What is the vertex of the quadratic function f(x) = (x – 3)(x - 2)?
Answer:
The vertex is: [tex](\frac{5}{2},-\frac{1}{4})[/tex]
Antonia is using the calculator shown to find the value of
1,035 x 6. What key on the calculator should she press first?
1.) 1
2.) +/-
3.) C
4.) /
Answer:
1.) 1
Step-by-step explanation:
If U = 3 inches, V = 5 inches, W = 8 inches, X = 6 inches, Y = 8 inches, and Z = 4 inches, what is the area of the object?
Answer:
46.5 inches
Step-by-step explanation:
if you plug all the numbers in and then change them into simple shapes, like a square, rectangle, and triangle, you can just add the areas to those shapes and add them together.
The area of the object is: 61.5 Sq.in
What is the Area of the Composite figure?
The formula for area of a rectangle is:
Area = Length * Width
Formula for the Area of a Trapezium is:
Area = ¹/₂ * (sum of parallel sides) * height
Area of composite figure is: (¹/₂ * (W + Y - U) * (V - X - Z)) + [(X - Z) * (Y - U)] + (Y * Z)
Area of composite figure is: (¹/₂ * (8 + 8 - 3) * (5 - (6 - 4)) + [(6 - 4) * (8 - 3)] + (8 * 4)
= 19.5 + 10 + 32
= 61.5 Sq.in
Pan Bartek kupił 15 sadzonek kwiatów i zapłacił za nie 67,50 zł. Pan Michał kupił 50 sadzonek w tej samej cenie za jedną sztukę.
O ile złotych więcej zapłacił za sadzonki pan Michał niż pan Bartek? Wybierz właściwą odpowiedź spośród podanych.
A. 22,50 zł B. 157,50 zł C. 202,50 zł D. 225 zł
Answer:
Option D: 225 zł
Step-by-step explanation:
(English question:
Mr. Bartek bought 15 flower seedlings and paid PLN 67.50 for them. Mr. Michał bought 50 cuttings at the same price for one piece.
How much more did Michał pay for seedlings than Mr. Bartek? Choose the right answer from the given ones.
A. 22.50 PLN B. 157.50 PLN C. 202.50 PLN D. 225 PLN)
We can solve this problem using a rule of three:
If Mr. Bartek bought 15 flowers seedlings for 67.5, Mr. Michal that bought 50 flowers seedlings will pay what price (If he pays the same price per unit that Mr. Bartek paid)?
15 seedlings -> PLN 67.5
50 seedlings -> PLN X
15/50 = 67.5/X
X = 50*67.5/15 = 225
The correct option is D: 225 zł
Based on the boxplots, which statement below is true? A) The range of both plots is about the same. B) The means of both plots are approximately equal. C) Plot B contains more data points than Plot A. D) The medians are approximately equal.
Answer: A. The range of both plots is about the same.
Step-by-step explanation:
The question asks about boxplots but does not provide the actual boxplots to analyze. Nonetheless, the answer describes what each statement means in relation to boxplots. The true statement would depend on graphical interpretation of the provided boxplots.
Explanation:Without actual boxplots, it is not possible to definitively answer this question. However, I can provide you with a brief description of each of the given options.
The range of both plots is about the same: This implies that the lowest and highest values of both data sets are similar.The means of both plots are approximately equal: This suggests that the average values of both data sets are similar.Plot B contains more data points than Plot A: This isn't usually determinable by a boxplot since boxplots show the spread and distribution of data, not the quantity of data points.The medians are approximately equal: This implies that the mid-values of the data sets are similar.In general, to get a correct answer, study the two boxplots together, comparing their ranges, means, and medians.
