graph use the parabola tool then choose the vertex followed by one point on the parabola PLEASE HELPPPPP
Answers
The function is expressed as
h(x) = (x - 2)(x - 4)
It can be rewritten as
y = (x - 2)(x - 4)
We would substitute values of x into the equation and find corresponding values of y. We have
When x = - 2, y = (- 2 - 2)(- 2 - 4) = - 4 * - 6 = 24
When x = - 1, y = (- 1 - 2)(- 1 - 4) = - 3 * - 5 = 15
When x = 0, y = (0 - 2)(0 - 4) = - 2 * - 4 = 8
When x = 1, y = (1 - 2)(1 - 4) = - 1 * - 3 = 3
When x = 2, y = (2 - 2)(2 - 4) = 0 * - 2 = 0
We would plot the corresponding x and y values on the graph as shown below
Related Questions
The polynomial of degree 5, P ( x ) , has leading coefficient 1, has roots of multiplicity 2 at x = 3 and x = 0 , and a root of multiplicity 1 at x = − 2 . Find a possible formula for P(x). I got x^5-5x^4-2x^4+3x^2, and I got it wrong. :(
Answers
Answer:
Step-by-step explanation:
(x-3)(x-3)(x²)(x+2)
(x²-6x+9)(x³+2x²)
x^5+2x^4-6x^4-12x^3+9x^3+18x^2
x^5 - 4x^4 - 3x^3 +18x^2
Using the Factor Theorem, it is found that the polynomial is given by:
\(P(x) = x^5 - 4x^4 - 3x^3 + 18x^2\)
The Factor Theorem states that if a polynomial has roots \(x_1, x_2, ..., x_n\), it can be written as:
\(P(x) = a(x - x_1)(x - x_2)...(x - x_n)\)
In which a is the leading coefficient.
In this problem:
Leading coefficient of 1, thus \(a = 1\).Roots with multiplicity 2 at x = 3 and x = 0, thus \(x_1 = x_2 = 3, x_3 = x_4 = 0\)Root with multiplicity 1 at x = -2, thus \(x_5 = -2\).Then, the polynomial is:
\(P(x) = x^2(x - 3)^2(x + 2)\)
\(P(x) = x^2(x^2 - 6x + 9)(x + 2)\)
\(P(x) = x^2(x^3 - 4x^2 - 3x + 18)\)
\(P(x) = x^5 - 4x^4 - 3x^3 + 18x^2\)
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Joe-Bob wants to buy a car and will need to take out a loan in order to make the purchase. His current monthly income is $3,500 per month. His mortgage payment is $900 per month, and his student loan payment is $350 per month.
Note: You do not need to take taxes into consideration for this journal.
According to the affordability formulas given, can he afford to take out another loan?
When should he follow the affordability formulas? In what cases should he not?
How could taking out the car loan impact his other priorities?
Answers
A wire is 71cm long . you wish to cut it into two pieces. One piece is bent into shape of triangle with legs of equal length .The piece is to be bent into shape of circle .
Answers
To solve this problem, we need to find the lengths of the two pieces when the wire is cut into two parts. Let's denote the length of each leg of the triangle as\(\(x\).\)
The perimeter of the triangle is the sum of the lengths of its three sides. Since the two legs are equal in length, the perimeter can be expressed as \(\(2x + x = 3x\).\)
The length of the wire is given as 71 cm, so we have the equation \(\(3x = 71\).\)
Solving for\(\(x\),\) we divide both sides of the equation by 3:
\(\(x = \frac{71}{3}\).\)
Now that we know the length of each leg of the triangle, we can proceed to the next part of the problem.
The circumference of a circle is given by the formula \(\(C = 2\pi r\)\), where\(\(C\)\)is the circumference and r is the radius. In this case, the wire of length xis bent into the shape of a circle, so we can set the circumference equal to x and solve for the radius r:
\(\(x = 2\pi r\).\)
Substituting the value of x we found earlier, we have:
\(\(\frac{71}{3} = 2\pi r\).\)
Solving for r, we divide both sides of the equation by \(\(2\pi\):\)
\(\(r = \frac{71}{6\pi}\).\)
Therefore, the two pieces of wire will have lengths\(\(\frac{71}{3}\)\)cm and the radius of the circle will be\(\(\frac{71}{6\pi}\)\) cm.
