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raketka [301]
4 years ago
5

X^2 + 6x+8 (factoring, setting factor = to 0 and solve for roots)

Mathematics
1 answer:
const2013 [10]4 years ago
8 0

Answer:

x = -4, -2

Step-by-step explanation:

<u>Key skills needed: Quadratics, Factoring, Solving for Roots</u>

1) We are given : x^2 + 6x + 8 = 0 and we need to solve for the roots.

2) You have to factor.

You need to find what factors of 8 add up to 6.

The factors of 8 are --> 1,2,4,8

The 2 factors that add up to 6 and multiply to equal 8 are --> 2 & 4

3) This means it would become ---> (x+4)(x+2) = 0.

4) Set x + 4 = 0 and get x = -4 as one root

Set x + 2 = 0 and get x = -2 as another root.

The 2 roots are -4, and -2

<em>Hope you understood and have a nice day!! :D</em>

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What is the product? (3x-6) (2x^2 -7x+1)
STALIN [3.7K]

<u>Answer-</u>

\left(3x-6\right)\left(2x^2-7x+1\right)=6x^3-33x^2+45x-6

<u>Solution-</u>

Given the two polynomials are 3x-6, 2x^2 -7x+1

So their product will be,

=\left(3x-6\right)\left(2x^2-7x+1\right)

Distributing the Parentheses,

=3x\cdot \:2x^2+3x\left(-7x\right)+3x\cdot \:1+\left(-6\right)\cdot \:2x^2+\left(-6\right)\left(-7x\right)+\left(-6\right)\cdot \:1

Applying minus-plus rules,

=3\cdot \:2x^2x-3\cdot \:7xx+3\cdot \:1\cdot \:x-6\cdot \:2x^2+6\cdot \:7x-6\cdot \:1

Simplifying further,

=6x^3-33x^2+45x-6

4 0
4 years ago
Read 2 more answers
If 2a/4=b/4 and b≠0, what does 5b equal in terms of a?
dedylja [7]

Step-by-step explanation:

you must have made a typo here.

none of the answer options are correct for the given problem.

let me just show you what you told me, and how I can solve at least this :

2a/4 = b/4

this simply means (multiply both sides by 4) :

2a = b

so, 5b is then (multiplying both sides by 5) :

5×2a = 5b

10a = 5b

but again, "10a" is not among the offered answers.

so, I don't know if you made a mistake with the basic problem or with the answer options.

8 0
2 years ago
Solve for t. −5t≥70
bija089 [108]

Answer:

Step-by-step explanation:

-5t ≥ 70

t ≤ -14

7 0
3 years ago
Read 2 more answers
6. Find the volume of the composite figure. ​
Elenna [48]

Answer:

4×6=24

24×15=360

360×2=720

15-12=3

3×6=18

18×18=324

324+720=1044inches

4 0
3 years ago
On the scale drawing of a car, the length from bumper to bumper is 6 inches. The car’s actual length, from bumper to bumper, is
dimulka [17.4K]

Answer:

  • 3/8 in/ft
  • 1/32 . . . (pure number, no units)

Step-by-step explanation:

The ratio can be expressed directly as ...

... (6 in)/(16 ft) = 3/8 in/ft

This can be read or used in different ways:

  • 3/8 in = 1 ft
  • 3 in = 8 ft

Or, the units can be made compatible and the ratio expressed as a pure number.

... (1/2 ft)/(16 ft) = (1/32) ft/ft = 1/32

This means whatever measurement is made on the model, the actual vehicle measurement is 32 times that.

4 0
4 years ago
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