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romanna [79]
3 years ago
5

50 Points!

Mathematics
1 answer:
Vilka [71]3 years ago
3 0

Answer:   \bold{a)\quad -2x^6+3x^4+3x^3-3x^2+11x+20\qquad b)\quad YES}

<u>Step-by-step explanation:</u>

a)

(-2x^6+x-5)(x^3-3x-4)\\\\\text{Use distributive Property to multiply:}\\-2x^3(x^3-3x-4)+x(x^3-3x-4)-5(x^3-3x-4)\\\\.\ -2x^6+2x^4+8x^3\\+\qquad \quad +x^4\qquad \quad -3x^2-4x\\+ \underline{\qquad \qquad \qquad -5x^3\quad \quad+15x+20}\\= -2x^6+3x^4+3x^3-3x^2+11x+20

b)

When multiplying, the order doesn't matter: 2 × 3 = 3 × 2

This is referred to as "Commutative Property of Multiplication"

So, (-2x⁶+x-5)(x³-3x-4) = (x³-3x-4)(-2x⁶+x-5)

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Which of the following are equal to x
KonstantinChe [14]

Answer:

A and E

Step-by-step explanation:

5 0
3 years ago
Please help! picture attached :)
Radda [10]

Answer:

y=-3x+4

Step-by-step explanation:

im assuming that you need the equation of the table

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6/-2=-3   slope=-3  

y=mx+b   just sub in the numbers from a point in the table

10=-3(-2)+b

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y=-3x+b

4 0
2 years ago
Round 637.892 to the nearest whole number
ladessa [460]

The next larger whole number is  638 .
The next smaller whole number is  637 .

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The nearest whole number is  638 .

3 0
3 years ago
Read 2 more answers
What is the sum of the first 70 consecutive odd numbers? Explain.
expeople1 [14]

The sum of the first n odd numbers is n squared! So, the short answer is that the sum of the first 70 odd numbers is 70 squared, i.e. 4900.

Allow me to prove the result: odd numbers come in the form 2n-1, because 2n is always even, and the number immediately before an even number is always odd.

So, if we sum the first N odd numbers, we have

\displaystyle \sum_{i=1}^N 2i-1 = 2\sum_{i=1}^N i - \sum_{i=1}^N 1

The first sum is the sum of all integers from 1 to N, which is N(N+1)/2. We want twice this sum, so we have

\displaystyle 2\sum_{i=1}^N i = 2\cdot\dfrac{N(N+1)}{2}=N(N+1)

The second sum is simply the sum of N ones:

\underbrace{1+1+1\ldots+1}_{N\text{ times}}=N

So, the final result is

\displaystyle \sum_{i=1}^N 2i-1 = 2\sum_{i=1}^N i - \sum_{i=1}^N 1 = N(N+1)-N = N^2+N-N = N^2

which ends the proof.

5 0
2 years ago
Find the arc length of the partial circle. <br>length is 1.<br>**See attached photo**<br>​
KatRina [158]

Arc length of the quarter circle is 1.57 units.

Solution:

Radius of the quarter circle = 1

Center angle (θ) = 90°

To find the arc length of the quarter circle:

$\text{Arc length}=2 \pi r\left(\frac{\theta}{360^\circ}\right)

                 $=2 \times 3.14  \times 1\left(\frac{90^\circ}{360^\circ}\right)

                $=2 \times 3.14  \times 1\left(\frac{1}{4}\right)

Arc length = 1.57 units

Arc length of the quarter circle is 1.57 units.

5 0
3 years ago
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