Answer:
<h3>
It can be concluded that this polynomial has a degree of 2, so the equation x²+x−12=0 has exactly two root</h3>
Step-by-step explanation:
Given the quadratic polynomial x²+x−12, the highest power in the quadratic polynomial gives its degree. The degree of this quadratic polynomial is therefore 2. <u>This means that the equation has exactly two solutions. </u>
Let us determine the nature of the roots by factorizing the quadratic polynomial and finding the roots.
x²+x−12 = 0
x²+4x-3x−12 = 0
= (x²+4x)-(3x−12) = 0
= x(x+4)-3(x+4) = 0
= (x-3)(x+4) = 0
x-3 = 0 and x+4 = 0
x = 3 and -4
This shows that the quadratic polynomial has <u>two real roots</u>
<u>It can be concluded that this polynomial has a degree of 2, so the equation x²+x−12=0 has exactly two roots</u>
40 + 30s = 220
30 for each student (s) and the one charge of 40 would get the tutor 220 dollars.
Answer:
she is wrong, offer 2 results in lower interests
Step-by-step explanation:
total amount paid if offer 1 is accepted:
$6,000 x (1 + 3%)² = $6,000 x 1.0609 = $6,365.40
she will pay $365.40 in interests
total amount paid if offer 2 is accepted:
($6,000 x 1.01) x 1.05 = $6,060 x 1.05 = $6,363
she will pay $363 in interests
Compounding interest refers to interest that earns more interest itself, e.g. in the first offer, the $180 of interests charged for the first year will earn $5.40 in extra interests. While offer 2 only charges $60 in interests during the first year which will in turn earn $3 of interests. The difference between both offers is that interest charges in offer 1 earn more interests than the interest in offer 2 = $5.40 - $3 = $2.40
Answer:
Option C is correct
P(A or B) = 0.65
Step-by-step explanation:
<u>Given:
</u>
P(A) =0.5
P(B)=0.30
P(A and B) =0.15
( The probability of the happening of both independent events will be there product) P( A and B ) =P(A).P(B)
<u>Solution:</u>
To find the probability of the Happening of event A either event B we will use the following formula
P(A or B) = P(A) + P(B)-P(A and B)
= 0.5 + 0.3 - 0.15
=0.65
