The three statements describing the parabola graphed here are that the vertex is located at (3,-8), the vertex is a minimum and the range of the function is -8 ≤ y ≤ ∞.
What is a parabola?
Any point on a parabola is equally distant from the directrix, a fixed straight line, and the focus, a fixed point. An U-shaped plane curve is a parabola.
We are given a graph, which shows a parabola opening upwards.
Since, the parabola is opening upwards, so the vertex of the parabola is a minimum.
From the graph, we can locate that the vertex of the parabola lies at (3, -8)
The range of the function is -8 ≤ y ≤ ∞ because for any value of x, we will get the value equal or greater than -8.
Hence, the above stated statements correctly describe the key features of the function.
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what is 1235X76678 what is it
Answer:
94697330
Ur welcome
Step-by-step explanation:
Answer:
94,697,330
Explanation:
\(1235 x 76678 = 94697330\)
If you can buy 4 containers of pudding for $4.20 how much can you buy for $9.45 math problem PARAMETERS
*** 7 STEPS ***
Answer:
9 containers
Step-by-step explanation:
$4.20 for 4 containers
Form that we can find the cost per container, the unit cost.
$4.20 / 4 containers = $1.05/container
Each container costs $1.05
Now we find the number of containers we can buy with $9.45 by dividing $9.45 by the unit cost.
$9.45/($1.05/container) = 9 containers
Answer: 9 containers
Step-by-step explanation:
Four containers of pudding cost $4.20.
4x = 4.20
x = 1.05
Using this we know that one container of pudding costs $1.05.
Then, divide the maximum amount that you have by the cost of one.
9.45/1.05 = 9
With $9.45, you can buy nine cups of pudding.
In the case that you can buy the four containers in bulk (4 at a time)...
You can only buy 8 containers of pudding (two) because $4.20 only fits into $9.45 twice.
Given m ∥ n, find the value of x.
given that m is parallel to n,
the angle opposite (2x + 16)° is also (2x + 16)° as vertically opposite angles are equal.
using the corresponding angle rule we know that:
2x + 16 = 96
2x = 80
so x = 40
I NEED HELP 30 POINT!!
Answer:
35
Step-by-step explanation:
You can easily graph this in desmos for a visual understanding.
The slope of a line is received by (y2-y1)/(x2-x1). Assuming that Days is X and the cost is Y, we get (160-90)/(4-2), and it makes 70/2, which equates out to 35. Because the prices become more and more expensive, the slope is positive 35.
5h-6-8+7h what’s the answer ?
What is the missing number in the pattern above?
7,680, 1, 920, ___, 120, 30
a. 210
b. 480
c. 900
d. 1,440
One urn contains 7 blue balls and 13 white balls, and a second urn contains 14 blue balls and 5 white balls. An urn is selected at random, and a ball is chosen from the urn. (a) Let B, be the event that the first urn is chosen, B, be the event that the second urn is chosen, and A be the event that the chosen ball is blue. Find each of the following. P(A | B1) P(A | B2) P(A n B2) P(A n B2) What is the probability (as a %) that the chosen ball is blue? (Round your answer to one decimal place.) % (b) If the chosen ball is blue, what is the probability (as a %) that it came from the first urn? (Round your answer to one decimal place.)
The probability that the chosen ball is blue is 55.3%.
If the chosen ball is blue, the probability would be 3.33% that it came from the first urn.
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event. The probability of an event is calculated by dividing the number of ways the event can occur by the total number of possible outcomes.
(a) To find P(A|B1), we use the formula P(A|B) = P(A and B)/P(B).
In this case, P(A and B1) is the probability of choosing a blue ball from the first urn, which is 7/20.
The probability of choosing the first urn is 1/2, so P(B1) = 1/2.
Plugging these values into the formula gives us P(A|B1) = (7/20)/(1/2) = 14/20 = 7/10.
To find P(A|B2), we use the same formula.
In this case, P(A and B2) is the probability of choosing a blue ball from the second urn, which is 14/19.
The probability of choosing the second urn is 1/2, so P(B2) = 1/2.
Plugging these values into the formula gives us P(A|B2) = (14/19)/(1/2) = 28/19.
To find P(A and B2), we use the formula P(A and B) = P(A|B) * P(B).
In this case, we already know that P(A|B2) = 28/19 and P(B2) = 1/2, so P(A and B2) = (28/19) * (1/2) = 28/38.
To find P(A or B2), we use the formula P(A or B) = P(A) + P(B) - P(A and B).
In this case, P(A) is the probability of choosing a blue ball overall, which is 21/38.
P(B2) is the probability of choosing the second urn, which is 1/2.
P(A and B2) is the probability of choosing a blue ball from the second urn, which is 28/38.
Plugging these values into the formula gives us P(A or B2) = 21/38 + 1/2 - 28/38 = 15/38.
