Need help on this please
If a parabola has its vertex at (4, -2). One of its zeros is 1. What is the other zero?
The other zero of the parabola with a vertex at (4, -2) and one zero at 1 is 7, determined by the symmetry of the parabola about its vertex.
If a parabola has its vertex at (4, -2) and one of its zeros is 1, we can find the other zero by using the concept of symmetry about the vertex. Since the axis of symmetry for a parabola with a vertical axis goes through the vertex, we know that the x-coordinate of the vertex will be exactly in the middle between the two zeros. The vertex form of a parabola's equation is typically written as y = a(x-h)² + k, where (h, k) is the vertex. In this case, the vertex is (4, -2).
Knowing that one zero is 1, we can determine that the other zero is equidistant from the vertex on the other side. This means that the distance from the vertex x-coordinate (4) to the known zero (1) is 3 units (4 - 1 = 3). So, counting 3 units in the other direction from the vertex's x-coordinate will give us the second zero: 4 + 3 = 7. Thus, the other zero of the parabola is 7.
How to solve 9x-2y=19
Carson has 0.21 of a dollar. How many different combinations of coins could he have?
The combination of coins Carson can have , 21 pennies, 1 dime, 2 nickels, 1 penny, 4 nickels, 1 penny
What is currency?Currency is anything that is generally accepted to have value as a medium of exchange so that it can be traded for goods and services. The trading system within an economy is based on its currency, which is usually specific to a country and issued by that country's government.
2 dimes, 1 penny
21 pennies
1 dime, 2 nickels, 1 penny
4 nickels, 1 penny
Given that, Carson has 0.21 of a dollar.
So, he can have = 21 pennies [1 penny = 0.01 dollar]
= 2 dimes, 1 penny = 20 cents + 0.01 dollar = 0.21 dollar
= 1 dime, 2 nickels, 1 penny = 10 cents + 10 cents + 0.01 dollars = 0.21 dollar
= 4 nickels, 1 penny = 20 cents + 0.01 dollar = 0.21 dollar
Hence, the combination of coins Carson can have , 21 pennies, 1 dime, 2 nickels, 1 penny, 4 nickels, 1 penny
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You invest $5000 in an account at 5.5% per year simple interest. How much will you have in the account at the beginning of the 6th year?
Answer:
The amount in the account in the beginning of the 6th year is $6375 .
Step-by-step explanation:
Formula
[tex]Simple\ interest = \frac{Principle\times Rate\ times Time}{100}[/tex]
As given
You invest $5000 in an account at 5.5% per year simple interest.
Principle = $ 5000
Rate = 5.5 %
Time = 5 years
(As calculate amount in the account for beginning of 6th year.)
Putting all the values in the formula
[tex]Simple\ interest = \frac{5000\times 5.5\times 5}{100}[/tex]
[tex]Simple\ interest = 50\times 5.5\times 5[/tex]
Simple interest = $ 1375
Amount = Principle + Simple interest
Putting values in the above formula
Amount = $5000 + $1375
Amount = $ 6375
Therefore the amount in the account in the beginning of the 6th year is $ 6375 .
Can you please answer this?
In this box-and-whisker plot, what is the median value of the data?
48
53
56
58
wouldn't it be 54.5 ?
find inverse of f(x)=4x
Share 150 pounds in the ratio 4:1
Final answer:
To share 150 pounds in the ratio of 4:1, divide the total by the sum of the parts of the ratio to find the value of one part, then multiply to find each share. The shares are 120 pounds and 30 pounds.
Explanation:
To share 150 pounds in the ratio of 4:1, you first need to add up the parts of the ratio (4 + 1 = 5 parts). Then, divide the total amount by the number of parts to find out how much one part is worth. In this case, 150 pounds ÷ 5 parts = 30 pounds per part. The ratio dictates that one share should have 4 parts and the other should have 1 part. Therefore, multiply 30 pounds by 4 to find the first share: 30 pounds × 4 = 120 pounds. The second share is just one part: 30 pounds × 1 = 30 pounds.
To summarize, the first person would receive 120 pounds and the second person would receive 30 pounds. This completes the sharing of 150 pounds in a 4:1 ratio.
Unit conversion is not directly relevant to this problem, but if you need to convert units, remember to use the proper conversion factors and set up the appropriate proportion.
To share 150 pounds in the ratio 4:1, divide the weight into 5 parts and allocate 4 parts for one ratio and 1 part for the other ratio. Each part would be equal to 30 pounds.
Explanation:To share 150 pounds in the ratio 4:1, you can divide the total weight into 4 parts for one ratio and 1 part for the other ratio. To find the weight for each part, divide 150 by the sum of the ratio, which is 5 (4+1). Each part would be equal to 150/5 = 30 pounds. Therefore, in the ratio 4:1, the first part would be 4 parts x 30 pounds = 120 pounds, and the second part would be 1 part x 30 pounds = 30 pounds.
