The given expression has a value of 2.5.
The BODMAS rule is named after the letters in the acronym: B - Brackets, O - Order of powers or roots, D - Division, M - Multiplication. A stands for addition, and S stands for subtraction. According to the BODMAS rule, mathematical statements having several operations must be solved from left to right in the BODMAS order.
Given expression 6 x (2/3 divided by 2) + 0.5
To solve this expression, we must employ the BODMAS rule.
First 2/3 divided by 2
(2/3)/2
= 1/3
Now multiply 1/3 with 6
= 1/3 x 6
= 2
Now add both 2 and 0.5
= 2 + 0.5
= 2.5
Therefore the value of the given expression is 2.5
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Radius of the base of a cylinder is 38 mm and its height is 51 mm. Find the surface area of the cylinder, in terms of pi
The surface area of the cylinder in term of π is 6764πmm^2
What is surface area of a cylinder?A cylinder is a three-dimensional solid that contains two parallel bases connected by a curved surface. The bases are usually circular in shape. The perpendicular distance between the bases is denoted as the height “h” of the cylinder and “r” is the radius of the cylinder.
The total surface area of a cylinder is 2πr(r+h)
Where r is the radius and h is the height of the cylinder
therefore T.S.A= 2×38π(38+51)
T.S.A=76π×89
The total surface area(T.S.A) of the cylinder =6764πmm^2
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What is the probability of rolling a number less than or equal to 3 on a standard six-sided die
Answer:
P(les than/equal to 3): ½
[tex]\frac{90}{x} - \frac{90}{15-x} = 5[/tex]
Solving for X the value is = 45, 6
What is an equation?A mathematical equation is a formula that uses the equals symbol (=) to connect two expressions and express their equality.A well-formed formula consisting of two expressions linked by an equals sign is considered to be an equation in English, but the word's cognates in other languages may have slightly different definitions.For instance, an équation is defined as having one or more variables in French.Finding the variables' values that cause the equality to be true is the first step in solving an equation with variables.The variables for which the equation must be solved are also known as the unknowns, and the unknowns' values that fulfill the equality are known as the equation's solutions. Equations can be categorized as either identities or conditional equations.acc to our question-
90/x=90/x+15+1/2
(15-x)90 - 90x/15x-x^2 = 5
x= 45 or 6
hence, for X the value is = 45, 6
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Question
Estimate the mean of the number of points deducted from each student on an economics test given in the follow
grouped frequency table.
• Round the final answer to one decimal place.
Value Interval
0-3
4-7
8-11
Frequency
12
20
8
According to the following frequency table, the mean of the number points deducted from each student on an economics is 5.1
Frequency table:
Frequency table means the method of organizing raw data in a compact form by displaying a series of scores in ascending or descending order, together with their frequencies—the number of times each score occurs in the respective data set.
Given,
Here we need to determine the mean of the number of points deducted from each student on an economics test given in the follow grouped frequency table.
For the given table of data, the frequency table of the data is attached below.
In order to find the mean of the frequency table we have to use the following values,
The total frequency is 204
And the number of frequency is 40.
So, the mean is
=> 204/40
=> 5.1
Therefore, the mean of the data is 5.1
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1. What is the missing number 56/7=?-5
Answer:
13
Step-by-step explanation:
56/7 = 8
13 - 5 = 8
15/7 = 13 - 5
The missing number in the expression is 13.
We have,
To find the missing number in the equation 56 / 7 =? - 5, solve for the unknown value.
Unknown value = x
Starting with the equation 56 / 7 = x - 5, simplify the left side:
56 / 7 = x - 5
8 = x - 5
x = 8 + 5
x = 13
Thus,
The missing number in the expression is 13.
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A city block is 3 times as long as it is wide. If the distance around the city block is 16.8 kilometers, what is the area of the city block?
The area of the city block is 13.23 kilometers².
How to calculate the area?The city block is 3 times as long as it is wide. In this case, the width can be represented by w. The length will be 3w.
Therefore, perimeter will be:
= 2(length + width)
= 2(3w + w) = 16.8
8w = 16.8
Divide
w = 16.8 / 8
w = 2.1
Length = 3w = 3 × 2.1 = 6.3km
The area will be:
= Length × Width
= 6.3 × 2.1
= 13.23km²
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Answer:
The area of the city block is 13.23 kilometers².
