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3 years ago

Write a situation for the following inequality: x>25

1 answer:

8 0

X represents the number of books you have. If you say to a friend "I have more than 25 books" then you can write "x > 25" which says "x is greater than 25"

Something like x = 50 will make x > 25 since 50 is larger than 25. In contrast, a value like x = 20 is going to make x > 25 false because 20 > 25 is false (20 is smaller than 25, not larger)

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3x-2(x+3)=4x-9-x is the question

kozerog [31]

Answer:

$\large\boxed{x = 7}$

Step-by-step explanation:

3x - 2(x + 3) = 4x - 9 - x

Start by multiplying 2 by the values in the parenthesis

3x - 2x + 6 = 4x - 9 - x

Subtract 3x - 2x and 4x - x

x + 5 = 3x - 9

Add 9 to both sides of the equation

x + 14 = 3x

Subtract x from both sides of the equation

14 = 2x

Divide both sides of the equation by 2

$\large\boxed{x = 7}$

Hope this helps :)

8 0

3 years ago

An angle measures 40.2° more than the measure of its complementary angle. What is the measure of each angle?

vampirchik [111]

<h3>Solving for the measurements of Complementary Angles</h3><h3>Answer:</h3>

$24.9^{\circ}$ and $65.1^{\circ}$

<h3>Step-by-step explanation:</h3>

Recall that Angles that are complementary to each other add up to $90^{\circ}$ .

Let $a$ be the measure of the complementary angle.

If an angle is $40.2^{\circ}$ more than its complementary angle, the measure of that angle is $a +40.2$ . The sum of both angles are expressed $a +(a +40.2)$ but since the have to add to $90$ as they are complementary, $a +(a +40.2) = 90$ .

Solving for $a$ :

$a +(a +40.2) = 90 \\ a +a +40.2 = 90 \\ 2a +40.2 = 90 \\ 2a +40.2 -40.2 = 90 -40.2 \\ 2a = 49.8 \\ \frac{2a}{2} = \frac{49.8}{2} \\ a = 24.9$

Since the other angle measures $a +40.2$ , we can plug in the value of $a$ to find the measure of the angle.

Evaluating $a +40.2$ :

$a +40.2 \\ 24.9 +40.2 \\ 65.1$

The measure of the angles are $24.9^{\circ}$ and $65.1^{\circ}$

4 0

3 years ago

Jason flips a coin 100 times and lands on heads 59 times. He states that the theoretical probability of flipping a coin and gett

BabaBlast [244]

That is a false statement the coin has two sides one with a head and a tail’s it will always be a 50 out of 100 chance that it will land on heads or tails so basically FALSE

3 0

3 years ago

If the composition of two functions is:

mina [271]

You are correct! The problems that can arise with a function domain are:

Denominators that become zero
Even-degree roots with negative input
Logarithms with negative or zero input

In this case, you have a denominator, and you don't have roots nor logarithms. This means that your only concern must be the denominator, specifically, it cannot be zero.

And you simply have

$x-3\neq 0 \iff x \neq 3$

So, the domain of this function includes every number except 3.

3 0

3 years ago

Read 2 more answers

After solving an equation, you end up with integers on both sides of the equation. What can you interpret about the equation are

murzikaleks [220]

Answer:

The equation is:

An identity

Has infinitely many solutions

No solution

Step-by-step explanation:

Because there is integers on both sides, we know that any attempts to fix this will either cause an identity, or a false numerical equation(an identity but <em>w r o n g</em>).(Note, an identity can either mean 2 = 2 or x = x).

Identities have infinite solutions, because it does not matter what you put in, the equation will always be true. False equations do not have a solution because they aren't even true equations.

Hope this helps!

5 0

3 years ago