What are the features of the quadratic function graphed in the figure?
A) Vertex = (–3,4), y-intercept = (0,–5), x-intercepts = (1,0) and (5,0), axis of symmetry is x = –3
B) Vertex = (–4,3), y-intercept = (5,0), x-intercepts = (0,1) and (0,5), axis of symmetry is x = –4
C) Vertex = (–3,4), y-intercept = (0,–5), x-intercepts = (–5,0) and (–1,0), axis of symmetry is x = –3
D) Vertex = (3,–4), y-intercepts = (–1,0) and (–5,0), x-intercept = (0,5), axis of symmetry is x = 3
The correct option is A) Vertex = (–3,4), y-intercept = (0,–5), x-intercepts = (1,0) and (5,0), axis of symmetry is x = –3.
What is quadratic function ?A quadratic function is a type of polynomial function with a degree of two, represented by a parabolic curve when graphed, and can have a maximum or minimum point known as the vertex.
To determine the correct option, we need to compare each feature given in the options with the graph. Here are the steps:
Step 1: Identify the vertex of the graph.
From the graph, we can see that the vertex is located at (–3,4).
Step 2: Identify the y-intercept.
From the graph, we can see that the y-intercept is located at (0,–5).
Step 3: Identify the x-intercepts.
From the graph, we can see that there are two x-intercepts located at (1,0) and (5,0).
Step 4: Identify the axis of symmetry.
The axis of symmetry is the vertical line that passes through the vertex and divides the parabola into two symmetric halves. From the graph, we can see that the axis of symmetry is the vertical line x = –3.
Comparing the features given in the options with the graph, we can see that option A matches all the features correctly.
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Which expression correctly represents "six more than the quotient of three and a number, decreased by eight"?
6+3/n-8
6+n/3-8
6+3/n+8
6+n/3+8
The option A is correct because the value of the statement is 6+3/n-8.
According to the statement
we have given that the statement and we have to write the statement in the numerical form.
So, For this purpose
we know that the given statement is
"Six more than the quotient of three and a number, decreased by eight".
In this statement "Six more than" indicates the sum between the quotient and 6.
And "The quotient of three and a number" indicates a fraction where the numerator is 3 and the denominator is , a number.
"Decreased by eight" indicates a subtraction between the quotient an 8 units".
If we unit all parts of the statements, we would have
6+3/n-8
So, From the given statement, The option A is correct because the value of the statement is 6+3/n-8.
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finding values of products and quotient functions
\(( \frac{r}{s} )(3) = \)
The product and the quotient of the functions are as follows:
(rs)(4) =8
(r / s)(3) = 2
How to solve function?A function relates input and output. It relates an independent variable with a dependent variable.
Therefore, let's solve the function as follows:
r(x) = 2√x
s(x) = √x
Therefore, let's find
(rs)(4) = r(4) × s(4) = 2√4 × √4 = 4 × 2 = 8
Let's find
(r / s)(3) = r(3) / s(3) = 2√3 / √3 = 2
Therefore,
(rs)(4) =8
(r / s)(3) = 2
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Help me plzzzzzzzzzzzzz
Answer: Here is the answer
Step-by-step explanation:
So 1 ton = 2,240 pounds
12,000 divided by 2,240 and you get 5.357
So you would round it and get 6
I think...
equation will solve the following word problem? Gina's income is $28,000, which is $2,000 less than twice what Frank makes. What is Frank's income?
Answer:
2x - 2,000 = 28,000
Step-by-step explanation:
1. Define Variables
Frank's Income = x
2. Write Equation
2x - 2,000 = 28,000
3. Solve (if necessary)
2x - 2,000 = 28,000
2x = 30,000
x = 15,000
A new board game comes with a deck of 20 cards: 5 red, 3 blue, 2 orange, and 10 green.
After the deck is shuffled, the player is to choose the top card and note its color, replace
the card, shuffle the deck again, and then choose the top card again and note its color.
What is the probability that both cards selected are blue?
A.3%
B.2.25%
C.9%
D.6.25%
Answer:
B
Step-by-step explanation:
3/20x3/20=
15/100x15/100
The area of a trapezium is 156cm2, the parallel sides are 17cm and 35cm respectively. What is the height of the trapezium
Answer:
6 cm
Step-by-step explanation:
You want the height of a trapezium with bases 17 cm, 35 cm and area 156 cm².
