Find a function f whose graph is a parabola with the given vertex and that passes through the given point. vertex (−1, 3); point (−2, −2)

Evaluating the function for the given values we have:

A function is a relation between two sets, called domain and range, that assigns to each element of the domain exactly one element of the range.

To evaluate the function (f(x) = 6x-2) for the given values, we simply need to plug in the values for x and then simplify.

f(1) = 6(1) - 2 = 6 - 2 = 4

f(-1) = 6(-1) - 2 = -6 - 2 = -8

f(12.6) = 6(12.6) - 2 = 75.6 - 2 = 73.6

f(23) = 6(23) - 2 = 138 - 2 = 136

So the function values are 4, -8, 73.6, and 136 for the given values of x.

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The function f(x)=6x−2 evaluated as follows:

a. f(1) = 4

b. f(-1) = -8

c. f(12.6) = 74.6

d. f(23) = 136

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.

Evaluating the function f(x) = 6x - 2 for the given values:

a. f(1) = 6(1) - 2 = 4

b. f(-1) = 6(-1) - 2 = -8

c. f(12.6) = 6(12.6) - 2 = 74.6

d. f(23) = 6(23) - 2 = 136

Therefore, the function evaluated at the given values is f(1)=4, f(-1)=-8, f(12.6)=73.6, and f(23)=136.

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The answer of the given question based on the  image of the given rotation of the preimage is given below,

Rotation is a transformation in which an object or figure is turned around a fixed point or center by a certain angle or degree. The fixed point is known as the center of rotation, and the angle of rotation is measured in degrees or radians.

Based on the given rotation specification, "r(270,0)(x,y)", the preimage should be rotated 270 degrees counterclockwise around the origin.

To draw the image of the rotated preimage, you can use the following steps:

Plot the coordinates of the preimage points on a coordinate plane.

Draw  line from of each point to origin.

Measure an angle of 270 degrees counterclockwise from each line, using a protractor or angle tool.

Draw a new line from each point to the endpoint of the measured angle. These lines represent the rotated points.

Label the new coordinates of the rotated points.

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Given -The area of the square is 36 sq.cm

To find - the perimeter of the square

Explanation- we know that the formula for area is

[tex]a^2=36[/tex]

we get side as

[tex]a=\sqrt{36} \\a=6[/tex]

The perimeter is given as

[tex]a4=4(6)=24[/tex]

Hence the perimeter is 24 sq.cm

Final answer- the perimeter is 24 sq.cm

The factored expression is 11u^(2)v^(2)(u^(7)v^(6) - 2y^(6)).

Factoring out a monomial from a polynomial involves finding the greatest common factor (GCF) of the terms in the polynomial and then dividing each term by the GCF to get the remaining polynomial. In this case, the GCF of the two terms in the expression is 11u^(2)v^(2). So, we can factor out this monomial from the polynomial as follows:

11u^(9)v^(8) - 22u^(2)v^(2)y^(6) = 11u^(2)v^(2)(u^(7)v^(6) - 2y^(6))

Therefore, the factored expression is 11u^(2)v^(2)(u^(7)v^(6) - 2y^(6)).

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Where is your question so we may help

Answer:

Step-by-step explanation:

mark me brainliest so i can solve

The tallest tree that can be supported with the wire is 20 feet .

The tallest tree that can be supported with a 25 foot wire staked 15 feet away from the tree can be calculated as follows:

Therefore, the tallest tree can be found using Pythagoras's theorem,

Hence,

c² = a² + b²

where

25² - 15²  = b²

b² = 625 - 225

b = √400

b = 20 feet

Therefore, the tallest tree is 20 feet.

From the diagram, the tallest tree that can be supported by a 25 feet wire is 20 feet. we had to use Pythagoras's theorem to find the tallest tree that 25 feet wire can hold.  

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The following operations with functions:

1. (g-f)(1) = 7

2. (h-g)(t) = -1

3. (g -f(a) = -38 - a

4. g(3) - h(3) = -16

5. (h+g)(10) = -6

6. (f-g)(4) = 1

Complete each operation with functions.
1. (g-f)(1) = g(1) - f(1) = (2-1) - (-2-4) = 1 + 6 = 7
2. (h-g)(t) = h(t) - g(t) = (2t+1) - (2t+2) = -1
3. (g-f)(a) = g(a) - f(a) = (-30-3) - (a+5) = -33 - a - 5 = -38 - a
4. g(3) - h(3) = (2(3)-5) - (4(3)+5) = (6-5) - (12+5) = 1 - 17 = -16

5. (h+g)(10) = h(10) + g(10) = (3(10)+3) + (-4(10)+1) = (30+3) + (-40+1) = 33 - 39 = -6
6. (f-g)(4) = f(4) - g(4) = (4(4)-3) - (4+2(4)) = (16-3) - (4+8) = 13 - 12 = 1

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Answer:

Mate the answer is c.

