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3 years ago

What is this 8x+17=2x+35

1 answer:

7 0

Solve for x:
8 x + 17 = 2 x + 35
Subtract 2 x from both sides:
(8 x - 2 x) + 17 = (2 x - 2 x) + 35
8 x - 2 x = 6 x:
6 x + 17 = (2 x - 2 x) + 35
2 x - 2 x = 0:
6 x + 17 = 35
Subtract 17 from both sides:
6 x + (17 - 17) = 35 - 17
17 - 17 = 0:
6 x = 35 - 17
35 - 17 = 18:
6 x = 18
Divide both sides of 6 x = 18 by 6:
(6 x)/6 = 18/6
6/6 = 1:
x = 18/6
The gcd of 18 and 6 is 6, so 18/6 = (6×3)/(6×1) = 6/6×3 = 3:
Answer: x = 3

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2 years ago

Complete the table<br> Original Price:?<br> Percent of Discount: 25%<br> Sale Price: $40

BigorU [14]

Answer:

<u><em>The original price would be 50$.</em></u>

Step-by-step explanation:

To find this answer you have to divide 25% by 100, which equals 0.25. Now multiply 0.25 by 40 and you get 10$. Since 10$ was the discount, you just add 10$ + 40$, therefore 50$ is the original price.

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2 years ago

What is the directrix of the parabola defined by `(1)/(4)(y + 3) = (x − 2)^2`?

Sauron [17]

The directrix of the parabola is $y = \frac {-49}{16}$

<h3>How to determine the equation of the directrix?</h3>

The parabola equation is given as:

$\frac 14(y + 3) = (x -2)^2$

A parabola is represented as:

$4p(y - k) =(x -h)^2$

By comparing both equations, we have:

4p = 1/4 ==> p = 1/16

-k= 3 ==> k = -3

The directrix is represented as:

y = k - p

So, we have:

$y = -3 - \frac 1{16}$

Take the LCM

$y = \frac {-16 * 3- 1}{16}$

Evaluate

$y = \frac {-49}{16}$

Hence, the directrix of the parabola is $y = \frac {-49}{16}$

Read more about parabola at:

brainly.com/question/1480401

#SPJ1

4 0

1 year ago

A manufacturer finds that the revenue generated by selling x units of a certain commodity is given by the function R(x) = 60x −

bonufazy [111]

R(x) = 60x - 0.2x^2

The revenue is maximum when the derivative of R(x) = 0.
dR(x)/dx = 60 - 0.4x = 0
0.4x = 60
x = 60/0.4 = 150

Therefore, maximum revenue is 60(150) - 0.2(150)^2 = 9000 - 4500 = $4,500
Maximum revenue is $4,500 and the number of units is 150 units

7 0

2 years ago

Read 2 more answers

Robert buys a new pair of boots for 120 dollars. Sales tax is

Margarita [4]

Answer: $133.20

Step-by-step explanation: To simply find the sales tax all you have to do is:

Step 1 Multiply: 120 x .11 = 13.2

Step 2 Add: 120 + 13.2 = 132.2

So Robert actually has to pay $133.20

7 0

2 years ago