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Verdich [7]
4 years ago
9

Substitution method y= 3x +6. x= 3y +6​

Mathematics
1 answer:
GarryVolchara [31]4 years ago
3 0

Answer:

x=-3, y=-3

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

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Find the volume make it an improper fraction then a mixed number please do a step by step explanation and I will give you brainl
Andrews [41]

Answer:

8463/32=264 15/32

Step-by-step explanation:

Let's make every fraction improper first.

7 3/4=31/4

5 2/8=42/8

6 1/2=13/2

Simplify 42/8

42/8=21/4

21/4

31/4

13/2=26/4

21/14*31/4*26/4=(21*31*26)/64=16926/64=8463/32

3 0
2 years ago
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th
irga5000 [103]

Answer:

The rocket hits the ground at a time of 11.59 seconds.

Step-by-step explanation:

The height of the rocket, after x seconds, is given by the following equation:

y = -16x^2 + 177x + 98

It hits the ground when y = 0, so we have to find x for which y = 0, which is a quadratic equation.

Finding the roots of a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

In this question:

y = -16x^2 + 177x + 98

-16x^2 + 177x + 98 = 0

So

a = -16, b = 177, c = 98

\bigtriangleup = 177^{2} - 4(-16)(98) = 37601

x_{1} = \frac{-177 + \sqrt{37601}}{2*(-16)} = -0.53

x_{2} = \frac{-177 - \sqrt{37601}}{2*(-16)} = 11.59

Since time is a positive measure, the rocket hits the ground at a time of 11.59 seconds.

4 0
3 years ago
An analysis of the decay of 10 grams of an unstable element over time was completed and is displayed in the computer output.
Lady bird [3.3K]

The equation of the least-squared regression line is: In(Element) = 2.305 - 0.101(Time).

<h3>What is a regression line?</h3>

A regression line displays the connection between scattered data points in any set. It shows the relation between the dependent y variable and independent x variables when there is a linear pattern.

According to the given problem,

From the table we can see,

ln(Element) is the dependent variable and Time is the independent variable.

The constant = 2.305,

Time = -0.101

Hence, we can conclude, our least squared regression line will be

In (Element) = 2.305 - 0.101 (Time).

Learn more about regression line here: brainly.com/question/7656407

#SPJ2

6 0
2 years ago
37/2<br> How do you get the answer?
Andrei [34K]

Answer:

18.5

Step-by-step explanation:

You have to divide. If you leave it as a fraction, you won't be able to simplify. You can check my answer by multiplying 18.5 * 2

6 0
4 years ago
Read 2 more answers
Which expression is a representation of the following:
Brums [2.3K]
The correct expression is A.
4 0
3 years ago
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