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3 years ago

I don't not understand substation for this problem y=x+6 then y=2x-7

Mathematics

1 answer:

dezoksy [38]3 years ago

3 0

$y=x+6\\
y=2x-7\\\\
x+6=2x-7\\
2x-x=6+7\\
x=13\\\\
y=13+6\\
y=18\\\\
\boxed{(x,y)=(13,18)}$

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3. A cone has a heighth and a base with radius r. You want to change the cone so its volume is tripled. What is the new height i

Sphinxa [80]

Answer:

Hence the new height is 3 times the original height .(h1=3h)

Step-by-step explanation:

Given:

A cone with has height and base with radius r .

To Find:

What is new height

Solution:

Consider as cone with height h base radius r, and volume v

Here given that only height changes for the cone i.e. r remains the unchanged or same or constant

The volume for a regular cone is given by ,

$V=pie*r^2*h/3$

Here V is directly proportional to h i.ee pie ,3 and r being constant

$V=K*h$

i.e V/h=constant

V1 and h1 are new dimensions for new cone

V/h=V1/h1

Here V1=3V

So V/h=3V/h1

1/h=3/h1

i.e h1=3h

Hence the height is 3 times the original height .

4 0

3 years ago

One of the factors of 4x^2-9 is<br> (1)x+3<br> (2)2x+3<br> (3)4x-3<br> (4)x-3

slava [35]

Answer:

$2x+3$

Step-by-step explanation:

$4x^2-9=(2x)^2 -3^2=(2x-3)(2x+3)$

8 0

2 years ago

Read 2 more answers

What is the arc length S what is shown below?

Solnce55 [7]

Answer:

14 cm

Step-by-step explanation:

The applicable formula is ...

s = rθ

s = (7 cm)(2) = 14 cm

3 0

3 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

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2 years ago

you eat 3/10 of a coconut your friend eats 1/5 of the coconut what fraction of the coconut do you have and your friend eat write

Bas_tet [7]

Answer:

I eat 3/10 of the coconut and my friend eats 1/5 which is 2/10.

We both eat 3/10 + 2/10 which is 1/2 of the coconut.

7 0

3 years ago