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Aleks [24]
2 years ago
13

Select the correct answer.

Mathematics
1 answer:
mestny [16]2 years ago
3 0

The equation that can be solved using x = \frac{-8 \pm \sqrt{8^2 - 4(3)(-2)}}{2(3)} is C. 3x^2 + 8x − 10 = -8

<h3>How to determine the equation?</h3>

The attached image represents the missing information in the question

From the image, we have:

x = \frac{-8 \pm \sqrt{8^2 - 4(3)(-2)}}{2(3)}

The quadratic formula is:

x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}}

The above means that:

a = 3

b = 8

c = -2

From the list of options, we have:

C. 3x^2 + 8x − 10 = -8

Add 8 to both sides

3x^2 + 8x − 2 = 0

In the above equation, we have:

a = 3

b = 8

c = -2

Hence, the equation that can be solved using x = \frac{-8 \pm \sqrt{8^2 - 4(3)(-2)}}{2(3)} is C. 3x^2 + 8x − 10 = -8

Read more about quadratic equations at:

brainly.com/question/16684726

#SPJ1

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Solve for g<br>-6g + 3g + 12 &gt; -18<br>A.g&lt;2<br>B.g&gt; 2<br>C.g&lt;10<br>D.g&gt; 10​
Minchanka [31]

Answer:

g < 10

Step-by-step explanation:

-6g + 3g + 12 > -18

Combine like terms

-3g +12 > -18

Subtract 12 from each side

-3g+12-12 > -18-12

-3g > -30

Divide each side by -3, remembering to flip the inequality

-3g/-3 < -30/-3

g < 10

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3 years ago
1. Which of the following is NOT an expression?
IRISSAK [1]

Answer: D, 6y + 1z = 7x - 3w

Step-by-step explanation: Expressions do not have equal signs (=), D is the correct answer.

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1) If one person on average takes up 3.0 sq ft, then how many
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Answer:

1400 people

Step-by-step explanation:

7 0
3 years ago
Multiply 3x^2 (5x^3)
tresset_1 [31]

Answer:

Step-by-step explanation:

Here's what the multiplication looks like when it's done horizontally:

(4x2 – 4x – 7)(x + 3)

(4x2 – 4x – 7)(x) + (4x2 – 4x – 7)(3)

4x2(x) – 4x(x) – 7(x) + 4x2(3) – 4x(3) – 7(3)

4x3 – 4x2 – 7x + 12x2 – 12x – 21

4x3 – 4x2 + 12x2 – 7x – 12x – 21

4x3 + 8x2 – 19x – 21

That was painful! Now I'll do it vertically:

4x^2 – 4x – 7 is positioned above x + 3; first row: +3 times –7 is –21, carried down below the +3; +3 times –4x is –12x, carried down below the x; +3 times 4x^2 is +12x^2, carried down to the left of the –12x; second row: x times –7 is –7x, carried down below the –12x; x times –4x is –4x^2, carried down below the +12x^2; x times 4x^2 is 4x^3, carried down to the left of the –4x^2; adding down: 4x^3 + (+12x^2) + (–4x^2) + (–12x) + (–7x) + (–21) = 4x^3 + 8x^2 – 19x – 21

That was a lot easier! But, by either method, the answer is the same:

4x3 + 8x2 – 19x – 21

Simplify (x + 2)​(x3 + 3x2 + 4x – 17)

I'm just going to do this one vertically; horizontally is too much trouble.

Note that, since order doesn't matter for multiplication, I can still put the "x + 2" polynomial on the bottom for the vertical multiplication, just as I always put the smaller number on the bottom when I was doing regular vertical multiplication with just plain numbers back in grammar school.

x^3 + 3x^2 + 4x – 17 is positioned above x + 2; first row: +2 times –17 is –34, carried down below the +2; +2 times +4x is +8x, carried down below the x; +2 times 3x^2 is +6x^2, carried down to the left of the 8x; +2 times x^3 is +2x^3, carried down to the left of the +6x^2; second row: x times –17 is –17x, carried down below the +8x; x times +4x is +4x^2, carried down below the +6x^2; x times +3x^2 is +3x^3, carried down below the +2x^3; x times x^3 is x^4, carried down to the left of the +3x^3; adding down: x^4 + (+2x^3) + (3x^3) + (+6x^2) + (+4x^2) + (+8x) + (–17x) + (–34) = x^4 + 5x^3 + 10x^2 – 9x – 34

x4 + 5x3 + 10x2 – 9x – 34

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Answer:

2:3

Step-by-step explanation:

the ratio is simplified to 2:3

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