given f(x)=3x-5, solve for x when f(x)= (x-1)

The statement about the graph of y = tan x that is true is A The period is 2pi.

In the graph of y = tan x, the function has vertical asymptotes at x = (2n + 1)π/2, where n is an integer. At these points, the value of cos x becomes zero, causing the tangent function to approach positive or negative infinity.

The period of a function is the smallest positive number such that the graph of the function repeats itself after being shifted that number of units to the right or left. In the case of y=tanx, the graph repeats itself after being shifted π units to the right.

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Which statement about the graph of y = tan x is true?

A The period is 2pi.

B The function has horizontal asymptotes whenever cos x = 0.

C The function has zeros whenever csc x = 0.

D The function is increasing everywhere in its domain

To determine which company offers the better deal, we compare the total costs for different amounts of fencing. Company 1 has a better deal for less than 608 ft of fencing, while Company 2 is more cost-effective for 608 ft or more.

To determine which company offers the better deal for fencing, we need to compare the total cost for a specific amount of fencing between the two companies.

Let's consider the amount of fencing required as "x" feet.

Company 1 charges $200 for the first 150 ft of fencing and $18 for each additional foot. So, the total cost for x feet of fencing with Company 1 can be calculated as:

Cost1 = $200 + $18 × (x - 150)

Company 2 charges $450 for the first 75 ft of fencing and $15 for each additional foot. Thus, the total cost for x feet of fencing with Company 2 is:

Cost2 = $450 + $15 × (x - 75)

To determine which company offers the better deal, we need to find the range of x values for which Cost1 is less than Cost2. Let's set up the inequality:

Cost1 < Cost2

$200 + $18 × (x - 150) < $450 + $15 × (x - 75)

Now, we can solve this inequality to find the range of x values where Company 1's cost is less than Company 2's cost.

$200 + $18x - $2700 < $450 + $15x - $1125

Combining like terms:

$18x - $2499 < $15x - $675

Subtracting $15x from both sides:

$3x - $2499 < - $675

Adding $2499 to both sides:

$3x < $1824

Dividing both sides by $3 (since x represents feet, we can ignore the currency):

x < $1824 / $3

x < 608

Therefore, for any value of x less than 608 feet, Company 1 has a better deal. However, when x is equal to or greater than 608 feet, Company 2 offers a better deal.

To provide evidence supporting this answer, let's consider an example:

Suppose we need 200 feet of fencing.

Using Company 1:

Cost1 = $200 + $18 × (200 - 150)

Cost1 = $200 + $18 × 50

Cost1 = $200 + $900

Cost1 = $1100

Using Company 2:

Cost2 = $450 + $15 × (200 - 75)

Cost2 = $450 + $15 × 125

Cost2 = $450 + $1875

Cost2 = $2325

In this example, Company 1's cost is $1100, while Company 2's cost is $2325. Hence, for 200 feet of fencing, Company 1 provides the better deal.

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Answer:

100 cubic feet

Step-by-step explanation:

To find the volume of a rectangular prism, we need to multiply the area of the base by the height.

Given:

Area of the top face = 20 ft²

Height = 5 ft

The volume (V) can be calculated as follows:

V = Area of the top face * Height

V = 20 ft² * 5 ft

V = 100 ft³

Therefore, the volume of the rectangular prism is 100 cubic feet.

Answer:

  0.90

Step-by-step explanation:

You want the probability of either event A or event B given the Venn diagram shown.

The probability of an event shown in the diagram is the ratio of counts for that event to the total of all counts in the diagram. That total is 50.

The number of counts that are not part of either event is shown as 5.

  P(A or B) = 1 - P(not (A or B)) = 1 - 5/50

  P(A or B) = 0.90

__

Additional comment

Using the given formula, ...

  P(A or B) = (25+5)/50 +(15 +5)/50 -5/50 = (25 +15 +5)/50 = 45/50

  P(A or B) = 0.90

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To find the value of f^(-1)(7), we need to determine the inverse function of f(x) = 0.5(3)^x.

