)[/tex] horizontally by a factor of 2. This is because for every point [tex]\( (x, y) \)[/tex] on the graph of [tex]\( f(x) \)[/tex], there will now be a corresponding point [tex]\( \left(\frac{x}{2}, y\right) \)[/tex] on the graph of [tex]\( f(2x) \)[/tex]. The x-values are halved, which means the graph is compressed along the x-axis.
Combining these two transformations, [tex]\( g(x) = f(-2x) \)[/tex] indicates that the graph of [tex]\( f(x) \)[/tex] is first compressed horizontally by a factor of 2 and then reflected over the y-axis.
Therefore, the graph of [tex]\( g(x) \)[/tex] is compressed horizontally and reflected over the y-axis when compared to the graph of the parent function [tex]\( f(x) \)[/tex].
What is the value of x?
Enter your answer in the box.
Answer:
x=4
Step-by-step explanation:
to find RT, you would do the 60-60-90 rule and you would get 4, x and RT are the same value because of the 45-45-90 rule, so x=4
Find the circumference of a circle with a diameter of 5inches
Answer:
15.7
Step-by-step explanation:
5 times 3.14 will give you circumference of a circle
Answer:
15.7 in
Step-by-step explanation:
Circumference = pi × d
3.14 × 5
15.7 inches
In his living room rashad has a window shaped liked a rectangle . It is 7.2 feet high and 8.7 feet wide. What is the area of the window
Answer:62.64
Step-by-step explanation:
You have to multiply them
Which ordered pair must be removed to make the relation a function. {(1, −5), (2, −4), (3, 4), (4, 3), ( 3, -4)}
Answer:
I actually have no idea
Step-by-step explanation:
Answer:
either the ordered pair (3 , 4) or (3 , -4)
Step-by-step explanation:
a function is where there is only one x to each y value
each x value must not be the same
DNA TAC ACC TTG GCG ACG ACT Write the mRNA strand then the Amino Acid sequence.
what is the surface area of a storage box that measures 21 centimeters by 18 centimeters by 16 centimeters
Answer:
2004 cm²
Step-by-step explanation:
To solve this problem, you just need to plug your values into the rectangular prism formula: A=2(wl+hl+hw)
Assuming that the length is 21 cm, the width is 18 cm, and the height is 16 cm, your problem would look like this:
A=2((18x21)+(16x21)+(16x18))=2(378+336+288)=2x1002=2004 cm²
Lin says that the inequalities h>150 and h<160 describe her height in centimeters. what do the inequalities tell us about her height?
Answer:
Her height is in between 150 and 160
Step-by-step explanation:
Given
h > 150
h < 160
Required
What do these represent?
First, the inequalities need to be combined.
If h < 160, then this means that 160 > h.
So, h > 150 and 160 > h can be combined to form an inequality in the following form;
160 > h > 150
This.meeans 160 is greater than h and h is greater than 150.
If this is related to her height, it means 160 is greater than her height and her height is greater than 150;
In other words, her height is in between 150 and 160
A certain shampoo is available in two sizes. A 23.7-ounce bottle costs $4.97 . A 33.8 -ounce bottle costs $7.48 . Find the unit price for each size. Then state which size is the better buy based on the unit price. Round your answers to the nearest cent.
Unit price for the 23.7 Price per ounce
33.8 Price per ounce
Answer:
23.7 ounce = 20 cents per ounce
33.8 ounce = 22 cents per ounce
The 23.7 ounce bottle is a better deal because it is only 20 cents per ounce, rather than 22 cents per ounce.
Which best describes the data for June, July, and August?
A.a cluster
B. a gap
C. low frequency
D. Symmetric
Pls I need this really quick
Answer: A cluster.
Step-by-step explanation:
A cluster has ups and downs and one peak.
Answer:
A: a cluster
Step-by-step explanation:
An Ice Hockey rink is a rectangle with a perimeter of 174 meters. The length is 9 meters more than twice the width. What equation describes this problem? (Remember that the perimeter is twice the length plus twice the width)
Answer:
Let width be x metres
so, length is "9 metres more than twice the width" --> 9+2x
So, perimeter is x + x + (9+2x) + (9+2x) = 174
6x + 18 = 174
6x = 156
x = 156/6
x = 26m
width = 26m
length is therefore 9+2(26) --> 9+52 --> 61m
Step-by-step explanation:
Select the measurements that are equivalent to one hundred grams.
1,000 mg
10,000 cg
0.1 kg
10 hg
Answer:
100 grams is = to 0.1 kg
Step-by-step explanation:
100 grams is = to 10,000 mg which is incorrect. I am not sure what the other answer choices are, but C is your correct answer.
Final answer:
The measurements equivalent to one hundred grams are 10,000 centigrams (cg) and 0.1 kilograms (kg). The other options provided do not equal 100 grams.
