Answers
Answer:
Because the graph has the parabol shape, so the equation of it has the function:
y = ax² + bx + c
Because the parabol has a peak at point (0; 9)
=> 9 = a.0² + b.0 + c
=> c = 9
=> The parabol has a function:
y = ax² + bx + 9
Because the parabol goes through point (3; 0)
=> 0 = a.3² + b.3 + 9
=> 9a + 3b = - 9 (1)
Because the parabol goes through point (-3; 0)
=> 0 = a.(- 3)² + b.(- 3) + 9
=> 9a - 3b = - 9 (2)
Plus (1) and (2):
=> 18.a = - 18
=> a = - 1
Substitute the result on (1)
=> b = 0
=> The function of the parabol: y = - x² + 9
=> a = - 1
=> Choose A. - 1
Related Questions
i need help on 7 and 8.
Answers
Answer:
7 is 48b-4 and 8 is mn+4m
Step-by-step explanation:
. A drawing of a tree and a wall are in the image below.
24 fl
What is the height of the tree?
A. 1 foot
C. 36 feet
B. 16 feet
D. 22 feet
Answers
Height of the tree is 16ft
There is a tree and a wall.
height of the wall = 4ft
Base of the wall = 6ft
tanθ for wall = height of the wall/Base of the wall
= 4/6
= 2/3
Height of the tree be h
base of the tree = 24ft
tanθ for tree= h/24
tanθ for wall = tanθ for tree
2/3 = h/24
h=(2/3)(24)
= 16ft
Height of the tree is 16ft.
Height, altitude, and elevation all refer to the vertical distance between something's top and bottom or between a base and something above it. Height is something measured vertically, whether it is high or low.
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HELP, find the domain.
Answers
the domain of the graphed function is D: [-5, 3]
How to identify the domain of the function?
For a function f(x), we define the domain as the set of the inputs of the function.
So, to identify the domain, we need to look a the horizontal axis.
Doing that, we can see that the first value in the horizontal axis is x = -5, and the last value is x = 3.
Notice that in both cases we have solid dots, which means that these values do belong to the domain.
Then the domain of the graphed function is D: [-5, 3]
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Write a function g with the parent function f(x) = /x/ that has a vertex at (-2, 4)
Answers
The answer for the given function g(x) is |x - 4|² - 2.
Given parent function is f(x) = |x|
Given vertex (h, k) = (-2, 4)
The simplest function in a family of functions, a parent function maintains the definition of the entire family.
The parent function that has vertex must be used to create the function of g, as shown below.
vertex form can be written as
a ( x - k )² + h
Here a = 1 , k = 4, h = -2
Now the function g(x) = | x -4 |² + ( -2)
g(x) = |x - 4|² - 2
Therefore, the function g(x) is found to be |x - 4|² - 2.
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40 . a guest orders a drink that contains 4 ½ ounces of 80-proof liquor. approximately how many drinks does this beverage contain?
Answers
Number of drinks = 3
From the question we are told that:
Ordered drink 4 1/2 ounces of 80-proof liquor
Generally,
80-proof liquor contains 40\% alcohol
Giving the drink a standard 1.5 ounce of distilled spirit
Therefore,
Number of drinks = 4.5 / 1.5
So, Number of drinks = 3
What do you mean by ounces?A number of distinct units of mass, weight, or volume are derived from the uncia, an ancient Roman unit of measurement, including the ounce, which is almost unmodified. The avoirdupois ounce, or precisely 28.349523125 g, is 116 of an avoirdupois pound and is used in both the United States and the United Kingdom. Although it is frequently used outside of the Anglosphere, it is predominantly employed in the United States to measure packaged foods and food portions, postal items, the areal density of fabric and paper, boxing gloves, and other items. Although the avoirdupois ounce is the standard unit of mass for most applications.
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how many area codes (abc) would be possible if all three digits could be any value 1-9? question 5 options: 27 30 729 1,000
Answers
Answer:729
Step-by-step explanation:someone else said it
gabriel types 3 1/5 pages in 1/2 of an hour how many pages can he type in one hour
Answers
Answer:
6 2/5 pages
Step-by-step explanation:
Since we know how much he can type in half an hour, for a full hour you simply add two of the same value:
3 1/5 + 3 1/5
3+3 = 6, and 1/5 + 1/5 = 2/5
So the final answer would be 6 2/5 pages
I hope this helps :)
Insert three arithmetic means between
22
and
34
.