To find the inverse function, we interchange the roles of x and y and solve for y.

Let's start with the original function:

y = 0.5(3)^x

Now, let's interchange x and y:

x = 0.5(3)^y

Next, solve for y:

x = 0.5(3)^y

2x = 3^y

log base 3 (2x) = y

So, the inverse function of f(x) = 0.5(3)^x is:

f^(-1)(x) = log base 3 (2x)

Now, we can find the value of f^(-1)(7):

f^(-1)(7) = log base 3 (2 * 7)

= log base 3 (14)

Using a calculator, we can approximate the value of log base 3 (14) to be approximately 2.264.

Therefore, the value of f^(-1)(7) is approximately 2.264.

Answer:

The complex number represented by the polar coordinates (4, -π/4) is 4(cos(-π/4) + i*sin(-π/4)).

Answer:

please see answers below

Step-by-step explanation:

In a right-angled triangle, a ² + b ² = c ².

angles in a triangle add up to 180°.

Sine rule:   a/SIN A  =  b/SIN B  =   c/SIN C

angle C = 90° (little square means 90).

if angle A is 30, then angle B must be 180 - 90 - 30 = 60°.

using the Sine rule:

a/Sin A  =  c/Sin C

multiply both sides by Sin A:

a = (c Sin A) / Sin C

= (12 Sin 30) / Sin 90

= 6.

so a = 6.

Using Pythagoras (In a right-angled triangle, a ² + b ² = c ²),

c² = a² + b²

b² = c² - a²

= 12² - 6²

= 144 - 36

= 108

so b² = 108

b = √108

angle B is correct

Answer:

Step-by-step explanation:

The probability that both spins result in the same color is 1/4 or 25%.

The percentage of drivers who are at least 45 is 62%

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

The table of values

From the table, we have

Age 45 = 62 percentile

When represented properly

So, we have

Age 45 = 62%

This means that the percentage of drivers who are at least 45 is 62%

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floor plan => It is the scale drawing that show the relationship between rooms, spaces, and physical features viewed from the above

THIS PIC WILL ALSO HELP U

Answer:

Step-by-step explanation:

To find the arithmetic means in the given sequence, we need to determine the missing numbers between 175 and 235.

Let's calculate the differences between consecutive terms:

1st difference: 235 - 175 = 60

2nd difference: (Next number) - (Previous number) = (Next number) - 235

Since the differences are constant, we can add the same value to each term to find the missing numbers.

Let's calculate the missing numbers using the 1st difference:

175 + 60 = 235

175 + 60 + 60 = 295

175 + 60 + 60 + 60 = 355

Now we have the complete sequence: 175, 235, 295, 355.

To find the arithmetic means, we take the average of consecutive terms:

1st arithmetic mean: (175 + 235) / 2 = 205

2nd arithmetic mean: (235 + 295) / 2 = 265

3rd arithmetic mean: (295 + 355) / 2 = 325

Among the given choices, the correct answer is:

c. 220, 205, 190

This answer represents the correct sequence of arithmetic means between 175 and 235.

Julia's total cost for the car purchase, including the negotiated price, rebate coupon deduction, optional stereo and accessories, and financing, amounts to $16,531.05 + $380 = $16,911.05 (excluding title fees, license plate charges, and sales taxes).

Let's break down the information given and calculate the various costs and payments involved in Julia's car purchase:

1. Dealer's Cost:

The dealer's cost is 11.7% lower than the sticker price of $17,350.

Dealer's Cost = $17,350 - (11.7% * $17,350) = $15,320.95

2. Negotiated Price:

Julia negotiated a price that left the dealer with a 9.5% profit margin over the invoice price.

