Answer:
For the function f(x) = 3(x − 1)2 + 2, identify the vertex, domain, and range
Step-by-step explanation:
The vertex is (1, 2), the domain is all real numbers, and the range is y ≥ 2.
The vertex is (1, 2), the domain is all real numbers, and the range is y ≤ 2.
The vertex is (–1, 2), the domain is all real numbers, and the range is y ≥ 2.
Answer:
see explanation
Step-by-step explanation:
the equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
f(x) = 3(x - 1)² + 2 ← is in vertex form
with vertex = (1, 2 )
The domain of a parabola exists for all real values of x
domain : x ∈ R
the range of the parabola are the values of y from the y- coordinate of the vertex, upwards.
range : y ≥ 2
1. What effect does replacing x with x -4 have on the graph for the function f(x)?
f(x)= |x|-5
A vertical shift of 4 up.
A horizontal shift of 4 to the right.
A vertical shift of 5 down.
A horizontal shift of 4 to the left.
Question 4
Answer: Choice B
A horizontal shift of 4 to the right.
========================================================
Reason:
Replacing x with x-4 basically means we're decreasing each input by 4 units.
What this does is move the xy axis 4 units to the left. If we held the function curve fixed in place as the xy axis moved like this, then it would give the illusion the function is moving 4 units to the right.
Visual confirmation is shown below.
Which of these is a reason you might use a credit union instead of a bank? (flocabulary)
A
They often don’t have any fees associated with their accounts.
B
They often have higher interest rates on savings accounts.
C
They often have higher interest rates on loans.
D
They are out to make a profit on your money.
What is the volume of a triangle with a radius of 5 and a height of 6
Andrea is designing the seating arrangement for a concert in her local park. to give everyone a good view, each row must have 4 more seats than the row before it, and the 1st row can only have 10 seats. help andrea plan the rest of the seating by solving for how many seats are in row 20. then explain to andrea how to create an equation to predict the number of seats in any row. show your work, and use complete sentences.
Andrea is designing the seating arrangement for a concert in her local park. The number of seats in row 20 would be 86 seats.
What is the Arithmetic Sequence?Arithmetic sequence is a sequence where each consequtive term has a common constant difference.
An arithmetic sequence, therefore, is defined by two parameters, viz. the starting term and the common difference.
The arithmetic sequence formula is;
aₙ = a + (n − 1)d,
where;
a is the first term
n is the position of the term in the sequence
d is the common difference
aₙ is the nth term of the sequence.
Our sequence is 10, 14, 18, 22 up to row 20.
Using the sequence formula;
[tex]a_{20} = 10 + (20 - 1)4.\\a_{20} = 10 + (19\times 4)\\a_{20}= 10 + 76\\a_{20}= 86.[/tex]
Thus, the number of seats in row 20 was 86 seats.
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find the area of the figure
Calculate the average speed of the object between 1 and 3 seconds.
Simplify please help me with this question
Answer:
a^4
Explanation:a^2×a^3= a^5(a^2+3)
a^5/a= a^4(a^5-1)
PLease help 5 stars + thanks
Answer:
B.80
Step-by-step explanation:
a straight line adds up to 180 degrees. you already have 100. 180-100=80
3×4×100±67≤65║556∪120D⊥p=13⇆87∞44f1······
HELP PLEASEE WHAT IS THIS????
Answer: That is most likely an unsolvable question.
Step-by-step explanation: PEMDAS
3×4×100±67≤65 Doesn’t work.
3x4= 12 ~ 12x100=1200 ~ 1200+67=1267 ~ 1267<65
556∪120D⊥p=13⇆87∞44f1······ Also clearly isn’t a math question
I am not sure if this helps. But I really did look into it and found nothing. I am So sorry to disappoint.
28. sylvia researched changes in the deer population in her state's parks during her lifetime
and found that population has been halved every 8 years.
she wrote the equation 4800(8) { = 600 and plans to solve fort to determine in how
many years it will take for the current population of 4800 deer to reduce to 600.
Using an exponential function, it is found that it will take 24 years for the current population of 4800 deer to reduce to 600.