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Boxes of Candy (x)
Pieces of Candy )
10 150
9 135
2 30
6 90
3 45
Find the constant of proportionality for the table and write in the form Y=kx
A) y= 1/15x
B) y=10x
C) y = 15x
D) y = 150x
PLEASE HELP WITH THIS MATH PROBLEM
Answer:
3y - 10
———
2
Step-by-step explanation:
Ten less than 40% of a number is -4. Please just write out equation >~
Answer:
Number is "n"
(.40 * n) -10 = -4
Step-by-step explanation:
The phrase 'ten less than 40% of a number is -4' can be translated into a mathematical equation as 0.4x - 10 = -4. By using the rules of algebra, we can simplify this equation to find that the unknown number x equals 15.
Explanation:The question deals with an equation involving the term 'ten less than 40% of a number'. This phrase can be translated into a mathematical equation as follows: 0.4x - 10 = -4, where x is the unknown number we're trying to find.
Following the rules of algebra, you would want to simplify this equation as much as possible. Let's add 10 to both sides of the equation, which gives us 0.4x = 6. To isolate 'x', we divide both sides of the equation by 0.4, which gives us x = 6 / 0.4. When you perform this division, you find that x = 15.
Thus, the number that 'ten less than 40% of' equals -4 is 15.
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You found a pair of $35 shoes for 25% off! How much of a discount will be taken at the register?
Answer:
$8.75
Step-by-step explanation:
35 * .25 = $8.75
Lin wants to know how many games teenagers in the United States have on their phones.
What is the population for Lin's question?
The population for Lin's question is all teenagers in the United States who use smartphones. Selection bias and the method of surveying can cause data variations, and the sample size must be large enough and representative to obtain accurate findings.
Explanation:The population for Lin's question regarding how many games teenagers in the United States have on their phones is all teenagers in the United States who own and use smartphones. It is implied that Lin is interested in the averages or trends among this specific age group with regard to digital game ownership.
When considering data collection, several factors can cause variations in the results. For instance, adolescents' access to different technologies, social and economic factors, and varying interests can all influence the number of games they have on their phones. Additionally, methods of surveying can affect accuracy, such as if the respondents are primarily contacted by landline or mobile phone, reflecting different demographic characteristics. The trend towards mobile phone usage as opposed to landlines, selection bias, and the changing communication preferences of younger generations all emphasize the need for researchers to employ diverse methods in collecting data to ensure representativeness of the surveyed population. Moreover, the sample size and how well it represents the overall population is critical in obtaining reliable results.
The sufficiency of the sample size depends on the population being studied. If the sample consists solely of students from one school, it may not be representative of the wider population of teenagers in the United States. However, when the population is as large and diverse as school-aged children and young adults across the entire United States, a much larger and varied sample would be needed to appropriately reflect the population and offer meaningful conclusions.
The table and the graph below each show a different relationship between the same two variables, x and y:
How much more would the value of y be in the table than its value on the graph when x = 11?
(answers)
110
150
215
275
Answer:
if x = 11 then y = 660
Step-by-step explanation:
when the x increases by 1 at a constant rate, the y increases by 60 at a constant rate
so, if we keep moving forward with the table, you'll easily see that when x = 11, y = 660
The value of y would be 275 more in the table than on the graph when x = 11. Hence the correct option is 4.
The value of y would be 275 more in the table than its value on the graph when x = 11.
By substituting x = 11 into the equation y = 10 + 2x, we get y = 10 + 2(11) = 32 for the graph.
From the table, the corresponding value for y when x = 11 is 307.
Thus, the difference in the value of y between the table and the graph is 307 - 32 = 275.
A business has $15,000 to spend on airline tickets to travel to a conference. It wants 27 of its employees to attend. The business wants to buy as many business-class seats as possible. The business-class seats cost $700. The economy-class seats cost $375. Create a system of equations that models how many of each type of ticket the business should purchase.
700x + 375y = 27
x + y = 15,000
x + 375y = 15,000
700x + y = 27
700x + y = 15,000
x + 375y = 27
700x + 375y = 15,000
x + y = 27
Answer:
Here is the correct system of equations:
700x + 375y = 15,000
x + y = 27
The system of equations that models how many of each type of ticket the business should purchase is 700x + 375y = 15,000; x + y = 27. option D
How to write system of equation?