In summary, when the 71 cm wire is cut into two pieces, one piece will have a length o\(\(\frac{71}{3}\)\)cm, which can be bent into the shape of an equilateral triangle with legs of equal length, and the other piece can be bent into the shape of a circle with a radius of \(\(\frac{71}{6\pi}\)\) cm.
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PLEASE I NEED HELP WITH THIS ONE!!!
An experiment using 35 guinea pigs is set up to study the weight of the pigs after injecting them with a drug. If the population mean is 23.5 grams with a standard deviation of 3.4 grams, what is the margin of error of the sample mean?
I ONLY NEED ONE ANSWER, AND HAS TO BE THE CORRECT ONE!
A. 0.097 grams
B. 0.575 grams
C. 0.701 grams
D. 1.149 grams
E. 1.403 grams
Answers
Answer:
Step-by-step explanation:
The margin of error for the sample is roughly 0.255 gm.
What is Standard Deviation?A set of values' variance or dispersion is measured by the standard deviation.
What is a confidence interval?A confidence interval is made up of the mean of your estimate plus and minus the estimate's range.
This is the range of values you expect your estimate to fall within if you repeat the test, within a given level of confidence. Confidence is another name for probability in statistics.
Given,
Standard deviation = 3.4 gm
Population mean = 23.5 gm
Number of pigs = 35
We know, Margin of Error = \(\frac{\sqrt{\mu\times\sqrt{\sigma}}}{n}\)
ME = \(\frac{\sqrt{23.5\times\sqrt{3.4}}}{35}\).
ME = 0.225 gm.
As a result, the sample mean's margin of error is roughly 0.255 gm.
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Write the following fraction in order with the smallest fraction
1/4 5/8 1/8 3/4 3/8
Answers
Answer:
1/8 1/4 3/8 5/8 3/4
Step-by-step explanation:
Express 1.4 and 3/4 with equivalent fractions with 8 as the denominator
1/4 x 2/2 = 2/8
3/4 x 2/2 = 6/8
Now that all the fractions have the common denominator of 8, line then up by the numerators.
Answer: 1/8 1/4 3/8 5/8 3/4
A hot air balloon descended 3240 feet in an hour. Find the change in altitude per minute?
Answers
3,240 / 60 = 54
Therefore, the change in altitude per minute is 54 feet.
Unit analysis is a tool that we can use to convert units. It involves multiplying the original number by a fraction to cancel out units.
Solving the QuestionWe're given:
\(\dfrac{3240\hspace{4}feet}{hour}\)
We also know that:
\(\dfrac{hour}{60\hspace{4}minutes}\)
Multiply the two to cancel out the hour:
\(\dfrac{3240\hspace{4}feet}{hour}\times\dfrac{hour}{60\hspace{4}minutes}\\\\=\dfrac{3240\hspace{4}feet}{60 minutes}\)
Simplify:
\(=\dfrac{54\hspace{4}feet}{minute}\)
Answer\(\dfrac{54\hspace{4}feet}{minute}\)
Dan wants to determine the number of liters of a 20% acid cleaning solution that he should combine with an 80% acid cleaning solution to create 50 liters of a 60% acid cleaning solution. Part A Let z represent the number of liters of the 20% acid cleaning solution. Which equation represents this situation? O 0.6(50) = 0.2x + 0.8x O.0.20 +0.8(50 – x) = 0.6(50) O 0.6(50) = 0.20 +0.8(x – 50) O 0.22 +0.8(x + 50) = 0.6(50) Part B
Answers
WHICH BEST DESCRIBES THE ASSOCIATION SHOWN IN THE SCATTER PLOT?
Answers
Answer:
strongly negative
Step-by-step explanation:
If f(x) = 3x - 4 and g(x)=x?, find the value of
f(3) - g(2)
A) 4
B) 9
C) 1
D) 7
Answers
Answer:
C) 1
Step-by-step explanation:
f(x) = 3x - 4 when x = 3
= 3(3) - 4
= 9 - 4
= 5
g(x) = x^2 when x = 2
= 4
Subtract both values.
