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JulijaS [17]
3 years ago
12

Riley makes a mistake in step 2 while doing her homework. What is the mistake?

Mathematics
2 answers:
gtnhenbr [62]3 years ago
8 0

We have been given work of Riley. By looking at his work carefully, we have to identify the error. So let's start from beginning.

\frac{x}{x^2-5x+6}+ \frac{3}{x+3}

First line is just the question so there will be no error.

After that we try to factor denominators

STEP1: \frac{x}{(x-2)(x-3)}+ \frac{3}{x+3}

Factors are correct so no error in step1.

In step2, we have to find the common denominator which will be (x-2)(x-3)(x+3)

so that means she needs to multiply and divide 2nd term by (x-2)(x-3) while she multiplied by only (x-2). Which means she used wrong common denominator.

<u>Hence final answer will be "B. She used the wrong common denominator."</u>

Paul [167]3 years ago
5 0

Answer:

B

Step-by-step explanation:

Just did it

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Solve the following logarithmic equations.<br> log[(x^2 + 2x − 3)^4] = 0
saw5 [17]

Answer:

The solutions are x = 1.24 and x = -3.24

Step-by-step explanation:

Hi there!

First, let´s write the equation:

log[(x² + 2x -3)⁴] = 0

Apply the logarithm property: log(xᵃ) = a log(x)

4 log[(x² + 2x -3)⁴] = 0

Divide by 4 both sides

log(x² + 2x -3) = 0

if log(x² + 2x -3) = 0, then  x² + 2x -3 = 1 because only log 1 = 0

x² + 2x -3 = 1

Subtract 1 at both sides of the equation

x² + 2x -4 = 0

Using the quadratic formula let´s solve this quadratic equation:

a = 1

b = 2

c = -4

x = [-b± √(b² - 4ac)]/2a

x =  [-2 + √(4 - 4(-4)·1)]/2 = 1.24

and

x = [-2 - √(4 - 4(-4)·1)]/2 = -3.24

The solutions are x = 1.24 and x = -3.24

Have a nice day!

4 0
3 years ago
What is the distance between two points with coordinates (32,12,5) and (20,3,13) in space?​
lozanna [386]

The distance between two points with the given coordinates in space is;

<u><em>Distance = 17 units</em></u>

We are given the coordinates;

(32, 12, 5)

(20, 3, 13)

  • Formula for the distance between two points that have (x, y, z) coordinates is;

d = √((x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²)

From the equation given to us, we can see that;

x₁ = 32

x₂ = 20

y₁ = 12

y₂ = 3

z₁ = 5

z₂ = 13

  • Using the <em>formula for the distance</em>, we have;

d = √((20 - 32)² + (3 - 12)² + (13 - 5)²)

d = √(144 + 81 + 64)

d = √289

d = 17

Thus, the <em>distance</em> between the two points is 17 units

Read more at; brainly.com/question/20974053

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Step-by-step explanation:

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Read 2 more answers
Use The Scale Factor 1:12 To Find The Missing Dimension
adell [148]

Answer:

The length of the model is 21 inches

Step-by-step explanation:

we have

The scale factor

\frac{1}{12}

That means

1 unit in the model represent 12 units in the actual

1 inch in the model represent 12 inches in the actual

Remember that

1\ ft=12\ in

so

1 inch in the model represent 1 ft in the actual

The scale factor is

\frac{1}{1}\ \frac{in}{ft}

therefore

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Olivia is making hot sauce. Her recipe calls for five red jalapeño peppers. If she only wants to make 60 percent of the recipe,
AleksandrR [38]
The answer is three peppers.
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