The correct option is D: G(x) = -5x².
The equation of G(x) will be -5x² after vertically stretching and flipping.
What is meant by stretching vertically and flipping?A function change called a stretch or compression makes a graph bigger or narrower without moving it horizontally or vertically.
Vertical stretching: A function's graph is stretched or compressed vertically in proportion to the graph of the original function when we multiply it by a positive constant. We obtain a vertical stretch if the constant is bigger than 1, and a vertical compression if the constant is between 0 and 1.flipped over the x-axis: In order to reflect over the X axis, one must negate the value of each point's y-coordinate while maintaining its x-value. The graph reflects across the x-axis prior to transformation when the parent function f(x) = x² has an a-value smaller than 0. The function f(x) = -x² is the result.To know more about the vertical stretch, here
https://brainly.com/question/14325265
#SPJ4
The complete question is -
The graph of F(x) can be stretched vertically and flipped over the x-axis to produce the graph of G(x). If F(x) = x², which of the following could be the equation of G(x)?
A: G(x) = -1/5x²
B: G(x) = 5x²
C: G(x) = 1/5x²
D: G(x) = -5x²
Which choice is equivalent to the quotient below? √16 OA. A OB. N/హ / OC. 2 D. √√2
Answer:
C
Step-by-step explanation:
Please refer to the attached photo for step by step solutions.
Note: Square roots and squares will always cancel out each other.
The fatal crash rate of teenage drivers 16 years of age is nearly twice as high at night. Select one: True False
TRUE
The fatal accident rate for young drivers aged 16 to 19 is about four times higher than at night. Two or more passengers of the same age triple the risk of a fatal accident driving a teenager.
An accident in which someone dies. Synonyms: Accident. Type: Collateral damage.
Of the collisions between cars, angled collisions are the most deadly (about 8,000 in 2020). The interactive chart also shows the estimated number of fatalities, injuries, casualties, and all accidents in different types of car accidents.
Learn about car crashes here:https://brainly.com/question/25241464
#SPJ4
A teacher with 10 students has 30 lesson times available. She will teach exactly one of her students during each lesson time. How many ways are there for her to decide which student she will teach during each lesson time if she must teach each student exactly 3 times
There are [tex]\frac{30!}{(3!)^{10} }[/tex] ways for the teacher to decide which student she will teach during each lesson time if she must teach each student exactly 3 times. Here, "!" represents the factorial.
A number's factorial is the result of multiplying the integer by each natural number below it. Factorial can be symbolized by the letter "!". Thus, n factorial is denoted by n! and is the result of the first n natural numbers.
A whole number's "n" factororial is the sum of that number and each whole number up to one.
When a question asks you to determine how many different ways you can arrange or order a given number of items, you use a factorial.
Learn more about factorials here:
https://brainly.com/question/25997932
#SPJ1
WILL GIVE BRAINLIEST! I’m desperate for help! This assignment is due today I’m stuck! Pls help!
Which expression represents the following statement? Multiply 6 by 3, and then subtract the quotient of 18 and 9.
6 x (3 ÷ 18) + 9
6 + 3 + (18 ÷ 9)
(6 x 3) − 18 ÷ 9
6 x (3 + 18) + 9
Answer:
Step-by-step explanation:
the third one is correct
[tex]6 \times 3 - \frac{18}{9} \\ (6 \times 3) - (18 \div 9)[/tex]
TIME REMAINING
43:25
Triangles X Y Z and X prime Y prime Z prime are shown.
ΔXYZ was reflected over a vertical line, then dilated by a scale factor of One-half, resulting in ΔX'Y'Z'. Which must be true of the two triangles? Select three options.
△XYZ ~ △X'Y'Z'
AngleXZY ≅ AngleY'Z'X'
YX ≅ Y'X'
XZ = 2X'Z'
mAngleYXZ = 2mAngleY'X'Z'
Answer:
△XYZ ~ △X'Y'Z'AngleXZY ≅ AngleY'Z'X'XZ = 2X'Z'Step-by-step explanation:
Reflection over any line is a rigid transformation that does not change angles or lengths. Dilation is a transformation that changes lengths by the same scale factor, but has no effect on angles. Dilated figures are similar to the original.
ApplicationWhen ΔXYZ is reflected over a vertical line, no lengths or angles are changed. When the reflected triangle is dilated by half, we get ...
Y'X' = (1/2)YX . . . . . . . makes option 3 false
X'Z' = (1/2)XZ . . . . . . . makes option 4 true
Since no angles are changed, we have ...
