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Marianna [84]
3 years ago
12

PLEASE HELP 46 POINTS!!!

Mathematics
1 answer:
matrenka [14]3 years ago
8 0

Answer:

Step-by-step explanation:

a) Input = -9   ⇒ x = -9

y = x² + 3

Plugin x = (-9),

y = (-9)² + 3  

  =  81 +  3                {(-9)² = -9 * (-9) = 81}

y = 84    ---> Output

y = √x - 2

  = √-9 - 2          { i² = -1}

  = \sqrt{3*3 * i^{2}}-2\\\\=3i -2    

y = 3i - 2  ------> Output

b) Output = 0

y  = x² + 3

x² + 3 = 0

x² = -3

x = \sqrt{-3}=\sqrt{3i^{2}}\\\\x = i \sqrt{3}

y = √x -2

0 = √x - 2

√x = 2

Take square,

(\sqrt{x})^{2}=2^{2}\\\x = 4

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7m + 2 = 6n - 5<br> Write a formula for f(m) in terms of m.
vlada-n [284]

Answer:  m = 6/7n-1

Step-by-step explanation: to get 7m alone dirst we must subtract 2 from both sides so 2-2 = 0 and -5 - 2= -7 so 7m= 6n-7 and divide both sides by 7 to get m alone so 6n divided by 7 = 6/7n and -7 divided by 7 equals -1 so we're left with m= 6/7n-1

8 0
3 years ago
Two consecutive even integers have a sum of 14. The equation that would be used to solve this
Over [174]
X + x + 2 = 14
2x + 2 = 14
2x = 12, x = 6
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5 0
3 years ago
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The difference of three and the reciprocal of a number is equal to the quotient of 20 and the number. Find the number.
Monica [59]

Equation to find number: \frac{1}{n} - 3 = \frac{20}{n}

Number's value: n = -\frac{19}{3}



Step-by-step explanation:

Let n be the unknown number.

The reciprocal basically makes the number (n in this case) a fraction. So, that being said, the reciprocal of n would be \frac{1}{n}.

The difference of three and the reciprocal of a number (\frac{1}{n}) would be \frac{1}{n} - 3.

The quotient of 20 and the number (n) would be \frac{20}{n}.

So, with this information we've gathered so far, we can come up with an equation to find what the number equals.

Equation: \frac{1}{n} - 3 = \frac{20}{n}

To find what the number equals we must solve the equation.

3 0
3 years ago
 estimate the square root of 14 to the nearest integer 
Feliz [49]
The square root is 3.741657387
So the square root should be 3.7
4 0
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4.6.3 Test (CST): Linear Equations
inn [45]

The slope of the green line if the lines are perpendicular is -1/4

<h3>Perpendicular lines</h3>

For two lines two be perpendicular, the product of their slope must be -1. Let the slope of the red and green line be m1 and m2.

Given the following

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According the definition

4m2 = -1

m2 = -1/4

Hence the slope of the green line if the lines are perpendicular is -1/4

Learn more on perpendicular lines here: brainly.com/question/1202004

#SPJ1

5 0
2 years ago
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