Answer:
Vertex form pf y = x^2 + 12x + 36.
Step-by-step explanation:
y = (x + 6)^2
x-coordinate of vertex:
(x + 6) = 0--> x = - 6
y-coordinate of vertex: y = y(-6) = 36 - 72 + 36 = 0
Vertex form: y = (x + 6)^2
Answer:
2
Step-by-step explanation:
X=x 2-12x+36
X+X+12x=38
14x=38
X=38/14
X=2
Place the numbers in order from greatest to least.
-5/2 5.25 1 3/4 -8.345
From greatest to least5.25, 1, 3/4 (or 0.75), -5/2 (or -2.5), -8.345
How to place the numbersTo sort these numbers from largest to smallest, we must establish a consistent format for swift comparison.
Among the various numbers included are whole figures, fractions and decimals, causing us to mix them uniformly first so that they match— in decimals.
-5/2 = -2.5
5.25 = 5.25 (no alteration required)
1 = 1.0 (to simplify analysis, only adding decimal points)
3/4 = 0.75
-8.345 = -8.345 (essentially unchanged)
At this point, we can effortlessly contrast and compare the numbers.
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60ft by 60ft wall and a mirror that’s 60ft by 20ft the mirror covers wat percent of the wall?
Answer:
okay, so we have a wall that is 60 ft. The area of the wall because the wall is a square is just side squared. So the area of the wall is \(60^{2}\), which is 30 600 square feet. The mirror is 20 ft by 60 ft. So the area of the mirror, because its a rectangle is length times width, so that's 20 a 60 so 20 x 60 is gonna give me 1200 square feet. So if we take the area of the mirror and put that over the area, the wall we get 1200 over 30 600, which reduces to one over three. So the mirror is one third the area of the wall.
Step-by-step explanation:
what is the slope intercept form of 4x+y=-3
Answer:
Step-by-step explanation:
-4x-3=y
Find the x intercepts. Show all possible solutions.
For the function f(x) = 7/8x² - 14, the x-intercepts are x = -4 and x = 4.
What is a function?
In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.
To find the x-intercepts of the function f(x), we need to solve the equation f(x) = 0.
f(x) = 7/8x² - 14
Substitute f(x) with 0 -
0 = 7/8x² - 14
Add 14 to both sides -
7/8x² = 14
Multiply both sides by 8/7 -
x² = 16
Take the square root of both sides -
x = ±4
Therefore, the x-intercepts of the function f(x) are x = -4 and x = 4.
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What is the x and y-intercept of the line described by the equation? 14x - 8y = 56 Write your answer as an ordered pair
Answer: (4,0) for x int and (0,-7) for y int
Step-by-step explanation:
At the x-intercept, y = 0.
14x - 8(0) = 56
14x = 56
x = 56/14
x = 4
ordered pair: (4,0)
Elementary algebra 1/4 divided by 3 equals
Answer:
1/12
Step-by-step explanation:
multiply by three so 4x3 is 12 and that's 3 equal parts
Bigco Corporation is one of the nation’s leading distributors of food and related products to restaurants, universities, hotels, and other customers. A simplified version of its recent income statement contained the following items (in millions).
Cost of sales $ 11,571
Income taxes 249
Interest expense 23
Net earnings 1,442
Sales 16,400
Earnings before income taxes 1,691
Selling, general, and administration expense 3,543
Other revenues 428
Total expenses (excluding income taxes) 15,137
Total revenues 16,828
Prepare an income statement for the year ended June 30, current year. (Hint: First order the items as they would appear on the income statement and then confirm the values of the subtotals and totals.)
Step-by-step explanation:
I hope this answer is helpful ):
A recipe says to use 3 cups of flour to make 48 cookies. What is the constant of proportionality that relates the number of cookies made, y , to the number of cups of flour used, x ?
Answer: 3cups
Step-by-step explanation:
List all of the solutions.
3cups = 48 = y = cups = x =
Answer:
3cups
Step-by-step explanation:
John has a savings account that pays him a compounded interest rate of 10%. The interest rate is compounded monthly. His starting principal is $1,604.00. What is his second month's interest?
