How much is f(x) = 3(4)x

Based on the information given, the price of donut will be 1.5 and the price of muffin is 3.8.

The equation to represent the first customer is 4x + 10y = 32

The equation to represent the 2nd customer is 12x + 5y = 21

Solving the equations will be:

4x + 10y = 32 ...... i

12x + 5y = 21 ......ii

Multiply equation i by 12

Multiply equation ii by 4

48x + 120y = 384

48x + 20y = 84

100y = 380

y = 380/100 = 3.8

Therefore, we'll find the value for x which will be:

4x + 10y = 32

4x + 10(3.8) = 32

4x = 32 - 38

4x = -6

x = -1.5

Therefore, the price of donuts will be 1.5 and the price of muffin is 3.8.

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Answer:

im pretty sure its b but if its not then i apologise

Answer:2422728

Step-by-step explanation:

Answer:

x= 32 i think

CD= 51

Step-by-step explanation:

Answer:

9x-15=7x-1. => 2x=14 x=7

CD= 7×7-1=48

[tex](-3c^8)(2c^6d^8)\implies (-3)(2)c^8c^6d^8\implies -6c^{8+6}d^8\implies -6c^{14}d^8[/tex]

Step-by-step explanation:A(n)=−5+6(n−1)a, left parenthesis, n, right parenthesis, equals, minus, 5, plus, 6, left parenthesis, n, minus, 1, right parenthesis find the 12^\text{th}12 th 12, start superscript, t, h, end superscript term in the sequence

A(n)=−5+6(n−1)a, left parenthesis, n, right parenthesis, equals, minus, 5, plus, 6, left parenthesis, n, minus, 1, right parenthesis find the 12^\text{th}12 th 12, start superscript, t, h, end superscript term in the sequence

A sequence is an enumerated group of items in mathematics where repetitions are permitted and order is important. It has members, just like a set does. The length of the sequence is determined by the number of items.

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Answer:

$500

Step-by-step explanation:

John earns $100 per night.

He works 5 nights a week.

Therefore his weekly gross wage = $100 × 5

= $500

Answer:

  (1, 5)

Step-by-step explanation:

When the center is the origin, the dilation factor multiplies each coordinate:

  (2, 10) ⇒ (1/2)(2, 10) = (1, 5)

Answer:

c

Step-by-step explanation:

14-11=3

12-9=3

10-7=3

8-5=3

Answer:

A

Step-by-step explanation:

It isn’t proportional because when you graph the coordinates, it doesn’t pass the origin, so it isn’t equivalent. Therefore, making the answer A.

Answer:

draw a rectangle

Step-by-step explanation:

a rectangle has 2 long sides and 2 short ones it has 2 sets of simailer and has 2 perpundicular

Answer:

Answer:

C

Step-by-step explanation:

Using the probability table, it is found that:

a) There is a 0.25 = 25% probability that this couple spends 45 dollars or more.

b) The expected amount the couple actually has to pay is $36.85.

From the table, the probabilities of each total cost are:

[tex]P(X = 30) = P(X = 15|Y = 15) = 0.2[/tex]

[tex]P(X = 35) = P(X = 15|Y = 20) + P(X = 20|Y = 15) = 0.15 + 0.15 = 0.3[/tex]

[tex]P(X = 40) = P(X = 15|Y = 25) + P(X = 20|Y = 20) + P(X = 25|Y = 15) = 0.05 + 0.15 + 0.05 = 0.25[/tex]

[tex]P(X = 45) = P(X = 20|Y = 25) + P(X = 25|Y = 20) = 0.1 + 0.1 = 0.2[/tex]

[tex]P(X = 50) = P(X = 25|Y = 25) = 0.05[/tex]

Item a:

This probability is:

[tex]P(X \geq 45) = P(X = 45) + P(X = 50) = 0.2 + 0.05 = 0.25[/tex]

There is a 0.25 = 25% probability that this couple spends 45 dollars or more.

Item b:

The expected value is the sum of each outcome multiplied by it's respective probability.

Hence:

[tex]E(X) = 0.2(30) + 0.3(35) + 0.25(40) + 0.9[0.2(45) + 0.05(50)] = 36.85[/tex]

The expected amount the couple actually has to pay is $36.85.