Negotiated Price = Dealer's Cost + (9.5% * Dealer's Cost) = $15,320.95 + (9.5% * $15,320.95) = $16,781.05

3. Rebate Coupon:

Julia has a rebate coupon of $250, which will be deducted from the negotiated price.

Negotiated Price after Rebate = Negotiated Price - $250 = $16,781.05 - $250 = $16,531.05

4. Optional Stereo and Accessories:

Julia ordered a $300 stereo unit and other accessories costing $80.

Total Additional Cost = $300 + $80 = $380

5. Financing:

Julia will finance 83% of the total cost at an APR of 9 ¼ % over 4 years.

Loan Amount = 83% * Negotiated Price after Rebate = 83% * $16,531.05 = $13,711.48

APR = 9.25%

Loan Term = 4 years

6. Title Fees, License Plate Charges, and Sales Taxes:

The costs for title fees, license plate charges, and sales taxes will be paid later at the Registry of Motor Vehicles and are not included in the calculations above.

In summary, Julia's total cost for the car purchase, including the negotiated price, rebate coupon deduction, optional stereo and accessories, and financing, amounts to $16,531.05 + $380 = $16,911.05 (excluding title fees, license plate charges, and sales taxes).

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Answer:

76b^2

Step-by-step explanation:

Basically you just multiply 4x19 which gives you 76, and the two b's equal b^2 (I'm not great at explaining i know)

Answer:

C.

Step-by-step explanation:

A chord has two endpoints on the circle. A diameter is a special chord bc it also goes through the center.

RT is the diameter and the rest of answer A are radii (plural of radius)

answer B is a chord, the diameter, but thats not the only chord.

answer D are chords but they forgot RT.



So, C. is the best answer.

Option C is the table of values representing a proportional relationship in the context of this problem.

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable is present.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero given as follows:

y = kx.

The slope k is the constant of proportionality, representing the increase or decrease in the output variable y when the constant variable x is increased by one.

For item c, we have that the output is equals to the input, hence the proportional relationship is given as follows:

y = x.

The problem asks for which table represents a proportional relationship.

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Answer:

k = - 9

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given equation of PQ is

3x - 2y = 12 ( subtract 3x from both sides )

- 2y = - 3x + 12 ( divide through by - 2 )

y = [tex]\frac{3}{2}[/tex] x - 6 ← in slope- intercept form

with slope m = [tex]\frac{3}{2}[/tex]

now calculate the slope of PQ using the slope formula and equate to [tex]\frac{3}{2}[/tex]

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = P (6, 3 ) and (x₂, y₂ ) = Q (- 2, k )

m = [tex]\frac{k-3}{-2-6}[/tex] = [tex]\frac{k-3}{-8}[/tex]

equating the slopes of PQ

[tex]\frac{k-3}{-8}[/tex] = [tex]\frac{3}{2}[/tex] ( cross- multiply )

2(k - 3) = - 8 × 3 = - 24 ( divide both sides by 2 )

k - 3 = - 12 ( add 3 to both sides )

k = - 9

Answer:

Option C y = -4x + 9

Step-by-step explanation:

            The line l bisects BC. The line l passes through the midpoint of BC.

B(1, 4) ; C(3 , -2)

  [tex]\sf Midpoint \ of \ BC = \left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

                           [tex]\sf = \left(\dfrac{1+3}{2},\dfrac{4-2}2{}\right)\\\\\\=\left(\dfrac{4}{2},\dfrac{2}{2}\right)\\\\\\=(2 , 1)[/tex]

Line l passes through (2,1) and A(3 , -3),

    [tex]\sf \boxed{Slope =\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

                [tex]\sf =\dfrac{-3-1}{3-2}\\\\\\=\dfrac{-4}{1}\\\\=-4[/tex]

m = -4

Equation of line in slope intercept form: y =mx +c

Here, m is the slope and c is the y-intercept.

        y = -4x + c

    As the line l is passing through (2,1), substitute the point (2,1) in the above equation and find c.

