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Nataly_w [17]
3 years ago
12

Simplify the expression -2x^2(4x − 3). -8x3 − 6x2 -8x3 + 6x2 8x3 − 6x2 8x3 + 6x2

Mathematics
1 answer:
Digiron [165]3 years ago
8 0
To simplify the expression we are going to use the distributive property of multiplication: a(b+c)=ab+ac.
We can infer from our problem that a=-2x^2, b=4x, and c=-3. So lets apply the property to simplify our expression:
-2x^2(4x-3)=(-2x^2)(4x)+(-2x^2)(-3)
(-2x^2)(4x)+(-2x^2)(-3)=-8x^3+6x^2

We can conclude that the correct answer is <span>-8x3 + 6x2</span>
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One teacher wants to give each student 2/3 of a slice of pizza . If the teacher has 4 slices of pizza how many students will rec
Deffense [45]

Answer: 6 students

Step-by-step explanation:

The teacher wants to give each student 2/3 of a slice of pizza but only has 4 slices to give.

If each student gets 2/3 out of 4 slices, the number of students receiving will be:

= Slices / proportion per slice

= 4 / 2/3

= 4 * 3/2

= 12/2

= 6 students

5 0
3 years ago
brand X pizza is having a special coupon offer. if you buy two large pizzas, you get $2.00 off the total price before tax. a lar
soldier1979 [14.2K]

Answer:

Very handy question to know the answer to. I know of no place on the planet that does not have a tax of some sort.

The tax only applies when money changes hands. It does not apply to any discounts

So if you take the deal, the cost is

Cost of 2 pizzas = normal price - the discount.

Cost of 2 pizzas = 2*10.50 - 2.00

Cost of 2 pizzas = 21 - 2

Cost of 2 pizzas = 19.00 dollars.

Not you add on the sales tax. You can do this one of two ways, the long way or the short way.

Long way

Find the sales tax

Tax = % * cost

Tax = (7.5/100) * 19

Tax = 1.425 don't round yet.

Total Cost = purchase + tax

Total Cost = 19.00 + 1.425 = 20.425 Now round. This is a real problem. It depends on what you have been told to do about rounding when 5 is the last digit. I round up. So my answer would be 20.43 <<<<< Answer.

Short Way

Cost = (Price - discount)*(1 + %/100)

Cost = (21 - 2)*(1+ 7.5/100)

Cost = 19 * (1.075)

Cost = 20.425 = 20.43

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
4/3 b + 2 equals 4 - 1/3 be​
DIA [1.3K]

I do not understand what you are asking but I am going to assume that you are trying to simplify the equation.

First, write the equation.

(4/3)b + 2 = 4 - (1/3)b

Add (1/3)b to each side.

(5/3)b + 2 = 4

Subtract 2 on each side.

(5/3)b = 2

Divide by (5/3) on each side

b = 1.2

b = 1.2 is your final answer.

3 0
3 years ago
Read 2 more answers
A survey found that 12 out of every 15 people prefer eating out over cooking. If 500 people took the survey, how many people pre
Artyom0805 [142]

Answer:

400 people

Step-by-step explanation:

15 = 12

500 = x

Cross multiply

15x = 12 × 500

Divide both sides by 15

\frac{15x}{15} = \frac{12 * 500}{15}  (* means multiplication if you do not know)

\frac{12 * 500}{15} = 100 × 4= 400 people

8 0
3 years ago
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Multiply.
Nady [450]

\boxed{3\sqrt{22}\sqrt{58}\sqrt{18}=18\sqrt{638}}

<h2>Explanation:</h2>

Here we have the following expression:

3\sqrt{22}\sqrt{58}\sqrt{18}

So we need to simplify that radical expression. By property of radicals we know that:

\sqrt[n]{a}\sqrt[n]{b}=\sqrt[n]{ab}

So:

3\sqrt{22}\sqrt{58}\sqrt{18}=3\sqrt{22\times 58 \times 18}=3\sqrt{22968}

The prime factorization of 22968 is:

22968=2^3\cdot 3^2\cdot11\cdot 29

Hence:

3\sqrt{22968}=3\sqrt{2^3\cdot 3^2\cdot11\cdot 29}=3\sqrt{2^2\cdot 3^2\cdot 2\cdot 11\cdot 29}

By property:

\sqrt[n]{a^n}=a

So:

3\sqrt{2^2\cdot 3^2\cdot 2\cdot 11\cdot 29} \\ \\ 3(2)(3)\sqrt{2\cdot 11\cdot 29}=18\sqrt{638}

Finally:

\boxed{3\sqrt{22}\sqrt{58}\sqrt{18}=18\sqrt{638}}

<h2>Learn more:</h2>

Radical expressions: brainly.com/question/13452541

#LearnWithBrainly

3 0
3 years ago
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