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3 years ago

What is the expression (x-3)(x^2-3x-10) as a polynomial in standard form?

1 answer:

5 0

A polynomial in standard form only means that you put it in order of descending x values. Multiplying out those 2 factors gives us $x^3-3x^2-10x-3x^2+9x+30$ . Combining like terms and we have $x^3-6x^2-x+30$ . That's in standard form.

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Two wheels rolled simultaneously. The radius of the smaller wheel is r feet and the radius of the larger wheel is 2r feet If bot

Mnenie [13.5K]

The smaller wheel rolled
.. 4*2πr = 8πr . . . . feet

The larger wheel rolled
.. 4*2π*2r = 16πr . . feet

The larger wheel traveled (16πr -8πr) = 8πr feet farther than the small wheel.

6 0

3 years ago

How do you solve this equation: -2m+3=|15+m|

Elden [556K]

Any number inside the modulus sign becomes positive. This means $|15+m|=|-(15+m)|=|-15-m|$ and so we have,

$-2m+3=|15+m| \Rightarrow \left \Big\{ {{-2m+3=15+m} \atop{-2m+3=-15-m}} \right$

Solving these gives us

$-2m+3=15+m \Rightarrow m=-4$

$-2m+3=-15-m \Rightarrow = m=18$

However if we check the second solution in the original equation we obtain $-2(18)+3=|15+18| \Rightarrow -33=33$ . This is false and so $m=18$ can't be a solution.

Therefore the only solution is $m=-4$ .

(Note: I'm not sure why the second solution didn't work but when there's a modulus sign involved it always pays to check your final answers to be sure. I'll have a think about it but in case you find out before I do, I'd be interested to know in the comments.)

8 0

3 years ago

HURRY FIRST GETS BRAINLLEST The diagram below shows a circular pizza with a diameter of 14 inches. The pizza is in a square box

boyakko [2]

Answer:

pls do mark my answer as the brainliest..........

Step-by-step explanation

portion of square empty = 256 - 153.86 = 102.14cm^2

8 0

2 years ago

WILL GIVE BRAINLIEST TO THE RIGHT ANSWER

Kryger [21]

It depends on the vehicle but normally four of five

8 0

3 years ago

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Anna cuts four identical circles from a square piece of black poster board as shown. What is the area of the left over poster bo

nydimaria [60]

Formula for a circle: A=Pi*r^2
Diameter:2ft
Radius:1ft
A=3.14*1^2
A=3.14
Multiply by 4
4 squares=12.56ft squared
Formula for a square: A=s^2
A=4^2
A= 16ft squared
To find leftover you need to subtract 12.56 ft from 16 ft to get 3.44 ft squared(A).

6 0

3 years ago

Read 2 more answers