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Answer:

Step-by-step explanation:

Given is an absolute value function f(x) = |x|

Its vertex is at origin, the function is decreasing at negative values of x and increasing at positive values of x:

Correct answer choice is A

Answer:

B. y = 3x^2 + 3x - 3

Step-by-step explanation:

Find the function rule.

y = 3 x ^2 + 3 x − 3

\table[[x,y],[-1,-3],[0,-3],[3,33]]

The quadratic function to model the values in the table is,

⇒ y = 3x² + 3x - 3

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The values of x and y in the table are,

⇒ x = - 1, 0, 3

⇒ y = - 3, - 3, 33

Now, We know that;

The standard form of the quadratic equation is,

⇒ y = ax² + bx + c

Put x = - 1, y = - 3;

⇒ - 3 = a (- 1)² + b (- 1) + c

⇒ - 3 = a - b + c  .. (i)

Put x = 0, y = - 3;

⇒ - 3 = a (0)² + b (0) + c

⇒ - 3 = c

Put x = 3, y = 33;

⇒ 33 = a (3)² + b (3) + c

⇒ 33 = 9a + 3b - 3

⇒ 36 = 9a + 3b

⇒ 36/3 = 3a + b

⇒ 3a + b = 12  .. (ii)

From (i);

⇒ - 3 = a - b + c

⇒ - 3 = a - b - 3

⇒ a - b = 0 .. (iii)

Solve for (i) and (iii), we get;

⇒ a = 3, b = 3

Hence, The quadratic function to model the values in the table is,

⇒ y = ax² + bx + c

⇒ y = 3x² + 3x - 3

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Based on the information given the number of plates that the baker will need is 61 plates.

Using this formula

Number of plates=Number of cookies arranged/Each plates number of cookies

Where:

Number of cookies arranged=487

Each plates number of cookies=8

Let plug in the formula

Number of plates=487/8

Number of plates=60.9

Number of plates=61 plates (Approximately)

Inconclusion the number of plates that the baker will need is 61 plates.

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Answer:

7/2(1/2)^(n-1)

Step-by-step explanation:

multiplied by 1/2 each time, and first one is 7/2, so 7/2(1/2)^(n-1)

Answer:

∠ACD = 33.5°

Step-by-step explanation:

The arc length will be twice ∠ ABD,

∠ABD will equal ∠ACD because they subtend the same arc length.

3x + 7 = 2(2x - 6.5)

3x + 7 = 4x - 13

x = 20

∠ABD = (2(20) - 6.5) = 33.5

Answer:

Step-by-step explanation:

Answer:

B.15

Step-by-step explanation:

The answer is 15 because we can identify this shape as a quadrilateral kite

So, we know that a quadrilateral kite has two pairs of congruent adjacent sides

Therefore AB = AC and BD = DC

Answer:

12.56 m²

Step-by-step explanation:

Circle with diameter 4 has a radius of 2

Area of Circle = πr²

Area of Circle = 3.14(2²)

Area of Circle = 12.56

El círculo de diámetro 4 tiene un radio de 2

Área del círculo = πr²

Área del círculo = 3,14 (2²)

Área del círculo = 12.56

-Chetan K

here are the correct answers :)

Answer:

-0.366666666667

Step-by-step explanation:

that's what you get when you divide -22/5 (-4 2/5) by 4/3 (1 1/3)

Answer:

-24/5 is the correct answer.

Steps:

1) -4 x 2/5 = -8/5

2) 1 x 1/3 = 1/3

3) -8/5 : 1/3 = -24/5

[tex]\text{Area of rectangle} = \text{Length} \times \text{Width}\\\\\\\implies \text{Width} = \dfrac{\text{Area of reactangle}}{\text{Length}} = \dfrac{x^2 +8x +12}{x+6} = \dfrac{x^2 + 6x +2x +12}{x+6}\\\\\\\\ = \dfrac{x(x+6) +2(x+6)}{x+6}=\dfrac{(x+6)(x+2)}{x+6} = x+2[/tex]

Answer:

C

Step-by-step explanation:

it is none of the above, because

x - (-x) = x + x = 2x

and that is not -x

0 - (-x) = 0 + x = x

and that is not -x