Angle XZY ≅ Angle Y'Z'X' (another name for angle X'Z'Y')
... makes option 2 true
Of course, the resulting triangle is similar to the original, so ...
△XYZ ~ △X'Y'Z' . . . . . option 1 is true
The volume, in cubic centimeters, of a fish
tank is represented by the polynomial
model
The polynomial's maximum value is relative.
Is the maximum relative or absolute?Here we have the polynomial:
[tex]V(x) = 36x^2 - 3.75x^3[/tex]
Notice that the leading coefficient is negative, so, as x tends to negative infinite, V(x) will tend to positive infinite.
So we only have a relative maximum, because is local maximum (at x = 6.4), but the function can take larger values than that.
You can also check that on the graph of V(x), which you can see below:
If you want to learn more about maximums:
https://brainly.com/question/1938915
#SPJ1
Read each question carefully and show work. Put your answer in the provided space.
Complete the equation describing how x and y are related.
X | Y
0 | -1
1 | -1.5
2 | -2
3 | -2.5
4 | -3
5 | -3.5
Y= [?]x + [?]
how to solve for problem 14
m∠ AEM = 20°
How to determine the angle
From the given figure, we can see that m∠ AEM is alternate to m∠ ACE
Note that m∠ ACE = 20°
Alternate angles are equal.
If m∠ ACE is alternate to m∠ AEM
Then, m∠ AEM = 20°
Hence, m∠ AEM = 20°
Learn more about alternate angles here:
https://brainly.com/question/24839702
#SPJ1
Can some solve for x please?
Answer:
x = 19
Step-by-step explanation:
You would use vertical angles to move the 8x - 14 so that we could use the Consecutive Interior angles theorem. Which says that consecutive angles equal 180. So, you would set up your equation: 8x-14+2x+4 = 180. Add the 8 and 2 = 10. Add the -14 and 4 = -10. You get 10x-10 = 180. 180+10 = 190. 190/10 = 19. X = 19
WILL MAKE BRAINLIEST!! Solve for x
Answer:
x=17
Step-by-step explanation:
Since they are intersecting lines, 3x=51
x=17
Answer:
x = 17
Step-by-step explanation:
When two lines intersect each other, the opposite angles are identical. Therefore, you can set both angles equal to each other to find the value of "x".
3x = 51
x = 17
If the growth rate of bacteria at any time t is proportional to the number present at t and triples in 1 week
If the growth rate of bacteria at any time is proportional to the number of bacteria present at t then the population after 20 weeks will be 403.42[tex]x_{0}[/tex] in which [tex]x_{0}[/tex] is the initial population.
Given that the growth rate of bacteria at any time t is proportional to the number present at t and triples in 1 week.
We are required to find the number of bacteria present after 10 weeks.
let the number of bacteria present at t is x.
So,
dx/dt∝x
dx/dt=kx
1/x dx=k dt
Now integrate both sides.
[tex]\int\limits {1/x} \, dx[/tex]=[tex]\int\limits{k} \, dt[/tex]
log x=kt+log c----------1
Put t=0
log [tex]x_{0}[/tex]=0 +log c ([tex]x_{0}[/tex] shows the population in beginning)
Cancelling log from both sides.
c=[tex]x_{0}[/tex]
So put c=[tex]x_{0}[/tex] in 1
log x=kt+log [tex]x_{0}[/tex]
log x=log [tex]e^{kt}[/tex]+log [tex]x_{0}[/tex]
log x=log [tex]e^{kt}x_{0}[/tex]
x=[tex]e^{kt}x_{0}[/tex]
We have been given that the population triples in a week so we have to put the value of x=2[tex]x_{0}[/tex] and t=1 to get the value of k.
2[tex]x_{0}[/tex]=[tex]e^{k} x_{0}[/tex]
2=[tex]e^{k}[/tex]
log 2=k
We have to now put the value of t=20 and k=log 2 ,to get the population after 20 weeks.
x=[tex]e^{20log 2}[/tex][tex]x_{0}[/tex]
x=[tex]e^{0.30*2}[/tex][tex]x_{0}[/tex]
x=[tex]e^{6}x_{0}[/tex]
x=403.42[tex]x_{0}[/tex]
If the growth rate of bacteria at any time is proportional to the number of bacteria present at t then the population after 20 weeks will be 403.42[tex]x_{0}[/tex] in which [tex]x_{0}[/tex] is the initial population.
Learn more about growth rate at https://brainly.com/question/25849702
#SPJ4
The given question is incomplete as the question incudes the following:
Calculate the population after 20 weeks.
The figure shows secants LH and and tangent J intersecting at point L. AHIL is a right triangle. Find m/HLJ, which is
the value for x, and m I, which is the value for y.
