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2 years ago

PLEASE HELP ASAP!!!!

Mathematics

1 answer:

DanielleElmas [232]2 years ago

7 0

Answer:

5-a) The perimeter of the rectangle = 2(2x + 4x + 1,5) = 12x + 3

Step-by-step explanation:

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Some of the steps in the derivation of the quadratic formula are shown. Step 4: StartFraction negative 4 a c + b squared Over 4

s344n2d4d5 [400]

The reason why we used plus or minus when taking the square root is because; The square root of terms separated by addition and subtraction cannot be calculated individually.

<h3>How to use the quadratic formula?</h3>

The general formula for a quadratic equation is;

ax² + bx + c = 0

Now, the steps to derive quadratic formula to find the roots of this equation are as follows;

Step 1; Divide both sides of the equation by a to get;

x² + (b/a)x + c/a = 0

Step 2; Transpose the quantity c/a to the right side of the equation to get; x² + (b/a)x = -c/a

Step 3; Complete the square by adding b²/4a² to both sides of the equation to get; x² + (b/a)x + b²/4a² = -c/a + b²/4a²

Step 4; Factor the left side and combine the right side to get;

(x + (b/2a))² = (b² - 4ac)/(4a²)

Step 5: Extract the square-root of both sides of the equation to get;

x + (b/2a) = ±(√(b² - 4ac))/2a

The reason why we used plus or minus when taking the square root is because The square root of terms separated by addition and subtraction cannot be calculated individually.

Read more about Quadratic Formula at; brainly.com/question/8649555

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4 0

2 years ago

A leakage test was conducted to determine the effectiveness of a seal designed to keep the inside of a plug airtight. An air nee

Korolek [52]

Answer:

$\bar X = \frac{3.1+3.5+3.3+3.7+4.5+4.2+2.8+3.9+3.5+3.3}{10}= 3.58$

And the sample deviation with the following formula:

$s= \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And replacing we got:

$s = 0.512$

And then the answer is :

$\bar X= 3.58, \sigma = 0.512$

Step-by-step explanation:

For this case we have the following data given:

3.1 3.5 3.3 3.7 4.5 4.2 2.8 3.9 3.5 3.3

The sample mean can be calculated with this formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And replacing we got:

$\bar X = \frac{3.1+3.5+3.3+3.7+4.5+4.2+2.8+3.9+3.5+3.3}{10}= 3.58$

And the sample deviation with the following formula:

$s= \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And replacing we got:

$s = 0.512$

And then the answer is :

$\bar X= 3.58, \sigma = 0.512$

5 0

3 years ago

Determine what type of model best fits the given situation: an internet phone company presently provides service to 5,000 custom

NikAS [45]

The expression $$-500 \times 18+15000=-9000+15000=6000$ which best fit exists in the Linear model.

<h3>How to estimate the linear model?</h3>

Given: Monthly Rate = $20

Number of customers = 5000

If there exists a decrease of $1 in the monthly rate, the number of customers increases by 500.

Let us decrease the monthly rate by $1.

Monthly Rate = $20 - $1 = $19

Number of customers = 5000 + 500 = 5500

Let us decrease the monthly rate by $1 more.

Monthly Rate = $19 - $1 = $18

Number of customers = 5500 + 500 = 6000

Linear change in the number of customers whenever there exists a decrease in the monthly rate.

We have 2 pairs of values here,

x = 20, y = 5000

x = 19, y = 5500

The equation in slope-intercept form: y = mx + c

The slope of a function: $$&m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\$

$$&m=\frac{5500-5000}{19-20} \\$

$$&\Rightarrow-500$

So, the equation is y = -500x + c

Putting x = 20, y = 5000:

$$&5000=-500 \times 20+c \\$

$$&\Rightarrow c=5000+10000=15000 \\$

$$&\Rightarrow \mathbf{y}=-500 \mathbf{x}+15000$

Whether (18,6000) satisfies it.

Putting x = 18

$$-500 \times 18+15000=-9000+15000=6000$

Therefore, the expression $$-500 \times 18+15000=-9000+15000=6000$ which best fits exist Linear model.

To learn more about the linear model refer to:

brainly.com/question/6110794

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4 0

1 year ago

Point

ololo11 [35]

Your question is poorly formatted; However, the correct question is:

Point A ( 3 , 4 ) and point M (5.5,0) is the midpoint of point A and point B. Determine the coordinates of B

Answer:

The coordinates of B is (8,-4)

Step-by-step explanation:

Given

Point A ( 3 , 4 )

Point M (5.5,0)

Required

Determine B

Since, M is the midpoint;

<em>We'll solve this question using the following formula;</em>

$M(x,y) = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$

Where $(x,y) = (5.5,0)$ and $(x_1,y_1) = (3,4)$

Substitute values for x, y, x1 and y1 in the above formula;

This gives

$(5.5,0) = (\frac{3 + x_2}{2},\frac{4 + y_2}{2})$

By direct comparison, we have

$5.5 = \frac{3 + x_2}{2}$ and $0 = \frac{4 + y_2}{2}$

Solving $5.5 = \frac{3 + x_2}{2}$

Multiply both sides by 2

$11 = 3 +x_2$

Subtract 3 from both sides

$11- 3 = x_2$

$x_2 = 8$

Solving $0 = \frac{4 + y_2}{2}$

Multiply both sides by 2

$0 = 4 + y_2$

Subtract 4 from both sides

$0 - 4 = y_2$

$y_2 = -4$

Hence;

<em>The coordinates of B is (8,-4)</em>

3 0

3 years ago

HELP!

Elden [556K]

Answer:

(-7)+(-2)

Step-by-step explanation:

Which other expression has the same value as (-7) – 2?

The expression given :

(-7) – 2 = - 7 - 2 = - 9

To obtain our answer, we find the result of the expressions given in the option :

(-7)+2 = - 7 + 2 = - 5

7- (-2) = 7 - - 2 = 7 + 2 = 9

7+(-2) = 7 - 2 = 5

(-7)+(-2) = - 7 + - 2 = - 7 - 2 = - 9

Only option D gives the same result as the result of the expression given ; hence, our answer is option D

3 0

2 years ago