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4 years ago

Use the method of completing the square to transform the quadratic equation into the equation form (x – p)2 = q.

Mathematics

1 answer:

oee [108]4 years ago

8 0

X^2-12x-9=0
Add 9 to both sides
x^2-12x=9
Add (b/2)^2 to both sides
x^2-12x+36=45
Factor
(x-6)^2=45
So C is the answer

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Eight expressions are given below. Determine whether each expression is equivalent to 5^10 or not equivalent to 5^10.

KengaRu [80]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the 8 expressions are not given.

The general explanation is as follows

As complex as an expression may seem, you have to simplify each expression until it cannot be further simplified.

Then you categorize each result, depending on if it equals $5^{10}$ or not

Take for instance:

$5^5 * 5^5$

Using law of indices:

$5^5 * 5^5 = 5^{5+5$

$5^5 * 5^5 = 5^{10$ ---- equivalent

$\frac{5^5 + 5^5}{2 * 5^{-5}}$

Factorize the numerator

$\frac{5^5 + 5^5}{2 * 5^{-5}} = \frac{5^5(1 + 1)}{2 * 5^{-5}}$

$\frac{5^5 + 5^5}{2 * 5^{-5}} = \frac{5^5 * 2}{2 * 5^{-5}}$

Cancel out 2

$\frac{5^5 + 5^5}{2 * 5^{-5}} = \frac{5^5}{5^{-5}}$

Apply law of indices

$\frac{5^5 + 5^5}{2 * 5^{-5}} = 5^{5--5}$

$\frac{5^5 + 5^5}{2 * 5^{-5}} = 5^{5+5}$

$\frac{5^5 + 5^5}{2 * 5^{-5}} = 5^{10$ ---equivalent

$125 * 78125$

Express as exponent

$125 * 78125 = 5^3 * 5^7$

Apply law of indices

$125 * 78125 = 5^{3+7$

$125 * 78125 = 5^{10$ ---- equivalent

$5^3 + 5^7$

Solve exponents

$5^3 + 5^7 = 125 + 78125$

$5^3 + 5^7 = 78250$ ---- not equivalent

4 0

3 years ago

We suspect the overall mean monthly rent of apartments in Shadyside is higher than in Oakland, so we survey a random sample of O

Mars2501 [29]

Answer:

e. Two-sample t-test.

Step-by-step explanation:

This is simply because you only have interval level of measure and you are comparing two populations.

Moreso, this hypothesis test is used to determine questions related to the mean in situations where data is collected from two random data samples. The two sample T-test is often used for evaluating the means of two variables or distinct groups, providing information as to whether the means between the two populations differs. It also can be used to compare the responses of males and females who have each received different treatment within an experiment.

6 0

3 years ago

Julie spend $5.62 at the store. Micah spends 5 times as much as Julie. Jeremy spends $6.72 more that Micah. How much money does

Arturiano [62]

Answer:

Julie Spends $5.62, Micah spends $28.10 and Jeremy Spends $34.82

Step-by-step explanation:

If Micah spends 5 times as much as Julie, that is $28.10 because 5.62 x 28.10 = 28.10. If Jeremy spends 6.72 more than Micah, you would do 28.10 + 6.72, which is 34.82

I <em>think </em>I did the math correct but I may be wrong

8 0

3 years ago

Before a new variety of frozen muffins is put on the market, it is subjected to extensive taste testing.People are asked to tast

Greeley [361]

Answer:

An experimental study

Step-by-step explanation:

An experiment deliberately imposes some treatment on individuals in order to observe their responses.

An experimental studies formulates some conditions in order to make an inference. An observational study tries to gather information without disturbing the scene they are observing.

This is then an experiment because people are deliberately asked to taste two muffins and asked for their response.

5 0

3 years ago

For five days Vicki recorded the temperature outside. The temperature (°F) was 36.9°, 34.6°, 37°, 40.2°, 32.8°. About what was t

iren2701 [21]

Take all the temperatures and add them together then divide that by five and you get 36.3

So the answer is 36.3

7 0

3 years ago

Read 2 more answers