Area formulaThe formula for the are of a trapezium is ...
A = 1/2(b1 +b2)h
Filling in the given values, we have ...
156 = 1/2(17 +35)h = 26h
6 = h . . . . . . . . . . divide by 26
The height of the trapezium is 6 cm.
Answer:
6cm
Step-by-step explanation:
To find:-
The height of the trapezium.Answer:-
We are here given that the area of the trapezium is 156cm² and two of the parallel sides are 17cm and 35cm .We are interested in finding out the height of the trapezium.
The area of the trapezium is given by the formula,
\(:\implies \sf Area =\dfrac{1}{2}\times (s_1+s_1)\times h \\\)
where s1 and s2 are the || sides of the trapezium and h is the height of the trapezium.
Now on substituting the respective values in the given formula, we have;
\(:\implies \sf 156cm^2 =\dfrac{1}{2} (17cm+35cm)\times h \\\)
\(:\implies \sf 156cm^2(2) = 52cm (h) \\\)
\(:\implies \sf h =\dfrac{156(2)}{52} cm\\\)
\(:\implies \sf \pink{ height = 6 cm }\\\)
Hence the height of the trapezium is 6cm .
Questions 16. Santhosh and Co. Chennai, opened a branch at Trichy on 1.1.2018. The following Information relate to the branch for the year 2018.
40,000
36,000
9,000
7200
3,600
30,000
16,200
300
3,000
Prepare branch account to find out the profit or loss of branch. Santosh & Co, Chennai opened its branch in Trichy on 1.1.2018. The action for 2018 is as follows
Credit sales at branch
Office expenses by Head office
Cash remittance to branch for petty cash Stock 31.12.2018
Goods sent to Branch
Salaries paid by head office
Debtors 31.12.2018
Petty cash on 31.12.2018
Cash sales at branch
of
The preparation of the branch's income statement for Santosh & Co. Chennai is as follows:
Branch of Santosh & Co. Chennai
Income StatementFor the year ended December 31, 2018
Sales revenue $40,300
Cost of goods sold 4,200
Gross profit $36,100
Expenses:
Office expenses $36,000
Salaries 3,600
Total expenses $39,600
Loss $3,500
What is an income statement?An income statement is a financial statement prepared at the end of an accounting period to determine the profit or loss generated by a business or branch.
The profit or loss is the difference between the total revenue and the total expenses for the accounting period.
Credit sales at branch 40,000
Office expenses by Head office 36,000
Cash remittance to branch for petty cash 9,000
Goods sent to Branch 7,200
Salaries paid by head office 3,600
Debtors 31.12.2018 30,000
Petty cash on 31.12.2018 16,200
Cash sales at branch 300
Stock of 31.12.2018 3,000
Sales revenue $40,300 ($40,000 + $300)
Cost of goods sold $4,200 ($7,200 - $3,000)
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Evaluate the expression
Answer:
3rd Option: 1
Step-by-step explanation:
Step 1: Define
(x + 4)/3x
x = 2
Step 2: Substitute and Evaluate
(2 + 4)/3(2)
6/6
1
Write a function rule for
Answer:
x^2
Step-by-step explanation:
1^2=1
2^2=4
3^2=9
I NEED YOUR HELP!! I'LL. GIVE YOU BRAINLIEST
Answer: ∠16 and ∠11
Step-by-step explanation:
All of these answer options include ∠16, so we know we're looking for an angle that is corresponding to ∠16. A corresponding angle is an angle that is in the same relative position. We will look at ∠9, ∠11, ∠2, and ∠12 since those are the given answer options, and see which is corresponding.
The correct corresponding angles are ∠16 and ∠11.
What is the slope of the line described by 2x - y = 6?
A. m = 2
B. m = -2
C. m = 1/2
D. m = -1/2
Answer:
A
Step-by-step explanation:
PLEASE HELP
(delta math)
Triangle IJK is formed by connecting the midpoints of the side of triangle FGH.
The lengths of the sides of triangle IJK are shown. What is the length of FH?
Figures not necessarily drawn to scale.
H
5
5
hi me ////// ///////////
The endpoints of a diameter of a circle are (2,4) and (−4,7).
