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Masja [62]
3 years ago
11

Solve the formula for the indicated variable- S = L(1-r), for r

Mathematics
1 answer:
Mila [183]3 years ago
3 0

Answer:

r=-\frac{S}{L} +1

Step-by-step explanation:

You would want to isolate the r by itself by doing all the opposite operations.

First, you can divide the L to get

1-r =\frac{S}{L}

Next, move the 1 to the other side to get

-r=\frac{S}{L} -1

Then, we would not want to keep the negative so, move it to the other side to get

r= -\frac{S}{L} +1

(Note the 1 changed to a positive because we move the negative to the other side so, negative or negative 1 will be positive.

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What are the steps to solve for: 1/5(x+5)=1/4(x-3)+1
andrew11 [14]
Step 1. Simplify \frac{1}{5} (x+5) to \frac{x+5}{5}

\frac{x+5}{5} = \frac{1}{4} (x-3)+1

Step 2. Simplify \frac{x+5}{5} to 1+ \frac{x}{5}

1+ \frac{x}{5} = \frac{1}{4} (x-3)+1

Step 3. Simplify \frac{1}{4} (x-3) to \frac{x-3}{4}

1+ \frac{x}{5} = \frac{x-3}{4} +1

Step 4. Cancel 1 on both sides

\frac{x}{5} = \frac{x-3}{4}

Step 5. Multiply both sides by 20 (the LCM of 5,4)

4x=5(x-3)

Step 6. Expand

4x=5x-15

Step 7. Subtract 5x from both sides

4x-5x=-15

Step 8. Simplify 4x-5x to -x

-x=-15

Step 9. Multiply both sides by -1

x=15

Done! :) Hope this helps! :)








3 0
3 years ago
What is the y-value of the vertex of the function f(x)=−(x−3)(x+11)? −8 −4 33 49
alisha [4.7K]

Answer:

y - value of the vertex is 49.

Step-by-step explanation:

Given function is f(x) = -(x - 3)(x + 11)

f(x) = -(x² - 3x + 11x - 33)

     = -(x² + 8x - 33)

     = -(x² + 8x + 16 - 49)

     = -[(x + 4)² - 49]

     = -(x + 4)² + 49

Comparing this equation with the vertex form of a quadratic function,

f(x) = -(x - h)² + k

Where (h, k) is the vertex of the function.

Vertex of the parabola is (-4, 49)

Therefore, y-value of the vertex is 49.

4 0
3 years ago
Read 2 more answers
The ruby throated hummingbird has a wingbeat of about 200 beats per second about how many wing Beats would a hummingbird have in
Nady [450]
36,000 wing beats

60 sec= 1 minute 60*3=180sec/3minutes

180*200=36,000

4 0
4 years ago
Devaughn is 6 years younger than Sydney. The sum of their ages is 50 . What is Sydney's age?
dedylja [7]
Sydney is 44 years old.
50-6=44
Hope i helped.

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7 0
4 years ago
Simplify 3/5+(-1/4) 7/10
Vadim26 [7]

Answer:

17/40

Step-by-step explanation:

8 0
3 years ago
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