Answer:

2010-36=1974

She was born in 1974.

Answer:1974

Step-by-step explanation:

2010-36=1974

If Martina has already spent $22 and will spend more than $36 in total, then we can set up an inequality to represent the possible additional amounts she will spend:

$22 + c > $36

To solve for c, we can isolate it on one side of the inequality by subtracting $22 from both sides:

c > $36 - $22

c > $14

Therefore, the possible additional amounts Martina will spend (represented by c) must be greater than $14. The inequality solved for c is c > $14.

Answering the question, we may state that According to the graph, from function largest y-intercept to smallest y-intercept, we have:

[tex]f(x) = 5 f(x) = 2 f(x) + 1 f(x) = 1/2 f(x) = 1/5 (x)[/tex]

Mathematicians investigate the relationships between numbers, equations, and related structures, as well as the locations of forms and possible placements for these items. A set of inputs and their corresponding outputs are referred to as a "function" in this context. If each input results in a single, unique output, the relationship between the inputs and outputs is known as a function. Each function has its own domain, codomain, or scope. A common way to denote functions is with the letter f. (x). is an x for entry. One-to-one capabilities, so multiple capabilities, in capabilities, and on functions are the four main categories of accessible functions.

According to the graph, from largest y-intercept to smallest y-intercept, we have:

[tex]f(x) = 5 f(x) = 2 f(x) + 1 f(x) = 1/2 f(x) = 1/5 (x)[/tex]

As a result, the sequence is:

[tex]f(x) = 5^(x) (highest y-intercept) (highest y-intercept)[/tex]

[tex]f(x) = 2^(x) + 1 f(x) = 1/2^ (x)[/tex]

[tex]f(x) = 1/5^(x) (lowest y-intercept) (lowest y-intercept)[/tex]

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The value of the average residual for a car’s price include the following: C. 3860.7.

In Mathematics, a coefficient of determination (r² or r-squared) can be defined as a number between zero (0) and one (1) that is typically used for measuring the extent (how well) to which a statistical model predicts an outcome.

In Mathematics, a residual value is a difference between the measured (given or observed) value from a residual plot and the predicted value from a residual plot.

Based on the computer output (see attachment), we can logically deduce that the coefficient of determination (r²) and average residual for a car's price are as follows;

r² = 68% = 68/100 = 0.68.

Average residual for a car's price, S = 3860.7.

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The down payment is $450.

The total dollar amount of the monthly installment payments is $4,860.

The Loan amount Jeanie contracted was $4,050.

The total interest Jeanie paid was $810.

The down payment is the cash payment made upfront when an asset is bought on credit.

The down payment represents a percent of the total price, indicating the buyer's willingness and capacity to enter the contract.

The price of the snowmobile = $4,500

Down payment = 10% = $450 ($4,500 x 10%)

Loan amount = $4,050 ($4,500 - $450)

Installment periods = 18 months

Monthly payments = $270 ($4,050/18)

Total installment payments = $4,860 ($270 x 18)

The total interest = $810 ($4,860 - $4,050)

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Answer:7.9

Step-by-step explanation:

square root of 63 is 7.9

Answer:

Step-by-step explanation:

[tex]\sqrt{63} =[/tex] [tex]\sqrt{7}[/tex]×[tex]\sqrt{9}[/tex]

     = [tex]\sqrt{7}[/tex] × 3

    = 3[tex]\sqrt{7}[/tex]

Answer:

(4, 4) in point form

x = 4, y = 4 in equation form

Explanation:

...

Converting 33 pints into quarts is 16.5 Quarts.

The pint (symbol: pt) is a unit of volume or capacity in both the imperial and United States customary measurement systems.

The quart (abbreviation qt.) is an English unit of volume equal to a quarter gallon. It is divided into two pints or four cups.

To calculate 33 Pints to the corresponding value in Quarts,

We multiply the quantity in Pints by 0.5 (conversion factor).

In this case we should multiply 33 Pints by 0.5 to get the equivalent result in Quarts:

33 Pints x 0.5 = 16.5 Quarts

Hence, 33 Pints is equivalent to 16.5 Quarts.

