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3 years ago

Please Hurry!!! What is the domain of f(x) = ?

Mathematics

2 answers:

Evgen [1.6K]3 years ago

3 0

Download an app called photomath
it will help you

Citrus2011 [14]3 years ago

3 0

Answer is (-∞. ∞)

So it is A. all real numbers

Hope it helps

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You saved $300 to spend over the summer. You decide to budget $50 to spend each week.

Oduvanchick [21]

Answer:

Part c)

The Slope of the line is: m=-50 and represents the amount of money spent per week.

Part d)

The y-intercept is: c=300 and represents the maximum money we have that can be spend over the weeks (i.e. our maximum budget alowed).

Step-by-step explanation:

To solve this question we shall look at linear equations of the simplest form reading:

$y = mx+c$ Eqn(1).

where:

$y$ : is our dependent variable that changes as a function of x

$x$ : is our independent variable that 'controls' our equation of y

$m$ : is the slope of the line

$c$ : is our y-intercept assuming an $x$ ⇔ $y$ relationship graph.

This means that as $x$ changes so does $y$ as a result.

Given Information:

Here we know that $300 is our Total budget and thus our maximum value (of money) we can spend, so with respect to Eqn (1) here:

$c=300$

The budget of $50 here denotes the slope of the line, thus how much money is spend per week, so with respect to Eqn (1) here:

$m=50$

So finally we have the following linear equation of:

$y= - 50x + 300$ Eqn(2).

Notice here our negative sign on the slope of the line. This is simply because as the weeks pass by, we spend money therefore our original total of $300 will be decreasing by $50 per week.

So with respect to Eqn(2), and different weeks thus various $x$ values we have:

Week 1: $x=1$ we have $y= -50 *1 + 300 = -50 +300 = 250$ dollars.

Week 2: $x=2$ we have $y= -50 *2 + 300 = -100 +300 = 200$ dollars.

Thus having understood the above we can comment on the questions asked as follow:

Part c)

The Slope of the line is: $m=-50$ and represents the amount of money spent per week.

Part d)

The y-intercept is: $c=300$ and represents the maximum money we have that can be spend over the weeks (i.e. our maximum budget alowed).

4 0

3 years ago

kolezko [41]

(-1/3,0)for the x intercept and (0,-2) for the y intercept

6 0

3 years ago

N Solve for x. Solve for x

jolli1 [7]

The sum of the angles of the triangle is 180 degrees, so:

(x + 70) + 76 + 41 = 180

(x + 70) + 117 = 180

x + 70 = 63

x = -7

Hope that helps!

7 0

2 years ago

Use the linear combination method to solve the system of equations. –3x + 8y = 16 3x + 4y = 8 What is the value of x? –1 0 1 2

4vir4ik [10]

Answer:

B. 0

Step-by-step explanation:

Your welcome :)

7 0

3 years ago

Read 2 more answers

Read the following statement: If the sum of two angles is 90°, then the angles are complementary. The hypothesis of the statemen

xeze [42]

Hey there!

It seems your problem is simply trying to rewrite the sentence.

Let's rewrite our sentence, from the phrase after the comma to the phrase before the comma.
Essentially, we are just flipping the sentence structure.

It should be this:
The two angles are complementary if the sum of the two angles are 90 degrees.

Let's take a good look at our answers.

A.) There are two angles.
While this is a true statement, it's a little too vague to understand. We can eliminate this answer choice.

B.) The sum of two angles is 90 degrees.
This is also a true statement, but it doesn't describe what type of angles sum to 90 degrees, so we can eliminate this as well.

C.) The angles are complementary.
This is similar to answer choice A. It's a little too vague for specific understanding. We can eliminate this answer choice.

D.) Angles are complementary if their sum is 90 degrees.
This is an accurate statement, and provides details to support it's claim, also rewriting the original sentences into one properly. This answer choice is correct.

Your answer is D.)

I hope this helps!

8 0

3 years ago