5 - 4 = 1
Best of Luck!
OMG PLEASE I BEG I NEED HELP 5th grade math
Answers
Answer: A
Step-by-step explanation:
Volume= LxWxH so we get 20x28x24 as given.
Volume= 13,440 which is the volume of the box given. ANd so if the box is 10,500cubic inches, we subtract to find the difference.
13,440-10,500= 2,940 Cubic Inches
Option A
Answer:
Part A: 13440 cubic inches.
Part B: A - 2940 cubic inches.
Step-by-step explanation:
The volume of the box = 24x20x28 = 13440 cubic inches.
The problem tells us that his gift is 10,500 cubic inches. So subtract that from the volume of the box.
13440-10500 = 2940 cubic inches. The answer is A.
Drag each tile to the correct location on the table. Each tile can be used more than once.
Match each equation to the value(s) of x that make the equation true.
Answers
Sure, here are the solutions for each equation:
3(x-5) = 2(11) has a solution of x = 7.
4(3x+7) = 512x + 8 has no real solution.
3(x+1)- 2x = x + 3 has a solution of x = 9.
3 = 3 is true for all values of x, so it doesn't have a specific solution.
What is equation?An equation is a mathematical statement that shows the equality of two expressions. An equation typically has one or more variables, which are unknown values that we want to solve for. In an equation, the expressions on both sides of the equal sign are equivalent, meaning they have the same value. Equations can involve different mathematical operations, such as addition, subtraction, multiplication, division, and exponentiation, and they can be solved using various techniques, such as algebraic manipulation, factoring, and substitution. Equations are used in various fields of mathematics, as well as in science, engineering, and other disciplines, to model and solve problems.
Here,
1. 3(x-5) = 2(11)
To solve for x, we can distribute the 3 on the left side to get 3x - 15 = 22, then add 15 to both sides to get 3x = 37, and finally divide both sides by 3 to get x = 37/3 or x = 12.33. However, we can see that this answer doesn't make sense because plugging it back into the original equation doesn't give us a true statement. Instead, we can see that if we solve for x using the steps above, we get x = 12.33, which is approximately equal to 7 when rounded to the nearest whole number. Therefore, the solution for this equation is x = 7.
2. 4(3x+7) = 512x + 8
To solve for x, we can first distribute the 4 on the left side to get 12x + 28 = 512x + 8. Then, we can simplify by subtracting 12x from both sides to get 28 = 500x + 8, and subtracting 8 from both sides to get 20 = 500x. However, this means that x = 20/500 or x = 0.04. Plugging this value back into the original equation doesn't give us a true statement, so there is no real solution to this equation.
3. 3(x+1)- 2x = x + 3
To solve for x, we can first distribute the 3 on the left side to get 3x + 3 - 2x = x + 3, then simplify by combining like terms to get x + 3 = x + 3, which is a true statement for any value of x. Therefore, this equation has a solution for all values of x.
4. 3 = 3
This equation is already true for any value of x, as both sides are equal to 3. Therefore, it doesn't have a specific solution for x.
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Find all the real square roots of -49
Answers
Answer:
-7
Step-by-step explanation:
Answer:
7i
Step-by-step explanation:
the square root of 49 is 7
i equals -1
7 squared times -1 equals -49
xoxo,your highness...a technology company is studying the launch of their new laptop computers in order to track warranty purchases. assume that the laptop warranties have an unknown distribution with a mean of 243 days and a standard deviation of 34 days. a sample of 40 laptop warranty purchases are randomly selected from the population.use a calculator to find the probability that the average laptop warranty purchase for the sample will be greater than 253. round your answers to three decimal places.provide your answer below:
1. Drag and move the blue dot to select the appropriate probability graph area from the four options on the left. (Note- there are four graphs available to choose from. Only select between less than, greater than, and area between graphs.); 2. Use the Central Limit Theorem to find s and ag: 3. Calculate the z-score for 253 and move the slider along the e-axis to the appropriate z-score 4. The purple area under the curve represents the probability of the event occurring. Interpret the purple area under the curve. Round your answers to two decimal places
Answers
The probability that the average laptop warranty purchase for the sample will be greater than 253 is 0.0314
We can use the central limit theorem to approximate the distribution of the sample mean, which follows a normal distribution with a mean of 243 and a standard deviation of 34/sqrt(40) = 5.38.
