Can anyone show me the steps and answer?

Answers

Answer 1

Answer:

Answer:

(-∞, 3) ∪ (3, 4) ∪ (4, ∞)

Step-by-step explanation:

Steps:

1. Read and understand the question. Here, you're being asked for the domain of a rational function, one with a 2nd-degree polynomial in the denominator. The domain is the set of x-values for which the function is defined.

2. Understand that the function will be undefined when the denominator is zero, so to answer the question, you must find the values of x that make the denominator zero.

3. Use any of the methods you have been taught to determine the zeros of the denominator polynomial. For this one, it is convenient to factor it:

x² -7x +12 = (x -3)(x -4)

The values of x that make this zero are 3 and 4, so these values are excluded from the domain.

4. Write an expression in interval notation that includes all real numbers except 3 and 4. That is, you want to translate this to interval notation:

(-∞ < x < 3) ∪ (3 < x < 4) ∪ (4 < x < ∞)

Using what you know about interval notation, you write it as ...

(-∞, 3) ∪ (3, 4) ∪ (4, ∞)

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The difference of six times a number and seven results in 35.Identify the steps necessary to solve the equation.

Add 7, and then divide by 6.
Divide by 6, and then add 7.
Subtract 7, and then divide by 6.
Divide by 6, and then subtract 7.

Answers

6x - 7 = 35
6x = 35 + 7
x= 42/6
x = 7

A. Add 7 then divide by 6

A vendor sells hot dogs and bags of potato chips. A customer buys 5 hotdogs and 2 bags of potato chips for $11.50. Another customer buys 3 hotdogs and 5 bags of potato chips for $9.75. Find the cost of each items.

Answers

Answer:

Hotdogs cost $2 and potato crisps $0.75.

Step-by-step explanation:

Let the hotdogs cost $h and the crisps $p

5h + 2p = 11.5

3h + 5p = 9.75

Multiply the first equation by -5 and the second by 2:

-25h - 10p = -57.5

6h + 10p = 19.5 Adding these 2 equations:

-19h = -38

h = $2.

Substitute h = 2 into the first equation:

5h + 2p = 11.5

10 + 2p = 11.5

2p = 1.5

p = $0.75.

How do I determine the radius of x^2+y^2=25 ?

Answers

Circles!!!

The general formula is:
x^2 + y^2 = r^2
where x and y form the circle while r is the radius.

You already have the problem set up in its general form and you don't want the radius squared... so square root everything.

If you do that then you'll get:
x + y = 5
where 5 is the radius and NOT the radius squared. If you have questions then leave a comment. Good luck!

I will mark you brainliest for the right answer and you must HURRY to get it! 15 points!

Answers

A triangles three angles always sum up to 180 degrees. We must find angle B.

We already have angle A and C, so it's quite simple.

Angle A is 28*, and angle C is 36*

We add these two together

28 + 36 = 64

Now we subtract

180 - 64 = 116

Angle B = 116*

Hope this helps you! (:

-Hamilton1757

Trig please helpLaw of Sines and the Ambiguous Case.

In ∆ ABC, a =32, b = 44, and m < A = 68*
How many distinct triangles can be drawn given these measurements?