What is an exponential function?An exponential function is modeled by:
[tex]y = ab^x[/tex]
In which:
a is the initial value.b is the rate of change, as a decimal.In this problem, considering the initial value of 4800, and that the population halves every 8 years, the equation is given by:
[tex]A(t) = 4800\left(\frac{1}{2}\right)^{\frac{t}{8}}[/tex]
The population will be of 600 when A(t) = 600, hence:
[tex]A(t) = 4800\left(\frac{1}{2}\right)^{\frac{t}{8}}[/tex]
[tex]600 = 4800\left(\frac{1}{2}\right)^{\frac{t}{8}}[/tex]
[tex]\left(\frac{1}{2}\right)^{\frac{t}{8}} = \frac{600}{4800}[/tex]
[tex]\left(\frac{1}{2}\right)^{\frac{t}{8}} = \frac{1}{8}[/tex]
[tex]\left(\frac{1}{2}\right)^{\frac{t}{8}} = \left(\frac{1}{2}\right)^3[/tex]
Hence:
t/8 = 3.
t = 24.
It will take 24 years for the current population of 4800 deer to reduce to 600.
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Please I need help I’m being timed.please
Answer:
C, D, and E
Step-by-step explanation:
85-20=65
t>65
This means all the numbers greater than 65.
Do not include 65 because it is not a greater than or equal to symbol.
Hope this helps!
If not, I am sorry.
A new car is purchased for $29, 000 and over time its value
depreciates by one half every 3.5 years. What is the value of the car 20
years after it was purchased, to the nearest hundred dollars?
Answer:
290 take away 2 zeros wuxbeucheuxuejx
I need help asap pls help
Answer:
For the first triangle:
[tex]2.75 units^{2}[/tex]
For the second triangle:
[tex]3.98 units^{2}[/tex]
Step-by-step explanation:
To find area of right triangles:
[tex]A=\frac{ab}{2}[/tex]
Turn mixed numbers into improper fractions, then decimals. It's not required but I tend to find working with decimals much easier ;)Multiply them togetherDivide by 2And you are good to go!
Please feel free to comment, give feedback, ask questions, and correct me if I am wrong!
Have a great day!
:)
How many solutions exist for the system of equations graphed below?
a.) none
b.) one
c.) two
d.) infinitely many
Considering the given graph, the number of solutions for the system of equations is given by:
b.) one
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In a graph, the number of solutions is given by the number of times the lines intersect. Hence, in this problem, the system has one solution, and option b is correct.
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Is this a proportional relationship? Please help!
Answer:
No
Step-by-step explanation:
If you draw a line, it will not go through the origin and there isn't a constant rate of change.
simplify the radical expression -2√2p*2√22
Answer:
Simplest form = -4√44p
Step-by-step explanation:
● -2√2p × 2√22
⇒ (-2)(2)(√2p)(√22)
⇒ -4√44p ...Answer...
hope that helps...
14.35: a baseball league has nine teams. during the season, each of the nine teams plays exactly three games with each of the other teams. what is the total number of games played?
Answer:
One team must play 8 games 3 times equals 24 games
One team must play 24 games
But each game uses 2 teams so there are 12 games in all
Or 9 * 24 / 2 = 108 games
Check: If there were 3 teams then one team must play
2 games 3 times for a total of 6 times so the total of games played will be six for each team or 18 games, but each game uses 2 teams so the total of games is nine: 1-2, 2-3, 1-3 (each team has played its opponent once) - 3 * 3 = 9
T = number of teams in league
(T - 1) 1 team plays each other once
(T - 1) * T each team has played 1 game for entire league
(T - 1) * T / 2 total games to be played for 1 game each
G * (T - 1) * T / 2 where G is number of games
The solutions of the cubic function f(x) are -4, 5/3, and 1. identify a factor of this function.
a. 3x+5
b. 5x+3
c. x+1
d. x+4
The factor of the function from the given option is d. x+4
What is a function?The function is a type of relation, or rule, that maps one input to specific single output.
The solutions of the cubic function f(x) are -4, 5/3, and 1. WE need to identify a factor of this function.
So, the solution are
x = -4
Factor;
x + 4
now,
x = 5/3
Factor;
x - 5/3 = 0
3x - 5 = 0
also,
x = 1
Factor;
x - 1= 0
Therefore, the factor of the function from the given option is d. x+4
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Which of the following rational functions is graphed below?
Investment increase exponentially by about 26% every 3 years. if you start with $2,000 investment how much money would you have after 45 years
Using an exponential function, it is found that you would have an amount of $64,060 in 45 years.
