MATHEMATICS MIDDLE SCHOOL

Solve
In 2x + In 2=0

Answers

Answer 1

Answer:

The solution to the equation log(2x) + log(2) = 0 is x = 1/4.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the liketerms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Using the properties of logarithms,

We can simplify the given equation as follows:

log (2x) + log (2) = 0

Combining the logarithms using the product rule of logarithms.

log((2x)2) = 0

Simplifying inside the logarithm.

log(4x) = 0

Using the definition of logarithms,

We can rewrite this equation as:

$10^0$ = 4x

Simplifying the left side.

1 = 4x

Dividing both sides by 4,.

x = 1/4

Therefore,

The solution to the equation log(2x) + log(2) = 0 is x = 1/4.

Learn more about expressions here:

brainly.com/question/3118662

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Answer 2

Answer:

Answer:

x=1/4 or x=0.25

Step-by-step explanation:

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Bruce saved $35.00 to buy a new video game. The game's original price was $42.00, but it was on sale for 30% off. The sales tax rate was 5% Did Bruce have enough money to buy the game? Explain.

Answers

yes because if the original price is $42 and you take off the 30% it will be 12.6 plus the sale tax rate it will be $13.10 and he will have $21.90 left

Figure B: a reflection across the y-axisFigure a 180° rotation around the origin

Answers

Since I can't see the figure on the coordinate plane, I can't give you exact coordinates for you to plot to get Figure B or Figure C. But I can tell you the transformation rules for reflection across the y-axis and the 180 rotation around the origin.

Rule for reflection across y-axis
(x, y) $\rightarrow$ (-x, y)
For example: Point B in a sample figure has the coordinate point of (1,2) would have a point of (-1, 2) when reflected across the y-axis.

Rule for rotating 180 degrees
(x, y) $\rightarrow$ (-x, -y)
For example: Point C in a sample figure has the coordinate point of (3, 4) would have a point of (-3, -4) when rotating 180 degrees around the origin.

What is the angle of B. Round your answer to the nearest hundredth

Answers

Answer:

B = 53.13

Step-by-step explanation:

Since this is a right triangle, we can use the tan function

tan B = opposite side/ adjacent side

tan B = 4/3

Take the inverse tan of each side

tan ^-1 (tan B) = tan^-1 (4/3)

B = 53.13010235

To the nearest hundredth

B = 53.13

What is the product of -0.2 and -6.8

Answers

On a calculator I got 1.36 when I multiplied -0.2 x -6.8

Hi!

-0.2 = -2/10 = -1/5

-0.2 × -6.8 =
-1/5 × -6.8 =
-1/5 × -6.8/1 =
(-1×-6.8)/(5×1) =
6.8/5 =
1.36

Answer:

1.36

How many times does 12 go into 62.

Answers

12 can go into 62, 5 times

We will have a remainder of 2

Therefore, our final answer is that 12 can go into 62 five times. And their will be a remainder of 2.

A word problem to represent this:- James had 62 apples, he wanted to give 12 friends apples. How much apples will each get and how much will be left for james. (He wants to give everyone a fair amount)

We have our equation: 12x=62

12x=62
12/12= 62/12
x=5 and remainder of 2

So each of James friends get 5 apples and James gets 2 for himself.

5 whole with the denominater of 12 and the numerater of 2

A radio telescope has a parabolic surface, as shown below. A parabola opening up with vertex at the origin is graphed on the coordinate plane. The height of the parabola from top to bottom is 1 meter and its width from left to right is 8 meters. If the telescope is 1 m deep and 8 m wide, how far is the focus from the vertex?