3. The graph of F(x), shown below,
resembles the graph of G(X)=x2, but
it has been changed somewhat.
Which of the following could be the
equation of F(x)?
1
16
FOX0 = ?
G00= x
5
Answer Choices:
F(X)=-X²+2
F(x)= 3x2 +2
F(x)=2x2 - 2
F(x) = (2x + 2)2
The equation of f(x) from the graph if, G(x) = x², is F(x) = 2x² + 3, so option A is correct.
What is a graph?A graph is a structure made up of a collection of things, where some object pairs are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.
here, we have,
Given:
G(x) = x²,
As you can see from the graph, the vertex of the parabola is (0, 3),
Write the equation of a parabola as shown below,
y = a(x - 0)² + 3
y = ax² + 3
Here a is the slope of the parabola,
slope = 4 / 2 (from the graph),
slope = 2
Thus, the equation will be,
y = 2x² + 3 or F(x) = 2x² + 3
To know more about Graph:
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A group fitness gym classifies its fitness class attendees by class type and member status. The marketing team has gathered data from a random month, in which there were 2333 class attendees. The data is summarized in the table below. Class Type and Member Status of Class Attendees Class Type Member Non-Member Barre 157 232 Boot Camp 259 258 Boxing 282 215 Spinning 161 235 Yoga 271 263
The likelihood that a class attendee is a non-member of the gym taking a barre class or a member of the gym taking a boot camp class is 0.009.
What is the probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
The marketing team has gathered data from a random month, in which there were 2039 class attendees.
The probability that a class attendee is a non-member of the gym and is attending a barre class
= 185/2039
= 0.09
The probability that a class attendee is a member of the gym and is attending a boot camp class
= 204/2039
= 0.10004
The probability for both the event would be
= 0.09 x 0.10004
= 0.009
The complete question is attached with the answer below.
Learn more about probability here;
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(10 points!!!) AND I’LL MAKE YOU BRAINLEST
I ALREADY KNOW THE ANSWER I JUST WANT THE EXPLANATION!!
The answer is ( Jose, $901.31 more)
Janell deposits $2,000 and for 5 years leaves it in an account earning 3% annual interest, compounded quarterly. For 5 years, José saves and deposits $150 per quarter in an account earning 3% interest compounded quarterly. Who will have more money in the account after 5 years? How much more?
Use the table to answer:
Mary’s sister is 7 years older than Mary. Their combined ages add up to 35. How old is Mary
Answer:
Mary - 14
Mary's sister - 21
Step-by-step explanation:
Let x be the age of Mary = x
age of Mary's sister = x + 7
Add up to 35
x + x + 7 = 35
2x = 35 - 7
2x = 28
2x/2 = 28/2
x = 14
Now substitute the value of x
Mary = 14
Mary's sister = 14 + 7 = 21
21 + 14 = 35
Han earns $33.00 for babysitting 4 hours. At this rate, how much will he earn if he babysits for 1 hour?
Answer: $8.25
Step-by-step explanation: 33 divided by 4 (find unit rate)
Answer: $8.25
Step-by-step explanation:
Simply divide $33.00 by 4. 33/4 = 8.25
The length of a rectangle is 10 times its width. If the area of the rectangle is 52yd^2, find its approximate width.
Answer:
76377/9338912
Step-by-step explanation:
Help me with questions please
Answer:
44
Step-by-step explanation:
because you just 22 x 22 and you get 44
Answer:
1520.53mm^2
Step-by-step explanation:
A=πr2
Radius=22mm
A=π·22^2
=1520.53mm^2
Hope this helps :)
1. Describe the location of entry m52 in a matrix called M
Check the picture below.
Triangle XYZ is similar to ABC.
Enter the missing side length.
3
Roy and David both play football for the same team. A football match is 90 minutes long.
In one match, Roy plays for 70% of the 90 minutes and David plays for of the 90 minutes.
Who plays for the longer time and by how many minutes?
Answer:
27 minutes
Step-by-step explanation:
please check the image it has all the steps to solve it . Thank you.
HI is number 12 correct?
i'll be asking a lot of questions because this assignment has like 50 questions
PLEASE ANSWER WITHIN THIS HOUR!