The probability that the chosen ball is blue is P(A) = 21/38 = 55.3%.
(b) If the chosen ball is blue, the probability that it came from the first urn is P(B1|A) = P(B1 and A)/P(A).
We already know that P(B1 and A) is the probability of choosing a blue ball from the first urn, which is 7/20.
We also know that P(A) is the probability of choosing a blue ball overall, which is 21/38.
Plugging these values into the formula gives us P(B1|A) = (7/20)/(21/38) = 7/21.
This probability is equal to 33.3%.
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On a coordinate plane, f (x) = x cubed + 4 curves up
through (2, negative 3), has an inflection point at (0, 4),
and curves up through (1, 5). G (x) = Rootindex 3
StartRoot x minus 4 EndRoot curves up through
(negative 4, negative 2), has an inflection point at (4, 0),
and curves up through (5, 1).
Consider the function show. Explain why the graph of a
function and its inverse are reflections over the line
y=x.
O The ordered pairs (a, b) of a function are (-a, -b) for
the inverse function.
O The ordered pairs (a, b) of a function are (-b, -a) for
the inverse function.
O The ordered pairs (a, b) of a function are (a, b) for
the inverse function.
O The ordered pairs (a, b) of a function are (b, a) for
the inverse function.
Answer: B
Step-by-step explanation:
I just solved it
The correct answer is . The ordered pairs (a, b) of a function are (b, a) for the inverse function.
PLEASE HELP
Suppose that the functions fand g are defined for all real numbers x as follows.
f(x) = 5x
g(x)=4x-4
Write the expressions for (g.f)(x) and (g-f)(x) and evaluate (g+f)(2).
(g•f)(x) =
(g-f)(x) =
(g+r) (2)=
Samir bought 3 pounds of cement to repair the cracks in his sidewalk.
Each crack needs to be filled with 2 ounces of cement.
Answer:
The answer is 24 cracks will be filled
Step-by-step explanation:
hope it helps :3
16 ounces in a pound. convert pounds to ounces
calculate the amount of cement we have. That would be 3 x 16 = 48 ounces of cement.
The amount of cracks to be filled : 48 /2 = 24 cracks
Question 2
No calculations are necessary to answer this question.
3/01
3/02
$1.7420 $1.7360
Date
July GBP Futures
Contract Price
O long; long
Based on the closing prices of July GBP Futures Contract over the 3-day period in March 20XX as shown above, you shou
position on 3/01 and a position on 3/02.
O long; short
O short; short
3/03
short; long
$1.7390
The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.
BOWLING The cost for Nobu to go bowling is $4 per game plus an additional flat fee of $3.50 for the rental of bowling shoes. The cost can be modeled by the function f(x)=4x+3.5, where x represents the number of games bowled. Describe the graph of g(x) as it relates to f(x) if Nobu does not rent bowling shoes.
g(x) = , 1 of 3.
Select Choice
, which is the translation of f(x) , 2 of 3.
Select Choice
units , 3 of 3.
Select Choice
The graph of g(x) = 4x, is the translation of f(x) by subtracting 3.5 units, 2 of 3.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
The cost can be modeled by the function f(x)=4x+3.5, where x represents the number of games bowled.
As per the given question, the required solution would be as:
g(x) = 4x , is the translation of f(x) by subtracting 3.5 units, 2 of 3.
The graph of g(x) would be identical to the graph of f(x), but shifted 3.5 units downward, 3 of 3.
This is because the flat fee for the rental of bowling shoes is not present in the function g(x), so the y-intercept of the graph would be at (0,-3.5) instead of (0,0) in f(x) function.
The slope and the shape of the function will remain the same.
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The spinner below shows
5 equally sized slices. Yolanda spun the dial
20 times and got the following results. (a) Assuming that the spinner is fair, compute the theoretical probability of landing on grey. (b) From Yolanda's results, compute the experimental probability of landing on grey. (c) Assuming that the spinner is fair, choose the statement below that is true:
As the number of spins increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal.
As the number of spins increases, we expect the experimental and theoretical probabilities to become farther apart.
The experimental and theoretical probabilities must always be equal.
A) there are 5 slices and 2 of them are grey.
The theoretical probability to land on grey would be the number of grey slices over the total number of slices: 2/5
B) the experimental probability would be the number of times the spinner landed in grey over the number of times the spinner was spun. From the table the spinner landed on grey 11 times and was spun 20 times. The experimental probability is 11/20
C) not all the answer choices are shown.
But the experimental and theoretical probabilities would most likely be different.
Answer:
From Yolanda's result, compute the experimental porbability of landing on grey
Step-by-step explanation:
What is 50% of $68? Show all of your work. Use the percent proportion model shown below to set up the equation before you calculate the answer.
Answer:
$34
Step-by-step explanation:
50% is half of 100%
(Because 50% x 2 = 100%)
Thus, half the money ($68) to find 50%.
