100 POINTS !!! Find the axis of symmetry and the vertex of the graph of y = 6x2 − 24x + 11. x = 2; (2, −13) x = 4; (4, 11) x = −2; (−2, 83) x = −4; (−4, −11)
Answers
Let's see
[tex]\\ \rm\rightarrowtail y=6x^2-25x+11[/tex]
Graph attached
vertex(-2,-13)Axis of symmetry
x=-2
Answer:
axis of symmetry: x = 2
vertex: (-2, 13)
Step-by-step explanation:
Given function
[tex]\sf y=6x^2-24x+11[/tex]
Vertex form
[tex]\sf y=a(x-h)^2+k[/tex]
where (h, k) is the vertex
Expand vertex form:
[tex]\sf \implies y=ax^2-2ahx+ah^2+k[/tex]
Compare coefficients of expanded vertex form with given function:
coefficient of [tex]\sf x^2[/tex]:
⇒ a = 6
coefficient of [tex]\sf x[/tex]:
⇒ -2ah = -24
⇒ ah = 12
⇒ 6h = 12
⇒ h = 2
constant:
⇒ [tex]\sf ah^2+k=11[/tex]
⇒ [tex]\sf 6 \cdot 2^2+k=11[/tex]
⇒ [tex]\sf 24+k=11[/tex]
⇒ [tex]\sf k=-13[/tex]
Vertex
Vertex = (2, -13)
Axis of symmetry
Axis of symmetry is when x = h
Therefore, axis of symmetry is x = 2
Related Questions
The lines represented by the equations y x = 2 and y = x
2 are
Answers
Answer: Parallel
Step-by-step explanation:
y = -3x + 13
y = -x + 1
solve by substitution
Answers
Answer:
x = 6
y = -5
Explanation:
y = -3x + 13 y = -x + 1substitute each of the following,
-3x + 13 = -x + 1
-3x + x = 1 - 13
-2x = -12
x = 6
Find y,
y = -x + 1
y = -6 + 1
y = -5
Step-by-step explanation:
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How can data displays be used to compare two sets of data? Select all that apply. They quickly illustrate measures of center. They quickly illustrate measures of center. They identify all the data points in each data set. They identify all the data points in each data set. They show trends in data that can be compared. They show trends in data that can be compared. They display measures of variability for each data set. They display measures of variability for each data set. They easily show the mean of each data set.
Answers
Answer:
Step-by-step explanation:
A and C Step-by-step explanation:I would go for A and C options which best describes the use of data displays for the comparison of two data sets.Data Display is basically displaying of useful data which has been extracted from bundles of raw data or raw data points. That useful data can be used to compare two different datasets as well. So, in option A, It says that it quickly illustrate measures of centre. True, because it presents you quick display so that everyone seeing the data in form of charts or tables easily catch the information to be conveyed. And in option C, It says, they show trends in data that can be compared. Yes again true. Data displays show you trends of different things in one clear picture and it can be compared with other datasets through the use of data displays. Still stuck? Get 1-on-1 help from an expert tutor now.
What is the correct answer for this?
Answers
Answer:
55.5 cubic yards
Step-by-step explanation:
Here,
Length ( l ) = 5 yd
Base ( b ) = 3.7 yd
Height ( h ) = 3 yd
To find : Volume
This shape is a cuboild.
Formula : -
Volume of cuboild = lbh
Volume of cuboild
= 3 x 5 x 3.7
= 55.5 cubic yards
[tex] \huge\fbox\orange{ANSWER} [/tex]
[tex] \mathsf \purple{v = l \times w \times h}[/tex]
[tex] \mathsf \pink{v = 5 \times 3.7 \times 3}[/tex]
[tex] \mathsf \purple{v = 55.5 {yd}^{3} }[/tex]
55.5 cubic yards
A city has a population of 360,000 people. Suppose that each year the population grows by 3.75% What will the population be after 11 years?
Answers
Answer:
508,000 in 11 years
Step-by-step explanation:
3.75% of 360,000 is 13500
So every year the population grows 13500 people
13500 * 11 = 148,500
148,500+360,000=508,000
So in 11 years the population would be 508,000
The solid below is dilated by a scale factor of 3. Find the volume of the solid created
upon
dilation.
Answers
The volume of the solid created upon dilation bythe scale factor of 3 is 5832 units³.
What is the volume of the dilated solid?An image is dilated if the dimensions of the image is resized in a way that does not change the shape of the image. When an image is dilated, it is made larger.