Let
x = the number of business class.
y = the number of economy
x + y = 27 (1)
700x + 375y = 15000 (2)
Multiply (1) by 700
700(x + y) = 700(27)
700x + 700y = 18900 (3)
Subtract (2) from (3)
700x + 375y = 15000 (2)
700x + 700y = 18900 (3)
-325y = -3900
Divide both sides by -325
y = -3900/-325
y = 12
Recall
x + y = 27
x + 12 = 27
x = 27 - 12
x = 15
Therefore, the business should purchase 15 business class and 12 economy class.
Complete question:
A business has $15,000 to spend on airline tickets to travel to a conference. It wants 27 of its employees to attend. The business wants to buy as many business-class seats as possible. The business-class seats cost $700. The economy-class seats cost $375. How many of each type of ticket should the business purchase?. A) 11 business class and 16 economy class. B) 12 business class and 15 economy class. C) 15 business class and 12 economy class. D) 16 business class and 11 economy class
If the area of a rectangle is 162 square meters, what is the length of the base
Answer:
If the long side is down then the length of the base is 81 sq.m.
If the short side is down then the length of the base is 20.25 sq.m.
Step-by-step explanation:
162/4 is 40.5 that means if this were a square it would be 40.5 sq.m. On each side, if the base is longer you multiply 40.5 by 2 (or whatever youre supposed to honestl) and if the base is shorter you divide by 2 (or whatever you were supposed to)
Answer:
8m
Step-by-step explanation
The sum of two numbers is 98. One number is 76 less than the other.
Answer:
Step-by-step explanation:
1. n + y = 98
2. n = 76 - t
Answer:
11 and 87
Step-by-step explanation:
Let's create an equation to solve this. (I know that it is just subtraction, but equations are great ways to understand concepts.)
We can represent each number as "n"
In that case, we have:
n + (n - 76) = 98
Grouping n's:
2n - 76 = 98.
Adding 76 to both sides:
2n = 174
Dividing by 2:
87.
Plug-and-chug:
87 + (87 - 76) = 98
Thus, our final answer is that one number is 11, the other 87.
2. A student had taken six tests and received scores of 88, 73, 81, 83, 79, 94. The seventh test
was coming up and the student wants to know:
a. What was needed on the 7th test to have a mean score of 83. Find the 7th test score.
b. Find the median and mode using the 7th test score from part a.
Median
Mode:
Answer:
a) 83
b) mean and mode are both 83
Step-by-step explanation:
a) mean is the average. so add all the numbers and divide by the number of numbers.
88 + 73 + 81 + 83 + 79 + 94 + T = 83
7
b) median - put the numbers in numerical order, smallest to largest, what is the middle number (4th number) 73, 79, 81, 83, 83, 88, 94
mode - which number shows up most frequently?
Write this equation in slope intercept form 3x+2y=4
To write the equation 3x + 2y = 4 in slope-intercept form, subtract 3x from both sides, then divide each term by 2. The slope-intercept form of the equation is y = (-3/2)x + 2.
Explanation:
To write the equation 3x + 2y = 4 in slope-intercept form, we need to isolate y on one side of the equation.
Step 1: Subtract 3x from both sides to get 2y = -3x + 4.
Step 2: Divide each term by 2 to get y = (-3/2)x + 2.
Therefore, the equation 3x + 2y = 4 in slope-intercept form is y = (-3/2)x + 2.
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Answer:
Step-by-step explanation:
The flying squirrel of eastern Texas can drop a height of 60 feet. A function that approximates this drop is h=-16t^2+60, where h is the height in feet and t is the time in seconds. About how many seconds does it take for the squirrel to drop 60 feet?
Answer:
About 1.94 seconds
Step-by-step explanation:
The quadratic equation gives the height of the squirrel from its starting position, which is 60 feet above ground.
The equation is:
[tex]h=-16t^2+60[/tex]
To find time it takes to "drop" 60 feet, means the ground level, where height is equal to 0.