So, 68÷2 = 34
Final answer is $34
Or
50/100 x $68 =$34
Hope this helps!
Solve for x. Please look at the picture and answer it. Thank you.
Answer:
I think 12.2
Step-by-step explanation:
58+(8x-18)+(4x-4) = 180
58+(-18-4)+(8x+4x) = 180
58-22+8x+4x = 180
58-22+12x = 180
36+12x = 180 1. -36 on both sides
12x = 146 2. / 12 on both sides
x = 12.2
Find two positive numbers satisfying the given requirements. The sum of the first and twice the second is 400 and the product is a maximum.
Answer:
100 and 200Step-by-step explanation:
Let the first number be 'a' and the second number be 'b'. If the sum of the first and twice the second is 400 then;
a+2b = 400 ....
From the equation above, a = 400 - 2b ... 2
If the product of the numbers is a maximum then;
ab = (400-2b)b
let f(b) be the product of the function.
f(b) = (400-2b)b
f(b) = 400b-2b²
For the product to be at the maximum then f'(b) must be equal to zero i.e f'(b) = 0
f'(b)= 400-4b = 0
400-4b = 0
400 = 4b
b = 400/4
b = 100
Substituting b= 100 into the equation a = 400 - 2b to get a;
a = 400 - 2(100)
a = 400 - 200
a = 200
The two positive integers are 100 and 200.
Help me pls!!!ASAP I don’t get it
asap i need help with my missing homework
What is the value of x? Enter your answer in the box. X = cm 5 cm 48 cm 40 cm
The value of x in the similar triangle is 6 units.
How to find side of similar triangle?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
Therefore, let's use the similarity ratio to find the value of x in the similar triangle as follows:
Hence,
5 / 40 = x / 48
48 × 5 = 40x
240 = 40x
divide both sides by 40
x = 240 / 40
x = 6
Therefore,
x = 6
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What is the perimeter and area of this shape?
Answer:
27 square units the perimeter is13+5+13+5=36 | 13x2=36 | 5x2=10 36+10=46
if sarah has 800 marbles and her teacher gave her 3,00 more and she have 100 to her 2 friends how much will sarah have??
Answer:
3600
Step-by-step explanation:
If she has 800 her teacher gives her 3000= 3800 and she gave 100 to both of her friends - 200 then she will have 3600.
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what is the equation of the line that has a slope of three and goes through the point (-3,-5)?
A. y= 3x+4
B. y= 3x-14
C. y= 3x-4
D. y= 3x+12
Answer:
y=3x+4
Step-by-step explanation:
y-y1=m(x-x1)
y-(-5)=3(x-(-3))
y+5=3(x+3)
y=3x+9-5
y=3x+4
line n passes through the points (-3, -7.5) and (2, -5). tahlia determined that the equation of line n is y = 0.5x. explain the error tahlia made while determining her equation. be sure to include the correct equation in your explanation
Answer:
Tahlia was correct in remembering that you can find the slope of a line using the slope formula.
She was also correct that the slope is 0.5.
However, if you use the slope-intercept formula y = mx + b, you still have to find b (the y-intercept) by plugging in one of the two points and the slope.
So, if we plug in the first point and the slope into the line, we can find b and thus the full equation of the line:
\(-7.5=0.5(-3)+b\\-7.5=-1.5+b\\b=-6\\\\y=0.5x-6\)
8. Write a paragraph proof.
Proof Given: In a plane, a is perpendicular to b, b id perpendicular to c, and c || d.
Prove: a || d
To prove that line segment a is parallel to line segment d, based on the given information, we can utilize the properties of perpendicular and parallel lines.
Given that a is perpendicular to b and b is perpendicular to c, we know that angles formed between a and b, as well as between b and c, are right angles. Let's denote these angles as ∠1 and ∠2, respectively.
Now, since c is parallel to d, we can conclude that the corresponding angles ∠2 and ∠3, formed between c and d, are congruent.Considering the fact that ∠2 is a right angle, it can be inferred that ∠3 is also a right angle.
By transitivity, if ∠1 is a right angle and ∠3 is a right angle, then ∠1 and ∠3 are congruent.Since corresponding angles are congruent, and ∠1 and ∠3 are congruent, we can deduce that line segment a is parallel to line segment d.
Thus, we have successfully proven that a is parallel to d based on the given information and the properties of perpendicular and parallel lines.
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There are 640 students who attend Washington College Prep. 75% of the students play a sport. How many students at Washington College Prep play a sport? Draw a percent bar to show your answer.
Please answer this
Answer:
D
Step-by-step explanation:
What are two different ways to write 3/8
Answer:
6/16 and 12/32
Step-by-step explanation:
On the following composite figure, the longer edge length is 14 millimeters. The shorter edge length is 8 millimeters. The width of the figure, at its longest point, is 11.3 millimeters. Find the area of the figure. Explain or show how you got your answer. Note: Lines that look parallel are parallel, and angles that look like right angles are right angles.
