Answer:
A. Discriminant = 116
B. Number of solutions for the quadratic equation = 2
C. Type of solutions (circle one):Imaginary
D. Type of solutions (circle one):irrational
Step-by-step explanation:
The given quadratic equation is
We rewrite in standard form to get;
The discriminant is
where a=1, b=8, c=-13
We substitute to get:
Since the discriminant is great than zero, we have two distinct real roots
Answer:
A. Because the sample size is very large.
Step-by-step explanation:
The sample is quite large, so the t test is safe. With a sample size of at least 100, this test is going to be safe.
So the correct answer is:
A. Because the sample size is very large.
Answer:
first and last one
Step-by-step explanation:
first one would be 12 and last one is 10
Answer:yes
Step-by-step explanation:
It's because both ways means the same due to the presence of positive sign.if the signs changed,it means that they are not the same
Answer:
$3000.
Step-by-step explanation:
Suppose the amount invested at 7% is $X and the amount invested at 10% is $Y (assuming that the college student invested all his/her income on the two schemes). Therefore:
X + Y = 8200 (The sum of investments is basically the total income).
0.07X + 0.1Y = 664 (The sum of the interest received from the invested amounts is actually the total return).
Now solving these 2 simultaneous equations:
x + y = 8200 (Equation 1)
7x + 10y = 66400 (Equation 2)
From (Equation 1):
x = 8200 - y (Equation 3)
Put (Equation 3) in (Equation 2):
7(8200 - y) + 10y = 66400.
57400 - 7y + 10y = 66400.
3y = 9000
y = 3000.
$Y is the amount invested at 10%, therefore the final answer is $3000!!!