Step-by-step explanation:
You accidentally inhale some mildly poisonous fumes. From a blood sample poison concentration exponentially
The exponential function giving the concentration after t hours is given as follows:
[tex]C(t) = 0.00372(0.9359)^t[/tex]
What is an exponential function?The standard modelling of an exponential function is presented as follows:
[tex]y = a(b)^x[/tex]
The meaning of the variables of the equation are given as follows:
a is the initial value of the exponential function, that is, the numeric value of y when x = 0.b is the rate of change of the exponential function, giving by how much y is multiplied when x increases by one.The initial value of the exponential function is given as follows:
a = 0.00372.
After eight hours, the concentration is given as follows:
C(8) = 0.00219.
Hence the rate of change is obtained as follows:
[tex]C(t) = 0.00372b^t[/tex]
[tex]0.00219 = 0.00372b^8[/tex]
[tex]b^8 = \frac{0.00219}{0.00372}[/tex]
[tex]b = \sqrt[8]{\frac{0.00219}{0.00372}}[/tex]
[tex]b = \left(\frac{0.00219}{0.00372}\right)^{\frac{1}{8}}[/tex]
b = 0.9359.
Hence the equation is:
[tex]C(t) = 0.00372(0.9359)^t[/tex]
Missing InformationThe problem is given by the image at the end of the answer, and it asks for the exponential function modelling the situation.
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Mrs. Boyer is buying folding chairs that are on sale for $8. She has $56. Which inequality
can be solved to show the number of chairs c Mrs. Smith can buy?
a. 8c ≤ 56
b.8 >56
c. 56c<58
d. 56c>28
An inequality that can be solved to show the number of chairs c Mrs. Smith can buy 8c ≤ 56
In this question we have been given Mrs. Boyer is buying folding chairs that are on sale for $8.
She has $56
We need to find an inequality that can be solved to show the number of chairs c Mrs. Smith can buy.
A price of one chair is $8
So, the price of 'c' number of chairs would be 8c
But she has $56
So, to find the number of chairs she can buy, we need to divide 56 by 8
We can write is as 8c = 56
⇒ c = 7
But she might buy less that 7 chairs.
So, we write above relation in inequality form as,
8c ≤ 56
Therefore, an inequality that can be solved to show the number of chairs c Mrs. Smith can buy 8c ≤ 56
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Gavin invested $11,000 in a savings account. If the interest rate is 7%, how much will be in the account in 10 years with monthly compounding?
Round your answer to the nearest cent.
Do NOT round until you calculate the final answer
Answer:
$22,106.28
Step-by-step explanation:
[tex]CI=P(1+(\frac{r}{12}) )^{12t}[/tex], where [tex]P[/tex] is the principal, [tex]r[/tex] is the interest rate in decimal form, and [tex]t[/tex] is the time in years.
[tex]CI=\$11000.00(1+(\frac{0.07}{12}) )^{12(10)}[/tex]
[tex]CI=\$22106.28[/tex]
0°F; drops 15° new temperature
développer l'expression suivante
3−3(−3x−5)(−3x+5)−4(3x−2)(2x+3)
3-3(9x²+15x-15x+25)-4(6x²+9x-4x+6)
3-27x²-75-24x²-20-24
3-51x²-119
-116-51x²
solve x2-4x+2=0 state the consecutive integers between which the roots are located
Answer:
Step-by-step explanation:
x²-4x+2=0
x²-4x=-2
x²-4x+4=-2+4
(x-2)²=2
x-2=±√2
x=2±√2
x=2+√2≈2+1.41≈3.41
x=2-√2≈2-1.41≈0.59
so roots lie between 0 and 4.
11C8 x 4C3
related to permutations. Please explain in depth because I want to understand.
₁₁C₈ * ₄C₃ as related to permutations is ₁₁P₈ / 8! * ₄P₃ / 3!
Further explanation of combination and permutationThe term combination refers to a method of choosing where order does not matter. an instance forming 3 letter word from ABC. the combination is ₃C₃ = 1
In permutation, order matters hence in choosing or making selection specific order should be followed. an instance here is arranging the 3 letters word from ABC. ₃P₃ = 6
ABCACBBACCABBCACBAAll the items above are different permutations however for combination they are same.
