For this case we have the following polynomial:
We make the following change of variables:
Rewriting we have
Factoring the second order polynomial we have:
Then, returning the change we have:
Finally, we factor the expression in the parentheses of the second term:
Answer:
the completely factored form is:
Answer:
28
Step-by-step explanation:
You want the smaller of the two factors of 896 that have the ratio 8:7.
<h3>Setup</h3>
Let x represent the smaller of the two factors (the one we want to find). Then the larger factor is (8/7)x, and their product is ...
x(8/7)x = 896
(8/7)x² = 896
<h3>Solution</h3>
Multiplying by the inverse of the coefficient of x², we have ...
x² = (7/8)(896) = 784
x = √784 = 28 . . . . . . . . take square root
The smaller of the two numbers is 28.
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<em>Additional comment</em>
The larger is (8/7)(28) = 32.
Answer:
A = 40/n
Therefore, she gave each friend 40/n ounces of jelly beans.
Step-by-step explanation:
Given;
Total amount of jelly beans To = 3 pounds = 3×16 ounces = 48 ounces
Total amount kept for family Ta = 8 ounces
Total amount given to friends = Ti
Number of friends = n
Amount given to each friend = A
Ti = To - Ta
A = Ti/n = (To-Ta)/n
A = (48 - 8)/n
A = 40/n
Therefore she gave each friend 40/n ounces of jelly beans.
Answer:
201.06
Step-by-step explanation:
A=πr2=π·82≈201.06193
Answer:
10.17 seconds
Step-by-step explanation:
substitute y=0 into the equation
0=-16x²+153x+98
then use the quadratic formula
a = -16
b= 153
c = 98
Substituting values into the Quadratic equation, you get (Round the values to the nearest hundreth):
x₁= 10.17
x₂= -0.60