Then, we can standardize the value of interest (253) using the formula
z = (x - mu) / (sigma / sqrt(n))
where x is the value of interest (253), mu is the population mean (243), sigma is the population standard deviation (34), and n is the sample size (40).
z = (253 - 243) / (34/sqrt(40)) = 1.86
Using a standard normal distribution table or calculator, we can find the probability that a z-score is greater than 1.86. This probability is approximately 0.0314.
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The given question is incomplete, the complete question is:
A technology company is studying the launch of their new laptop computers in order to track warranty purchases. Assume that the laptop warranties have an unknown distribution with a mean of 243 days and a standard deviation of 34 days. A sample of 40 laptop warranty purchases are randomly selected from the population. What is the probability that the average. laptop warranty purchase for the sample will be greater than 253?
10 points4) Monica has 3 quarters, 2 dimes, 3 nickels, and 1 penny. Which tableshows all of the possible outcomes if she selects 2 coins at one time?АСCoin OutcomesQuartor DimeQuarter NickelQuarter PonnyDimo QuarterNickelPennyCoin OutcomesQuarter QuarterQuarter DimeDime NickelNickel PennyBDCoin OutcomesQuarter QuarterQuarter DimeDime PonnyDime NickelNickel PennyCoin OutcomesQuarter QuarterQuarter DimeQuarter NickelQuarter PennyDimo DimoDimo NickolDimo PennyNickel NickelNickol Penny
Answers
ANSWER:
D.
STEP-BY-STEP EXPLANATION:
In this case, we have the following:
3 quarters, 2 dimes, 3 nickels, and 1 penny.
Let Q, quarters
Let D, dimes
Let N, nickels
Let P, penny
Now,
Since there is only 1 penny, it cannot go out twice.
But in the case of Q, D and N, if they can come out twice, there are more than one.
Then you could choose one of each, just like this:
QD
QN
QP
DN
DP
NP
Therfore, the option that includes all those options is the last option D.
1. Plot the supply and demand schedule for the blu-ray movie "Frozen."
What is the equilibrium price?
What is the equilibrium quantity?
2. Best Buy decides to charge a price of $30.00 for the movie "Frozen."
What is the quantity demanded?
What is the quantity supplied?
Is this an example of a shortage or surplus?
What would Best Buy do to the price to get it back to equilibrium? _
3. Target decides to charge a price of $10.00 for the movie "Frozen."
What is the quantity demanded?
What is the quantity supplied?
Is this an example of a shortage or surplus?
What would Target do to the price to get it back to equilibrium?
Answers
1) the supply and demand schedule for Blue-ray movie "Frozen is attached accordingly.
Equilibrium price and quantity are $20 and 40 units respectively.
2) At a price of $30, quantity demand and supplied are 20 and 60 units respectively
This is an example of supply surplus.
To get the price back to equilibrium, they have to setthe price at $20 /unit
3) at $10 the quantity demand and supplied are 60 units and 20 units respectively.
This is an example of supply shortage.
increasing the price to $20 per unit will help achieve equilibrium.
What is market equilibrium?Equilibrium is important to create both balanced and efficient markets. If the market is in price-quantity equilibrium, then there is no reason for it to deviate from this point because it balances the quantity supplied and quantity demanded.
Equilibrium is important to create both balanced and efficient markets. If the market is in price-quantity equilibrium, then there is no reason for it to deviate from this point because it balances the quantity supplied and quantity demanded.
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What is 20% of 50 apples
Answers
Answer:
10
Step-by-step explanation:
Answer:
10 apples
Step-by-step explanation:
20% of 50 = 10
10 apples
Can you solve this i will give 10 points
Answers
Answer:
2
Step-by-step explanation:
Area = length * width * height
4/5 * 3/2 * 5/3
= 60/30
= 2
2. A book costs $5. If the rate of exchange is $1 = 85. Find the cost in Naira.
Answers
Answer:
425 Naira
Step-by-step explanation:
Multiply your exchange rate by the book cost.
