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4 years ago

What is the solution set? −5x−6.5>12

Mathematics

2 answers:

Vesna [10]4 years ago

8 0

-5x-6.5>12

Add 6.5 to both sides...

-5x>18.5

Divide both sides by -5 and flip the sign...

x<-3.7

AfilCa [17]4 years ago

6 0

Assignment: $\bold{Solve \ Equation: \ -5x-6.5>12}$

<><><><><>

Answer: $\boxed{\bold{x$

<><><><><>

Explanation: $\downarrow\downarrow\downarrow$

<><><><><>

[ Step One ] Add 6.5 To Both Sides

$\bold{-5x-6.5+6.5>12+6.5}$

[ Step Two ] Simplify

$\bold{-5x>18.5}$

[ Step Three ] Reverse Both Sides Of Equation By -1

$\bold{\left(-5x\right)\left(-1\right)$

[ Step Four ] Simplify

$\bold{5x$

[ Step Five ] Divide Both Sides By 5

$\bold{\frac{5x}{5}$

[ Step Six ] Simplify

$\bold{x$

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$\bold{\rightarrow Mordancy \leftarrow}$

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2 years ago

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3 years ago

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4 years ago

Degree 3 polynomial with zeros -7, 3i, and -3i

d1i1m1o1n [39]

A polynomial having degree 3 with zeros -7, 3i, and -3i is:
x³+ 7x² - 9x - 63

The correct answer is an option (A)

In this question, we need to find the polynomial whose degree is 3 polynomial and zeros are -7, 3i, and -3i

The zeros of the required polynomial = -7, 3i, and -3i

This means, the roots of the polynomial = (x + 7), (x - 3i) and (x + 3i)

We know that in complex numbers, i = √-1

So, 3i = 3√-1

= √-9

i.e., the roots of the polynomial are (x + 7), (x - √-9) and (x + √-9)

And the polynomial would be,

(x + 7)(x - √-9)(x + √-9)

= (x + 7)(x² - (√-9)²)

= (x + 7)(x² - (-9))

= (x + 7)(x² + 9)

= x³+ 7x² - 9x - 63

Therefore, a polynomial having degree 3 with zeros -7, 3i, and -3i is:
x³+ 7x² - 9x - 63

The correct answer is an option (A)

Learn more about the polynomial here:

brainly.com/question/14344049

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4 0

1 year ago

What is the solution set? ​ −5x−6.5>12

What is the solution set? −5x−6.5>12