Answers
Answer:
22,25,28,31
N=5
A1= 22
an= 35
22-34
d= 5-1
22+3=25
25+3=28
28+3=31
31+3=34
mwheheheheh
can someone answer 2 1/8 x 1 7/9 =
Answers
Answer:
Exact Form: 34/9
Mixed-Number Form: 3 7/9
Step-by-step explanation:
Hope this helps.
Answer:
3 7/9
Step-by-step explanation:
2 1/8
convert mixed numbers to improper fractions
2x8+1/8 = 17/8
1 7/9
1x7+9/9 =16/9
17/8 x 16/9
Factor the number 16=8x2
17x8x2/8x9
cancel the common factor =8
=17x2/9
=34/9
convert improper fractions to mixed numbers
34/9 =3 remainder of 7
34/9 = 3 7/9
Look at the simultaneous equations below.
(1)
x - 2y = 15
(2) x = 3 = 4y
a) Rearrange equation (2) to make x the
subject.
b) Using your answer to part a), solve the
simultaneous equations using substitution.
Answers
Answer:
x_2y=15
x_4y=_3
_6y=12
divide both sides by 6
y=_2
substitute y for x
In equation 1
x_2y=15
x_2 (_2)=15
x+4=15
x=15_4
x=11
Aiyana draws figures JKLM and PQRS on the grid.
PART A Aiyana dilates figure JKLM to form image JK'L'M'. She uses a scale
factor of 1 and point J as the center of dilation. How are the original figure and
its image related?
(I also need help placing JK’L’M’
Answers
The relationship between the figure JKLM and it's image, J'K'L'M' following a dilation by a scale factor of 1 is that JKLM and J'K'L'M' have the same dimensions, and location
J'K'L'M' should be placed at the same lol as JKLMWhat are scale factors?Scale factors are numbers that are used to multiply a quantity to scale it by a given rate.
Part A
In order to easily describe the relationship between the image J'K'L'M' and the original figure JKLM, the point J can be taken as the origin such that the image vertices are obtained by dilating the points on the original figure in their original direction relative to J using the specified scale factor.
The coordinates of the vertices of JKLM relative to J are;
J(0, 0), K(6, 0), L(6, -6), M(0, -6)
Distance of K from J = 6 - 0 = 6 units to the right of K
Therefore, using a scale factor of 1;
Distance of K' from J = 1 × 6 units = 6 units to the rightThe distances of the vertices of square J'K'L'M' from point J are the same and in the same direction as the distances of the vertices of square JKLM from point J.
JKLM and J'K'L'M' have the same dimensions following the dilation of JKLM by a scale factor of 1The vertices of J'K'L'M' using a scale factor of 1 are therefore located at the same coordinates as the vertices of square JKLM
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Marissa says that lines a and d will eventually intersect. is she correct? explain. yes, because they are on the same plane yes, because they are perpendicular no, because they are parallel no, because they are skew
Answers
Marissa says that lines a and d will eventually intersect is a wrong statement as they are skew lines. Therefore option D is correct.
What are skew lines?A and D are both in different planes, skew lines are line that will never intersect because they are noncoplanar, meaning they are never in the same plane. If they aren't in the same plane, they can't intersect.
Two or more lines that doesn't have any intersections but they are not parallel.
Skew lines are also called as agonic lines. Since two lines in a plane must be parallel or intersect ,skew lines can only exist in three dimensions or more dimensions.
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Solve the given word problem.
Ms. Enriquez asked a carpenter to construct a rectangular bulletin board for his classroom. She told the carpenter that the length of the board is 7 ft. Longer than its width and its area is 18 square feet. Find the dimensions of the given bulletin board.
Pls solve the question
Answers
The dimensions of the bulletin board is 2 ft and 9 ft.
Let the width of board = x
Then, the length of board = 7+x
Area of board = 18 ft²
Area of rectangle = L×W
so, (7+x) × x = 18 ft²
7x + x² = 18 ft²
7x + x² + 18 = 0
x² + 9x -2x -18 = 0
x(x+9) -2(x+9) = 0
(x+9) (x-2) = 0
x+9 =0, x -2 = 0
Dimension can not be in negative number, so
x = 2, Width = 2 ft
Length = 2+7 = 9 ft
Hence, the dimensions of board will be:
The width of board = 2 ft
And, the length of bard = 9 ft.
B is the midpoint of AC and E is the midpoint of BD. If A(-9, -4), C(-1, 6), and E(-4, -3), find the coordinates or D
Answers
The coordinates of point D is (- 3, - 7).