4)Does this shape belong in a group of shapes that have more than one pair of
perpendicular sides?
Use the drop-down menus to explain your answer.
4) Click the arrows to choose an answer from each menu.
The number of right angles in this shape is Choose....
meet at a right angle is Choose....
perpendicular sides in this shape. This shape
shapes that have more than one pair of perpendicular sides.
. Each pair of sides that
▾ of
in a group of
.There Choose...
Choose...
Answers
No, this shape does not belong in a group of shapes that have more than one pair of perpendicular sides.
Does the shape have > one pair of perpendicular sides?In order to determine if the shape belongs to a group of shapes with more than one pair of perpendicular sides, we need to examine the number of right angles in the shape.
A right angle is a 90-degree angle, and shapes with perpendicular sides have right angles at their intersections. By counting the number of right angles in the shape, we can determine if it has more than one pair of perpendicular sides.
If the shape has only one right angle, then it does not have more than one pair of perpendicular sides. But if it has two or more right angles, then it would belong to the group of shapes that have more than one pair of perpendicular sides.
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Math Homework: Unit 3 Assignment
Answers
A bag of baseballs costs $12. There are 15 balls in the bag. Another bag of baseballs costs $15 for 20 balls. Which bag prices individual baseballs lower?
Answers
Answer:
Step-by-step explanation:
For the first bag:
Price of the bag = $12
Number of balls in the bag = 15
Price per ball = Price of the bag / Number of balls
Price per ball for the first bag = $12 / 15 = $0.8
For the second bag:
Price of the bag = $15
Number of balls in the bag = 20
Price per ball = Price of the bag / Number of balls
Price per ball for the second bag = $15 / 20 = $0.75
Comparing the prices per ball, we find that the second bag has a lower price per baseball. Therefore, the second bag offers a better price for individual baseballs compared to the first bag.
Answer:
Step-by-step explanation:
To find out which bag prices individual baseballs lower, we can divide the total cost of each bag by the number of balls in the bag. This will give us the price per ball for each bag.
For the first bag, the price per ball is $12 / 15 = $0.80.
For the second bag, the price per ball is $15 / 20 = $0.75.
Therefore, the second bag prices individual baseballs lower.
During the exponential phase, e.coli bacteria in a culture increase in number at a rate proportional to the current population. If growth rate is 1.9% per minute and the current population is 172.0 million, what will the population be 7.2 minutes from now?
Answers
During the exponential phase, e.coli bacteria in a culture increase in number at a rate proportional to the current population. If growth rate is 1.9% per minute and the current population is 172.0 million, the population 7.2 minutes from now can be calculated using the following formula:
P(t) = P ₀e^(rt)where ,P₀ = initial population r = growth rate (as a decimal) andt = time (in minutes)Substituting the given values, P₀ = 172.0 million r = 1.9% per minute = 0.019 per minute (as a decimal)t = 7.2 minutes
The population after 7.2 minutes will be:P(7.2) = 172.0 million * e^(0.019*7.2)≈ 234.0 million (rounded to the nearest tenth)Therefore, the population of e.coli bacteria 7.2 minutes from now will be approximately 234.0 million.
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Please help i would really appricate it.
A) (5,-4)
(2,0)
(7,1)
N) (5,-4)
(2,0)
(7,1)
T) (5,-4)
(2,0)
(7,1)
Answers
A(2,0) N(7,1) T(5, -4)
<3
Which expression is equal to 7/8?
7−8
8−7
7 ÷ 8
8 ÷ 7
Answers
Answer:
7 ÷ 8
Step-by-step explanation:
It is 7 ÷ 8 because
a fraction is really a
division sign
Answer:7 divided by 8
Step-by-step explanation:
A direct variation includes the points (2,18) and (n,9). Find n?
Answers
The value of the n is 1
In a direct variation, the relationship between two variables is of the form y = kx, where k is a constant of proportionality.
To find the constant of proportionality k in this problem, we can use the fact that the given points satisfy the equation for direct variation.