Geometry Proof if you can explain to me the process as you do the problem thad be a plus
8 and 1/3 divided by x equals to 2 and 1/3 divided by 8.1. What is x?
13. Find the sales tax for three CDs, if each CD is $1429 and the sales tax is 7.25%.
In an ordered pair,the x-coordinate represents the number of hexagons and the y-coordinate represents the total number of sides.If the x-coordinate is 7, what is the y coordinate
If the x-coordinate is 7, representing 7 hexagons, the y-coordinate, representing the total number of sides, is 42. This is because each hexagon has 6 sides, and 7 hexagons have 7 * 6 = 42 sides.
To find the y-coordinate when the x-coordinate represents the number of hexagons, and the y-coordinate represents the total number of sides, we need to use the properties of a hexagon. A hexagon has 6 sides.
Given that the x-coordinate is 7, this means there are 7 hexagons. Each hexagon has 6 sides, so to find the total number of sides (which is the y-coordinate), you multiply the number of hexagons by the number of sides each hexagon has:
x-coordinate = 7 hexagons1 hexagon = 6 sidesThus,
y-coordinate = 7 hexagons * 6 sides per hexagon = 42 sides
Therefore, if the x-coordinate is 7, the y-coordinate is 42.
i am a 2 digit number. I am the difference of two numbers whose sum is 36. The larger of these numbers is twice the smaller. What number am I?
SOMEONE HELP ME ON HOW TO DO THIS???
I'll give brainliest if you show your work. Plz answer quickly. 0.89 is a square root except the only one that is being divided by 2.
Four students provide the following approximations for the square root of 0.89.
Anyah states that the square root of 0.89 is between 0.44 and 0.45 because of 0.44<0.89/2<0.45.
Matthew states that the square root of 0.89 is between 0 and 1 because of 0< 0.89<1.
Rhoda states that the square root of 0.89 is between 0.9 and 1.0 because of 0.9^2 <0.89<1.0^2
Ming states that the square root of 0.89 is between 0.93 and 0.95 because of (0.93)^2<0.89<(0.95)^2
Which solution(s) are correct?
Anyah's only
Ming's only
Anyah’s, Matthew’s, and Rhoda’s
Matthew’s, Rhoda’s, and Ming’s
The correct option is D. Matthew’s, Rhoda’s, and Ming’s.
Given,
Four students provide the following approximations for the square root of 0.89.
On calculating,
[tex]\sqrt{0.89} =0.943398113[/tex]
Now considering the 4 students approximations,
1. Anyah states that the square root of 0.89 is between 0.44 and 0.45 because of [tex]0.44<0.89/2<0.45.[/tex] This statement of anyah is false because the [tex]\sqrt{0.89} =0.943398113[/tex], hence it not lies in between [tex]0.44[/tex] and [tex]0.45.[/tex]
2. Matthew states that the square root of [tex]0.89[/tex] is between 0 and 1 because of 0< 0.89<1. clearly the value of [tex]\sqrt{0.89} =0.943398113[/tex] lies in between [tex]0[/tex] and [tex]1.[/tex]So this statement is true.
3. Rhoda states that the square root of [tex]0.89[/tex] is between [tex]0.9[/tex] and [tex]1.0[/tex] because of [tex]0.9^2 <0.89<1.0^2[/tex] . this statement is true because the square of [tex]0.9[/tex] is [tex]0.81[/tex] and the square of [tex]1[/tex] is [tex]1[/tex] , and [tex]0.89\\[/tex] lies in between them. So the statement is true.
4. Ming states that the square root of [tex]0.89[/tex] is between [tex]0.93[/tex] and [tex]0.95[/tex] because of [tex](0.93)^2<0.89<(0.95)^2[/tex]. this statement is also true.
Here only Anyah's statement is false.
Hence the correct option is D. Matthew’s, Rhoda’s, and Ming’s.
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reference angle of 400°?
Use a table of function values to approximate an x-value in which the exponential function exceeds the polynomial function. f(x) = 3(4)(2x-4). h(x) = (x + 2)3 + 1.
A) x=-3
B) x=0
C) x=2
D) x= 4
Answer:
The correct option is D.
Step-by-step explanation:
The exponential function is
[tex]f(x)=3(4)^{2x-4}[/tex]
The polynomial function is
[tex]h(x)=(x+2)^3+1[/tex]
Find the values of both functions at x=-3, 0, 2, 4.
x values f(x) h(x)
-3 0.0000029 0
0 0.012 9
2 3 65
4 768 217
From this table we can say that the exponential function f(x) exceeds the polynomial function g(x) at x=4.
