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Nina [5.8K]
3 years ago
13

Simplify 4s + 5 – 3(6 + s) A) s - 13 B) 5s - 13 C) 3s + 18 D) 2s + 13

Mathematics
1 answer:
Anna11 [10]3 years ago
3 0

4s + 5 – 3(6 + s)

distribute

4s +5 -3*6 -3*s

4s +5 -18 -3s

s -13

ChoiceA

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If you explain and answer i will give brainly
CaHeK987 [17]

6x - 5y = 3          x1

3x - 8y = -15    x2

===============

6x - 5y = 3

6x - 16y = -30

============= -

11y = 33

y = 3

6x - 5(3) = 3

6x -15 = 3

6x = 18

x = 3

(3,3)

7 0
2 years ago
Noah has a summer tree-trimming business. Based on experience, Noah knows that his profit, P, in dollars, can be modelled by = −
crimeas [40]

Solving quadratic equations, it is found that he needs to charge:

1. He needs to charge $40 to break even.

2. He needs to charge $30 for a profit of $600.

<h3>What is a quadratic function?</h3>

A quadratic function is given according to the following rule:

y = ax^2 + bx + c

The solutions are:

  • x_1 = \frac{-b + \sqrt{\Delta}}{2a}
  • x_2 = \frac{-b - \sqrt{\Delta}}{2a}

In which:

\Delta = b^2 - 4ac

The profit equation in this problem is:

P(x) = -3x² + 150x - 1200.

He breaks even when P(x) = 0, hence:

-3x² + 150x - 1200 = 0.

The coefficients are a = -3, b = 150, c = -1200, hence:

  • \Delta = 150^2 - 4(-3)(-1200) = 8100
  • x_1 = \frac{-150 + \sqrt{8100}}{-6}
  • x_2 = \frac{-150 - \sqrt{8100}}{-6} = 40

He needs to charge $40 to break even.

For a profit of $600, we have that P(x) = 600, hence:

-3x² + 150x - 1200 = 600.

-3x² + 150x - 1800 = 0.

The coefficients are a = -3, b = 150, c = -1800, hence:

  • \Delta = 150^2 - 4(-3)(-1800) = 900
  • x_1 = \frac{-150 + \sqrt{900}}{-6}
  • x_2 = \frac{-150 - \sqrt{900}}{-6} = 30

He needs to charge $30 for a profit of $600.

More can be learned about quadratic equations at brainly.com/question/24737967

#SPJ1

6 0
2 years ago
What is a rational number?
yuradex [85]

Answer:a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.

8 0
3 years ago
Late work 4 physics
Oliga [24]

Answer:

Step-by-step explanation:

problem 4

Velocity is +2.0m/s and constant acceleration is -0.5m/s^2

For every second the velocity drop by 0.5 m/s, so after 2 seconds the velocity is  1 m/s.

problem 5

Accelerate from rest to 28m/s means go from 0 to 28m/s so with

a constant acceleration of 5.5 m/s^2 it will take 5.09 second

7 0
3 years ago
What affect does "h" have on the parent function y = 1/x ?
pochemuha
If h moves the graph left or right, y= \frac{1}{x+h} (moves left)
y= \frac{1}{x-h} (moves right)

If a vertical stretch by a factor of |h|, then y =  \frac{h}{x}

If h moves the graph up or down, y= \frac{1}{x} +h (moves up)
y= \frac{1}{x} -h (moves down)

y= \frac{1}{-hx} and h = 1
7 0
3 years ago
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