How to determine the coordinates of a endpoint of a line segment divided by a midpoint
A midpoint is a point that partitions a line segment in two parts of equal length. First, we must find the coordinates of point B by using the midpoint formula:
B(x, y) = 0.5 · A(x, y) + 0.5 · C(x, y)
B(x, y) = 0.5 · (- 9, - 4) + 0.5 · (- 1, 6)
B(x, y) = (- 4.5, - 2) + (- 0.5, 3)
B(x, y) = (- 5, 1)
And the location of point D is found by using the midpoint formula again:
E(x, y) = 0.5 · B(x, y) + 0.5 · D(x, y)
(- 4, - 3) = 0.5 · (- 5, 1) + 0.5 · D(x, y)
(- 4, - 3) = (- 2.5, 0.5) + 0.5 · D(x, y)
(- 8, - 6) = (- 5, 1) + D(x, y)
D(x, y) = (- 8, - 6) - (- 5, 1)
D(x, y) = (- 3, - 7)
The coordinates of point D is (- 3, - 7).
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part a a wall is covered with 6 wood panels. each panel is a square with a side length of x feet. write an expression to represent the total area, in square feet, covered by the wood panels.
Answers
The expression that represent the total area in square feet covered by the wood panels is: 6x² feet²
The formula and procedure to solve this geometry exercise is:
A = s²
Where:
A = area of the squares = sideProblem information:
A = ?s = x feetNo. panels= 6Using the formula of the square area we get the area of 1 panel:
A(1 panel) = s²
A(1 panel) = (x feet)²
A(1 panel) = x² feet²
Calculating the total area of the 6 wood panels we get:
A(total): No. panels * A(1 panel)
A(total): 6x² feet²
What is the area?Is the measure of the space occupied by a body bounded by an environment called perimeter, the same is expressed in units of squared side. Example: ft2, m2
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83. Which statement must be true if x is a whole number greater than 1?
Answers
You can substitute x with 2, since this follows the rule. With this in mind, it could be, 1/3>1/4.
What is four hundred in standard form
Answers
standard form
Answer: 4x10²
Step-by-step explanation:
Maria needs to be at the airport terminal at 16:15. It will take 1 1/3
hours to drive to the airport from her home, and a further 25 minutes to park and get to the terminal.
What is the latest time she should leave home?
Give your answer as a time in the 24-hour clock.
Answers
Maria should leave home for the airport terminal at 14:30.
How to convert hour into minutes?Local time is the time of a location as determined by the apparent motion of the sun. The fixed time for locations on the same meridian set by law in a country is referred to as standard time. Changes in real time as longitude changes. The same applies to a specific country.We all know that one hour equals sixty minutes.
As a result, 6 hours = (6 × 60) minutes = 360 minutes.
For, the given question;
The time at which Maria need to be at airport terminal is 16:15.
Time taken for the driving is 1 1/3 = 4/3 hours.
convert this in minutes;
= 4×60/3
= 80 minutes.
Now, extra 25 minutes is requires to park.
Total time = 80 minutes + 25 minutes
Or we can write 60 minutes + 45 minutes.
Total time = 1 hour + 45 minutes.
The time at which Maria has to reach = 16:15 - 1:45 = 14:30
Therefore, the time at which Maria must reach the airport is 14:30 in 24-hour clock.
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eight congruent equilateral triangles, each of a different color, are used to construct a regular octahedron. how many distinguishable ways are there to construct the octahedron? (two colored octahedrons are distinguishable if neither can be rotated to look just like the other.)
Answers
There are 1680 ways to construct the octahedrons.
Here,
Eight congruent equilateral triangles, each of a different color, are used to construct a regular octahedron.
An octahedron has 8 equilateral triangles.
We have to find number of ways to construct the octahedron.
What is Regular octahedron?
An octahedron is a polyhedron with eight faces. The term is most commonly used to refer to the regular octahedron, a Platonic solid composed of eight equilateral triangles, four of which meet at each vertex.
Now,
An octahedron has 8 equilateral triangles.
We have to fix 2 faces before applying the colors.
So, the first face that can be fixed for any of the 8 faces but each faces are similar.
Hence, there are 8/8 ways.
And, When we fix one face, three adjoining faces are similar.
So, we have 7 colors for the second face.
Hence, 7/3 ways
Now, we can place any color anywhere, it will be different arrangement.
So, 6! ways.