What is the standard form of the equation of this circle?
Answer:
(x+1)²+(y-5.5)²=11.25
Step-by-step explanation:
1) the common view is:
(x-x₀)²+(y-y₀)²=r², where x₀, y₀ - coordinates of the centre, r - the length of the radius;
2) the coordinates of the centre can be calculated:
\(x_0=\frac{2-4}{2}=-1; \ y_0=\frac{4+7}{2}=5.5.\)
3) the length of the radius is:
\(r=\sqrt{(-1-2)^2+(5.5-4)^2}=\sqrt{11.25}.\)
4) if the centre is (-1;5.5) and r²=11.25, then it is possible to make up the required equation:
(x+1)²+(y-5.5)²=11.25
Answer:
The other answer is WRONG. INCORRECT. NON-RIGHT! My answer is correct, do NOT delete it. The correct answer is (x+1)^2 + (y-11/2)^2 = 45/4. This is how the system wants it! Want proof? I have this question and all others screenshoted for your convenience.
HERE IS PROOF YOU MORON WHO DELETED MY ANSWER
The mean of 6 numbers is 12.
The numbers are in the ratio 1 : 1 : 1 : 1 : 2 : 3.
Find the range.
Answer:
range = 16
Step-by-step explanation:
The total of all the numbers = mean x number of values = 6 x 12 = 72
The ratio of the numbers is
1: 1: 1: 1:2 :3
The sum of the ratios is 9
So the numbers in the ratio of 1 must be 1/9 x 72 = 8
The number with a ratio of 2 must be 2 x 8 = 16
and finally the number with the ratio of 3 = 3 x = 24
The range of the numbers is 24-8 = 16
What’s 6 and 2/3 divided by 8
Answer: 5/6
Step-by-step explanation:
Answer:
6 divided by 8 is 3/4 (.78)
2/3 divided by 8 is 1/12 (0.083)
6 2/3 divided by 8 is 5/6 (0.83)
Describe how to solve 3-7n=27
Answer:
n = -24/7
Step-by-step explanation:
3 -7n = 27
-7n = 24 Subtract 3 from both sides
n = -24/7 Divided by -7 both sides
So, the answer is n = -24/7
Answer:
Below
Step-by-step explanation:
Subtract 3 from both sides of the equation THEN divide both sides of the equation by - 7
Please Help Me, I’d Really Appreciate It.
Write the following fraction as a decimal: 2/5
0.25
2.5
0.4
4.0
Answer:
It's 0.4
Step-by-step explanation:
2/5 = 40/100 = 4/10 = 0.4
Hope that helps :)
which of these equations or inequalities below are true 4 - 5< -2
Answer:
4-5<-2 is false it should be 4-5>-2
Step-by-step explanation:
Answer:b
Step-by-step explanation:
50 students in the fourth grade class list of their hair and eye colors in the table below are the events green eyes and brown hair independent
Answer:
câu này là 500 nhen
Evelyn earns $8.00 per hour. How much does she earn in 4 hours?
Answer:
32 dollars
Step-by-step explanation:
Answer:
Evelyn earned $32.00 in 4 hours.
Step-by-step explanation:
To solve this question, just multiply 8 by 4.
8 x 4 =$32
Therefore, Evelyn earned $32.00 in 4 hours.
Hope this helps! :D
how do i know which one?
The inequality value that would be able to show/x/ ≤ 5 is option A
What is inequality?
In mathematics, inequality refers to a mathematical statement that expresses a relationship between two quantities, indicating that one quantity is greater than, less than, or not equal to the other.
The symbol that we have is telling us that the value of the x would be less than or it would be seen to be equal to five.
We can see that /x/ ≤ 5 would exclude the negative values and this can be seen in the option that is marked option A
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Oil change at Citi auto is regular $30 Mr. Allen has a coupon for 15% off he wants to know the sale price of the service which equation can be used to find the cell price S of an oil change
S = 30 - 0.15(30) or S = 0.85 can be used to calculate the sale price S of an oil change (30).
What are an example and an equation?By resolving this equation, we find that the value of the variable x is 7. An equation is a mathematical formula that states that two quantities or values are equal, as in the example 6 x 4 = 12 x 2.
S will serve as a stand-in for the sale price of the oil change.
