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3 years ago

Solve (x + 1)(x – 5) = 0

Mathematics

2 answers:

tiny-mole [99]3 years ago

4 0

Answer:

x = - 1, x = 5

Step-by-step explanation:

Given

(x + 1)(x - 5) = 0

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x - 5 = 0 ⇒ x = 5

madam [21]3 years ago

3 0

Answer:

Step-by-step explanation:

x+1*x-5=0

Since we know the answer to the equation is 0, that means that it doesn't matter if we multiply x, add to it, or subtract from it, it will all eventually become 0.

So:

X=0

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bagirrra123 [75]

What are you asking here? I need more information to solve please

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3 years ago

1) Lithium isotope rations are important to medicine, the 6Li/7Li ratio in a standard reference material was measured several ti

uysha [10]

Answer:

1) $0.0826052-2.776\frac{0.000013424}{\sqrt{5}}=0.082588$

$0.0826052+2.776\frac{0.000013424}{\sqrt{5}}=0.0826219$

b) $ME= 2.776\frac{0.000013424}{\sqrt{5}}=0.0000166653$

And we want 2/3 of the margin of error so then would be: $2/3 ME = 0.00001111$

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

And on this case we have that ME =0.00001111016 and we are interested in order to find the value of n, if we solve n from equation (1) we got:

$n=(\frac{z_{\alpha/2} s}{ME})^2$ (2)

Replacing we got:

$n=(\frac{2.776(0.000013424)}{0.00001111})^2 =11.25 \approx 12$

So the answer for this case would be n=12 rounded up to the nearest integer

Step-by-step explanation:

Information given

0.082601, 0.082621, 0.082589, 0.082617, 0.082598

We can calculate the sample mean and deviation with the following formulas:

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

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

$\bar X=0.0826052$ represent the sample mean

$\mu$ population mean

s=0.000013424 represent the sample standard deviation

n=5 represent the sample size

Part 1

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The degrees of freedom, given by:

$df=n-1=5-1=4$

The Confidence level is 0.95 or 95%, and the significance would be $\alpha=0.05$ and $\alpha/2 =0.025$ , the critical value would be using the t distribution with 4 degrees of freedom: $t_{\alpha/2}=2.776$

Now we have everything in order to replace into formula (1):

$0.0826052-2.776\frac{0.000013424}{\sqrt{5}}=0.082588$

$0.0826052+2.776\frac{0.000013424}{\sqrt{5}}=0.0826219$

Part 2

The original margin of error is given by:

$ME= 2.776\frac{0.000013424}{\sqrt{5}}=0.0000166653$

And we want 2/3 of the margin of error so then would be: $2/3 ME = 0.00001111$

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

And on this case we have that ME =0.00001111016 and we are interested in order to find the value of n, if we solve n from equation (1) we got:

$n=(\frac{z_{\alpha/2} s}{ME})^2$ (2)

Replacing we got:

$n=(\frac{2.776(0.000013424)}{0.00001111})^2 =11.25 \approx 12$

So the answer for this case would be n=12 rounded up to the nearest integer

3 0

3 years ago

How can you determine whether a given number makes an equation true?

EastWind [94]

Answer:

By plotting in the number in the equation (aka where all the x’s are variables are) and seeing if it works.

Step-by-step explanation:

For example, let’s use the problem:

3x + 4 = 16

if the given number is 4, we fill it in for x-

3 (4) + 4= 16

solve to see if true:

12 + 4 = 16

16 = 16

hence, the given number 4 makes the equation true!

hopes this helps, have a great day :)

3 0

2 years ago

Write this number in standard form 8×1+5×0.1+0+0.01+6×0.001

Fudgin [204]

Answer:

eight and five sixteen hundredths

Step-by-step explanation:

1) Solve the equation by using PEMDAS (solve in this order:: parenthesis, exponents, multiplication, division, addition, and then subtraction)

2) 8.516

5 0

3 years ago

What is the area of this figure? <br><br> Enter your answer in the box.

ale4655 [162]

Answer:

42 units squared

Step-by-step explanation:

break it up into smaller shapes. if you split the big shape at y = 2 and at y=-2, you'll get two triangles and one rectangle.

so the area of the rectangle = l x w

= 4 x 7

= 28

the area of the triangle is ( l x w )/2

= (7 x 2)/2

= 7

the other triangle is the same too

so the area of that is also 7.

now add all areas,

7+7+28 = 42

8 0

3 years ago

Read 2 more answers