My question is, what is: log6(4x-8)=3

Answers

Answer 1

Answer: $log_6(4x-8)=3\ (*)\n\nD:4x-8 > 0\to4x > 8\to x > 2\to x\in(2;\ \infty)\n\n(*)\ 4x-8=6^3\n\n4x=216+8\n\n4x=224\ \ \ \ /:4\n\nx=56\in D$

Answer 2

Answer: 4x-8=6^3
4x-8=216
4x=224
x=56

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Three friends are selling items at a bake sale. May make $23.25 seeking bread. Inez sells gift baskets and makes 100 times as much as May. Carolyn self pies and make one tenth of the money Inez makes. How much money does each friend make.

Answers

The amounts earned by the three friends are:

May: $ 23. 25 selling bread.
Inez: $ 2, 325 selling gift baskets.
Carolyn: $ 232. 50 selling pies.

How to find the amounts earned ?

May makes $23.25 selling bread.

Inez makes 100 times as much as May. So, Inez makes:

= $ 23. 25 ( what May make s) * 100

= $ 2, 325 selling gift baskets.

Carolyn makes one - tenth ( 10 % ) of the money Inez makes. So, Carolyn makes:

= 10 % of $ 2, 325 (what Inez makes)

= ( 0.10 * $ 2, 325 )

= $ 232. 50 selling pies

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MAY = $23.25

INEZ= 100 times as much as May
So May makes ; 23.25 * 100 =$2325

CAROLYN= 1/10 of the money Inez makes
So Carolyn makes ; 2325 * 1/10 = 2325 / 10 = $232.5

Hope that helps.

Compare and contrast the absolute value of a real number to that of a complex number.

Answers

The absolute value of a real number is a positive value of the number. Which means that the absolute value is the distance from zero of the number line. However, that of the complex numbers is the distance from the origin to the point in a complex plane.

The definition of complex, real and pure imaginary number is as follows:

$A \ \mathbf{complex \ number} \ is \ written \ in \ \mathbf{standard \ form} \ as:\n \n \ (a+bi) \n \n where \ a \ and \ b \ are \ real \ numbers. \ If \ b=0, \ the \ number \ a+bi=a \n is \ a \ \mathbf{real \ number}. \ If \ b\neq 0, \ the \ number \ (a+bi) \ is \ called \ an \n \mathbf{imaginary \ number}. \ A \ number \ of \ the \ form \ bi, \ where \ b\neq 0, \n is \ called \ a \ \mathbf{pure \ imaginary \ number}$

The absolute value of this number is given by:

$|a+bi|=\sqrt{a^(2)+b^(2)}$

So, the absolute value of a complex number represents the distance between the origin and the point in the complex plane. On the other hand, the absolute value of a real number means only how far a number is from zero without considering any direction.

Question number 4 please help

Answers

$(x^2+x-30)/(x^2-3x+2)\n\nx^2-3x+2=0\n\nx^2-x-2x+2=0\n\nx(x-1)-2(x-1)=0\n\n(x-1)(x-2)=0\iff x-1=0\ \vee\ x-2=0\n\nx=1\ \vee\ x=2\n\nAnswer:For\ x=1\ or\ x=2.$

The table shows the number of servings for different size cakes at Mimiy's bakery suppose a high school graduation expected 2,889guests how many X-large sheets Cakes should the school order? explain how you solved.

Answers

Answer:

Step-by-step explanation:

From the table given, at Mimi's Bakery, 1 X-Large sheet cake size will give us a number of servings of 120.

To find out how many X-Large cake size the school should order, simply divide the number of expected expected guests by the number of servings the X-Large cake will do.

Given that the score is expecting 2,889 guests, the school should order for:

2,889 ÷ 120 = 24.075 X-Large cakes.

Let's just say, an estimated 24 X-Large size cake should be ordered.

Final answer:

To determine the number of X-large sheet cakes the school should order, divide the total number of guests by the number of servings per cake and round up to the nearest whole number.

Explanation:

To determine how many X-large sheet cakes the school should order for 2,889 guests, we need to consult the table provided. The table shows the number of servings for different size cakes. Let's look at the X-large sheet cake row to find out how many servings it provides.

According to the table, the X-large sheet cake serves 64 people. To find out the number of X-large sheet cakes needed for 2,889 guests, we divide the total number of guests by the number of servings per cake:

Total number of guests / Number of servings per X-large sheet cake = Number of X-large sheet cakes needed

Using this formula, we have: 2,889 guests / 64 servings per X-large sheet cake = 45.14 X-large sheet cakes. Since we can't have a fraction of a cake, we round up to 46 X-large sheet cakes. Therefore, the school should order 46 X-large sheet cakes for the high school graduation.

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Select the action you would use to solve x/4 =16. Then select the property that justifies that action

Answers

Answer:

Given equation is:

x/4 = 16

Multiply both side of equation by 4

4* x/4 = 16*4

x= 64

Step-by-step explanation:

This is called Multiplication property of Equality.

If you multiply equation by a number on both sides, it remain same or balance.

Final answer:

The equation x/4 =16 is solved by multiplying both sides by 4, resulting in x = 64. This action is justified by the Multiplication Property of Equality.

Explanation:

To solve the equation x/4 =16, the action one would use is to multiply both sides of the equation by 4. This operation will isolate the variable 'x'.

Your equation would thus be transformed as: 4 * (x/4) = 16 * 4. This simplifies to x = 64.

The property that justifies this action is the Multiplication Property of Equality, which states that multiplying both sides of an equation by the same non-zero number does not change the equality.