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3 years ago

Which of the following is equivalent to the expression below for x≠6?

Mathematics

1 answer:

nata0808 [166]3 years ago

6 0

Answer:

The fourth answer choice is the correct one: 2(x - 3)

Step-by-step explanation:

2x²-18x+36/x-6 should be factored, as follows:

2(x²-9x+18) / (x-6) = 2(x - 3) (x - 6) / (x - 6)

Substituting x = 6 would result in division by zero and is thus not allowed.

Remembering this, we can reduce 2(x - 3) (x - 6) / (x - 6) to 2(x - 3) for x≠6.

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Write Each Number As A Power Of 5

Lena [83]

The numbers as powers of 5 are 5^-1, 5^-2, 5^-3 and 5^0

<h3>How to rewrite the numbers as a power of 5?</h3>

The numbers are given as:

• 0.2

• 0.04

• 125^-1

• 15^0

Number 1: 0.2

Express as fraction

1/5

Apply the power rule of indices

5^-1

Number 2: 0.04

Express as fraction

1/25

Express 25 as 5^2

1/5^2

Apply the power rule of indices

5^-2

Number 3: 125^-1

Express as fraction

1/125

Express 125 as 5^3

1/5^3

Apply the power rule of indices

5^-3

Number 4: 15^0

Evaluate the exponent

15^0 = 1

Express 1 as 5^0

15^0 = 5^0

Hence, the numbers as a power of 5 are 5^-1, 5^-2, 5^-3 and 5^0

Read more about exponents at

brainly.com/question/847241

#SPJ1

5 0

2 years ago

Francois baked just enough cookies to fill all the orders at his bakery. While the cookies were cooling, a kitchen assistant kno

Dmitrij [34]

12/100x=36
=> x=36*100/12
=> x = 300

7 0

3 years ago

Question 3 (5 points)

luda_lava [24]

Answer:

width = 26 inches

Step-by-step explanation:

perimeter of a rectangle= p

p= 2*L+ 2*w

L= length

w= width

The statement tell us:

L= 10+w

p=124

124=2*(10+w) +2*w

124= 20+2w+2w

124-20=4w

w=104/4

w=26 =width

6 0

3 years ago

Simplify 4√16 + 8√16

Mumz [18]

$4\sqrt{16} + 8\sqrt{16}$ :

Since $\sqrt{1} =1$ , we get:

$4\cdot \:1\cdot \:6+8\cdot \:1\cdot \:6=24+48=72$

-----------------------------------------------------------------------------------

$7\sqrt{4} *3\sqrt{8}$

We have $\sqrt{4}=2$

simplify $\sqrt{8} = \sqrt{2^3} = \sqrt{2^2*2}$

then the radical rule is used: $\quad \sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}$

⇒ $\sqrt{2^2*2} = \sqrt{2^2} \sqrt{2}= \sqrt{4}\sqrt{2} =2\sqrt{2}$

Now we have $\sqrt{4}=2$ and $\sqrt{8}=2 \sqrt{2}$

$7\sqrt{4} *3\sqrt{8} = 7*2*3*2\sqrt{2} = 84 \sqrt{2}$

-----------------------------------------------------------------------------------

$2\sqrt{4}+5 \sqrt{9}$

$2\sqrt{4} =2*2= 4$ and $5\sqrt{9} =5*3= 15$

$2\sqrt{4}+5 \sqrt{9} = 4+15 = 19$

-----------------------------------------------------------------------------------

$4\sqrt{5} -2\sqrt{5} = 2\sqrt{5}$

since $2\sqrt{5}$ is the half of $4\sqrt{5}$

-----------------------------------------------------------------------------------

$-4\sqrt{2}\:+\:5\sqrt{2} =1 \sqrt{2} = \sqrt{2}\\$ (-4+5=1)

4 0

3 years ago

What is the simplest form of this expression? -x^3(5x+1)+4x^4

Fantom [35]

Answer:

-x^3*(x + 1)

Step-by-step explanation:

Perform the indicated multiplication and then write out all the terms in descending order by powers of x:

-x^3(5x+1)+4x^4 = -5x^4 - x^3 + 4x^4

= -x^4 - x^3, or = -x^3*(x + 1)

7 0

3 years ago