The difference mathematically is dividing by the number of arrangements
₃C₃ = 3! / (3!(3-3)!) = 3! / (3!* 0!) = 3! / 3! = 1
₃P₃ = 3! / (3-3)! = 3! / (0!) = 3! / 1 = 3! = 6
Therefore ₃C₃ = ₃P₃ / 3!
similarly
₁₁C₈ * ₄C₃ = ₁₁P₈ / 8! * ₄P₃ / 3!
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The birth weights of the 908 babies born at Valley Hospital in 2019 were normally
distributed with a mean of 7.2 pounds with a standard deviation of 1.5. Use the Z-
Score Table from the book to determine the number of babies that weighed more
than 10 pounds.
Round your answer to the nearest whole number, but do not include the word
"babies" in your response.
PLEASE HELP I POSTED THIS QUESTION LIKE TWICE AND NO ONE IS HELPING ME
Using the z-score tables, the number of babies that weighed more than 10 pounds is; 43
How to find the p-value from z-score?A probability distribution that can be considered to be symmetric about the mean is the normal distribution, which can often be referred to as the Gaussian distribution. This depicts to us the concept of data being close to the mean occurring more often than data that are considered far from the mean. The normal distribution usually has a bell curve graph.
We are given that;
The total number of babies is 908.
Mean of the normal distribution is 7.2 pounds.
Standard deviation of the normal distribution is 1.5 pounds.
The formula of z score is given by;
z = (x - μ)/σ
where;
x is sample mean
μ is population mean
σ is standard deviation
We are given that;
x = 10
μ = 1.5
σ = 7.2
Thus;
z = (10 - 7.2)/1.5
z = 1.86667
The P-value from Z-Table gives us:
P(x > 10) = 1 - P(x < 10) = 0.030974
The number of babies that weighed more than 10 pounds is;
(0.030974 × 908) ≈ 43
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Shelp Corporation has provided the following information
If the total amount of period costs incurred to sell 9,000 units is closest to: D) $49,500.
How to determine the period costs?First step is to find the variable selling and administrative expense per unit
Sales commissions $ 0.50
Add variable administrative expense 0.50
Variable selling and administrative expense per unit $ 1.00
Now let find the total amount of period costs
Total variable selling and administrative expense $9,000
($1.00 per unit × 9,000 unit)
Add total fixed selling and administrative expense 40,500
Total period cost $ 49,500
Therefore the correct option is D.
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The complete question is:
Shelp Corporation has provided the following information:
Cost per Unit Cost per Period
Direct materials $ 7.15
Direct labor $ 3.35
Variable manufacturing overhead $ 1.40
Fixed manufacturing overhead $ 81,000
Sales commissions $ 0.50
Variable administrative expense $ 0.50
Fixed selling and administrative expense $ 40,500
For financial reporting purposes, the total amount of period costs incurred to sell 9,000 units is closest to:
A) $33,000
B) $9,000
C) $40,500
D) $49,500
How will this pie graph change if
temperatures on Earth continue to increase?
If the temperatures on Earth continue to increase, the change in the pie graph would be C. Less than 2% of the Earth's water will be in polar ice caps.
How are polar ice caps affected by Earth's temperature?The temperature of Earth has risen significantly in the last century as a result of human activity. This had led to the loss of polar ice caps due to them having melted into the oceans from the high temperatures.
This means that if the temperature of the planet should continue to increase, the polar ice caps we have will further be depleted. This would lead to less than 2% of the Earth comprising polar ice caps as is the case now.
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Fill in the missing term on each line. Simplify any fractions.
3(9w+ 2) = 19w + 6
_+ 6 = 19w + 6 Apply the distributive property
_+6=6
8w =_
W =_
Subtract 19w from both sides
Subtract 6 from both sides
Divide both sides by 8
Answer:
27w+2=19w+6
27w+19w=6+2
w(27+19)=8
w(27+19)/27+19=8/27+19
w=8/(27+19)
Sanjay and his paving crew laid 40 yards of new pavement. Jack and his crew just took over, and they can lay 15 yards of new pavement per hour.
Write an equation that shows the relationship between the number of hours Jack's crew works, x, and the total number of yards of pavement laid, y.
The equation that shows the relationship between the number of hours Jack's crew works, x, and the total number of yards of pavement laid, y will be;
⇒ y = 40 + 15x
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Sanjay and his paving crew laid 40 yards of new pavement.
