Help please, I don’t know what to do..

Solve for x in the equation x^2+10x+12=36.

Alexandra [31]

Solve for x:
x^2 + 10 x + 12 = 36

36 = 36:
x^2 + 10 x + 12 = 36

Subtract 12 from both sides:
x^2 + 10 x = 24

Add 25 to both sides:
x^2 + 10 x + 25 = 49

Write the left hand side as a square:
(x + 5)^2 = 49

Take the square root of both sides:
x + 5 = 7 or x + 5 = -7

Subtract 5 from both sides:
x = 2 or x + 5 = -7

Subtract 5 from both sides:
Answer: x = 2 or x = -12 Thus the Answer is A.

3 0

3 years ago

Anyone good with algebra 2??

sweet [91]

A discontinuity is a point that cannot exist because the x-coordinate would cause a problem in the equation. If you have a polynomial in the denominator, you must find which values of x would cause the polynomial in the denominator to evaluate to zero. Since division by zero is undefined, that would cause a discontinuity.

Let's look at your function.

$f(x) = \dfrac{x^2 - 16}{6x - 24}$

$x^2 - 16$ is in the numerator. It is defined for every value of x. There is no problem there.

$6x - 24$ is in the denominator. This is a function defined for every value of x, but since it is in the denominator, we must exclude the x-value that would cause this polynomial to evaluate to zero.

We set it equal to zero and solve the equation for x.

$6x - 24 = 0$

$6x = 24$

$x = 4$

For x = 0, the denominator has a value of zero, so at this point there is a discontinuity in function f(x).

The answer is:

$x \ne 4$

6 0

3 years ago

Use the compound interest formula A =P(1 + r) t and the given information to solve for r.

Dmitry [639]

Answer:

Rounding to nearest hundredths gives us r=0.06.

So r is about 6%.

Step-by-step explanation:

So we are given:

$A=P(1+r)^t$

where

$A=2300$

$P=1600$

$t=6$ .

$A=P(1+r)^t$

$2300=1600(1+r)^6$

Divide both sides by 1600:

$\frac{2300}{1600}=(1+r)^6$

Simplify:

$\frac{23}{16}=(1+r)^6$

Take the 6th root of both sides:

$\sqrt[6]{\frac{23}{16}}=1+r$

Subtract 1 on both sides:

$\sqrt[6]{\frac{23}{16}}-1=r$

So the exact solution is $r=\sqrt[6]{\frac{23}{16}}-1$

Most likely we are asked to round to a certain place value.

I'm going to put my value for r into my calculator.

r=0.062350864

Rounding to nearest hundredths gives us r=0.06.

8 0

4 years ago

What sign of a null hypothesis must always include?

IrinaVladis [17]

Answer:

Option d - Equality

Step-by-step explanation:

To find : What sign of a null hypothesis must always include?

Solution :

The Null hypothesis is defined as a statement about the population that either is believed to be true or is used to put forth an argument unless it can be shown to be incorrect beyond a reasonable doubt.

The Null hypothesis represent by $H_o$

$H_o$ always has a symbol with an equal in it.

Therefore, Option d is correct.

Equality sign of a null hypothesis must always include.

5 0

3 years ago

With one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the en

GuDViN [60]

Answer:

$P = 0.1447$

Step-by-step explanation:

Given

$n = 7000$ -- total

$d = 180$ --- defective

$r = 6$ --- selected

Required

The probability of rejecting the batch

This means that at least one of the selected piece is defected.

So, we first calculate the probability that all the selected piece are accepted.

So, we have:

$Pr = \frac{7000 - 180}{7000} * \frac{6999 - 180}{6999}* \frac{6998 - 180}{6998}* \frac{6997 - 180}{6997}* \frac{6996 - 180}{6996}* \frac{6995 - 180}{6995}$

The denominator decreases by 1 because it is a probability without replacement; 180 is subtracted from the numerator to represent the number of non-defective CDs

So, we have:

$Pr = \frac{6820}{7000} * \frac{6819}{6999}* \frac{6818}{6998}* \frac{6817}{6997}* \frac{6816}{6996}* \frac{6815}{6995}$

$Pr = 0.8553$

Using the complement rule, the probability that the batch will be rejected is:

$P = 1 - 0.8553$

$P = 0.1447$

8 0

3 years ago