John's second month's interest, given his starting principal and the interest rate, is $13.48
How to find the second interest?First, find the monthly interest rate as the savings account is compounded monthly:
= 10% / 12 months per year
= 10/12 %
The amount after the first month would be:
= 1, 604 x ( 1 + 10/12%)
= $1, 617.37
The second month's interest to John is therefore:
= 1, 617. 37 x 10/12%
= $13.48
In conclusion, in the second month of his savings investment, John would make an interest of $13.48.
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Jackson wrote different patterns for the rule subtract 5 select all the patterns he could have written
When Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include
A. 27, 22, 17, 12, 7
D. 100, 95, 90, 85, 80
What is the expression regarding the pattern?It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.
Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc. In this case, when Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include 27, 22, 17, 12, 7 and 100, 95, 90, 85, 80. In this cases, there are difference of 5.
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Complete question
Jackson wrote different patterns for the rule "subtract 5". Select all of the patterns that he could have written.
27, 22, 17, 12, 7
5, 10, 15, 20, 25
55, 50, 35, 30, 25
100, 95, 90, 85, 80
75, 65, 55, 45, 35
Reasoning 1f 60% of the registered voters cast 202,800 votes in an election, how many registered voters
of registered voters compare in the two elections? Show your work.
There are registered voters. (Type a whole number.)
Answer:
338,000
Step-by-step explanation:
202800 is to 338000 like 60% is to 100%
hope that helps lol (did it with my mouse so looks awful)
What is the solution to the equation? 5 = two-fifths a 2 4 and three-fifths 12 and one-half 25
Answer:
12 1/2
Step-by-step explanation:
Multiply the equation by the inverse of the coefficient of a.
5 = (2/5)a
5(5/2) = (2/5)(5/2)a
25/2 = a
12 1/2 = a . . . . written as a mixed number
The solution is 12 1/2.
Answer:
12 1/2
Step-by-step explanation:
What is 2/3 x 3/4 please help
Answer:
1/2
Step-by-step explanation:
I need the answers for the table below.
The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively
Given the function :
tan(πx)/7xSubstitute the given value of x to obtain the corresponding f(x) values :
x = -0.6
f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358
x = -0.51
f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350
x = -0.501
f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967
x = -0.5
f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959
x = -0.4999
f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958
x = 0.499
f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951
x = -0.49
f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188
x = -0.4
f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125
Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013
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Solve for n.
n + 184 = –375
Answer:
n=-559
Step-by-step explanation:
Answer:
n=-559
Step-by-step explanation:
you need to get n by itself so you subtract 184 from both side n=-375-184 then simplify it to n= -559 leaving you with the answer.
hope this helped
(figure: supply and demand 3) refer to the figure. if the government sets a price ceiling at $8 in this figure, it will create a deadweight loss of:
If the government sets a price ceiling at $8 in the figure you provided, it will create a deadweight loss equal to the area marked "Deadweight Loss" in the figure. This is because the price ceiling will prevent the market from reaching its equilibrium price and quantity, causing a reduction in the quantity of goods exchanged in the market and a corresponding reduction in economic surplus. The size of the deadweight loss will depend on the difference between the equilibrium price and the price ceiling, as well as the shape of the supply and demand curves.
To calculate the deadweight loss, you can use the formula: Deadweight Loss = (Equilibrium Quantity - Quantity Traded) * (Equilibrium Price - Price Ceiling). Using this formula, the deadweight loss in the figure you provided would be equal to the area of the trapezoid formed by the horizontal line at the price ceiling of $8, the demand curve, and the vertical lines at the equilibrium quantity and the quantity traded at the price ceiling.
It's worth noting that a price ceiling can have unintended consequences, such as creating shortages and encouraging black markets. It's also important to consider whether a price ceiling is an appropriate policy solution in a given market, as there may be other options for addressing any problems or concerns with the market.
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Drag and drop the answers into the boxes to correctly complete the statement.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
A sequence of transformations that maps △DEF to △D′E′F′is a Response area followed by a Response area.
The two right triangles are on a coordinate plane. The horizontal x-axis ranges from negative 5 to 5 with an increment of 1. The vertical y-axis ranges from negative 5 to 5 with an increment of 1. A dashed triangle has vertex F prime at begin ordered pair 0 comma 1 end ordered pair, vertex D prime at begin ordered pair 1 comma 1 end ordered pair and vertex E prime at begin ordered pair 1 comma 4 end ordered pair. A solid triangle has vertex F at begin ordered pair negative 1 comma negative 1 end ordered pair, vertex D at begin ordered pair negative 2 comma negative 1 end ordered pair and vertex E at begin ordered pair negative 2 comma negative 4 end ordered pair.