You and your friend decide to have a road trip. If a car travel 280 miles in 7 hours. How far will it travel in 12 hours?
Thank you for your help!!
Answer:
480 miles
Step-by-step explanation:
Well, firstly - no idea, as cars can go slower or faster and there is no indication that this particular car would maintain the exact same avg. speed over 12 hours.
There is no way to solve this otherwise though, so we'll assume the car's speed is constant.
280mi / 7h = 40mph
40mph * 12h = 480mi
In your own words what does pi 7 mean if it’s right I’ll give you brainliest
Answer:
10
Step-by-step explanation:
3/2 (7/3x+1) = 3/2
Show work. (simple if possible)
Giving Brainliest.
Answer:
[tex]7/2x + 3/2 = 3/2 <=> x = 0[/tex]
Step-by-step explanation:
Multiplying polynomials
Steps are in the attachment.
________
Hope it helps :)) ⚜
Clayton Burrington purchased the following school supplies on s
$2.79 notebook for $1.99, a $1.49 ballpoint pen for $0.99, a $1.99 p
notebook paper for $0.99, and a $3.49 automatic pencil for $2.79.
Clayton estimated the total savings to be $7.00. (a) Is the answer
reasonable? (b) If not, what error was made?
Answer:
The answer is not reasonable.
The error that Clayton made was that he accidentally added all of the products that had a saved price tag on it, he did not find the difference between the old price and the new, sales price.
Step-by-step explanation:
Hope this helps :) Mark me brainliest if anyone else answers this question.
Please help! Steps if possible: If n=31, ¯x (x-bar)=41, and s=12, construct a confidence interval at a 90% confidence level. Assume the data came from a normally distributed population.
Give your answers to one decimal place.
decimal place.
________ < μ < _______
Answer: [tex]\boldsymbol{37.5} < \mu < \boldsymbol{44.5}[/tex]
===========================================================
Explanation:
At a 90% confidence level, the z critical value is roughly z = 1.645. Use a reference table or a calculator to determine this. Despite not knowing what sigma is, we can use a z interval here because n > 30. If the sample size n was smaller than 30, then we'd have to use a T distribution instead.
We'll plug that z value, along with the other given values, into the formula for the lower boundary L of the confidence interval.
[tex]L = \text{lower boundary}\\\\L = \overline{x} - z*\frac{s}{\sqrt{n}}\\\\L = 41 - 1.645*\frac{12}{\sqrt{31}}\\\\L = 41 - 3.545\\\\L = 37.455\\\\L = 37.5\\\\[/tex]
This value is approximate.
Do the same for the upper boundary as well
[tex]U = \text{upper boundary}\\\\U = \overline{x} + z*\frac{s}{\sqrt{n}}\\\\U = 41 + 1.645*\frac{12}{\sqrt{31}}\\\\U = 41 + 3.545\\\\U = 44.545\\\\U = 44.5\\\\[/tex]
This value is also approximate.
We have 90% confidence that the population mean [tex]\mu[/tex] (greek letter mu) is somewhere between L = 37.5 and U = 44.5
Therefore, we would write the 90% confidence interval as [tex]\boldsymbol{37.5} < \mu < \boldsymbol{44.5}[/tex]
This is the same as writing the confidence interval in the form [tex](\boldsymbol{37.5} , \boldsymbol{44.5})[/tex]. Both forms are two different ways to say the same thing. The first form being [tex]L < \mu < U[/tex] while the second form is [tex](L,U)[/tex].
Side note: The value 3.545 calculated earlier is the approximate margin of error.
What single transformation was applied to quadrilateral A to get quadrilateral B?
A) translation
B) Rotation
C) Reflection
D) Dilation
Answer:
A) Translation
Step-by-step explanation:
Since the triangle didn't turn at all it isn't rotation.
Since the triangle wasn't flipped over a line it isn't reflection.
Since the size of the triangle wasn't changed it isn't dilation.
That leaves translation.
Graph the system of linear inequalities. Your graph should demonstrate that you're following the instructions below.
Use x- and y- intercepts to graph inequality A.
Use point-slope form to graph inequality B.