A. x = 274
y = 86
B. x = 137
y = 43
C. x = 47
y = 86
D. x = 317
y = 43
The values of x and y from the given diagram are 47 ad 86 degrees respectively
Circle theoremFrom the given circle, the triangle HJL is a right triangle.
Determine the value of y
43 = 1/2 <y
<y = 43 * 2
<y = 86 degrees
Since the sum of angle on a straight line is 180 degrees, such that;
x+90+43 = 180
x + 133 = 180
x = 47 degrees
Hence the values of x and y from the given diagram are 47 ad 86 degrees respectively
Learn more on circle theorem here: https://brainly.com/question/26594685
#SPJ1
which of the following would be a good name for the function that takes the length of a race and returns the time needed to complete it?
A. time(length)
B.length(time)
C.cost(time)
D. time(race)
The answer choice which best fits the function described in the task content is; Choice A; time(length).
Which would be a good name for the function?It follows from the task content that the function takes the length of a race and returns the time needed to complete it.
On this note, it follows that the time taken is a function of the length of the race.
Hence, the appropriate name of the function is; Choice A.
Read more functions;
https://brainly.com/question/17043948
#SPJ1
ANSWER BOTH QUESTIONS PLEASE REALLY IMPORTANT AND URGENT! WILL GIVE BRAINLIEST! THANK YOU!!!
Answer:
10. Area: ((6+4) * 8)/2 = 40 ft^2
Perimeter: 6 + 4 + 8 + 12.8 = 30.8 ft
8. 22 + 22 + 22 + 38 + 27.2 = 131.2 ft
What type of function is represented by the table of values below?
A. cubic
B. exponential
C. quadratic
D. linear
The table represents an exponential function:
[tex]f(x) = 3^x[/tex]
Then the correct option is B.
What type of function is represented by the table?
Here we have the table:
x y
1 3
2 9
3 27
4 81
5 243
You can see that each time that x increases by one unit, the value of is multiplied by 3. This is clearly an exponential function.
The function actually is:
[tex]f(x) = 3^x[/tex]
Evaluating it we get:
[tex]f(1) = 3^1 = 3\\\\f(2) = 3^2 = 9\\\\f(3) = 3^3 = 27\\...[/tex]
So the correct option is B, exponential.
If you want to learn more about exponential functions:
https://brainly.com/question/11464095
#SPJ1
Surface area=
Help me please thanks so much
The Surface Area of the sphere is 1017.16 unit^2.
what is the surface area of the sphere?
The surface area of the sphere is 4*pi*r^2.
where, r is the radius
Calculation :
given radius is 9 units
putting value in the formula of the sphere
S(area)=4*pi*r^2
=4*3.14*9^2
=4*3.14*81
=1017.16 UNIT^2
The Surface Area of the sphere is 1017.16 unit^2.
learn more about surface area of the sphere here
https://brainly.com/question/16185363
#SPJ1
The Surface Area of the sphere is 1017.16 unit^2.
The surface area of the sphere is 4*pi*r^2.
where, r is the radius
Calculation :
given radius is 9 units
putting value in the formula of the sphere
S(area)=4*pi*r^2
=4*3.14*9^2
=1017.16 UNIT^2
The Surface Area of the sphere is 1017.16 unit^2.
learn more about surface area of the sphere here:
bainly.com/question/16185363
#SPJ1
A committee of three people needs to be chosen. There are three men and five women available to serve on the committee. If the committee members are randomly chosen, what is the probability that two of the three people chosen on the committee are women
Answer:
probability of choosing two women over people in a community=⅔
PLEASE HELP FAST!
The question is below:
The transformation that produces same image are:
Translate 3 units right and 5 units down. Then rotate 90 degrees about the origin.Translate 2 units up and 4 units left. Translate 6 units down and 4 units rightThe transformation that produces different image are:
Rotate 90 degrees about the origin. Then Dilate using a scale factor of 1/2Dilate using a scale factor of 5. Translate 4 units left and 2 units upWhat is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.
Translation, reflection and rotation are rigid transformation which produces same image while dilation produces similar shapes.
The transformation that produces same image are:
Translate 3 units right and 5 units down. Then rotate 90 degrees about the origin.Translate 2 units up and 4 units left. Translate 6 units down and 4 units rightThe transformation that produces different image are:
Rotate 90 degrees about the origin. Then Dilate using a scale factor of 1/2Dilate using a scale factor of 5. Translate 4 units left and 2 units upFind out more on transformation at: https://brainly.com/question/4289712
#SPJ1
Compare the measures of the different angles of elevation and depression that are labeled in the diagram. Which statements are true? Check all that apply.
x > y
v > x
w = y
y < v
v = w
x < w
The statements that are true about the angle include:
x > y
w = y
y < v
How to illustrate the information?From the information, the first has legs 529m and 229m. Then tan x = 529/229. Also tan y = 529/347.
