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3 years ago

Factor completely 2x^2 − 2x − 40.

Mathematics

1 answer:

zubka84 [21]3 years ago

3 0

Step-by-step explanation:

Hey there!

Given;

$= 2 {x}^{2} - 2x - 40$

Solve it by using mid-term factorization.

$= 2 {x}^{2} - 2x - 40$

$= 2 {x}^{2} - (10 - 8)x - 40$

$= 2 {x}^{2} - 10x + 8x - 40$

Take common and simplify them to get answer.

$2x(x - 5) + 8(x - 5)$

$= (2x + 8)(x - 5)$

$= 2(x + 4)(x - 5)$

Therefore the answer is option D.

Hope it helps..

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81x^4 write as a square

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2 years ago

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An object is moving in a straight line. It initially travelz at a speed on 9 meters per second, and speeds up at a constant rate

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2 years ago

Find the inequality represented by the graph?

vitfil [10]

Answer:

y > -2/3x + 3

Step-by-step explanation:

Well lets first start with the beginning and look at its features.

Features

- Dashed line

- Shaded up

- negative slope

- y intercept at 3

____________________________________________________________

So if the line is dashed with the shade going up that means the inequality starts like this,

y >

We can tell that the y intercept is at 3 because that the point the line touches the y axis.

So we got y > 3,

To find slope we use the following formula,

$\frac{y^2-y^1}{x^2-x^1}$ ,

So we can use points (0,3) and (3,1).

1 is y2 and 3 is y1 so 1 - 3 = -2

3 - 0 = 3

Slope: -2/3x

Thus,

the inequality is y > -2/3x + 3.

Hope this helps :)

5 0

2 years ago

d) Jerry, Barry, and Harry went fishing and they each caught a giant fish! Jerry's fish is 62 inches long. Barry's fish is 7 fee

Sauron [17]

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7 0

2 years ago

trapecia [35]

Answer:

I) f + g = 10/3

II) 4f + 2g = 20/3

III) f = 2 and g = 4/3

Step-by-step explanation:

From the chart,

P = 25

q = 40

The total number of one centimeter lines in the first n diagrams is given by the expression

2/3n^3 + fn^2 + gn.

When n = 1, the total number of line = 4. So,

2/3(1)^3 + f(1)^2 + g(1) = 4

2/3 + f + g = 4

Make f+g the subject of formula

f + g = 4 - 2/3

f + g = (12 - 2)/3

f + g = 10/3 ......(1)

When n = 2

Total number of line = 12

2/3(2)^3 + f(2)^2 + g(2) = 12

2/3×8 + 4f + 2g = 12

16/3 + 4f + 2g = 12

4f + 2g = 12 - 16/3

4f + 2g = (36 - 16)/3

4f + 2g = 20/3 ......(2)

(iii) To find the values of f and g, solve equation 1 and 2 simultaneously

f + g = 10/3 × 2

4f + 2g = 32/3

2f + 2g = 20/3

4f + 2g = 32/3

- 2f = - 12/3

f = 12/6

f = 2

Substitutes f in equation 1

f + g = 10/3

2 + g = 10/3

g = 10/3 - 2

g = (10 - 6)/3

g = 4/3

4 0

3 years ago