A sequence of transformations that maps △ABC to △A′B′C′ is a rotation of 90° counterclockwise about the origin followed by a translation 2 units right.
Transformations are changes done in the shapes on a coordinate plane by rotation, reflection, or translation
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A sequence of transformations that maps △DEF to △D′E′F′ is a rotation of 90° counterclockwise about the origin followed by a translation two units right.
What is the sequence of transformations?The sequence of vertices ABC(DEF in this question) is clockwise, as is the sequence of A'B'C'(D'E'F in this question). Thus, an even number of reflections is involved, if any reflections are involved. The offered choices do not include suitable reflections.
The orientation of AB(DE) is toward the right. The orientation of A'B'(D'E') is up, so there must be a rotation of 90° CCW. Rotation of 90° CCW about the origin will leave the figure in a position that is 2 units left of where it is shown. The rotation must be followed by a translation 2 units to the right.
Thus, we conclude that a sequence of transformations that maps △DEF to △D′E′F′ is a rotation of 90° counterclockwise about the origin followed by a translation two units right.
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factorise x³-4x²+x+6
The binomial factors of x³- 4x²+x+6 are (x+2), (x+3), and (x-1).
Using the splitting and grouping the terms:
x³ + 4x² + x - 6
= x³ + 2x² + 2x² + x - 6 [Splitting 4x² = 2x² + 2x²]
= (x³ + 2x²) + (2x² + x - 6)
= x² (x + 2) + (2x² + 4x - 3x - 6)
= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]
= x² (x + 2) + (x + 2) (2x - 3)
= (x + 2) ( x² + 2x - 3)
= (x + 2) ( x² + 3x - x - 3)
= (x + 2) [x (x + 3) - 1 (x + 3)]
= (x + 2) (x + 3) (x - 1)
Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)
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La suma de los ángulos externos de un triángulo es 360º.?
Answer:
children formerly truths former formerly upright justification
(5/3x+4)^2 as a trinomial in simplest form
The expression (5/3x+4)^2 in simplest trinomial form is (25x^2+36x+96)/6.
What is a trinomial?An algebraic expression with three terms is called a trinomial. One or more terms in an algebraic expression each have variables and constants. These expressions utilise separators like +, -, ×, and ÷ that are symbols or operations. This algebraic statement encompasses polynomials, monomials, binomials, and trinomials.
The given expression is -
(5/3x+4)^2
Solve it to get the trinomial -
= (5/3x+4)^2
= 25/(3x+4)^2
= 25/(6x^2+6x+16)
= (25x^2/6) + 6x + 16
= (25x^2+36x+96)/6
Therefore, the trinomial obtained is (25x^2+36x+96)/6.
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Im confused on how to work this out
Answer:
cube root (x-9)
Step-by-step explanation:
You have the right approach, but you wrote 3*square root(x-9)
What you need is cube root (x-9).
If \(f^{-1}(x)\) is the inverse of \(f(x)\), then
\(f\left(f^{-1}(x)\right) = x\)
Given \(f(x)=x^3+9\), we have
\(f\left(f^{-1}(x)\right) = \left(f^{-1}(x)\right)^3 + 9 = x\)
Solve for the inverse :
\(\left(f^{-1}(x)\right)^3 + 9 = x \\\\ \left(f^{-1}(x)\right)^3 = x-9 \\\\ \boxed{f^{-1}(x) = \sqrt[3]{x-9}}\)
Your answer is incorrect because it's interpreted as "3 times the square root of (x - 9)", whereas you want to end up with "the cube root of (x - 9)".
Try inserting ∛(x - 9) or (x - 9)^(1/3).
b. Original quantity: 10 New quantity: 16
Answer:
The quantity is add 6
Step-by-step explanation:
A sound system was sold during a sale for $307.78. What is the regular selling price if
the price of the sound system was reduced by 3/4.
Answer:
$230.835
Step-by-step explanation:
That's 3/4 of $307.78
Divide x²-14× +45 by X-9
There are two numbers that have a sum of 47. Three times the lesser
number is equal to 9 more than the greater number. What are the
numbers?