And, They can lay 15 yards of new pavement per hour.
Now,
Let the number of hours Jack's crew works = x
And, The total number of yards of pavement laid = y
Hence, We can formulate;
An equation that shows the relationship between x and y will be;
y = 15x + 40
Thus, The equation that shows the relationship between the number of hours Jack's crew works, x, and the total number of yards of pavement laid, y will be;
⇒ y = 40 + 15x
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Chelsea was reading at steady pace.By the time she stopped reading for the night she had 64 pages in 20 minutes.What is Chelsea's unit rate
Answer:
3.2 pages per minute
Step-by-step explanation:
Unit Rate: 64 / 20 = 3.2 pages per minute
A unit rate is just a measure of either how fast you can do one of something, or how fast you can do something in one unit of time :)
Answer:
Step-by-step explanation
64 pages ÷ 20 =
20 minutes ÷ 20 =
3.2 pages
1 minute
so she read 3.2 pages per minute
Miriam bought a barbecue grill on sale for 25% off the original price. Including an 8% sales tax, the final cost was $79.95. If Miriam wants to determine the original cost of the grill, what is an equation that she can use to solve the problem if x represents the original price?
The Original price of barbecue grill is 96.325.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
The final cost barbecue grill is $79.95.
Discount = 25%
and Tax = 8%
let the original price be x
x- 0.25x + 0.08x = 79.95
0.83x = 79.95
x= 79.95/0.83
x = $96.325
Hence, the Original price of barbecue grill is 96.325.
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What is the equation of the line that passes through the point (2,-7) and has a slope of -4
Answer: y+7=-4(x-2)
Step-by-step explanation:Point slope form is: y - y1 = m(x-x1)2 = x1-7 = y1 substituteAnswer: y+7=-4(x-2)
11 subtracted from the sum of 7y and 2y is -38.
Answer: 7y = 38.11111111111 2y = 10.8888888889 the sum of these two equals to 49 so 11-49=-38 Hopefully you understood. But I didn't know what you wanted to know from this?
Step-by-step explanation: 11-(7y+2y)=-38
7y+2y=9y (basic math)
11-9y=-38 then you want to move -38 to the other side, and when you move it to the other side it changes its value then from -38 it becomes 38. Same for the -9y, we move it to the other side and it changes its value so now from -9y its 9y. So now are equation should look like this 11+38=9y. 11+38=49 => y=49÷9 y=5.44444444444 (49÷9) x 7 = 38.1111111111 and (49÷9) x 2 = 10.8888888889
Identify the values of the variables. Give your answers in simplest radical form. Help!
Considering the triangle given the variables are calculated to be
x = (5√6)/3
y = (10√6) / 3
How to calculate the unknown variablesInformation given in the question
right angle triangle
The unknown variables is calculated using SOH CAH TOA
Definition of variables for the right angle triangle
hypotenuse = y
opposite = 5√2
adjacent = x
The variable x is solved using tan, TOA, the angle is 60
tan 60 = Opposite / Adjacent
tan 60 = (5√2) / x
x = (5√2) / tan 60
x = (5√6)/3
The variable y is solved using sin, SOH, the angle is 60
sin 60 = Opposite / Hypotenuse
sin 60 = (5√2) / y
y = (5√2) / sin 60
y = (10√6) / 3
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What are the corresponding angle pairs in the picture below?
The corresponding angles form the given figure are ∠1 and ∠5, ∠2 and ∠6, ∠4 and ∠8 and ∠3 and ∠7. Therefore, option D is the correct answer.
From the given figure, we need to identify the corresponding angles.
What are corresponding angles?The corresponding angles definition tells us that when two parallel lines are intersected by a third one, the angles that occupy the same relative position at each intersection are known to be corresponding angles to each other.
From the figure, ∠1 and ∠5, ∠2 and ∠6, ∠4 and ∠8 and ∠3 and ∠7 are the corresponding angles.
The corresponding angles form the given figure are ∠1 and ∠5, ∠2 and ∠6, ∠4 and ∠8 and ∠3 and ∠7. Therefore, option D is the correct answer.
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Zach, Kolby, and Peyton are investing a total of $350,000 to open a coffee shop. Their investments are in the ratio
1:2:0.5, respectively.
How much has Zach invested, in dollars?
Enter your answer in the space provided.