        1 = -4*2 + c

        1 = -8 +  c

  1 + 8 = c

        c = 9

Equation of the line l:

       y = -4x + 9    

Answer:

45

Step-by-step explanation:

Plug in the numbers with their variables.

6(5)+5(3)

30+15

45

Hope this helps

The largest possible number of people attending the match is 31,249, and the smallest possible number is 31,100.

To determine the largest and smallest possible number of people attending the football match, given that the figure is stated as 31,200 with 3 significant figures, we need to consider the range of values that can be represented within that significant figures constraint.

For a number to be stated with 3 significant figures, the last significant figure is uncertain and can be either rounded up or down.

To find the largest and smallest possible numbers, we'll consider the cases where the last significant figure is rounded up and rounded down.

Rounding up:

If we round up the last significant figure, the possible range of values is from 31,150 to 31,249.

So the largest possible number of people attending the match would be 31,249.

Rounding down:

If we round down the last significant figure, the possible range of values is from 31,100 to 31,199.

So the smallest possible number of people attending the match would be 31,100.

Therefore, the largest possible number of people attending the match is 31,249, and the smallest possible number is 31,100.

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Answer:

x = 1 or x = 7

Step-by-step explanation:

-x² + 8x - 7

= -(x² - 8x) - 7

= - [(x - 4)² - 16] - 7

= -(x - 4)² + 16 - 7

= -(x - 4)² + 9.

-(x - 4)² + 9 = 0

-(x - 4)² = -9

(x - 4)² = 9

x - 4 = ±√9

x - 4 = ±3

x = 3 + 4 or x = -3 + 4

x = 7 or x = 1

The coordinates of midpoint P are P(-1/2, 3/2) and coordinates of midpoint Q are Q(-3/2, -4).

To find the coordinates of the midpoints P and Q of sides AB and AC, we can use the midpoint formula.

The midpoint formula states that the coordinates of the midpoint of a line segment between two points (x1, y1) and (x2, y2) are given by:

Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)

Using this formula, we can find the coordinates of P and Q as follows:

Coordinates of midpoint P:

P = ((2 + (-3)) / 2, (-1 + 4) / 2)

= (-1/2, 3/2)

Therefore, the coordinates of midpoint P are P(-1/2, 3/2).

Coordinates of midpoint Q:

Q = ((2 + (-5)) / 2, (-1 + (-7)) / 2)

= (-3/2, -4)

Therefore, the coordinates of midpoint Q are Q(-3/2, -4).

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Let the points A(2,-1), B(-3,4), and C(-5,-7) be the vertices of triangle A B C. Let P and Q be the midpoints of the sides AB and AC respectively. Find the coordinates of P and Q. (2 marks)

Answer:

19 - 42x

Step-by-step explanation:

To differentiate this, we must use the product rule
f'(x) = (7x+3)'(4-3x) + (4-3x)'(7x+3)
= (7)(4-3x) + (-3)(7x+3)
= 28 - 21x - 21x - 9
= 19 - 42x

The relationship between Calorie and weight is very weak and insignificant.

Comparing the relationship between Calorie and Weight using the correlation coefficient, the coefficient value obtained is 0.0086 which is very weak.

There is no obvious pattern linking an increase in calorie to Weight or decrease in association between the two variables.

Therefore, we can conclude that a very weak and insignificant relationship exists between Calorie and weight for the given data.

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Answer:

Step-by-step explanation:

According to the sources I found, cows consume an average of 3 to 30 gallons of water per day. One gallon is equivalent to 3.78541 liters. Therefore, a cow drinks between 11.35623 liters and 113.5623 liters per day.

If we assume that each cow drinks 30 gallons (113.5623 liters) per day, then a full trough would have enough water for 2.37 cows per day (226.8 liters / 113.5623 liters per cow). Therefore, Zipho’s statement is incorrect if we assume that each cow drinks 56 liters per day.

