Answer:
Option B: 3x(x - 3)(x - 5)
Step-by-step explanation:
The given polynomial is: 3x³ - 24x² + 45x
To factorize it: 3x³ - 24x² + 45x
Since, 3x is common through out we can take it out.
⇒ 3x(x² - 8x + 15)
Now we have to factorize (x² - 8x + 15)
The roots of this quadratic equation is: 5, 3.
Therefore, x² - 8x + 15 = (x - 3)(x - 5)
Combining them, the factors of the polynomial would be:
(B) 3x(x - 3)(x - 5)
Equation=2a+3b=$14
=4a+5b=$24
Multiply the first equation by 4 and the second by 2 to get the value of b....
8a+12b=56 -
8a+10b=48
2b=8
b=$4
If the price of an orange is $4 we can now find the price of an apple by
.................2a+(3*$4)=$14
............2a+12=14........2a=2
a=1
So the cost of an apple is $1 and that of an orange is $4
......Hope it helps you
Answer:147,000 J
Step-by-step explanation:
Just did on apex
Answer:
slope-intercept form: y = x+2
The slope is 1
y-interspet is -2
Step-by-step explanation:
hope it helps
X = multiplication
h = height
r^2 = radius squared
Formula of a cylinder: Pi x r^2 x height
So, if 176 = 3.14... times 4^2 times h
Then, 176 = 3.14 times 16h
Next, 176 = 50.24h
Finally, 3.5 = h
You can then check your work by plugging 3.5 back in for the missing height and round to the nearest tenth. :) The answer should come out the same if done correctly.
