If one root of a cubic is known (and verified), then we can do a synthetic division and factor the remaining quadratic expression.
f(x)=x^3+x^2-22x-40
f(5)=125+25-22(5)-40=0 so x-5 is a factor
Now do the synthetic division
5 | +1 +1 -22 -40
--------------------
1 6 8 0
The resulting quadratic is x^2+6x+8 which can be factored into
(x+2)(x+4)
The complete factorization is therefore
f(x)=<span>x³ + x² - 22x - 40 = (x-5)(x+2)(x+4)</span>
Answer:
1. 900
2. 350
Step-by-step explanation:
the formula,
A= P(1+rt)
A= final amount
P= starting amount
r= intrest rate
t= time
1. A=750(1+.05*4)
A=750(1.2)
A=900
2. A=1500(1+.1*2)
A=1500(1.1)
A=1650
But theyre
asking for how much intrest will they get back, so you subtract the new amount by the starting amount to find how much intrest was earned
1650-1500=350
Answer:
142
Step-by-step explanation:
Answer:
A'= (3,2) B'= (0,2) C'= (2,4)
Explanation:
One way to do this is by using the formula for a 270 degree rotation which is (x,y)---> (y,-x)
So, put in your coordinates for ABC and you'll get the prime A'B'C'.
Answer:
Amount of tea leaves required = 1100 lb
Step-by-step explanation:
Given that:-
Tea leaves yields 4.2 % of the tea upon drying.
It means that if 100 lb of the tea leaves are taken, it will yield 4.2 lb of the tea.
To calculate:-
Amount of the tea leaves required which must yield 46.2 lb of tea.
Let the amount of tea leaves = x lb
So, Amount of tea produced = 
lb = 46.2 lb
Thus,
<u>Amount of tea leaves required = 1100 lb</u>
