If one of our zeros is 4, then the factor is x-4. If the second zero is 5i, then the conjugate root theorem says there HAS to be a root that is -5i. So our 3 factors are (x-4)(x+5i)(x-5i). We will FOIL out these factors to get the polynomial. Let's start with the ones that contain the imaginary numbers. Doing that mutliplication we get x^2-25i^2. i^2 is equal to -1, so what that expression simplifies down to is
. Now we will multiply in that last factor of (x-4):
. FOILing out we have
. There you go!
Answer:
$200
Step-by-step explanation:
To find Jeff's net worth, we will deduct all his debts (liabilities) from his assets (his properties).
ASSETS
Savings Account - $6000
Investments - $15000
Guitar - $1000
TOTAL - $22000
LIABILITIES
Student loans - $17000
Credit Card Debt - $1200
Outstanding car payment - $3600
TOTAL - $21800
NET WORTH = Assets - Liabilities
NW = $22000 - $21800
NW = $200
His net worth is $200.
Answer:
A= (0,0) and B = (6,3)
We can find the length AB with the following formula:
And replacing we got:
So then the length AB would be
Step-by-step explanation:
For this case we have the following two points:
A= (0,0) and B = (6,3)
We can find the length AB with the following formula:
And replacing we got:
So then the length AB would be
Yeah I’m gonna start answering it tomorrow but we are having dinner with the family have a fantastic weekend papa bless peace and love to all
Answer:
a)90 square inches
b)104 cubic inches
Step-by-step explanation:
Dimensions of the bigger box
W= 8 in
H=11 in
D= 3 in
Dimensions of the smaller box
w= 6 in
h= 10 in
h= 2.5 in
therefore, difference in the area of the cupboard
=2[ WH+HD+WD] - 2[wh+hd+wd]
= 2[8*11+11*3+8*3]- 2[6*10+10*2.5+6*2.5]
=290- 200= 90 square inches
volume of the large cupboard = WHD= 8*11*3= 264 cubic in
volume of the small cupboard= whd= 6*10*2.5= 150 cubic in
therefore, 264-150= 114 cubic in more cereal does the large box hold than the small box