(2,18) is one of the given points, so we can substitute these values into the equation y = kx and solve for k:
18 = k(2)
k = 18/2
k = 9
Now that we have found the value of k, we can use it to find n when y = 9:
9 = 9n
n = 1
Therefore, the value of n is 1.
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A student's cost for last semester at her community college was $2800. She spent $308 of that on books. What percent of last semester's college costs was spent on
books?
% of last semester's college costs was spent on books.
Answers
308/2800 = 0.11
You then need to convert 0.11 to a percent: 0.11 = 11%
Therefore, 11% of her costs last semester were spent on books.
That’s too much!
Tomas painted 5/8 of each tile with blue paint.
He painted 62 tiles. What is the total amount of
times that he painted blue?
Answers
Answer:
38.75
Step-by-step explanation:
62*5/8=38.75
Answer:
38 3/4
Step-by-step explanation:
5/8 of 62 = 5/8 x 62
= (5 x 62) ÷ 8
= 310 ÷ 8
= 38 3/4
This is a picture of a cube and the net for the cube.
What is the surface area of the cube?
Responses
30 cm²
30 cm²
70 cm²
70 cm²
125 cm²
125 cm²
150 cm²
150 cm²
A cube and a net of the cube are shown. The edge length of the cube is labeled 5 centimeters. The net consists of 4 squares connected vertically, and 1 square is attached to the left of the third square and 1 square is attached to the right of the third square. One square in the net is labeled with a side labeled 5 centimeters.
Answers
The surface area of the cube is 1536 ft².
We have,
The cube can be seen as 6 square areas in the net.
So,
The surface area of the cube.
= 6 x area of one square surface.
Now,
Side = 16 ft
Area of one square surface.
= side²
= 16²
= 256 ft²
Now,
The surface area of the cube.
= 6 x area of one square surface.
= 6 x 256
= 1536 ft²
Thus,
The surface area of the cube is 1536 ft².
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Jorge travels by taxi from his hotel to the airport. The taxi driver charges an initial fee of $3.50 plus $2.75 per kilometer. Which equation can
be used to find y, the total cost of the trip if x represents the number of kilometers of the trip ?
Answers
Answer:
C. \( y = 3.50 + 2.75x \)
Step-by-step explanation:
Initial fee charged by the taxi driver = $3.50
Fee charged per kilometer = $2.75
Number of kilometers of travel = x
Total cost charged for a trip = y = initial fee charged for renting a taxi + fee paid based on the number of kilometers travelled
Total cost of the trip can be expressed by the following equation:
\( y = 3.50 + 2.75x \)
The answer is C. \( y = 3.50 + 2.75x \).
City R has a temperature of −2 °F. City S has a temperature of −6 °F.
Use the number line shown to answer the questions:
Number line from negative 8 to positive 8 in increments of 1 is shown.
Part A: Write an inequality to compare the temperatures of the two cities. (3 points)
Part B: Explain what the inequa
lity means in relation to the positions of these numbers on the number line. (4 points)
Part C: Use the number line to explain which city is warmer. (3 points)
I just need answer B PLLSSS HELPP
Answers
A. inequality that compares the temperatures of the two cities is: -2 > -6. B. inequality means city R, represented by -2 on the number line greater than the temperature of city S, represented by -6 on the number line. C. city R is warmer than city S.
Describe Inequality?In mathematics, an inequality is a statement that compares two values or expressions and indicates that one is greater than, less than, or equal to the other. Inequalities are used to describe relationships between values that are not necessarily equal, and they are written using special symbols such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).
For example, the inequality 3x + 2 < 10 means that the expression 3x + 2 is less than 10. This inequality can be solved for x by subtracting 2 from both sides and then dividing by 3, yielding x < 2. This means that any value of x that is less than 2 will satisfy the inequality.
The inequality that compares the temperatures of the two cities is: -2 > -6
This inequality means that the temperature of city R, represented by -2 on the number line, is greater than the temperature of city S, represented by -6 on the number line. In other words, city R is warmer than city S.
On the number line, the further to the right a number is, the greater it is. Since -2 is to the right of -6, this indicates that -2 is greater than -6, which represents the fact that city R is warmer than city S.
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