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The equation of a perpendicular line is y = -x + 2

From the question, we have the following parameters that can be used in our computation:

y - 3 = 1(x - 2)

We can use the point-slope form of a linear equation to write the equation of the perpendicular line:

y - y1 = m(x - x1)

By comparison, we have

m1 = 1

For perpendicular lines. we have

m = -1/m1

So, we have

m = -1

An example of an equation wit a slope of -1 is

y = -x + 2

Hence, the equaton is y = -x + 2

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If a+b=4, and a²+b²=12, then what is a⁴+b⁴ is (B) 136.

To find the value of a⁴ + b⁴, we can use the identity (a² + b²)² = a⁴ + 2a²b² + b⁴. We are given that a² + b² = 12, so we can plug that value into the identity to get:

(12)² = a⁴ + 2a²b² + b⁴

144 =  a⁴ + 2a²b² + b⁴

We can also use the identity (a + b)² = a² + 2ab + b² to find the value of 2a²b². We are given that a + b = 4, so we can plug that value into the identity to get:

(4)² = a² + 2ab + b²

16 = a² + 2ab + b²

Subtracting a^2 + b^2 from both sides gives us:

16 - (a² + b²) = 2ab

16 - 12 = 2ab

4 = 2ab

2 = ab

So we can plug the value of 2ab back into the first identity to get:

144 = a4⁴ + 2(2)² + b⁴

144 = a^⁴ + 8 + b⁴

Subtracting 8 from both sides gives us:

136 = a⁴ + b⁴

So the value of a⁴ + b⁴ is 136, which is option (B).

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Answer: 19

Step-by-step explanation: The formula for the area of a quadrilateral is length x width.

Here, we have the width missing. So our equation would be,

12x=228.

dividing both sides by 12 gives us x=228/12.

solving this, we get x=19.

So, your answer will be 19.

Answer:

The width of the rectangle is 19 feet

Step-by-step explanation:

The formula for the area of a rectangle is length times width which can be expressed as

[tex]A=lw[/tex]

We can rearrange the equation and solve for the width.

Divide both sides of the equation by [tex]l[/tex].

[tex]\frac{A}{l}=w[/tex]

Now we have an equation to evaluate the width.

Numerical Evaluation

Substituting our values into the equation yields

[tex]\frac{228}{12}=w[/tex]

[tex]w=19[/tex]

The value of function  f[g(10)] = 198.

Given value of functions f(x) and g(x)

F(x) = 10x + 8

g(x) = x+9

To find f[g(10)], we need to first evaluate g(10), which means plugging in x=10 into the expression for g(x):

g(10) = 10 + 9 = 19

Now we can use this result to evaluate f[g(10)], which means plugging in x=19 into the expression for f(x):

Put the value of x=19  in F(x)

f[g(10)] = f(19) = 10(19) + 8 = 190 + 8 = 198.

Therefore, the function f[g(10)]  value is = 198.

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Answer:M1=50 M2=130

Step-by-step explanation:

M2=130 because corresponding angles and M1=50 because 180-130=50

The inventory turnover is 5 days and the number of days sales is  73 days if we assume 365 days a year.

The given data is as follows;

Cost of goods sold = $259,150

Average inventory = 51,830

a. Inventory turnover

Inventory turnover is calculated by dividing the cost of goods sold by the average inventory of the report.

Inventory turnover = (Cost of goods sold) / (Average inventory )

Inventory turnover = $259,150 / $51,830

Inventory turnover = 4.99 = 5

b. Number of days' sales in inventory

Assuming that 365 days in a year.

The number of days' sales in inventory is calculated by dividing the number of days in a year by the Inventory turnover

Number of days' sales = 365 days / (Inventory turnover)

Number of days' sales = 365 days / 4.999 = 73.015

Therefore we can conclude that the Inventory turnover is 5 and the Number of days' sales is 73 days.

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Answer:62 miles/hour

Step-by-step explanation:372 miles / 6 hours = 62 miles/hour 62 * 15 = 930 A driver travels 372 miles in 6 hours. At that rate, the driver will travel 930 miles in 15 hours

Answer: 62 mph

Step-by-step explanation:

372/6=62

:)

The simplified expression is u^(3) - v^(3).

To perform the indicated operation on the algebraic expressions, we need to multiply each term in the first expression by each term in the second expression and then simplify the resulting expression.