Dimensions of the dilataed solid = 6 x 3 = 18
Volume = 18³ = 5832 units³
To learn more about dilation, please check: brainly.com/question/3457976
Evaluate f(2) for the function f(x)=5(x-3)+17
Answers
Hello!
Plug in the value of x:
f(x)=5(x-3)+17
f of x is 5 times the difference of x and 3 plus 17
plug in 2:
f of 2 is 5 times the difference of 2 and 3 plus 17
f(2)=5(2-3)+17
f(2)=5(-1)+17
f(2)=-5+17
f(2)=12
[tex]\huge\boxed{\mathfrak{Answer:{\boxed{\rm{f(2)=12\star\star}}}}}[/tex]
Hope everything's clear.
Let me know if you have any questions!
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[tex]\boxed{An~Emotional~Helper!} :-)[/tex]
Triangle ABC has side lengths AB=25 units, BC=24 units, and AC=7 units. Triangle ABC is mapped to triangle A′B′C′ by a reflection across a horizontal line and translated left 12 units. What is the length of segment B′C′?
Answers
Answer:
C
Step-by-step explanation:
because yes so the 25 unit down 12 units up
Which equation represents the line that passes through the point (-2,5) and has a slope of - 3
Answers
Answer: Answer:
A. is your answer
When using the Slope Method, your answer is y - 5 = 4(x - 2).
Feel free to give brainliest.
Have a great day everyone!
The slope equation is y=mx + b or point slope equation is y1-y=m(x1-x)
If you already have a point, using point slope form would be way faster and easier.
Point (-2,5) slope of -3
Plug into equation of y-y1=m(x1-x)
y - 5 = -3(-2- x) then add the 5 to the right side of the equation then your answer will be
y= -3(-2-x) + 5
What is m∠P?
There is a five sided polygon PQRST in which the measure of angle PQR is 132 degrees, the measure of angle QRS is (4x-10) degrees, the measure of angle RST is (5x-11) degrees, the measure of angle STP is 128 degrees and the measure of angle TPQ is (4x+2) degrees.
m∠P =
°
Answers
Answer: 94 degrees
Step-by-step explanation:
Which shows the Identity Property?
A. 2 +7=7 +2
B. 4 + 0 = 4
C. 6+ (4 + 8) = (6 + 8) + 4
Answers
Answer:
B shows the Identity Property.
Step-by-step explanation:
x+0=x
Adi drew a circle with a radius of 10 cm. What is the area of the circle? Use 3. 14 for pi
Answers
Answer:
314
Step-by-step explanation:
This is because the area is r^2*3.14
The half-life of a radioactive substance is the time it takes for a quantity of the substance to decay to half of the initial amount. The half-life of the radioactive gas radon is approximately 2.8 days. The initial amount of radon used in an experiment is 74 grams. If N represents the number of grams of radon remaining t days after the start of the experiment,
Answers
Answer:
N = 74(1/2)^(t/2.8)
Step-by-step explanation:
The exponential function expressing a half-life relation can be written ...
amount = (initial amount) × (1/2)^(t/(half-life))
For the numbers given in this problem, this is ...
N = 74(1/2)^(t/2.8)
__
Some folks like to express these relations in the form ...
N = 74e^(-kt)
In this form, the value of k is ...
k = ln(2)/(half-life) ≈ 0.693147/2.8 ≈ 0.24755
N = 74e^(-0.24755t)
Sylvie needs $110 for a concert ticket. She already has $16 and she can earn the rest by working 10 hours at her job. If h represents her hourly earnings, which of the following equations can be solved to find Sylvie’s hourly earnings? Select all that apply.
A. 110 – 16 = 10h
B. 110 = 16h + 10
C. 16 = 110 – h
D. 110 = 16 + 10h
E. 110 + 16 = 10h
Answers
Answer:
The correct answers are:
A.) 110 - 16 = 10h
B.) 110 = 16h + 10
Step-by-step explanation:
Sylvie needs $110 for a concert ticket and already has $16 in her pocket. She can make up the difference by working an additional 10 hours at her job.
To earn the $110 required for the concert ticket, she'll need to work 10 hours in addition to the $16 she already has.
As a result, the following calculation can be used to calculate her hourly rate:
110 = 16 + 10h
110 - 16 = 10h
I hope this helps! ^-^
Last year 950 people attended a town’s annual parade. This year 1,520 people attended. What was the percent increase in attendance from last year to this year?
Answers
Answer: 60% increase
Step-by-step explanation:
First, find how many more people attended this year: 1,520 - 950 = 570.
Now, find what percent of 950 570 is: 950 * x = 570 → x = .6 * 100 = 60% :)
Assuming that k is a nonnegative integer and m = 2k, what value is returned as a result of the call mystery (m) ?
Answers
The result of the recursive function mystery (m) is k.
How to analyze a recursive algorithm
In computer science, functions are collections of code that can be used and re-utilised in greater codes. Functions are formed by inputs, a procedure and an output.
In this question we must analyze a recursive function, recursive functions are functions that creates a loop with the function itself, that is, the function uses itself as an output, until desired output is done.
After performing desktop testing, we conclude that the result of the recursive function mystery (m) is k. [tex]\blacksquare[/tex]
RemarkThis is a Computer Science problem, whose complete statement is described below:
Consider the following recursive method:
public static int mystery (int n)
{
if (n <= 1)
{
return 0;
}
else
{
return 1 + mystery(n/2);
}
}
Assuming that k is a nonnegative integer and m = 2ⁿ, what value is returned as a result of the call mystery (m)?
To learn more on recursive functions, we kindly invite to check this verified question: https://brainly.com/question/25762866
The result of the recursive function mystery (m) is k.
How to analyze a recursive algorithm?In computer science, functions are collections of code that can be used and re-utilized in greater codes. Functions are formed by inputs, a procedure, and an output.
In this question we must analyze a recursive function, recursive functions are functions that create a loop with the function itself, that is, the function uses itself as an output until the desired output is done.
After performing desktop testing, we conclude that the result of the recursive function mystery (m) is k.
Consider the following recursive method:
public static int mystery (int n)
{
if (n <= 1)
{
return 0;
}
else
{
return 1 + mystery(n/2);
}
}
Hence, the result of the recursive function mystery (m) is k.
To learn more about recursive functions; brainly.com/question/25762866
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Using the side-splitter theorem, which segment length would complete the proportion? startfraction g h over h e endfraction = startfraction question mark over j f endfraction gf jh gj ef
Answers
The ratio of gh over he is equal to the ratio of gj over jf. Then the correct option is C.
What is the triangle?Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.
We know that the side-splitter theorem states that two triangles are similar if their corresponding angle is equal and the ratio of the corresponding will be the same.
[tex]\rm \dfrac{gh}{he} = \dfrac{gj}{jh}[/tex]
More about the triangle link is given below.
https://brainly.com/question/25813512
Answer:
Answer C. GJ
Step-by-step explanation:
got it right on 2023 edge
image below ill give branliest
Answers
Answer:
E= -4,5
F=3,-2
Step-by-step explanation:
i think that's correct sorry if not
what is the doamin of the function f(x)=x+1/x²-6x+8
Answers
Answer:
Step-by-step explanation:
(x+1) = domain = all real #s
(x²-6x-8)⇒ (x-4)(x-2)= x≠ 2,4
Because you can not have a zero in the denominator, x≠2,4
so your domain is (-∞,2)∪(2,4)∪(4,∞)
does anyone know how many feet this is if i do it is 1,474 x 829 just make it into a small number
Answers
Answer:
101828.833333
Step-by-step explanation:
you have to multiply the two numbers then divide by 12
The ratio of green marbles to yellow marbles is
4 green marbles to 6 yellow marbles.
If there are 2 green marbles,
how many yellow marbles are there?
Answers
Answer:
There are three yellow marbles.
Step-by-step explanation:
The way i figure it is since they are both even numbers divide them both by two and you have your answer.
To determine the age of fossils, scientists use radiometric dating. This involves measuring quantities of certain radioactive isotopes and using mathematical equations to compare the amounts of each isotope present.
Suppose a scientist dates a piece of petrified wood and calculates that it is approximately 23,881,392.3102 years old. The petrified wood is later displayed in a museum.
What is the most reasonable way for the museum tour guide to describe the age of the wood to museum visitors?
(A): 2.3881×107 years old
(B): 24 million years old
(C): 23.8813923102 mega years old
(D): 23 billion years old
Answers
Answer:
B 24 million years old
Step-by-step explanation:
i did this quiz a long time ago tho so it might be B or D
George bought a 3-pound bag of potatoes and a 32-ounce bag of carrots. How many pounds of vegetables did George buy?
A) 3 pounds
B) 5 pounds
C) 6 pounds
D) 8 pounds
Answers
Answer:
5
Step-by-step explanation:
1 pound = 16 ounces
32/16 = 2
2 + 3 = 5
So therefore he bought 5 pounds of vegetables.