A) 3x - 9y > 27
B) (y-3) ≤ -4/3 (x+7)
Show ALL work and EXPLAIN all your steps.
Thank you for helping me understand this.
PLEASE SHOW ME A PICTURE OF THE GRAPHED ANSWERS.
[tex]\\ \sf\longmapsto 3x-9y> 27[/tex]
[tex]\\ \sf\longmapsto x-3y>9---(1)[/tex]
And
[tex]\\ \sf\longmapsto y-3\leqslant -4/3(x+7)[/tex]
[tex]\\ \sf\longmapsto 3y-9\leqslant -4x+28[/tex]
[tex]\\ \sf\longmapsto 3y+4x\leqslant 37--(2)[/tex]
Graph attached
40% of the students in mr. Watsons class speak a second language. If 10 students speak a second language how many students are in mr. Watsons class
Answer:
25 students are in mr. Watsons class.
Step-by-step explanation:
10/40=.25, so 25 students
which is the graph of y -3 equals -2/3 (x + 6)
NO LINKS
Step-by-step explanation:
This is point-slope form:
[tex]y-y1=m(x-x1)[/tex]
in this case:
[tex]y-3=-\frac{2}{3} (x+6)[/tex]
Looking at the structure of point slope form up top, you can find the slope and one point.
[tex]m=-\frac{2}{3} \\x1=-6\\y1=3\\(-6,3)[/tex]
Now, just find the graph with a slope of [tex]-\frac{2}{3}[/tex] that passes through (-6, 3). It's hard to see on the image, but that looks like the top left.
By the way, what's the "no links" thing about? I just came back to this site after a year away
which number line represents the solution of 4x - 9 > - 21?
Answer:4x -9 >= -21
4x >= -12
x >= -12/4
x >= -3
so this number line started with -3 and go away till + infinity
hope this will help you
Answer:
D
Step-by-step explanation: srry if im wrong
Raju has to grow 26 cm more to reach 3 m height. What is Raju's height in metres
Answer:
2.74 m
Step-by-step explanation:
3 m to cm is 300.
Then, 300 cm - 26 cm = 274 cm.
You asked "What is Raju's height in METRES"
So, 274 cm to m is 2.74.
Hope you understand ^^
Answer:
2.74 m
Step-by-step explanation:
Converting centimeter to meter: 26 cm = 0.26 m
3 - 0.26 = 2.74 m
In the equation L = F + B, if F is equal to 6.50 and B is equal to -6.25, then L is equal to
Answer:
L is equal to 0.25.
Do you want me to put an explanation?
Which statement best describes what the volume of an object represents? Volume is the length of an object. Volume is the amount of matter in an object. Volume is the amount of space taken up by an object. Volume is the ability of an object to floa
Answer:
Volume is the amount of space taken up by an object
PLEASE HELP!
Jim wants to build a rectangular parking lot along a busy street but only has 1,800 feet of fencing available. If no fencing is required along the street, find the maximum area of the parking lot.
The largest area would be a square shape.
A square has 4 equal sides:
1800/4 = 450
Now because the street side doesn't have fencing, add that side length to one side of the fencing:
450 +450 = 900
Now the fence would have two widths of 450 feet and one length of 900 feet.
Area = length x width = 450 x 900 = 405,000 square feet.
which inequality has he same solutions as d < -5
Ki has captured many yellow-spotted salamanders. He weighs each and then
counts the number of yellow spots on its back. This trend line is a fit for
these data.
A. parabolic
B. strong
c. weak
D.negative
Answer:
B
Step-by-step explanation:
The P(A) = 0.4 and the P(B) = 0.32. What is P(A and B)? O a. 0.272 b. 0.128 O c.0.08 O d. 0.72
Answer:
b
Step-by-step explanation:
the answer is no.b as P(A)*P(B)
Solve the system. Give answer as
(
x
,
y
,
z
)
2
x
−
2
y
+
4
z
=
0
−
6
x
−
4
y
−
4
z
=
2
−
3
x
−
8
y
+
4
z
=
1
(
x
,
y
,
z
)
=
(
,
,
)
Answer:
howwwwww
Step-by-step explanation:
it's alot going on