Answer:
f(x) = 12x³ - 19x² + 17x - 17
Step-by-step explanation:
We can the numerator by multiplying the denominator by the quotient, and then adding the remainder.
We're given a denominator of 4x - 5
a quotient of 3x² - x + 3
and a remainder of -2
so the original numerator is:
(4x - 5)(3x² - x + 3) - 2
= 12x³ - 4x² + 12x - 15x² + 5x - 15 - 2
= 12x³ - 19x² + 17x - 17
Let's test that by dividing it by 4x -5 with long division:
That matches, so we know our answer's right, and:
f(x) = 12x³ - 19x² + 17x - 17
Answer:
<h2>Diameter = 6 cm</h2>
Step-by-step explanation:
The formula of a volume of a sphere:
We have V = 36(3.14) cm³ = V = 36π cm³. Substitute:
<em>divide both sides by π</em>
<em>multiply both sides by 3</em>
<em>divide both sides by 4</em>
![R^3=27\to R=\sqrt[3]{27}\\\\R=3\ cm](https://tex.z-dn.net/?f=R%5E3%3D27%5Cto%20R%3D%5Csqrt%5B3%5D%7B27%7D%5C%5C%5C%5CR%3D3%5C%20cm)
The diameter D = 2R.
Therefore D = 2(3 cm) = 6cm
P C
3 39
4 48
5 57
6 66
9(3)=27+12=39=c
9(4)=36+12=48=c
57=9p+12
-12 -12
45=9p
divide by 9 both sides 45/9=5=p
c=9(6)+12
c=54+12
c=66
Here is the simplified answer to this equation: 5 goes into 8 once, so you would bring the 5 on top and subtract 8, the first number, by 5. The answer is three. Bring down the 3 next to the 8. You now have 33. 5 goes into 33 6 times, which equals 30. Write 30 underneath 33 and bring the 6 to the top next to the 1. Bring down the 3 next to the last 3. You now have 33. 5 goes into 33 (once again) 6 times. Write 6 on top next to the last 6. 33 - 30 = 3. 5 cannot go into 3 since it is larger, so 3/5 you write 3/5 as a decimal next to 166 at the top (3 at the bottom and 5 is the larger number at the divisor spot). The decimal is 0.6. Therefore, your answer should be 166.6. To make sure, multiply 166.6 x 5. Hopefully, you get 833.
Hope I helped!