Hence, Total number of ways = (8/8) * (7/3) * 6! = 7 * 6 * 5 * 4 *2 = 1680
So, There are 1680 ways to construct the octahedrons.
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Simplify 4(11 - 6) + 2
Answers
Step-by-step explanation:
Distribution first y=44-24+2
Simplify y=22
Hope this helps!
If you have any other questions feel free to ask!
Answer:
22
Step-by-step explanation:
Hey there!
To solve this, you need to follow PEMDAS
We do Parenthesis first:
44 - 24 + 2
Now we can simplify:
20 + 2
22
Is the mixed number 1 1/6 rational or irrational?
Answers
Answer:
rational
Step-by-step explanation:
1 1/6 can also be expressed in the form 7/6
any number that can be expressed in a form of a/b is a rational number
Help me pleasee
Questions r in picture
Answers
[tex] \large \bf\implies\frac{12}{61} [/tex]
Step-by-step explanation:Given :[tex] \tt \frac{8}{101} , \frac{9}{91} , \frac{10}{81} , \frac{11}{71} ...[/tex]
To Find :nth termSolution :We have to add 1 in numerator and -10 in denominator because
[tex] \tt \frac{8}{101} , \frac{9}{91} , \frac{10}{81} , \frac{11}{71} ...[Given][/tex]
[tex] \frac{8 \: + \: 1}{101 \: - \: 10} = \frac{9}{91} \\\\ \frac{9 + 1}{91 - 10} = \frac{10}{81} \\ \\ \frac{10 + 1}{81 - 10} = \frac{11}{71} \\ \\ \frac{11 + 1}{71 - 10} = \frac{12}{61} ...[/tex]
The difference is 1 in numerator so we add 1 and the difference is -10 in denominator so we subtract -10.
38) "the quotient of a number and 2, increased
by 9 is -15"
Answers
Answer: x=48
i know the answer bc i just did it
If 6x/7 = 10y/9 then what dose x/y =
Answers
Answer:
x = 35y/27
y = 27x/35
Check out the attached photo
Describe the pattern, then list the next three numbers in the sequence.
4.5, 7, 12, 22, 42 __, __, __
Answers
Answer:
82 , 162, 322
Step-by-step explanation:
So basically add the number by two and then subtract that number by 2. 4.5(2)=9 9-2=7 and 7(2)=14 14-2=12 and so on
Meri paid $19.24 for 10.5 gallons of
gas. What was the cost of one
gallon?
Answers
Create an equivalent expression for 1.5 cubed over 1.3 raised to the fourth power all raised to the power of negative six.
15 points to whoever can answer this pleeease help
Answers
Answer:
1.3^24 / 1.5)^18
Step-by-step explanation:
[1.5^3 / 1.3^4]^-6
= 1.5^(3*-6) / 1.3^(4*-6)
= 1.5^(-18) / 1.3^(-24)
= 1.3^24 / 1.5)^18
Determine the general solution of cos(x-30°) = 2 sin x.
Answers
Answer:
I’m not sureee
Step-by-step explanation:
Jason uses 3 1/2 cups of uncooked pasta to make a pot of macaroni and cheese. if he has 18 1/2 cups of pasta, how many pots of macaroni and cheese can jason make?
Answers
He can make 5 pots of macaroni and cheese.
What is Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Jason uses 3 1/2 cups of uncooked pasta.
He has= 18 1/2 cup of pasta
So, the numbers pots he can make
=18 1/2 ÷ 3 1/2
=37/2 ÷ 7/2
=37/2*2/7
=37/7
=5.28
= 5 pots
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in a random sample of 77 residents of the state of california, the mean waste recycled per person per day was 1.71.7 pounds with a standard deviation of 0.360.36 pounds. determine the 99�% confidence interval for the mean waste recycled per person per day for the population of california. assume the population is approximately normal.
Answers
A simple random sample is a subset of a statistical population in which each member of the subset has an equal probability of being chosen. A simple random sample is meant to be an unbiased representation of a group.
Random sampling, or probability sampling, is a sampling method that allows for the randomization of sample selection, i.e., each sample has the same probability as other samples to be selected to serve as a representation of an entire population.
Simple random sampling is the randomized selection of a small segment of individuals or members of a whole population. It provides each individual or member of a population with an equal and fair probability of being chosen. The simple random sampling method is one of the most convenient and simple sample selection techniques.
Simple random samples are determined by assigning sequential values to each item within a population, then randomly selecting those values.
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