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4 years ago

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Mathematics

1 answer:

timofeeve [1]4 years ago

5 0

Answer:

Step-by-step explanation:

6b + 7 + 4b - 1 =

10b + 6 <===

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The solution of two linear equations is (-2,2). One equations has a slope of 3. The slope of the other equation is the negative

sineoko [7]

Answer:

Its true ⇒ answer (a)

Step-by-step explanation:

* The solution of two linear equation means that this solution

is a solution for each equation

* To check if the point is a solution of an equation

- Substitute its coordinates in the equation, if the left hand side

is equal the right hand side, then the point is a solution

of this equation

* Lets study our problem

- (-2 2) is the solution of two linear equations

- The slope of one equation is 3

- The slope of the second equation is the negative reciprocal

of the slope of the first, means = -1/3

* Check the this conditions in the given equations

- In the equation y = 3x + 8 ⇒ the slope = 3

- In the equation y = -1/3 x + 4/3 ⇒ the slope = -1/3

* Now lets substitute the solution (-2 , 2) in the both equations

- First equation

∵ y = 2 ⇒ L.H.S

∵ 3(-2) + 8 = 2 ⇒ R.H.S

∵ L.H.S = R.H.S

∴ (-2 , 2) is a solution of the equation y = 3x + 8

- Second equation

∵ y = 2 ⇒ L.H.S

∵ (-1/3)(-2) + 4/3 = 2/3 + 4/3 = 6/3 = 2 ⇒ R.H.S

∵ L.H.S = R.H.S

∴ (-2 , 2) is a solution of the equation y = -1/3 x + 4/3

∴ (-2 , 2) is the solution of the two equations

* Its true

5 0

3 years ago

Read 2 more answers

100 Points | Giving Brainliest to correct answer | Reporting false answers |

soldier1979 [14.2K]

Answer:

1.12/30 which is equals to 2/5

2.9 more students

3.171*1.50 =$25.65

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Furkat [3]

Answer:

There are as many definitions of empire as there have been empires, but some pretty familiar elements appear in most of them. It starts with working on our “control issues”.

3 0

3 years ago

Solve for x, 12y+6=6(y+1)

Vanyuwa [196]

For this case we must solve the following equation:

$12y + 6 = 6 (y + 1)$

We apply distributive property on the right side of the equation:

$12y + 6 = 6y + 6$

We subtract 6y on both sides of the equation:

$12y-6y + 6 = 6\\6y + 6 = 6$

We subtract 6 from both sides of the equation:

$6y = 6-6\\6y = 0$

Dividing by 6 on both sides of the equation:

$y = 0$

So, the result is $y = 0$

Answer:

$y = 0$

4 0

3 years ago

A wildlife preserve features a crocodile with a documented age of 24 years, believed to be one of the oldest crocodiles in capti

zysi [14]

Answer:

0.0104

Step-by-step explanation:

Given that, the lifespans of crocodiles have an approximately Normal distribution, with a mean of 18 years and a standard deviation of 2.6 years.

So, mean, $\mu=18$

and standard deviation, $\sigma=2.6$

The z-score, for any arbitrary life span of x year, is given by

$z=\frac{x-\mu}{\sigma}$

By using the given values, we have

$z=\frac{x-18}{2.6} \cdots(i)$

The z-score for x=24, by using equation (i), is

$z=\frac{24-18}{2.6}=\frac{6}{2.6}=2.31$

From the table, the area to the left side of z=2.31 =0.98956

But, the proportion of crocodiles have lifespans of at least 24 years

= Area to the right side of the z=2.31

=1- (Area to the left side of the z=2.31)

=1-0.98956

=0.01044

So, the proportion of crocodiles that have lifespans of at least 24 years is 0.0104.

Hence, option (a) is correct.

5 0

3 years ago

Read 2 more answers