All categories

2 years ago

What is the answer / product of 8x2

Mathematics

1 answer:

Mademuasel [1]2 years ago

3 0

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2" was replaced by "x^2".

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

8*x^2-(8)=0

Step by step solution :

STEP

Equation at the end of step 1

23x2 - 8 = 0

STEP

Pulling out like terms

3.1 Pull out like factors :

8x2 - 8 = 8 • (x2 - 1)

Trying to factor as a Difference of Squares:

3.2 Factoring: x2 - 1

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 1 is the square of 1

Check : x2 is the square of x1

Factorization is : (x + 1) • (x - 1)

Equation at the end of step

8 • (x + 1) • (x - 1) = 0

STEP

Theory - Roots of a product

4.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Equations which are never true:

4.2 Solve : 8 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

4.3 Solve : x+1 = 0

Subtract 1 from both sides of the equation :

x = -1

Solving a Single Variable Equation:

4.4 Solve : x-1 = 0

Add 1 to both sides of the equation :

x = 1

Two solutions were found :

x = 1

x = -1

You might be interested in

Find the equation of the line passing through the point (1,−5) and perpendicular to y=18x+2

sleet_krkn [62]

Step-by-step explanation:

m1.m2 = -1

18.m2 = -1

m2 = -1/18

formula = y - y1 = m2 ( x - x1)

y - (-5) = -1/18 ( x -1)

y + 5= -1x/18 +1/18

y = -1x/18 -89/18

5 0

3 years ago

6.3.6. Among the early attempts to revisit the death postponement theory introduced in Case Study 6.3.2 was an examination of th

kakasveta [241]

Answer:

So the Null hypothesis is rejected in this case

Step-by-step explanation:

The number of celebrities is n = 348

So to solve this we would assume that p is the percentage of people that died on the month preceding their birth month

Generally if there is no death postponement then p will be mathematically evaluated as

$p = \frac{1}{12}$

This implies the probability of date in one month out of the 12 months

Now from the question we can deduce that the hypothesis we are going to be testing is

$Null Hypothesis \ \ H_0 : p = 0.083$

This is a hypothesis is stating that a celebrity dies in the month preceding their birth

$Alternative \ Hypothesis H_1 : p < 0.083$

This is a hypothesis is stating that a celebrity does not die in the month preceding their birth

is c is the represent probability for each celebrity which either c = 0 or c = 1

Where c = 0 is that the probability that the celebrity does not die on the month preceding his/ her birth month

and c = 1 is that the probability that the celebrity dies on the month preceding his/ her birth month

Then it implies that

for

n= 1 + 2 + 3 + .... + 348 celebrities

Then the sum of c for each celebrity would be $c_s = 16$

i.e The number of celebrities that died in the month preceding their birth month

We are told that the significance level is $\alpha = 0.05$ , the the z value of $\alpha$ is

$z_{\alpha } = 1.65$

This is obtained from the z-table

Since this test is carried out on the left side of the area under the normal curve then the critical value will be

$z_{\alpha } = - 1.65$

So what this implies is that $H_o$ will be rejected if

$z \le -1.65$

Here z is the test statistics

Now z is mathematically evaluated as follows

$z = \frac{c - np}{\sqrt{np_o(1- p_o)} }$

$z = \frac{16 - (348 *0.083)}{\sqrt{348*0.083 (1- 0.083)} }$

$z =-2.50$

From our calculation we see that the value of z is less than $-1.65$ so the Null hypothesis will be rejected

Hence this tell us that the evidence provided is not enough to conclude that 16 celebrities died a month to their birth month

8 0

2 years ago

Round 2.349 to the hundredths place.

slava [35]

Answer: 2.35

Step-by-step explanation:

Tenths is first place after decimal, Hundredth is 2nd place after decimal.

Look towards next place (thousandths place)

Greater than 5? Round up

7 0

3 years ago

Read 2 more answers

Which of the following is the product of the rational expression 1/x+2 × x/x-2

pav-90 [236]

Answer:

the answer of your question

$\frac{1}{x + 2} \times \frac{x}{x - 2} = \frac{x}{x ^{2} - 4}$

6 0

3 years ago

The speed limit sign on the freeway said 110 kilometers per hour, but the speedometer on Cesar's car is calibrated in miles per

Lisa [10]

Answer:

68.2 miles per hour

Step-by-step explanation:

Speed limit = 110 kilometers per hour

1 kilometer = 0.62 miles

110 kilometers = x miles

Cross product

1*x = 0.62*110

x = 68.2 miles

Cesar should drive at 68.2 miles per hour to avoid a speeding ticket

110 kilometers per hour = 68.2 miles per hour

6 0

2 years ago