It can be seen that tan x is greater than tan y. Angles x, v, y, and w are alternate angles. Therefore, the correct options are A, C, avd D.
A weather balloon is 529 meters above the ground. Two weather stations, A and B, monitor the balloon’s progress. Compare the measures of the different angles of elevation and depression that are labeled in the diagram. Which statements are true
Learn more about angles on:
brainly.com/question/11944448
#SPJ1
A school offers three subjects: math, art and science. at least 80% of students study both math and art. at least 80% of students study both math and science. prove that at least 80% of students who study both art and science, also study math.
The proof to show that at least 80% of students who study both art and science, also study math is illustrated below.
How to illustrate the proof?From the information given, it was stated that at least 80% of students study both math and art and that at least 80% of students study both math and science.
Therefore, about (100 - 80) 20% doesn't study the combination of both subjects.
Here, those students who study both art and science, and also study math will be:
= 100% - 20%
= 80%
Therefore, at least 80% study the subjects.
Learn more about proof on:
brainly.com/question/1788884
#SPJ1
HELP !! Which of the following points lies on the graph of this equation? y =2x -2
Answer:
A.
Step-by-step explanation:
i'm 99% sure!
Answer:
B
Step-by-step explanation:
Plug in the coordinates.
i’ll give brainliest!!
(last choice is d^2sqrt7e)
Answer:
D (the last choice)
Step-by-step explanation:
Taking the fourth root of each element individually:
49^(1/4) = sqrt(7)
(d^8)^(1/4) = d^2
(e^2)^(1/4) = sqrt(e)
Multiplying them back together:
sqrt(7) * d^2 * sqrt(e) = d^2 * sqrt(7e)
Answer:
The last bubble (that of which is cut from the screen) is simplified.
Step-by-step explanation:
The provided equation is simplified by following these steps:
[tex](49d^{8}e^2)^\frac{1}{4}[/tex]
= [tex](49)^\frac{1}{4}(d)^\frac{8}{4}(e)^\frac{2}{4}[/tex]
[tex](7)^\frac{2}{4}(d)^\frac{8}{4}(e)^\frac{2}{4}[/tex]
=[tex]\sqrt{7} (d^2)(\sqrt{e})[/tex]
Lukas paid for a pair of shoes with a $50 bill. After the clerk added 9% tax to the purchase, Lukas received $17.30 in change. What was the price of the shoes, not including the tax?
Answer:
$29.75
Step-by-step explanation:
If Lukas paid for the shoes with $50, and got $17.30 back, the total price of the shoes with the tax was $32.70. Because we are trying to find the price of the shoes without the 9% tax, we calculate what 91% of 32.70 is, which is $29.757
For 3, 5, Are the triangles similar? If so, state the similarity and the postulate or theorem that justifies your answer.
Help with these two problems and show work please having trouble solving them !
Answer:
see explanation
Step-by-step explanation:
to find the zeros let f(x) = 0
1
f(x) = 0 , that is
x(x + 10) = 0
equate each factor to zero and solve for x
x = 0
x + 10 = 0 ⇒ x = - 10
2
f(x) = 0 , that is
x(x - 3) - 4(x - 3) = 0 ← factor out (x - 3) from each term on the left side
(x - 3)(x - 4) = 0
equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x - 4 = 0 ⇒ x = 4
Answer:
1) x₁ = 0, x₂ = -10
2) x₁ = 3, x₂ = 4
Step-by-step explanation:
Given functions:
[tex]1)\ f(x)=x(x+10)[/tex]
[tex]2)\ f(x)=x(x-3)-4(x-3)[/tex]
.................................................................................................................................................
Zero Product Property: If m • n = 0, then m = 0 or n = 0.
Distributive Property: a(b + c) = ab + ac.
Standard Form of a Quadratic: ax² + bx + c = 0.
.................................................................................................................................................
The Zero Product Property
1) f(x) = x(x + 10)
Step 1: Set the function to zero.
[tex]\implies 0=x(x+10)[/tex]
Step 2: Apply the Zero Product Property.
[tex]\boxed{x_1=0}[/tex]
[tex]x+10=0\implies \boxed{x_2=-10}[/tex]
The solutions to this quadratic are: [tex]x_1=0,\ x_2=-10[/tex].
.................................................................................................................................................