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.In this problem, considering the initial value of A(0) = 2000, with a growth rate of r = 0.26 each 3 years, the equation is given by:
[tex]A(t) = 2000(1.26)^{\frac{t}{3}}[/tex]
In 45 years, the amount will be given by:
[tex]A(45) = 2000(1.26)^{\frac{45}{3}} = 64060[/tex]
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Solve tTwo researchers are studying the decline of orangutan populations. In one study, a population of 784 orangutans is expected to decrease at a rate of 25 orangutans per year. In a second study, the population of a group of 817 orangutans is expected to decrease at a rate of 36 per year. After how many years will the two populations be the same?
he linear equation 2.25 – 11j – 7.75 + 1.5j = 0.5j – 1.
Answer:
x2
Step-by-step explanation:
bcs yeah
What is the range of the given function?
{(-2, 0), (-4,-3), (2, -9), (0, 5), (-5, 7)}
O {x|x = -5, -4, -2, 0, 2}
Oyly=-9, -3, 0, 5, 7}
O {x|x = -9, -5, -4, -3, -2, 0, 2, 5, 7}
Oyly = -9,-5, -4, -3, -2, 0, 2, 5, 7}
Answer:
see the attachment photo!
What are the zeros of the function
f(x)=6x^2+x-40
Answer:
X= 2.667 or X= -2.5
Step-by-step explanation:
sorry if this isn't correct </3
PLEASE HELP!!!
Follow the guided instructions below to rotate the figure 270^{\circ}270
∘
clockwise about the origin.
Coordinates after 270 clockwise rotation is (-6,-2), (-3,-5) and (-8, -5).
What is graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given coordinates are: (-2,6) , (-5, 3) and (-5, 8)
For 270° clockwise about the origin, we have the following rule:
(x, y)= (-y, x)
So,
coordinates (-2,6) change into (-6,-2)
coordinates (-5, 3) change into (-3,-5)
coordinates (-5, 8) change into (-8, -5).
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What is the value of x?
A x = 2
B = 3
C x = 5
D x = 8
Answer:
x=5 .........................................
i need help with this pls
Answer:
The answer is the first bullet. (number 1)
A can of soda can be modeled as a right cylinder. Suav measures its height as 11.6 cm and its radius as 2.7 cm. Find the volume of the can in cubic centimeters. Round your answer to the nearest tenth if necessary.
Answer:
16.4cm3
Step-by-step explanation:
hope this helps
Volume
πr²hπ(2.7)²(11.6)7.29(11.6)π84.564π265.5cm³This table displays the market share in percent of four companies.
Which of the following ranges would be appropriate to use in order to represent the numerical data on the vertical axis of a Bar Chart?
A. 0 to 40
B. 10 to 20
C. 0 to 20
D. 20 to 40
The right method to use in order to represent the numerical data on the vertical axis of a Bar Chart is 0 to 40.
How do you set the vertical axis of a Bar Chart?In setting the vertical axis of a Bar Chart, note that it is vital for the categories to be natural as possible.
That is, the vertical axis should always begin with the number zero (0) and the scale values for the x axis must range from the lowest value on the left hand side to highest on the right hand side.
Therefore, due to the explanation given, the right method to use in order to represent the numerical data on the vertical axis of a Bar Chart is 0 to 40 as it range from 0 to the highest value.
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Answer:
A
Step-by-step explanation:
i think i can be wrong
Help please it is confusing
Answer:
(c) Yes, +4 more
Step-by-step explanation:
The problem statement is telling you the available quantity in pounds. The answer choices are expressing the difference in terms of packets. A conversion of units of measure is needed.
__
availablePatel has 8 pounds of seed, and he puts it into 1/2-pound packets. Each pound will fill two (2) half-pound packets, so he has enough for ...
(8 lb) × (2 packets/lb) = 16 packets
neededPatel has 12 people planting seed, so needs 12 of the 16 packets in order to give each team member one packet.
He has enough seed for this need, and enough for 16 -12 = 4 more packets than he needs.
Noah receives a 5$ discount each month on his cell phone bill because he signed up for an auto pay from his bank account over the last 8 months Noah has paid a total of 280$ for his cell phone bill. what would Noah be charged for his cell phone bill each month if he stopped using auto pay
Using proportions, it is found that Noah would be charged $40 each month for his cell phone bill each month if he stopped using auto pay.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
He paid a total of $280 during 8 months, hence the monthly amount he paid is given by:
M = 280/8 = $35.
Without the discount, he would have paid $5 more, hence Noah would be charged $40 each month for his cell phone bill each month if he stopped using auto pay.
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