Zach's investment is $100,000.
A ratio shows us the number of times a number contains another number.
Given that Zach, Kolby, and Peyton are investing a total of $350,000 to open a coffee shop. And their investments are in the ratio 1:2:0.5, respectively.
Therefore, Zach, Kolby, and Peyton's investment can be written as 1x, 2x, and 0.5x, respectively.
Now, the total sum of the investment of the three can be written as,
Zach's investment + Kolby's investment + Peyton's investment = $350,000
1x + 2x + 0.5x = $350,000
3.5x = $350,000
x = $350,000 / 3.5
x = 100,000
Further, Zach's investment can be written as,
Zach's investment = 1x = 1($100,000) = $100,000
Hence, Zach's investment is $100,000.
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When an object is thrown upward, its height (S), in meters, is given (approximately) by the quadratic equation
S = -5t² + vt + h, where v is the upward initial velocity in meters/second, t is the time of flight in seconds, and h is the
height above level ground from which the object is thrown. Johnny is standing on a platform 16 meters high and
throws a ball straight up as high as he can at a velocity of 16 meters/second. At what time t will the ball hit the
ground?
The ball will strike the ground
seconds after it is thrown.
Check the picture below.
[tex]~~~~~~\textit{initial velocity in meters} \\\\ S = -5t^2+v_ot+h_o \quad \begin{cases} v_o=\textit{initial velocity}&16\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&16\\ \qquad \textit{of the object}\\ h=\textit{object's height}&\\ \qquad \textit{at "t" seconds} \end{cases} \\\\\\ 0=-5t^2+16t+16\implies 5t^2-16t-16=0 \\\\\\ (5t+4)(t-4)=0\implies t= \begin{cases} -\frac{4}{5}\\\\ 4 ~~ \textit{\LARGE \checkmark} \end{cases}[/tex]
the equation for meters is usually as you see in the picture but for this exercise it got rounded from -4.9 to -5, which is fine.
let's notice that "t" has two values, however the seconds cannot be a negative value, so we dismiss that one.
The ball will strike the ground 4 seconds after it is thrown When an object is thrown upward, its height , in meters, is given by the quadratic equation S = -5t² + vt + h
To find the time at which the ball will hit the ground, we need to determine when the height (S) of the ball becomes zero. At that moment, the ball will be at ground level.
The height (S) of the ball is given by the quadratic equation:
S = -5t² + vt + h
where:
S = height of the ball in meters
t = time of flight in seconds
v = initial velocity in meters/second (upward velocity, so it's positive)
h = height above level ground from which the object is thrown
Given that the initial velocity (v) is 16 meters/second, and the height above the ground (h) is 16 meters, we can substitute these values into the equation:
S = -5t² + 16t + 16
Now, to find the time (t) at which the ball hits the ground, we need to solve for t when S = 0:
0 = -5t² + 16t + 16
This is a quadratic equation in standard form (ax² + bx + c = 0), and we can solve it by factoring or using the quadratic formula. In this case, let's use the quadratic formula:
The quadratic formula is given by:
t = (-b ± √(b² - 4ac)) / 2a
In our case, a = -5, b = 16, and c = 16. Plugging these values into the quadratic formula:
t = (-(16) ± √(16² - 4*(-5)16)) / 2(-5)
t = (-16 ± √(256 + 320)) / -10
t = (-16 ± √576) / -10
Now, find the two possible solutions for t:
t₁ = (-16 + √576) / -10
t₁ = (-16 + 24) / -10
t₁ = 8 / -10
t₁ = -0.8 seconds
t₂ = (-16 - √576) / -10
t₂ = (-16 - 24) / -10
t₂ = -40 / -10
t₂ = 4 seconds
We have two solutions for t: t = -0.8 seconds and t = 4 seconds. However, we can disregard the negative value for time, as time cannot be negative in this context.
So, the ball will strike the ground 4 seconds after it is thrown.
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The method of tree-ring dating gave the following years A.D. for an archaeological excavation site. Assume that the population of x values has an approximately normal distribution.
1,320 1,264 1,215 1,271 1,268 1,316 1,275 1,317 1,275
(a)
Use a calculator with mean and standard deviation keys to find the sample mean year x and sample standard deviation s. (Round your answers to four decimal places.)
