Answer:
True
Step-by-step explanation:
Here, we want to check if the given equation does not intersect the x-axis
if it does not, then it has no real root
If the discriminant is less than zero, then it has no real roots and does not intersect the x-axis
The formula for the discriminant is;
D = b^2-4ac
In the question;
a = -1 , b = 6 , c = 10
so;
D = 6^2-4(-1)(10)
D = 36-40
D = -4
Since discriminant is less than zero, then there is no real root and the graph does not cross the x-axis
Answer:
to find the equivalent positive angle of a negative angle, just add 360 to it until it becomes positive and is between 0 and 360 degrees. -244 + 360 = 116.
Step-by-step explanation:
Hello! I can help you with this!
a. The function that would best represent Samantha's account is f(5) = 500(1 + 0.04)^5. This is because $500 is the principal, the interest rate is 4%, and we're looking for the amount in the savings account 5 years later.
b. Okay. 1 = 0.04 is 1.04. 1.04^5 is 1.216652902. It's a long decimal, but don't delete it. Multiply that decimal by 500 and you get 608.32645 and other numbers behind it or 608 when rounded to the nearest dollar. Samantha will have about $608 in her savings account in 5 years.
Note: The formula goes like this: f(x) = P(1 + r)^x. This means, you add 1 and the simple interest rate in decimal form together and raise that up by the exponent. There is no shortcuts for this, so you'll have to use the calculator. There will be a very long decimal, but don't clear it. Instead, multiply it by the principal to get the answer. It seems very complicating, but if you do this right, it gets easier overtime and you'll make less errors. There are more complex problems out there, so this formula is very important, but it was kept simple for this question.
Answer:
10 hours
Step-by-step explanation:
Two boats leave a port at the same time, one going north and the other traveling south.
<u>Southbound boat rate</u> = 40 mph
The northbound boat travels 18 mph faster than the southbound boat.
<u>Northbound boat rate</u> = 40 + 18 = 58 mph
Two boats rate = 40 + 58 = 98 mph (this means they are apart 98 km after one hour)
Total distance = 980 miles
Total rate = 98 mph
Time 
hours
Answer:
1 5/12 i think im sorry if i get it wrong.
Step-by-step explanation:
