The function f(x) = –3x2 + 36x – 119 written in vertex form is f(x) = –3(x – 6)2 – 11. Which statements are true about the graph of f(x)? Select three options.
The axis of symmetry is the line x = 6.
The vertex of the graph is at (–6, –11).
The parabola has a minimum.
The parabola opens down.
The value of h, when the equation is written in vertex form, is positive.
Answers
Answer:
A D and E
Step-by-step explanation:
The statements true about the graph of the function are
a) The axis of symmetry is the line x = 6
b) The parabola opens down
c) The vertex of the graph is at (-6, -11)
What is Equation of Graph of Polynomials?Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.
Identify the even and odd multiplicities of the polynomial functions' zeros.
Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.
The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) = -3x² + 36x - 119
And , the vertex form of the function is
f ( x ) = -3 ( x - 6 )² - 11
Now , The axis of symmetry is the line x = 6. This is true because in vertex form, the equation of the axis of symmetry is given by x = h, where (h, k) is the vertex of the parabola. In this case, the vertex is (6, -11), so the axis of symmetry is x = 6.
The parabola has a minimum. This is also true because the coefficient of the x² term in the given equation is negative (-3), which means the parabola opens downward and has a minimum at the vertex.
Hence , the graph of the polynomial is solved
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Related Questions
The probability Bob guesses the winner of a certain baseball game is 4/5. The probability Joe independently guesses the winner of another game is 1/3. What is the probability that exactly one of them selects the winner? (Fraction answer)
Answers
SANA ALL SMART HAHAHAHHAAHHAHAAHA
what’s the answer? (picture)
Answers
4. The Bulldog Theater charges $9.10 for each adult ticket and $7.75 for each student ticket. Mrs. Williams purchased 7 tickets (some students and some adult) for $56.95. Which system of equations could be used to find a, the number of adult tickets, and s, the number of student tickets purchased?
Answers
Answer:
Two adult tickets and 5 student tickets
Step-by-step explanation:
Let a=adult tickets Let s=student tickets
You know that each adult ticket is $9.10 and each student ticket cost $7.75. At the end, it cost $56.95 for both students and adults so the first equation should be 9.10a+7.75s=56.95. To get the second equation, you know that Mrs. Williams purchased 7 tickets in total that were both students and adults. Therefore, the second equation should be a+s=7. The two equations are 9.10a+7.75s=56.95
a+s=7.
Now, use substitution to solve this. I will isolate s from this equation so the new equation should be s=-a+7. Plug in this equation to the other equation, it will look like this 9.10a+7.75(-a+7)=56.95. Simplify this to get 9.10a-7.75a+54.25=56.95. Simplify this again and the equation will become 1.35a=2.70. Then divide 1.35 by each side to get a=2. This Mrs. Williams bought two adult tickets. Plug in 2 into a+s=7, it will look like this (2)+s=7. Simplify this and get s=5. This means Mrs. Williams bought five adult tickets. Therefore she bought 2 adult tickets and 5 student tickets.
Hope this helps
Marcus mows lawns for his summer job. He earns $15 per lawn. If he earned $75 dollars during the week, how many lawns did he mow?
Answers
Explanation: 75 divided by 15 = 5
If x=7 then which answers would I circle? A. X + 7 = 17 b. 7 = 17 - x c. 70 = 10x d. X/35 = 5 e. 15x = 105
Answers
Answer:
C. 70 = 10x
E. 15x = 105
Step-by-step explanation:
x = 7
Using method of elimination;
A. X + 7 = 17
Substituting the value of x;
7 + 7 ≠ 17 (Incorrect option)
B. 7 = 17 - x
Substituting the value of x;
7 ≠ 17 - 7 (Incorrect option)
C. 70 = 10x
Substituting the value of x;
70 = 10 * 7 (Correct option)
D. X/35 = 5
Substituting the value of x;
7 / 35 ≠ 5 (Incorrect option)
E. 15x = 105
Substituting the value of x;
15 * 7 = 105 (Correct option)
Hester sells televisions. She earns a fixed amount for each television and an additional $15 if the buyer gets an extended warranty. If Hester sells 15 televisions with extended warranties, she earns $1,275. How much is the fixed amount Hester earns for each television?
Answers
Answer: [tex]\$ 70[/tex]
Step-by-step explanation:
Given
Hester get a fixed amount and an additional $15 for an extended warranty
Suppose x is the amount of fixed amount
for 15 television sale, the price is $1275
Thus, we can write
[tex]\Rightarrow 15(x+15)=1275\\\Rightarrow x+15=85\\\Rightarrow x=\$70[/tex]
Therefore, the fixed amount of television is [tex]\$70[/tex]
Write an expression for the operation described below. r times 10
Answers
Answer:
r * 10
Step-by-step explanation:
* stands for multiplying.
Translate five units left and four units down (geometry)
Answers
Answer:
Step-by-step explanation:
A loan requires that the 4% interest be compounded monthly for five years find the number of compounding periods
Answers
Answer:
60 compounding periods
Step-by-step explanation:
The proper formula for compound interest is A = P(1 + r/n)^(nt), where r is the interest rate as a decimal fraction, n is the number of times that interest is compounded in 1 year, and t is the number of years.
In this problem, we don't need to calculate the Amount, but only the number of compounding periods. That is nt, which here is 12*5, or 60.
If a train goes 20 km east then it turns and travels 43 km north then it goes 20 km west then travels south in an unknown number of kilometers and at the end there back in the original location how far did the train travel south
Answers
Answer:
Answer is 43 km.
Step-by-step explanation:
Let's draw diagram to solve the problem.
Is the graph a linear function, no name and function, or relation (non-functioning)?
Answers
Answer:
no name and function
Step-by-step explanation:
question number four pls help I will mark brainiest
Answers
A hose fills a 10,000-gallon swimming pool at a rate of 10 gallons per minute. what is the domain and range?
Answers
Answer:
Domain: 0 minutes to time it takes to fill. Range: 0 to a 10,000 gallons
Step-by-step explanation:
The domain will be from 0 minutes to time it takes to fill i.e., 1000 and range will be from 0 to 10000 gallons.
It is given that a hose fills 10000 gallon swimming pool at rate of 10 gallons per minute.
We have to find the domain and range.
What do you mean by domain and range ?
The domain is the set of all values for which the function is defined and the range of the function is the set of all values that function takes.
As per the question ;
Capacity of swimming pool = 10000 gallons
Rate of filling = 10 gallons per minute
So ;
Time taken in filling the swimming pool will be ;
= 10000 / 10
= 1000 minutes
So ;
The domain will be from 0 to 1000 minutes i.e., time taken to fill the swimming pool.
Whereas ;
The range will be from 0 to 10000 gallons i.e., amount of swimming pool filled.
Thus , the domain will be from 0 minutes to time it takes to fill i.e., 1000 and range will be from 0 to 10000 gallons.
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YOOOOOOOO A MILLION POINTS FOR EVA DOES THIS :POG:
Answers
Answer:
∆WUV⁓∆SRT
Step-by-step explanation:
The Smiths want to fence their square garden, which has an area of 289 square feet. What would be the minimum amount of fencing needed to complete the project? A) 68 feet of fencing B) 17 square feet of fencing C) 289 feet of fencing D) 17 feet of fencing
Answers
Answer:
68 feets of fencing
Step-by-step explanation:
Given that:
Area of square garden = 289 ft²
The side length of square garden can be obtained thus :
Area of a square = s²
Where s = side length
s² = 289
s = sqrt(289)
s = 17
Perimeter of square garden : 4s
Perimeter = 4* 17 = 68 feets
If x = 2 and y = 6 , evaluate the following expression: 2 ( x + y )
Answers
Answer:
Step-by-step explanation:
If x = 2 and y =6
Then
2 ( x+ y)
= 2 ( 2 + 6)
= 2 * 8
= 16
hope it helps :)
Answer:
16
Step-by-step explanation:
you will do 2 + 6 = 8
so it = 8
x=2
y=6
and than u will 8 x 2 = 16
the answer is = 16
What does the point (2, 12) represent?
Answers
Answer:
That a sloth will walk 12 feet in 2 minutes
Step-by-step explanation:
Which ordered pair is a solution of y = x - 4?
A: (3,-7)
B: (-3,-7)
C: (3,7)
D: (-3,7)
Answers
Answer:
The correct answer is (-3,-7). This is because you can plug it in and the two sides are equal to each other. When you plug -3 in for x, you subtract for from it and get -7 since the y term is -7 the answer is -7=-7, thus (-3, -7) is the answer.
Step-by-step explanation:
Hope this helps :)
Watch rep
Jayden invested $1,500 in an account in the year 2005, and the value has been
growing exponentially at a constant rate. The value of the account reached $1, 800 in
the year 2011. Determine the value of the account, to the nearest dollar, in the year
2019.
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Answers
Something happened when you copy and pasted the question, was it important to the question?
csc pi/3 exact value ?
Answers
Answer:
Exact Form:
2√3/3
Decimal Form:
1.15470053
Step-by-step explanation:
Multiply
2√3
and
√3√3.2√3√
3
√
3
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√
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√
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3
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Tap for fewer steps...
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√
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as
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2
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2
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2
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the three steps shown below were used to find an expression equivalent
Answers
Answer:
You forgot to fully write the question
Step-by-step explanation:
(灬 º‿º 灬) ♡
Draw the graph of the equation
g(x) = -3x +2.
You can refer to the section "Drawing Graphs in Mobius" in the unit "Introduction to
Mobius" for
practice in drawing graphs of lines in Mobius.
Part a: Find one point on the line. Often it's smart to start with the value x = 0 because multiplying by
and adding 0 are easy. In other words, find the y-intercept.
The point (0, Number ) is on the line g(x) = -3x + 2.
Part b: Find a second point on the line. Often it's easier to continue with the value x = 1 as multiplying
by and adding 1 are pretty easy.
The point (1, Number ) is on the line g(x) = -3x +2.
Answers
Use DESMOS to graph any function online.
The picture shows the graph of g(x) = -3x + 2.
Karla has spent $39 on food. She bought milk, cheese, and meat. The milk cost half as much as the cheese and the meat cost four times as much as the cheese. Which equation would help you find the cost of the cheese?
Let c = the amount spent on cheese
Click on the correct answer:
1)C+ 4c/5c=39
2)C+2c + 4c = 39
3)C+.5c + 4c = 39
4)C(.5c+ 4c) = 39
This is part of "Using Linear Equations to Solve Problems:Application" on Edmentum.
Answers
Answer:
i think the answer is 3)C+.5c + 4c = 39
Step-by-step explanation:
Double question help plz solve with more points
Answers
Subtract 11/14-2/7?Make sure your answer is fully reduced.
Answers
Answer:
1/2
Step-by-step explanation:
turn 2/7 into 4/14 then subtract that from 11/14 and you get 7/14 and the also can go as 1/2
I need help finding the period of this sine graph
Answers
Answer:
10
Step-by-step explanation:
from -5 to 5 is a complete period. So the period is 10.
Is it possible to use dynamic geometry software to draw a triangle with
angles of 50°, 65°, and 70°? Explain.
Answers
Answer:
no
Step-by-step explanation:
The sum of the angles of a triangle must be equal to 180
50+65+70
185
This is not equal to 180 so it does not make a triangle
What is the volume of the rectangular prism below? Use the formula V = lwh. 4 ft 4 ft 8 ft
Answers
Answer:
V=128
Step-by-step explanation:
Answer:
V =128ft^3
Step-by-step explanation:
V=lwh=4*4*8=128
So my teacher gave me this super hard problem that i could't answer...its 999999999999x99999999999+9 billion can yall help me
Answers
Answer:
10^22
Step-by-step explanation:
Answer:
sure is = 9023000000
Step-by-step explanation:
n-10+9n-3 step by step
Answers
Answer:
10n−13
Step-by-step explanation:
Let's simplify step-by-step.
n−10+9n−3
=n+−10+9n+−3
Combine Like Terms:
=n+−10+9n+−3
=(n+9n)+(−10+−3)
=10n+−13