Given the function h of x equals 3 times the square root of x, which statement is true about h(x)?
The function is decreasing on the interval (–∞, 0).
The function is increasing on the interval (–∞, 0).
The function is decreasing on the interval (0, ∞).
The function is
Answers
The true statement about h(x) is: The function is increasing on the interval [0, ∞).
Linear FunctionA linear function can be represented by a line. The standard form for this equation is: ax+b , for example, y=2x+7. Where:
a= the slope.If:
a> 0 , the function is increasing;
a< 0 , the function is decreasing;
b=the constant term that represents the y-intercept.
Domain and RangeThe domain of a function is the set of input values for which the function is real and defined. In other words, when you define the domain, you are indicating for which values x the function is real and defined.
While the domain is related to the values of x, the range is related to the possible values of y that the function can have.
You should convert the text of the question into a math expression.
[tex]h(x)=3*\sqrt{x}[/tex]
Like the coefficient a is greater than zero (a>0), the function is increasing.
The equation has a square root, so, the values of x can not present negative values. Therefore, x≥0. Consequently, the values of y (range) for this function will be greater than or equal to zero (y≥0). See the attached image.
The range is:
[tex]{Solution:}\:&\:f\left(x\right)\ge \:0\:\\Notation:}&\:[0,\:\infty \:)\end{bmatrix}[/tex]
Learn more about the range and the domain here:
brainly.com/question/10197594
Please help! will give brainlest!
Answers
Answer:
Option 2 hope it helps pls mark as the brainliest
which shape is a trapeziod with only 1 pair of parallel sides
Answers
Answer: A Quadrilateral is a trapeziod with only 1 pair of parallel sides.
Hope this helps!
Answer:
The trapezoid itself, including quadrilaterals.
Trapezoids have 1 pair of parallel sides. See picture below.
i need help with 7 and 8 explanations and show work for solving?
Answers
Answer:
ang ganda noh
Step-by-step explanation:
sorry di ko po alam yung sagot
Write each expression without the absolute value symbol |3x+12|
Answers
Answer:
Step-by-step explanation:
|3x+12|
one is as it is one is the negative value of it
3x + 12 - (3x + 12)
- 3x - 12
That is because both negative and positive values put in am absolute value become positive.
The value of the absolute value function is given by the expressions A and B where A = 3x + 12 and B = - ( 3x + 12 )
What is Modulus Function?Regardless of the sign, a modulus function returns the magnitude of a number. The absolute value function is another name for it.
It always gives a non-negative value of any number or variable. Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → (0,∞) and x ∈ R.
The value of the modulus function is always non-negative. If f(x) is a modulus function , then we have:
If x is positive, then f(x) = x
If x = 0, then f(x) = 0
If x < 0, then f(x) = -x
Given data ,
Let the modulus function be represented as M
Now , the value of M is
M = | 3x + 12 | be equation (1)
The absolute value function is defined as
If x is positive, then f(x) = x
If x = 0, then f(x) = 0
If x < 0, then f(x) = -x
So , the two expressions are
A = 3x + 12 and
B = - ( 3x + 12 )
Hence , the absolute value functions are solved
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2x+5=12 pleas and thank you :D
Answers
12-5=2x
2x=7
X=3.5
Answer:
x= 7/2
Step-by-step explanation:
move the constant 2x+5=12 to make it 2x=12-5.
subtract 12-5= 7
2x=7 divide both sides
x=7/2
i did try my best hope this helps :)
Michele's credit card had a balance of $579. 53 on August 1. On August 8, she made a payment of $500. On August 16, she made a charge of $200. On August 24, she made another charge of $350. What was her average daily balance?
Answers
By taking the average of her balance of each day of August, we will see that the average daily balance is $373.08
What was her average daily balance?
We know that:
On August 1, her balance was $579.53On August 8, her balance was $579.53 - $500 = $79.53On August 16, her balance was $79.53 + $200 = $279.53On August 24, her balance was $279.53 + $300 = $579.53So, first, her balance is $579.53 for 7 days. Then her balance is $79.53 for 8 days, then her balance was $279.53 for another 8 days, and finally, her balance was $579.53 for the last 8 days of august.
Then over the 31 days of August, the average daily balance will be:
[tex]A = \frac{7*579.53 + 8*79.53 + 8*279.53 + 8*579.53}{31} = 373.08[/tex]
So in August, her average daily balance was $373.08
If you want to learn more about averages, you can read:
https://brainly.com/question/20118982