A.D.
s =
yr
(b)
When finding an 90% confidence interval, what is the critical value for confidence level? (Give your answer to three decimal places.)
tc =
What is the maximal margin of error when finding a 90% confidence interval for the mean of all tree-ring dates from this archaeological site? (Round your answer to the nearest whole number.)
E =
Find a 90% confidence interval for the mean of all tree-ring dates from this archaeological site. (Round your answers to the nearest whole number.)
lower limit
A.D.
upper limit
A.D.
Using the t-distribution, it is found that:
a)
The mean is: 1280.1111The standard deviation is: 33.5799.b)
The critical value is: 1.86.The margin of error is: 21.The interval is: (1259, 1301).What is a t-distribution confidence interval?The bounds of the confidence interval are given according to the rule presented as follows:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which the variables of the equation are listed as follows:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The margin of error of the interval is:
[tex]M = t\frac{s}{\sqrt{n}}[/tex]
Then the interval can be interpreted as the sample mean plus/minus the margin of error.
For the confidence interval in this problem, using a calculator, the parameters are given as follows:
[tex]\mu = 1280.1111, s = 33.5799, n = 9[/tex]
The critical value, using a t-distribution calculator, for a two-tailed 90% confidence interval, with 9 - 1 = 8 df, is t = 1.86.
Then the margin of error of the interval is:
M = 1.86 x 33.5799/sqrt(9) = 21.
Then the bounds of the interval are:
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Question 2 (1 point)
Determine which relation is a function.
{(-5, 1), (-5, 0), (-2, 1), (-1, 4), (6, 2)}
{(-5, 1), (-2, 0), (-2, 2), (3, 4), (6, 2)}
{(-5, 1), (-2, 0), (-1, 1), (2, 4), (6,3)}
{(-5, 3), (-2, 0), (-1, 2), (6, 4), (6,3)}
The following relation are said to be the functions:
{(-5, 1), (-2, 0), (-1, 1), (2, 4), (6,3)}
Relation:
Relation in math is a set of ordered pairs defining the relation between two sets.
Given,
Here we have the following relation
{(-5, 1), (-5, 0), (-2, 1), (-1, 4), (6, 2)}
{(-5, 1), (-2, 0), (-2, 2), (3, 4), (6, 2)}
{(-5, 1), (-2, 0), (-1, 1), (2, 4), (6,3)}
{(-5, 3), (-2, 0), (-1, 2), (6, 4), (6,3)}
Now, we need to identify the which relations are the functions.
We know that the function means the relation in math such that each element of the domain is related to a single element in the codomain.
While we check this condition with each relation then we get,
{(-5, 1), (-5, 0), (-2, 1), (-1, 4), (6, 2)}
This one is not a relation because here -5 take two output values.
{(-5, 1), (-2, 0), (-2, 2), (3, 4), (6, 2)}
This one is not a relation because here -2 take two output values.
{(-5, 1), (-2, 0), (-1, 1), (2, 4), (6,3)}
This one is a function because each domain has exactly one co domain
{(-5, 3), (-2, 0), (-1, 2), (6, 4), (6,3)}
This one is not a relation because here -6 take two output values.
To know more about Relation here.
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2.1 & 2.2 Assessment: Vertex & Standard Form of Quadratic Functions
What is the equation, written in vertex form, of a parabola with a vertex of (1, -9) that
passes through the point (2, -7)?
The equation of the parabola in vertex form is _______________
Answer:
y = 2(x - 1)^2 - 9
Step-by-step explanation:
The vertex form of a parabola is y = a(x - h)^2 + k
(h, k) is the vertex, aka (1, -9)
(x, y) is the point that is passed through aka (2, -7)
Using this, we can substitute these values into the equation.
First, let's work with the vertex
We know that h = 1 and k = -9: y = a(x - 1)^2 - 9
Now, let's substitute in the point that was given: -7 = a(2 - 1)^2 - 9
Now, we can find the a-value by simplifying: -7 = a - 9 --> a = 2
Finally, we can make the equation by taking our equation that we made with the vertex but just putting the a-value in since we know it.
y = 2(x - 1)^2 - 9 is the equation of the parabola in vertex form
I hope this helps! Let me know if it is wrong
HELP PLS!!
Determine if this table represents a linear function
Answer: im pretty sure the answer is c
Step-by-step explanation:
if the answer is not c im sorry but i hope this helps! Have a good day!