Step 1: Multiply each term in the first expression by each term in the second expression:

(u)(u^(2)) + (u)(uv) + (u)(v^(2)) - (v)(u^(2)) - (v)(uv) - (v)(v^(2))

Step 2: Simplify the resulting expression by combining like terms:

u^(3) + u^(2)v + uv^(2) - u^(2)v - uv^(2) - v^(3)

Step 3: Simplify further by canceling out terms that are equal but opposite in sign:

u^(3) - v^(3)

Therefore, the simplified expression is u^(3) - v^(3).

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Answer:

Je suis désolé, mais je ne sais pas à quoi fait référence l'exo 135. Pouvez-vous me donner plus de détails sur ce que vous cherchez à comprendre ou résoudre ? Je suis heureux de vous aider si je peux comprendre la question.

The number of each type of coin they have is 42 quarters and 12 nickels.

To find out how many of each type of coin Kevin and Randy Muise have, we can use a system of equations. Let's call the number of quarters "q" and the number of nickels "n". We can create two equations based on the information given:

q + n = 54 (the total number of coins)

0.25q + 0.05n = 11.10 (the total value of the coins)

Now we can use the substitution method to solve for one of the variables. Let's solve for "n" in the first equation:

n = 54 - q

Now we can substitute this value of "n" into the second equation:

0.25q + 0.05(54 - q) = 11.10

Simplifying and solving for "q":

0.25q + 2.7 - 0.05q = 11.10

0.20q = 8.40

q = 42

Now we can plug this value of "q" back into the first equation to find "n":

n = 54 - 42

n = 12

So Kevin and Randy Muise have 42 quarters and 12 nickels in their jar.

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Answer:

Yes

Step-by-step explanation:

They both are added by 4

Therefore, ∑F(i) = F(n+2) - 1 is true for the disk transportation problem.

The disk transportation problem described in the question is a classic example of the Tower of Hanoi puzzle. The goal of the puzzle is to move all the disks from peg A to peg C while following the rules mentioned in the question. The recurrence relation for computing the total number of moves required to transfer the n disks from peg A to peg C can be written as follows:

F(n) = 2F(n-1) + 1

This recurrence relation can be derived by considering the fact that to move n disks from peg A to peg C, we first need to move the top n-1 disks from peg A to peg B using peg C as an intermediate peg. This requires F(n-1) moves. Next, we need to move the largest disk from peg A to peg C, which requires 1 move. Finally, we need to move the n-1 disks from peg B to peg C using peg A as an intermediate peg, which again requires F(n-1) moves. Therefore, the total number of moves required to transfer the n disks from peg A to peg C is F(n) = 2F(n-1) + 1.

Now, to show that ∑F(i) = F(n+2) - 1, we can use the recurrence relation F(n) = 2F(n-1) + 1 and the fact that F(1) = 1. By substituting n = 1, 2, 3, ..., n-1, n in the recurrence relation and adding all the equations, we get:

∑F(i) = 2∑F(i-1) + n

Using the fact that F(1) = 1 and rearranging the terms, we get:

∑F(i) = F(n+1) - 1

Therefore, ∑F(i) = F(n+2) - 1 is true for the disk transportation problem.

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In the given problem, we need to find the area of the trapezoid in which the height is 8 yards. The area of the given trapezoid is 92 square yards.

If the length of a trapezoid's parallel sides and the distance (height) between them are known, the area of the shape may be determined.

A = (a+b)h/2 is the formula for a trapezoid's surface area.

where "a" and "b" are the lengths of the base of the trapezoid and "h" represents the height of the figure.

We have been given the values,

The length of the bases is 10 and 13 yards and,

the height of the trapezoid is 8 yards.

So, according to the formula for determining the area,

Area of a trapezoid,

"A" = {(10 + 13)8} / 2

⇒ A = {184}/2

⇒ A = 92 square yards.

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Answer: In the given square-based pyramid: The edge length of the square base (a)=10 m ( a ) = 10 m . The slant length of the pyramid (l)=12 m

Step-by-step explanation:

Answer:

I found this i hope it is correct

Step-by-step explanation:

The volume of a square-based pyramid is given by the formula:

V = (1/3) * base area * height

The base area of the pyramid is the area of a square with side length 10 cm:

base area = 10 cm * 10 cm = 100 cm^2

Substituting the given values into the formula:

V = (1/3) * 100 cm^2 * 12 cm

V = 400 cm^3

Therefore, the volume of the pyramid is 400 cubic centimeters.