The area of the given composite figure with a side length of 14mm and an edge length of 8mm is 158.2 mm².
What is a composite figure?
A two-dimensional figure built up of fundamental two-dimensional shapes like triangles, rectangles, circles, semicircles, etc. is known as a composite shape or composite figure. A variety of forms that we encounter every day are composite figures that can be created from two or more fundamental figures.
The figure is given below.
From the figure, we can see that the sides of a triangle at the top and bottom are the same.
So the triangle cut from the bottom is placed at the top of the figure.
When the cut triangle is placed back at the bottom, we get a rectangle of length 14 mm and breadth 11.3 mm, as given below.
So the area of the given composite figure is the same as the area of the rectangle.
The area of the rectangle = length * breadth = 14 * 11.3 = 158.2 mm²
Therefore the area of the given composite figure is 158.2 mm².
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Rosters Chicken advertises "lite" chicken with 30% fewer calories than standard chicken. When the process for "lite" chicken breast production is in control, the average chicken breast contains calories, and the standard deviation in caloric content of the chicken breast population is calories. Rosters wants to design an -chart to monitor the caloric content of chicken breasts, where chicken breasts would be chosen at random to form each sample. a) What are the lower and upper control limits for this chart if these limits are chosen to be four standard deviations from the target? Upper Control Limit () nothing calories (enter your response as an integer).
Correct question is;
Rosters Chicken advertises "lite" chicken with 30% fewer calories than standard chicken. When the process for "lite" chicken breast production is in control, the average chicken breast contains 450 calories, and the standard deviation in caloric content of the chicken breast population is 20 calories. Rosters wants to design an X-chart to monitor the caloric content of chicken breasts, where 25 chicken breasts would be chosen at random to form each sample. a) What are the lower and upper control limits for this chart if these limits are chosen to be four standard deviations from the target? b) What are the limits with three standard deviations from the target? Upper Control Limit (UCL)calories (enter your response as an integer).
Answer:
A)UCL = 466
LCL = 434
B)UCL = 462
LCL = 438
Step-by-step explanation:
We are given;
Mean;μ = 450
Standard deviation; σ = 20
Sample size; n = 25
A) We are told that these limits are chosen to be four standard deviations from the target.. This means that z-value = 4.
Thus, upper control limit will be the formula;
UCL = μ + 4σ/√n
UCL = 450 + 4(20)/√25
UCL = 450 + 16
UCL = 466
Lower control limit will be;
LCL = μ - 4σ/√n
LCL = 450 - 4(20)/√25
LCL = 450 - 16
LCL = 434
B) We are now told that these limits are chosen to be three standard deviations from the target.
Thus, z = 3
So;
UCL = μ + 3σ/√n
UCL = 450 + 3(20)/√25
UCL = 450 + 12
UCL = 462
Lower control limit will be;
LCL = μ - 3σ/√n
LCL = 450 - 3(20)/√25
LCL = 450 - 12
LCL = 438
Identify the x-intercept and y-intercept of the line 2x - 4y = - 12.
O The x-intercept is (-6,0) and the y-intercept is (0, 3).
O The x-intercept is (0, -6) and the y-intercept is (3,0).
O The x-intercept is (2,0) and the y-intercept is (0. - 4).
O The x-intercept is (0, 3) and the y-intercept is (-6,0).
The x-intercept of the given line is (-6,0) and y-intercept of the given line is (0,3)
To find the x-intercept:
x-intercept can be found by taking y = 0
The given equation is
2x - 4y = -12
Let us take y = 0, then
2x - 4(0) = -12
2x - 0 = -12
2x = -12
x = -12/2
x = -6
Therefore the x-intercept of the given line is (-6,0)
To find the y-intercept:
Similarly, y-intercept can be found by taking x = 0
The given equation is
2x - 4y = -12
Take x = 0, then
2(0) - 4y = -12
-4y = -12
4y = 12
y = 12/4
y = 3
Therefore, y-intercept of the given line is (0,3)
The x-intercept of the given line is (-6,0) and y-intercept of the given line is (0,3)
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Answer to this problem
The 3 deals are worth the same price per unit of $0.1 a pencil.
Price per unit of itemsBased on the given prices, we can calculate the price per pencil for each pack:
Pack of 12 pencils: $1.29Price per pencil = $1.29 / 12 = $0.1075 (approximately $0.11)
Pack of 24 pencils: $2.35Price per pencil = $2.35 / 24 = $0.0979 (approximately $0.10)
Pack of 50 pencils: $5.45Price per pencil = $5.45 / 50 = $0.109 (approximately $0.11)
In other words, the 3 deals are worth the same price per unit of the pencil.
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