Mr. Allen has a 15% off voucher, and the oil change normally costs $30. The reduction can be shown as 15% of the standard price, or:
0.15 * $30 = $4.50
We can deduct the discount from the list price to determine the oil change's selling price:
S = $30 - $4.50
S = $25.50
As a result, S = 30 - 0.15 can be used to calculate the sale price S of an oil change (30)
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Answer:
The answer is s=0.85*30=22.50(final sale price) which will be 15 % of the 30 dollars
Step-by-step explanation:
simplify 2^3 ÷ 2^-3
leave your answer in the form 2^x, where x is an integer
these are the options for the answer
1
0
2^0
2^6
Answer:
\(2^{6}\)
Step-by-step explanation:
\(2^3 \div 2^{-3}\)
\(2^{3-(-3)}\)
\(2^{3+3}\)
\(2^{6}\)
Given that ∅ = 12.2° , calculate the area of the triange below
give your answer to 2 d.p.
Answer:
A = (1/4)√(4 + 11 + 14)√(-4 + 11 + 14)√(4 - 11 + 14)√(4 + 11 - 14)
A = (1/4)√29√21√7
= about 16.32 mm²
Answer:
16.27 mm² (see comment)
Step-by-step explanation:
You want the area of a triangle with side lengths 11 mm and 14 mm, and the angle between them 12.2°.
AreaThe area is given by the formula ...
A = 1/2ab·sin(C)
A = 1/2(11 mm)(14 mm)·sin(12.2°) ≈ 16.27 mm²
The area of the triangle is about 16.27 square millimeters.
__
Additional comment
If you use Heron's formula for the area from the three side lengths, you find it is about 16.32 mm². That's the trouble with over-specified geometrical figures. The result you get depends on which of the given values you use. (To get the area accurate to 4 sf, the angle needs to be specified to 4 sf: 12.24°.)
s = (4 +11 +14)/2 = 14.5
A = √(s(s -a)(s -b)(s -c))
A = √(14.5(14.5 -4)(14.5 -11)(14.5 -14)) = √(14.5·10.5·3.5·0.5) = √266.4375
A ≈ 16.32
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What is the mean, median and mode for...45,50,55,55,55,60,60,60,65,65,70?
Answer:
Mean = 58.18
Median = 60
Modes = 55 and 60
Step-by-step explanation:
To find the mean/average, add up all the numbers and divide the sum by the # of numbers there are (ex. there are 11 numbers so divide the sum by 11).
The median is the middle number of a set. In this case, the middle number is easy to see because the # of numbers is odd, but if it was even, just find the average of the two middle numbers.
The mode is/are the most frequent number(s) in the set. In this set, the numbers that appear the most are 55 and 60.
What’s the difference between 126 1/4 and 78 7/12
The difference between 126 1/4 and 78 7/12 is 143/3 or 47 2/3.
The is the difference between the two mixed fraction?To find the difference between the numbers simplify means;
to subtract 78 7/12 from 126 1/4 .
126 1/4 - 78 7/12
First, convert the mixed fractions into improper fractions.
( 126 × 4 + 1 )/4 - ( 78 × 12 + 7) /12
505/4 - 943/12
Multiply first term by 3/3 which is the same as 1.
( 505/4 × 3/3 ) - 943/12
1515/12 - 943/12
( 1515 - 943) / 12
572 / 12
143/3 or 47 2/3.
Therefore, the difference is 143/3 or 47 2/3.
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Help please I don’t get may I please have help with this
Answer:
\(1)\:2\frac{2}{3} ft\)
\(2)\:4\)
\(3)\:\frac{20}{3} ft^{2}\)
\(4)\:10\frac{2}{3} ft^{2}\)
------------------------
hope it helps...
have a great day!!
The one highlighted is wrong please help
Answer:
The .79 correlation is strong and positive, but "significan" is a question not answered by the correlation coefficient. Many people mistake correlation for causation--one variable's change causing the other variable to change.
Pick the second answer.
you’re making your schedule for next semester you have 13 choices for your math class six choices for your English class nine choices for your communications class and 11 choices for your elective how many different schedules are possible
Answer:
7,722
Step-by-step explanation:
You would need to multiply the 4 numbers above together to get the final number. That is basically it.
I would recommend you to write on a paper for smaller numbers and writing each combination for the choices.