Or, h = 0
We substitute h = 0 into the equation and solve for t:
[tex]h=-16t^2+60\\0=-16t^2+60\\16t^2=60\\t^2=3.75\\t=\sqrt{3.75}\\t=1.94[/tex]
So, it takes the squirrel about 1.94 seconds to drop 60 feet
It takes the squirrel about [tex]\( \boxd{1.94} \)[/tex] seconds to drop 60 feet.
Step 1
Given the equation [tex]\( h = -16t^2 + 60 \)[/tex] where h is the height in feet and t is the time in seconds.
To find the time it takes for the squirrel to drop 60 feet (reaching the ground), we set [tex]\( h = 0 \)[/tex] and solve for t :
[tex]\[ -16t^2 + 60 = 0 \][/tex]
Add [tex]\( 16t^2 \)[/tex] to both sides:
[tex]\[ 16t^2 = 60 \][/tex]
Step 2
Divide both sides by 16:
[tex]\[ t^2 = \frac{60}{16} \]\[ t^2 = 3.75 \][/tex]
Take the square root of both sides:
[tex]\[ t = \sqrt{3.75} \]\[ t \approx 1.94 \][/tex]
So, it takes the squirrel about [tex]\( \boxd{1.94} \)[/tex] seconds to drop 60 feet.
what is the first 4 digits of pi
Hey!!!
Here's your answer:
Actually the value of pi is 22/7 and when we divide 22 by 7 ,it equals to 3.142857143.
So,the first 4 digits of pie is 3.142
There is one miracle about pi.
And that is
first digit of pie(3)
= The third month is march.
Albert Einstein was born in march14 and Stephen Hawking was dead in march 14.
Sorry,if u did not understand what I mean to say...
I am not good at giving explanations.....:(
hello could any pls help this is due rnnn
please and thankk youuu
Answer:
Step-by-step explanation:
C is the answer plz mark as brainliest answer
The table below displays the purchases that Graphic DesignWorks made from
a manufacturer this year for hats. If Graphic DesignWorks uses LIFO, and it
has 100 hats left in its inventory, what is the value of its current stock?
Month of Number
Purchase of hats
June 50
July
75
August 100
September 75
Price
per hat
$12
$14
$10
$13
O A. $1225
O B. $1300
O c. $1200
O D. $1150
Answer:
B. $1300
Step-by-step explanation:
The 100 hats remaining in inventory are the first 100 hats purchased in the period, so are 50 hats purchased for $12 each in June, and 50 hats purchased for $14 each in July. The value of this inventory is ...
50($12) +50($14) = $600 +700 = $1300
Answer:
1225
Step-by-step explanation
Joe is making lemonade by adding 6 5/8 cups of water. It is too strong, so he adds 1 5/8 cups more. How much water does Joe use?
Answer:
8 1/4 or 8 2/8
Step-by-step explanation:
6+1= 7
5/8+5/8= 10/8 or 1 2/8
1 2/8 + 7= 8 2/8
Simplify
8 1/4 cups
In making his lemonade, Joe uses a total of 8 1/4 cups of water. He initially adds 6 5/8 cups, then adds an additional 1 5/8 cups when the lemonade is too strong.
Explanation:Joe is making lemonade and initially adds 6 5/8 cups of water. When he finds it too strong, he adds another 1 5/8 cups of water. To calculate the total amount of water Joe uses, we add the two quantities of water together:
First, add the whole numbers: 6 + 1 = 7 cupsNext, add the fractions: 5/8 + 5/8 = 10/8 = 1 2/8 = 1 1/4 cupsAdding these results together, Joe uses a total of 7 cups + 1 1/4 cups = 8 1/4 cups of water in his lemonade.
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2x – 8x + 6
What is the answer when factoring this equation
By visual inspection, determine the best fitting repression model for the scatterplot
A. Quadratic
B. No pattern
C. Linear
D. Exponential
Answer:
D. Exponential
Step-by-step explanation:
The point are going down at an exponential rate.
