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IRINA_888 [86]
3 years ago
14

Solve for x...........................

Mathematics
1 answer:
yaroslaw [1]3 years ago
5 0

Answer:

Option A is correct, i.e. x = -3, x = 7.

Step-by-step explanation:

Given the equation is x² -4x -21 = 0.

We can compare it with general quadratic equation i.e. ax² +bx +c =0.

then a = 1, b = -4, c = -21.

We can use Quadratic formula as follows:-

x = ( -b ± √(b²-4ac) )/2a

x = ( +4 ± √(16-4*1*-21) )/2*1

x = ( +4 ± √(16+84) )/2

x = ( +4 ± √(100) )/2

x = ( +4 ± 10 )/2

x = (4+10)/2 or x = (4-10)/2

x = 14/2 or x = -6/2

x = 7 or x = -3

Hence, option A is correct, i.e. x = -3, x = 7.

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Explain how negative powers of 10 can be helpful when writing and comparing small numbers
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Answer:

See explanation

Step-by-step explanation:

Powers of 10 is a very useful way of writing down large or small numbers.

Instead of having lots of zeros, you show how many powers of 10 will make that many zeros.

When you work with small numbers, you should use the negative powers of 10. Just remember for negative powers of 10, move the decimal point to the left. For example,

0.36=3.6\cdot 10^{-1}\ [\text{Move the decimal point one place to the left}]\\ \\0.036=3.6\times 10^{-2}\ [\text{Move the decimal point two places to the left}]\\ \\0.0036=3.6\times 10^{-3}\ [\text{Move the decimal point three places to the left}]\\ \\...

When comparing small numbers, write these numbers in scientific notation (only one non-xero digit must be before point) and then

  • if the powers of 10 are the same in compared numbers are the same, just compare the numbers which are multiplied by these powers of 10. For example, 3.6\times 10^{-6}>2.6\times 10{-6}, because powers are the same (-6) and 3.6>2.6
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8 0
3 years ago
Help plz?????????????????
SCORPION-xisa [38]

Answer:

$11.40

Step-by-step explanation:

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3 years ago
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B

Step-by-step explanation:

Domain and ranges of inverse functions are swapped.

Domain of the original is the range of the inverse and vice versa.

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3 years ago
Think of a problem dealing with two possibly related variables (Y and X) that you may be interested in. Share your problem and d
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Answer:

Explained below.

Step-by-step explanation:

Consider the variables height and weight.

It is usually seen that taller people are heavier than shorter people.

So a regression analysis can be used to specify this belief.

The statistical questions that are being asked here are:

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The variable <em>Y</em> is considered as the dependent variable and the variable <em>Y</em> is considered as the independent variable.  And the main purpose of the regression analysis is to predict the value of <em>Y</em> when the value of <em>X</em> is given.

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5 0
3 years ago
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Answer:

4

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Root(48)/Root(3)

= root(48/3)

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