The Zero Product Property
2. f(x) = x(x - 3) - 4(x - 3)
Step 1: Set the function to zero.
[tex]\implies 0 = x(x - 3) - 4(x - 3)[/tex]
Step 2: Factor out [tex]x- 3[/tex].
[tex]\implies 0 = (x - 3)(x - 4)[/tex]
Step 3: Apply the Zero Product Property.
[tex]x-3=0\implies \boxed{x_1=3}[/tex]
[tex]x-4=0 \implies \boxed{x_2=4}[/tex]
The solutions to this quadratic are: [tex]x_1=3,\ x_2=4[/tex].
.................................................................................................................................................
Learn more about quadratic functions here:
brainly.com/question/27638369
A college's basketball team will play 33 games next winter. Each game can result in one of 2 outcomes: a win or a loss. Find the total possible number of outcomes for the season record.
The total possible number of outcomes for the season record is [tex]2^{33}[/tex].
What is an outcome?An event that may be given a mathematical probability is known as an outcome in mathematics (an outcome of an experiment). The amount of potential outcomes for a particular experiment determines the probability assigned to each result.The result of an experiment is a number of outcomes.
According to the question,
The basketball team at a college will play 33 games next winter. There are only two possible outcomes for each game: a win or a loss.
So, the total number of possible outcomes for the season record=[tex]2^{33}[/tex].
Learn more about outcomes here:
https://brainly.com/question/25688842
#SPJ4
not sure how to figure this out, help please
The second bus is traveling at a speed of 33.3 miles per hour.
Given that the speed of first bus is 60 miles per hour , distance between both the buses is 700 miles after 8 hour.
We are required to find the speed of second car which is heading towards south.
If first car is travelling at a speed of 60 miles per hour then the distance of first car after 8 hours is 60*8=480 miles.
We have been given that the distance between both the cars after 8 hours is 700 miles,So,
Distance of second car after 8 hours=700-480=220 miles.
We know that the speed is equal to distance divided by time.
We know that we have calculated distance after 8 hours so the speed of second car will be =20/6
=33.3 miles per hour
Hence the speed of second car which is heading towards south is 33.3 miles per hour.
Learn more about speed at https://brainly.com/question/4931057
#SPJ1
A triangle has two sides of lengths 6 and 9
the third side be?
Check all that
What value
apply.
could the length of
Answer:
A, C, E, F
Step-by-step explanation:
since nothing else was said, it is a general triangle. nothing special about it.
so, the only rules are that the sum of any pair of sides must be longer than the 3rd side (otherwise, if the 3rd side is longer, the sides could not connect).
A. 10.
so, we have
6 + 9 > 10 true
6 + 10 > 9 true
9 + 10 > 6 true
therefore this is a possible 3rd side.
B. 2.
so, we have
6 + 9 > 2 true
6 + 2 > 9 false
9 + 2 > 6 true
therefore this is NOT a possible 3rd side.
C. 4.
so, we have
6 + 9 > 4 true
6 + 4 > 9 true
9 + 4 > 6 true
therefore this is a possible 3rd side.
D. 15.
so, we have
6 + 9 > 15 false
6 + 15 > 9 true
9 + 15 > 6 true
therefore this is NOT a possible 3rd side (this triangle is a special case as 6+9 = 15 : it can only exist as a completely flat line and is therefore not a triangle).
E. 12.
so, we have
6 + 9 > 12 true
6 + 12 > 9 true
9 + 12 > 6 true
therefore this is a possible 3rd side.
F. 7.
so, we have
6 + 9 > 7 true
6 + 7 > 9 true
9 + 7 > 6 true
therefore this is a possible 3rd side.
which facts are true for the graph of the function below check all that apply F(x)=log6x
Based on the graph of the function (F(x) = log6x), the following facts are true:
It is increasing. The x-intercept is (1, 0). What is a graph?A graph is a type of chart that is used to graphically represent data on both the horizontal and vertical lines of a Cartesian coordinate i.e x-axis and y-axis.
By critically observing the graph of the function (F(x) = log6x) attached in the image below, we can infer and logically deduce that its domain and range include all real numbers that are greater than 0 (x > 0).
This ultimately implies that, the following facts are true:
It is increasing. The x-intercept is (1, 0).Read more on graphs here: brainly.com/question/25875680
#SPJ1
Complete Question:
Which facts are true for the graph of the function below? Check all that apply. F(x) = log6 x
A. It is increasing.
B. The range is y > 0.
C. The x-intercept is (1, 0).
D. It is decreasing.
E. The y-intercept is (0, 6).
F. The domain is x > 6.