What is the relationship between a
square root, exponent, and a
logarithm?
I NEED HELP IMMEDIATELY!!! Allen has four times as many cards as Bob, and Jane has twice as many cards as Allen. Together, Allen and Jane have 468 cards. How many cards do Allen, Jane, and Bob each have?
Answer:
Allen- 144 cards
Jane- 288 cards
Bob- 36 cards
Step-by-step explanation:
Here's what we know:
a = 4b (Allen has 4 times Bob's cards)
j = 2a (Jane has twice Allen's)
a + j = 432 (Allen and Jane have 432 cards all together)
Start with substituting:
4b + 2a = 432
4b + 2(4b) = 432
Distribute:
4b + 8b = 432
Simplify:
12b = 432
Divide both sides by 12:
b = 36
To find how much Allen has just multiply 36 times 4.
a= 144 cards
To find how much Jane has multiply 144 times 2.
j= 288 cards
Answer:
156
312 and
39
Step-by-step explanation:
Let Allen be A , Jane be J and Bob be B
Allen has 4 times as Bob
So
A = 4B
Jane has twice as Allen
So
J = 2A
Together, Allen and Jane has 468 cards
A + J = 468
Substitute 2A for J in the third equation.
We have
A + J = 468
A + 2A = 468
3A = 468
Divide both sides by 3
3A/3 = 468/3
A = 156
Recall
A = 4B
Therefore
156 = 4B
Divide both sides by 4
156/4 = 4B/4
39 = B
B = 39
Also,
J = 2A
J =2 x 156
J = 312
Allen has 156 cards
Jane has 312 cards and
Bob has 39 cards
1. What is the slope of the line that passes through (-2, 6) and (8, 1)?
a. -1/2
b. 1/2
c. -2
d. 2
Answer:
- 1/2
Step-by-step explanation:
[tex]slope = \frac{1 - 6}{8 - ( - 2)} = \frac{ - 5}{8 + 2} = \frac{ - 5}{10} = - \frac{1}{2} \\ [/tex]
Please help this is my math homework
Answer:
Friend PLEASE UPLOAD THE PICTURE PROPERLY IT IS NOT READABLE
e^x=59 round to the nearest ten-thousandth
When looking at the unit circle, what do you notice about the value of sine and the value of the y coordinate?
a the values are the same
C. the values are opposites
b. the absolute values are different
d. none of the above
Answer:
a. the values are the same.
Step-by-step explanation:
The sine = y-coordinate / hypotenuse. The unit circle has hypotenuse = 1, so
the sine = y /1 = y.
Final answer:
The value of the sine of an angle on the unit circle is the same as the y-coordinate of the corresponding point on the circle, as the sine function is defined as the ratio of the opposite side to the hypotenuse in a right triangle.
Explanation:
When looking at the unit circle, we can observe that the value of the sine of an angle is indeed the same as the y-coordinate of the point on the unit circle at that angle. In other words, if we take a point on the unit circle at an angle θ from the positive x-axis, its coordinates can be expressed as (cos(θ), sin(θ)). Therefore, the sine of the angle gives us the y-coordinate of the point on the circle. This relationship is a direct consequence of how the trigonometric functions are defined in the context of a right triangle, where the sine of an angle is the length of the side opposite to the angle (y) divided by the hypotenuse (which is 1 for the unit circle).
What value of m makes the system of linear equations mx − y + 3 = 0, (2m − 1)x − y + 4 = 0 have no solution?
Answer:
m ≠1 ( all m in R except 1 )
Step-by-step explanation:
hello :
mx − y + 3 = 0.....(*)
(2m − 1)x − y + 4 = 0 ....(**)
multiply (*) by : -1 you have : -mx+y-3=0 ....(***)
(2m − 1)x − y + 4 = 0 ....(**)
add(***) and(**) : -mx+ (2m − 1)x+1 =0
(2m-m-1)x+1=0
(m-1)x = -1
this system have no solution if : m-1≠0 means : m ≠1