Explanation:
To determine which measurements are equivalent to one hundred grams, we need to understand the relationship between different units of mass. In the metric system, mass is commonly measured in kilograms (kg), grams (g), and milligrams (mg), among others. Here is a reference based on the information you provided:
1 kilogram (kg) = 1000 grams (g)
1 gram (g) = 1000 milligrams (mg)
Now, let's evaluate each option provided in the question:
1,000 mg = 1 g (not 100 g)
10,000 cg = 100 g (since 1 g = 100 centigrams (cg))
0.1 kg = 100 g (since 1 kg = 1000 g)
10 hg = 1000 g (since 1 hectogram (hg) = 100 g)
Therefore, the measurements equivalent to one hundred grams are 10,000 cg and 0.1 kg.
There are 8 baseball players in the dugout for practice. Each player shakes hands with each of the other player ONLY ONCE.
How many handshakes are there?
Explanation:
There are 8 players. For each player, there are 7 people to shake hands with. So we have 8*7 = 56 handshakes so far; however, we double count since the sequence AB is the same as BA (where A and B are player names). Order does not matter when it comes to shaking hands. So we have to divide by 2 to fix the double count. We go from 56 to 56/2 = 28. There are 28 different combinations.
You can use the formula [tex]_nC_r = \frac{n!}{r!(n-r)!}[/tex] with n = 8 and r = 2, but the formula is a bit confusing to be honest if you aren't familiar with it. The exclamation marks indicate factorials.
Extra info: The value 28 can be found in Pascals triangle. Look at the row that starts with 1, 8, ... then note how 28 is in the third slot. Keep in mind that you start at r = 0 and count up by 1. So r = 2 corresponds to the third slot.
Answer:
8 players in total
Step-by-step explanation:
A salesperson earns a 2% commission rate on sales of camera equipment. Yesterday she earned $60 in commission. What were her sales that day?
To find the salesperson's total sales, we use the formula Commission = Sales x Commission Rate, where $60 is the commission earned at a 2% rate. Dividing $60 by 0.02 gives us the total sales of $3000 for that day.
The student has asked about calculating the total sales based on a commission earned by a salesperson. To find out the total sales we can use the formula: Commission = Sales * Commission Rate. Given that the salesperson earned a $60 commission at a 2% commission rate, we set up the equation: 60 = Sales * 0.02. To solve for Sales, we divide both sides by 0.02, which gives us Sales = 60 / 0.02. Thus, the total sales for that day were $3000.
explain how the formula for the volume of a cone is derived
Answer:
The volume of a cone is 1 3 π r 2 h \frac { 1 } { 3 } \pi r ^{ 2 } h 31πr2h, where r denotes the radius of the base of the cone, and h denotes the height of the cone.
Step-by-step explanation:
(happy to help)
Final answer:
The volume of a cone is derived using the principle of integrating infinitesimally thin discs along the height of the cone, given by the formula V = ⅓πr²h.
Explanation:
The formula for the volume of a cone is derived using calculus and geometric principles. Consider a cone generated by rotating a line around one of the coordinate axes. If we know the formula for the area A of a circle, it can be extended to find the volume of a cone. The area A of a circle is πr², where r is its radius. The formula for the volume V of a cone is ⅓ × base area × height, which can be expressed as V = ⅓πr²h, with h being the cone's height.
Using integral calculus, the cone's volume is found by stacking infinitesimally thin discs (each with volume πr²dx, where dx is the disc's thickness) along the cone's height. The radius r changes linearly from the base to the apex, following the relationship r = (h - x)tan(a), where a is the semivertical angle of the cone. Thus, you integrate from the apex (0) to the base (h) to find the entire volume of the cone.
The temperature fell from 0 Degrees Fahrenheit to 15 and one-half Degrees Fahrenheit below 0 in 5 and three-fourths hours. Wen tried to find the change in temperature per hour. Her work is shown below. Negative 15 and one-half divided by 5 and three-fourths = negative StartFraction 31 over 2 EndFraction divided by StartFraction 23 over 4 EndFraction = negative StartFraction 31 over 2 EndFraction times StartFraction 23 over 4 EndFraction = Negative StartFraction 713 over 8 EndFraction When she checked the answer by estimating, it did not make sense. What error did Wen make? Wen incorrectly converted a mixed number to an improper fraction. Wen added the numerators and denominators instead of multiplying. Wen did not take the reciprocal of the divisor. Wen did not change the division problem to multiplication.
Answer:
C. Wen did not take the reciprocal of the divisor.
If the spinner is spun 40 times, predict the number of times the spinner would land on Section B
Answer:
11
Step-by-step explanation:
bkbkbk
Jan conducts an experiment and tosses a coin 40 times. She gets heads 30 times instead of the expected 20. What could be a reason for this difference?
A) She miscounted.
B) She needs more trials.
C) She needs a different coin.
D) She got 30 and that is close enough.
the answer is B. hope i helped
HURRY PLEASEEEEE!!!!
Use r = 2 and r = 5 to determine if the two expressions are equivalent.
r + 4(2 + r) – 12 8 + 2r – 6
Complete the statements.
1.When r = 2, the first expression is ?.
