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2 years ago

Factoring 8x^2-12x-8

Mathematics

2 answers:

Phantasy [73]2 years ago

8 0

Answer:

⇒ $4(x-2)(2x+1)$

Step-by-step explanation:

1) Common factor

⇒ $8x^2-12x-8\\$

⇒ $4(2x^2-3x-2)$

2) Use the sum-product pattern

⇒ $4(2x^2-3x-2)$

⇒ $4(2x^2+x-4x-2)$

3) Common factor from the two pairs

⇒ $4(2x^2+x-4x-2)$

⇒ $4(x(2x+1)-2(2x+1))$

4) Rewrite in factored form

⇒ $4(x(2x+1)-2(2x+1))$

⇒ $4(x-2)(2x+1)$

Allushta [10]2 years ago

4 0

Answer:

( 8x - 4 ) ( x - 2 )

Step-by-step explanation:

8x² - 12x - 8

8x² - 16x + 4x - 8

8x ( x - 2 ) - 4 ( x - 2 )

( 8x - 4 ) ( x - 2 )

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Find the area of the figure. Round to the nearest tenth if necessary.

baherus [9]

Hello!

First of all, let's find the triangle. As we can see, it is eight units long and four units tall. We can use the triangle formula and half the product.

4(8)=32

32/2=16

Now we need to find the area of the semicircle. We can use circle formulas and half our final answer. We will find the area using A= $\pi$ r².

We know that the diameter of this circle is eight. Therefore our radius is 4.

A= $4\pi$ ²

A= $16\pi$

Now we multiply.

16 $\pi$ ≈50.27

Now we add our triangle.

50.27+16=66.27

The nearest answer to this is B)66.2. It may have been a bit over as we used $\pi$ , not 3.14.

I hope this helps!

3 0

3 years ago

During a football game a concession stand sold a family three hamburgers and two hotdogs for a total of $13 it's sold another fa

guajiro [1.7K]

Answer:

The price of each hamburger is $3

The price of each hot dogs is $2 .

Step-by-step explanation:

Given as :

The total price of 3 hamburger and 2 hot dogs = $13

The total price of 2 hamburger and 5 hot dogs = $16

Let The price of each hamburger = $x

Let The price of each hot dogs = $y

Now, According to question

3 x + 2 y = 13 .........A

2 x + 5 y = 16 .......B

Now, Solving to eq A and B

3 × (2 x + 5 y ) - 2 × (3 x + 2 y ) = 3 × 16 - 2 × 13

Or, (6 x + 15 y) - (6 x + 4 y) = 48 - 26

Or, (6 x - 6 x) + (15 y - 4 y) = 22

Or, 0 + 11 y = 22

∴ y = $\dfrac{22}{11}$

i.e y = $2

so, The price of each hot dogs = y = $2

Now, Put the value of y into eq B

i.e 2 x + 5 y = 16

or, 2 x + 5 × 2 = 16

or, 2 x = 16 - 10

or, 2 x = 6

∴ x = $\dfrac{6}{2}$

i.e x = $3

So, The price of each hamburger = x = $3

Hence, The price of each hamburger is $3 and The price of each hot dogs is $2 . Answer

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3 years ago

What is the value of x

STALIN [3.7K]

X=11, set 10x+5x+15=180
15x+15=180, subtract 15 from 180= 165, then divide 165 by 15

7 0

3 years ago

Find the equation of the line with a slope of 3/4 and passes through (4-2)

Ira Lisetskai [31]

Answer:

y = 3/4x - 5

Step-by-step explanation:

An equation of a line can be written in slope-intercept form:

y = mx + b

where m is the slope and b is the y-intercept.

Let's plug in what we know.

The slope is 3/4.

y = 3/4x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the point (4, -2). Plug in the x and y values into the x and y of the standard equation.

-2 = 3/4(4) + b

To find b, multiply the slope and the input of x(4)

-2 = 3 + b

Now, subtract 3 from both sides to isolate b.

-5 = b

Plug this into your standard equation.

y = 3/4x - 5

This is your equation. It has a slope of 3/4, and passes through (4, -2)

Hope this helps!

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3 years ago

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deff fn [24]

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1 year ago