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3 years ago

Jeremy wants to determine the number of solutions for the equation below without actually solving the equation.

Mathematics

2 answers:

Degger [83]3 years ago

8 0

Answer:

1 solution

Step-by-step explanation:

Jeremy can simplify the equation enough to determine if the x-coefficient on one side of the equation is the same or different from the x-coefficient on the other side. Here, that simplification is ...

-3x -3 +3x = -3x +3 +3

We see that the x-coefficient on the left is 0; on the right, it is -3. These values are different, so there is one solution.

In the attached, the left-side expression is called y1; the right-side expression is called y2. The two expressions are equal where the lines they represent intersect. That point of intersection is x=3. (For that value of x, both sides of the equation have a value of -3.)

<em>Additional comment</em>

If the equation's x-coefficients were the same, we'd have to look at the constants. If they're the same, there are an infinite number of solutions. If they are different, there are no solutions.

AysviL [449]3 years ago

6 0

Answer:

there is only one solution

Step-by-step explanation:

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In circle C, r = 32 units.

lawyer [7]

Answer:

the area of a circle is $\pi$ rsqr

32 x 32 =1024 $\pi$

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

What is the extraneous solution?

8_murik_8 [283]

<h3>Answer:</h3>

x = 1

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

<em>The only solution is an extraneous solution</em>, which is to say the equation has no solution.

The rational expression reduces to -1 (for x≠1), which makes the equation ...

1 = 1/x

The only solution to this is x=1, which is specifically disallowed.

___

If you subtract the right side, the equation becomes ...

((-x+1)(x) +2(x)(x -1) -(x -1))/(x -1) = 0

(-x^2 +x +2x^2 -2x -x +1)/(x -1) = 0 . . . . eliminate parentheses in the numerator

(x^2 -2x +1)/(x -1) = 0 . . . . . . . . . . . . . . . collect terms

(x -1)^2/(x -1) = 0 . . . . . . . . . . . . . . . . . . . factor

This is undefined for the only value of x that could possibly be a solution, x=1.

8 0

3 years ago

A movie theater just opened 2 new theaters. One theater has 15 seats in each row. The second theater has 20 seats in each row. B

Lana71 [14]

15, 30, 45, 60, 75, 90, 105, 120, 135, 150
20, 40, 60, 80, 100, 120, 140, 160, 180, 200

Smallest number would be 60 because it’s the least common number in both theaters.

Let me know if I’m right,

-Hoodie

7 0

3 years ago

A line passes through the points (-3,-4) and (6,2)

Zanzabum

Answer: x - int : (3,0)

Step-by-step explanation:

point-slope form: y - y1 = m(x - x1)

m = y2-y1/x2-x1

= -4-2/-3-6

=-6/-9

= 2/3

y1 = 2

x1 =6

y - 2 = 2/3(x-6)

x -int: when y = 0, what is x?

0-2 = 2/3(x-6)

-2 = 2/3x - 4

2 = 2/3x

x=3

~Hope this helps!~

5 0

2 years ago

How do you evaluate sin(13π/12)?

Alekssandra [29.7K]

13pi/12 lies between pi and 2pi, which means sin(13pi/12) < 0

Recall the double angle identity,

sin^2(x) = (1 - cos(2x))/2

If we let x = 13pi/12, then

sin(13pi/12) = - sqrt[(1 - cos(13pi/6))/2]

where we took the negative square root because we expect a negative value.

Now, because cosine has a period of 2pi, we have

cos(13pi/6) = cos(2pi + pi/6) = cos(pi/6) = sqrt[3]/2

Then

sin(13pi/12) = - sqrt[(1 - sqrt[3]/2)/2]

sin(13pi/12) = - sqrt[2 - sqrt[3]]/2

7 0

3 years ago