Answer:
The numbers are 14 and 33---------------
Let the numbers be s and l.
We are given that:
Sum of the two is 47 and 3 times the lesser number is equal to 9 more than the greater number.Set up equations:
s + l = 473s = l + 9Eliminate l:
l = 47 - s and l = 3s - 9Solve for s:
47 - s = 3s - 93s + s = 47 + 94s = 56s = 14Find l:
l = 47 - 14l = 33The owner of a bicycle store had a sale on bicycles (two-wheelers) and tricycles (three-wheelers). Each cycle had two pedals. When he counted the total number of pedals of the cycles, he got 50. When he counted the total number of wheels of the cycles, he got 64. Explain how you figured out how many tricycles were offered in the sale.
Let x represent number of bicycles and y represent number of tricycles.
We know that a bicycle has 2 pedals and a tricycle has 32 pedals as well.
We have been given that when the owner counted the total number of pedals of the cycles, he got 50. We can represent this information in an equation as:
\(2x+2y=50...(1)\)
\(2x=50-2y...(1)\)
We know that a bicycle has 2 wheels and a tricycle has 3 wheels.
We have been given that when the owner counted the total number of wheels of the cycles, he got 64. We can represent this information in an equation as:
\(2x+3y=64...(2)\)
Upon substituting equation (1) in equation (2), we will get:
\(50-2y+3y=64\)
\(50+y=64\)
\(50-50+y=64-50\)
\(y=14\)
Therefore, 14 tricycles were offered in the sale.
If MP is a perpendicular bisector to LN, find each value(picture attached)
Answer:
f
Step-by-step explanation:
Will give 100 points to anyone who can find the arc measure and show work! thanks!
Answer:
2π/3 radians----------------------
Given:
Arc length (s) = 8π/3 Radius (r) = 4 kmTo find the arc measure (θ) in radians, we can use the formula:
s = rθNow, plug in the given values:
8π/3 = 4θTo solve for θ, divide both sides by 4:
(8π/3) / 4 = θSimplify the expression:
2π/3 = θSo, the arc measure (θ) is 2π/3 radians
Bally Manufacturing sent Intel Corporation an invoice for machinery with a $13,100 list price. Bally dated the invoice August 01 with 3/10
EOM terms. Intel receives a 40% trade discount. Intel pays the invoice on August 14. On August 10, Intel Corporation returns $100 of the machinery due to defects. What does Intel pay Bally on August 14?
The Intel pays $7,760 to Bally Manufacturing on August 14.
The first step in calculating what Intel Corporation pays Bally on August 14 is to determine the net price of the machinery after the trade discount and the return of $100 due to defects.
The trade discount of 40% is calculated as follows:
Discount = List price × Discount rate
Discount = $13,100 × 0.40 = $5,240
So the net price of the machinery after the trade discount is:
Net price = List price - Discount
Net price = $13,100 - $5,240 = $7,860
After Intel returns $100 of machinery, the cost of the machinery is further reduced to:
Net price after return = Net price - Return
Net price after return = $7,860 - $100 = $7,760
Since the payment terms are 3/10 EOM (end of month), Intel receives a discount of 3% if payment is made within 10 days. The 10-day period begins on August 1 and ends on August 10 (the payment due date). Since Intel pays the bill on August 14, payment is late and the 3% discount does not apply.
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Algebra transformation
f(x) =
f(x) =
f(x) =
f(x) =
Algebra transformation
for Graph1 f(x)=f(x)+4
for Graph2 f(x)=-f(x-4)
for Graph3 f(x)=f(x-7)
for Graph4 f(x)=f(x-2)-5
Define reflection of graphIn mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.
Graph1
Transform the graph by +4 units in y direction.
f(x)=f(x)+4
Graph2
Transform the graph by +4 units in x direction.
f(x)=f(x-4)
Now take the reflection of graph about x axis
f(x)=-f(x-4)
Graph3
Transform the graph by +7 units in x direction.
f(x)=f(x-7)
Graph5
Transform the graph by -5 units in y direction.
f(x)=f(x)-5
Now Transform the graph by -2 units in x direction.
f(x)=f(x-2)-5
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