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2 years ago

Determine the slope of the line represented by the equation y + 7 = -9/4(x – 4) . Represent the slope in decimal form.

Mathematics

1 answer:

Andreyy892 years ago

5 0

Answer:

m=-9/4

Step-by-step explanation:

Use the slope-intercept form y = mx+b to find the slope m

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2(x-3) = (x-1) + 7<br><br> Please show your steps!!

andre [41]

Simplify the equation.

First, distribute the 2 in the left side of the equation.
Resulting in: 2x-6 = (x-1) + 7

Second, remove the parentheses form the right side of the equation (there is nothing to distribute there).
Resulting in: x - 1 + 7

Now simplify the right side of the equation by subtracting the 1 from the 7.
Resulting in: x + 6

Our goal is to isolate the x to the left side, and the numerals to the right side.
With that in mind, add the 6 (from the right side) to both sides. This cancels out the 6 on the right side.
Resulting in: 2x = 12

Lastly, in order to fully isolate the variable (x), we divide both sides by 2.
Resulting in: x = 6

Hope this helps.

6 0

3 years ago

Read 2 more answers

The function f(x)=x^2 is graphed on the coordinate grid.

Aleksandr [31]

<h3>Answer:</h3>

graphed below.

<h3>Explanation:</h3>

vertex: (0, 0)

other points:

-2 12

-1 3

0 0

1 3

2 12

7 0

2 years ago

Read 2 more answers

Find the mode for the following distribution.

goldfiish [28.3K]

Answer:

Step-by-step explanation:

mode means most so 24 is written twice and the others only once.

you're welcome if I helped. :/ (not sure if I helped)

7 0

2 years ago

The ratio of Country albums to Jazz albums in a music collection is 2:3. If the music collection has 45 albums, how many Country

Marina86 [1]

2:3. 2+3=5. So 45 divided by 5 equals 9

9x2 ( the ratio number of country music is 2)

So there are 18 country albums in the collection

4 0

3 years ago

Evaluate the expression 34 ÷ (14 − 5) × 2.

algol13

Answer:

$7\frac{5}{9}$

Step-by-step explanation:

Hi there!

We are given this expression:

34÷(14-5)×2

And we want to evaluate it

We'll be using the order of operations

Depending on the country you're in, the acronym can be different, but in the US, the typical acronym used for the order of operations is PEMDAS, or Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

The order of operations states that we should start with any expressions in parentheses

In this case, it's (14-5), which is equal to 9

The expression now becomes

34÷9×2

There are no exponents, so let's skip that

Now this is where it gets tricky:

Based on the acronym alone, we should be doing 9*2 next, however, we should always work left to right, even if in a case like this, we'll be doing division instead of multiplication

Divide 34 by 9

$\frac{34}{9}$ ×2

Now multiply $\frac{34}{9}$ by 2

$\frac{68}{9}$

(as a mixed fraction, it's 7 $\frac{5}{9}$ )

Hope this helps!

4 0

2 years ago