Answer:
(x-3)(x^2-7) = x^3 -3x^2 -7x + 21
just change the sign of the root and put x in front of it, then multiply the factors all together
(x-3)(x-sqr7)(x+sqr7) roots come in conjugate pairs to eliminate irrational coefficients
(x-sqr7)(x+sqr7) = x^2-7. similar to (a-b)(a+b) = a^2-b^2
Step-by-step explanation:
Answer: The volume of the grapefruit is approximately 8 times as great as the volume of the lime.
Step-by-step explanation:
You need to use the formula for calculate the volume of a sphere. This is:
![V=\frac{4}{3}\pi r^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%20r%5E3)
Where "r" is the radius.
<u>Volume of the grapefruit</u>
You know that its diameter is 16 centimeters.
Since the radius is half the diameter, you get that its volume is:
![V_g=\frac{4}{3}\pi (\frac{16\ cm}{2}) ^3\\\\V_g= 2,144.66\ cm^3](https://tex.z-dn.net/?f=V_g%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%20%28%5Cfrac%7B16%5C%20cm%7D%7B2%7D%29%20%5E3%5C%5C%5C%5CV_g%3D%202%2C144.66%5C%20cm%5E3)
<u> Volume of the lime</u>
According to the information given in the exercise, the diameter of the lime is 8 centimeters.
As it was explained above, the radius is half the diameter. Knowing that, you get that volume of the lime is the shown below:
![V_l=\frac{4}{3}\pi (\frac{8\ cm}{2}) ^3\\\\V_l= 268.08\ cm^3](https://tex.z-dn.net/?f=V_l%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%20%28%5Cfrac%7B8%5C%20cm%7D%7B2%7D%29%20%5E3%5C%5C%5C%5CV_l%3D%20268.08%5C%20cm%5E3)
In order to find approximately how many times as great is the volume of theat grapefruit as the volume of that lime, you need to divide the volumes calculated above. Then:
![\frac{2,144.66\ cm^3}{268.08\ cm^3}\approx8\ times](https://tex.z-dn.net/?f=%5Cfrac%7B2%2C144.66%5C%20cm%5E3%7D%7B268.08%5C%20cm%5E3%7D%5Capprox8%5C%20times)
I will gladly help you with this problem. The term you are looking for is called scientific notations, much an easier way to understand such a long number. Here you have 56 million. Let's make it numerically, 50 000 000. You see I don't place commas is because I leave the space out to understand the number correctly. Next, you would have to place the decimal to the tenths place towards the left. Hence you'll get 5 but what do you do with the zeros? In this case, your zeros are to be exponents of 10 because 10 is the relevant number to the power of any number. Then the amount of decimals you moved will be the exponent. Since you're moving the decimal 7 times, so that indicates your exponent. Your final answer is 5 x 10^7.
Answer:
yeah nah yeah nah
Step-by-step explanation:
yeah nah yeah nah
Answer:
-5
Step-by-step explanation:
the coefficient of x^4 is -5