2.When r = 2, the second expression is 6.
3.When r = 5, the first expression is 21.
4.When r = 5, the second expression is .?
5.The expressions are not equivalent.
The two expressions are not equivalent to each other at r =2 and r = 5.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Use r = 2 and r = 5 to determine if the two expressions are equivalent.
r + 4(2 + r) – 12 8 + 2r – 6
First put r = 2 in both the expressions:-
E1 = 2 + 4 ( 2 + 2 ) -12
E1 =6
E2 = 8 + ( 2 x 2 ) - 6
E2 = 6
Secondly, put r = 5 in both the expressions.
E1 = 2 + 4 ( 2 + 5 ) - 12
E1 = 30
E2 = 8 + ( 2 x 5 ) -6
E2 = 12
The two expressions are not equivalent at r = 2 and r =5.
To know more about Expression follow
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Answer: 6, 12
Step-by-step explanation:
proof :)
Find the value of x in the following diagram.
Answer:
x = 3.5
Step-by-step explanation:
diameter = radius × radius
d= ( 3x + 1 ) + ( x + 8 )
3x + 1 = x + 8
subtract 1 and x
2x = 7
divide by 2
x = 3.5
Choose the correct answer
Answer:
Option D
Step-by-step explanation:
Assuming you're referring to slope, the rule is rise/run or "rise over run" so as i look at this line i see it rises 1 unit and then runs back or negatively 4 units, therefor the answer is D 1/-4
Please mark as brainliest :)
90 is 45% of what number
Answer:
200
Step-by-step explanation:
90=.45x (x being the number)
(multiply by 100/45)
90(100/45)
9000/45=
x=200
What is the perimeter of a triangle with side lengths of 8 cm, 8 cm, and 3 cm?
Plz help
Answer:
19
Step-by-step explanation:
8+8+3 = 19
A leading dental journal has claimed that 64% of young adults do not brush their teeth
regularly. A dental hygienist wants to conduct a survey to verify this with her young adult patients and wants to do so with a margin of error of +/-5%. What minimum sample size,
rounded to the nearest whole person, would the hygienist need to use?
Answer:
About 30%
Step-by-step explanation:
Well, um...
If 64% did not, then 36% of them do.
So, about 30% Do.
what is 4^4 . 4^44 please help
Answer:
4^48
Step-by-step explanation:
you add the exponents
Answer:
[tex]4^{48}[/tex]
Step-by-step explanation:
[tex]4^{4} *4^{44} =4^{48}[/tex]
You can just calculate this if you'd like and it'd still be the same answer...
Find the slope of a line passing though the given points (1,4) (3,2)
PLEASE HELP!
put the following fractions in order from smallest to biggest
1/2, 3/4, 3/8, 5/8, 5/16, 7/16, 9/16 and 11/16 inches
What is the A ⋃ B for the venn diagram
Answer:
The elements contain in A U B is {11,12,13,14,15,16,17} .
There are 7 elements in A U B.
Use either the square of a binomial or the
difference of two squares to find the area of
each rectangle.
Answer:
9. 2916 sq. cm
10. 864 sq. in
Step-by-step explanation:
9.) 54 cm * 54 cm = area of square
(50 + 4)*(50 + 4) = 50*50 + 8*50 + 16
= 2500 + 400 + 16 = 2916 sq cm.
10. 24 in * 36 in. = area of rectangle
get: (30 - 6)*(30 + 6) = 30^2- 6^2
= 900 - 36 = 864 sq. in.
Ileana buys a large circular pizza that is divided
into eight equal slices. She measures along the
outer edge of the crust from one piece and finds it
to be 5 1/2 inches. What is the diameter of the pizza
to the nearest inch?
- 4 inches
- 7 inches
- 8 inches
- 14 inches
Answer:
14
Step-by-step explanation:
the edge of one slice of pizza is 5.5 and there are eight slices so i multiplied 5.5 by eight to get the circumference
the circumference is 44 so i divided that by pi to get the diameter which was 14 after you round
if your more of a numbers/formula person this might be more helpful:
circumference: 5.5 x 8 = 44
formula for diameter is [tex]d=\frac{C}{\pi }[/tex]
so, [tex]d=\frac{44}{\pi }[/tex]
[tex]d=14[/tex]
The diameter of the pizza is 14 inches.
Given that the pizza is divided into 8 equal slices and one of the outer edges measures 5 1/2 inches.
When need to find the diameter of the pizza.
What is the formula to find the circumference of the circle?The formula to find the circumference of the circle is 2πr.
Since a pizza is divided into 8 equal parts.
So, the circumference of 1 part=2πr/8=πr/4
πr/4=5.5 inches.
⇒πr=22
⇒r=7 inches.
Then, diameter=14 inches.
Therefore, the diameter of the pizza is 14 inches.
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Determine the area of a triangle with m
Answer:
I'm guessing they're asking about trig functions, topic test. Answer: B) 10 units^2
Step-by-step explanation:
just took the topic test on edge2021