Therefore the correct option is D.
What kind of vehicle do you prefer: two-door, four-door or minivan? What types of data will this statistical questions represent?
Answer:
Categorical
Step-by-step explanation:
Take a vote and write it down, take your data and see how the results are.
Kate is driving to visit her friend. Her gas tank starts at 55 liters. Each time the tank is down to 3 liters she refills it. She does this two times. At the last refill Kate uses allot the gas in the tank. Her car gets 8 kilometers per liter. What is the distance she gets in miles?
Each time Kate refills her gas tank, she would consume 52 liters since it was stated in the problem that there will always be 3 liters of gas before she refills the tank. It was stated that she refilled her tank for two times which means she was able to consume 104 liters (52 liters x 2). It was stated in the problem as well that Kate uses allot the gas in the tank so she consumed the remaining 3 liters in her tank. This means that the total liter she was able to consume was 107 liters (104 liters + 3 liters). To find the distance she gets in miles, you need to multiply the distance covered per liter to the total liter consumed by Kate. Therefore, she was able to get 856 miles (107 liters x 8 kilometers per liter).
What is the greatest value of the data represented by the box plot?
Enter your answer in the box.
20 POINTS AND BRAINLIEST!!! Three dentists wanted to compare the ages of their patients. They each calculated their patients’ mean age and the mean absolute deviation of their ages. They displayed the results in a table.
Which statements are true?
Select each correct answer. YOU CAN PICK MORE THAN ONE ANSWER
A. Dr. Appiah’s patients’ ages vary more than do Dr. Cantwell’s patients’ ages.
B. Dr. Appiah’s patients’ ages vary less than do Dr. Singh’s patients’ ages.
C. Dr. Singh’s patients’ ages and Dr. Appiah’s patients’ ages vary about the same amount.
D. Dr. Cantwell’s patients’ ages and Dr. Singh’s patients’ ages vary about the same amount.
Which expression is equivalent to
1/2(2+3x−6)
How long is a kilometer in comparison to .5 mile?
Midstate has averaged 1.2 inches of rain for each of the last ten months. For how many months must the Midstate average 1.6 inches of rain to bring the overall average rainfall for the period to 1.5 inches?
To determine whether the inverse of a function is a function, you can perform the vertical line test. A. True B. False
Jessie set up a lemonade stand for three days. On Saturday, she sold 10 2/3 gallons of lemonade. On Saturday, she sold 3 1/3 gallons more than she sold Saturday. On Monday, she sold 2 2/3 gallons Less than she sold on Saturday. How many gallons of lemonade did Jessie sell on Monday?
The number of gallons of lemonade did Jessie sell on Monday was 14/3.
Organizing the information given in the statement, we have that:
On Saturday, she sold 10 2/3 gallons of lemonadeOn Sunday, she sold 3 1/3 gallons more than she sold SaturdayOn Monday, she sold 2 2/3 gallons Less than she sold on sundayCalculating how many gallons were sold, we have:
[tex]= 10 (2/3) - 3(1/3)\\= 32/3 - 10/3\\= 22/3[/tex]
For monday we have:
[tex]=2(2/3)-22/3\\=22/3-8/3\\=14/3[/tex]
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Andrew and Emily are playing a word game. For each correct answer, they earn 10 points, and for each incorrect answer, they lose 5 points. At the end of the game, Andrew has 55 points and Emily has -10 points. How many more points does Andrew have then Emily has ?
65 more points Andrew than Emily has in order to have the same points.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
Given that, Andrew and Emily are engaged in wordplay. They receive 10 points for each accurate response, and they deduct 5 points for each erroneous response. Andrew has 55 points at the end of the game, while Emily has -10 points.
We have to apply the subtraction operation to find how many more points Andrew has than Emily has,
In mathematics, subtraction is defined as the difference between two quantities. The application of subtraction can be used broadly in different applications to find or solve the problems such as finding differences between two quantities and many more.
=55-(-10)
=65
Thus, 65 more points for Andrew than Emily in order to have the same points.
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Help me with this .
Natasha wants to treat her friends to the movies. The tickets cost $11 each and she also wants to spend $21 worth of popcorn and candy for her friends to share. She can spend under $131. Write an inequality to represent how many people she can treat to the movies
Natasha can treat a maximum of 10 people to the movies.
Explanation:To determine how many people Natasha can treat to the movies, we can set up an inequality equation.
Let's say she wants to treat x number of people.
The amount she spends on tickets is $11x, and the amount she spends on popcorn and candy is $21. Since she can spend under $131, the inequality equation would be:
11x + 21 < 131.
To find the maximum number of people Natasha can treat, we need to solve this inequality:
11x + 21 < 131
11x < 110
x < 10
Natasha can treat a maximum of 10 people to the movies.
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