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2 years ago

(x+2)(x+6)=0

Mathematics

2 answers:

love history [14]2 years ago

6 0

Answer:

the zero product property because you can set them to 0

seropon [69]2 years ago

5 0

Answer: The correct option is

(C) Zero product property.

Step-by-step explanation: The given problem is

$(x+2)(x+6)=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

To conclude that x+2=0 or x+6=0, one must use which of the given properties.

We know that

for any two expressions E and F, we have

$EF=0~~~\Rightarrow E=0~\textup{or}~F=0.$

This property is known as Zero product property.

Therefore, to conclude x+2=0 or x+6=0 from the given problem (i), we must use the Zero product property.

Thus, (C) is the correct option.

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2 years ago

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What is x and what is y in 4x-2y=4

Fed [463]

Answer:

x = 1/2y + 1

y = 2x - 2

Step-by-step explanation:

Let's solve for x.

4x−2y=4

Step 1: Add 2y to both sides.

4x−2y+2y=4+2y

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Step 2: Divide both sides by 4.

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Answer:

y+1

Let's solve for y.

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Step 1: Add -4x to both sides.

4x−2y+−4x=4+−4x

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Step 2: Divide both sides by -2.

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Hope this helps!

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2 years ago

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3 years ago

How much is the interest on my loan?

kirill [66]

Answer: The interest is: " $ 64 .00 " .

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Step-by-step explanation:

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Take note of the formula:

" Ⅰ = Prt " ;

→ that is:

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→ " Ⅰ = P * r * t " ;

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In which:

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" Ⅰ = the interest " ;

" P = the Principal amount of money " ;

" r = rate " (expressed as the "decimal form" of the percentage) ;

" t = time " (in years) ;

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We are given:

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P = $400 ;

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{<u>Note of interest</u>: That is " 8% " ; since "8 % " = "(8/100)" ;

= "(8 ÷ 100)"

= " 0.08 ".}.

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→ To solve for "Ⅰ " ; we plug in our given values; and calculate:

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→ Ⅰ = P * r * t ;

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2 years ago

Locate the interval μ ± 2σ on the x-axis of a probability histogram. You are given that the mean is 2.84 and the standard deviat

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Answer:

$P(0.02$

And we can find this probability with the following difference:

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And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.

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Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(2.84,1.41)$