Answer:

5446cm²

Step-by-step explanation:

the surface area = the 2 isosceles triangles + the 2 sides + the base

= 2 (24/2 X 35) + 2(37 X 47) + (47 X 24)

= 5446cm²

Answer: 5,446 cm²

Step-by-step explanation:

First, we will find the area of the two triangle sides.

       A = 2 * ([tex]\frac{bh}{2}[/tex])

       A = bh

       A = (35 cm)(24 cm)

       A = 840 cm²

Next, we will find the area of the three rectangular sides. We have two that are congruent and a third that is not.

       A = 2 * (LW)

       A = 2 * ((47 cm)(37 cm))

       A = 2 * 1,739 cm²

       A = 3,478 cm²

       A = LW

       A = (24 cm)(47 cm)

       A = 1,128 cm²

Lastly, we will add all of these faces together.

       840 cm² + 3,478 cm² + 1,128 cm² = 5,446 cm²

Answer: The answer is A.

Step-by-step explanation: The surface area of a triangular prism is given by A = b h + ( b 1 + b 2 + b 3 ) l units 2 where is the base of a triangular face, is the height of a triangular face, , , and are the sides of the triangular base, and is the length of the prism.

Answer:

It's the 3rd one down. 4,-12,6,42,18,0

Step-by-step explanation:

Answer:

[24  -12  6]

[42   18  0]

Step-by-step explanation:

Multiply each number in the brackets individually by 6.

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The own price elasticity of good X is -0.60, so we can conclude that good X is price inelastic.

The own price elasticity of good X is calculated using the formula:

Given the demand function for good X: Qxd = 6 - 2Px + 5Py, we can calculate the initial quantity demanded at a price of $3 per unit:

Qxd1 = 6 - 2(3) + 5(2)

= 6 - 6 + 10

= 10

The new quantity demanded when the price changes to $2.90 per unit:

[tex]Qxd_2[/tex] = 6 - 2(2.90) + 5(2)

[tex]Qxd_2[/tex] = 6 - 5.80 + 10

[tex]Qxd_2[/tex] = 10.20

Now, we can calculate the percentage change in quantity demanded:

% Change in Quantity Demanded = (Qxd2 - Qxd1) / Qxd1 * 100

% Change in Quantity Demanded = (10.20 - 10) / 10 * 100

% Change in Quantity Demanded = 0.20 / 10 * 100

% Change in Quantity Demanded = 2%

Next, we calculate the percentage change in price:

% Change in Price = (New Price - Old Price) / Old Price * 100

% Change in Price = (2.90 - 3) / 3 * 100

% Change in Price = -0.10 / 3 * 100

% Change in Price = -3.33%

The own price elasticity will be:

Elasticity = (% Change in Quantity Demanded) / (% Change in Price)

Elasticity = 2% / -3.33%

Elasticity ≈ -0.60

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Answer:

ab(3a + 4b)

Step-by-step explanation:

Here are the steps on how to write the expression

3a^2 b + 4ab^2 as an equivalent algebraic expression:

1. Factor out the greatest common factor, which is ab.

2. The expression becomes ab(3a + 4b).

3. This is an equivalent algebraic expression to 3a^2 b + 4ab^2.

steps:

I hope this helps! Let me know if you have any other questions.

Answer:

Step-by-step explanation:

To simplify the expression 3a^2b + 4ab^2, [ we can factor out the common factor of ab from both terms: Step 1: Take out the common factor of ab. 3a^2b + 4ab^2 = ab(3a + 4b) Now the expression is in its factored form.

Answer:

14

Step-by-step explanation:

Assuming you meant to find MN.

Given that MN is parallel to the bases of the given trapezoid, and is connected to the midpoints of both sides, we can infer that MN is the midsegment of the given trapezoid.

The length of a midsegment is given by half the sum of the bases.
Therefore, MN = (18 + 10)/2 = 28/2 = 14