The logic is there are six sides to each die, so for each number on one die you can pair with six different numbers on the other die. Therefore, the probability of rolling a prime number on two dice is 15/36, which reduces to 5/12.
The first given equation is:
4x + 3y = 6
which can be rewritten as:
2(2x) + 3y = 6 .............> equation I
The second given equation is:
2x + 2y = 5
which can be rewritten as:
2x = 5 - 2y ........> equation II
Substitute with equation II in equation I to get the value of y as follows:
2(5-2y) + 3y = 6
10 - 4y + 3y = 6
-y = 6-10 = -4
y = 4
Substitute with the y in equation II to get x as follows:
2x = 5 - 2y
2x = 5 - 2(4)
2x = 5 - 8 = -3
x = -3/2
From the above calculations:
x = -3/2
y = 4
Answer:
The Domain of the graph is all real numbers less than or equal to 0.
Answer:
Amount =$48003.20
Here apply the compound interest formula;
where;
P=Principal amount invested = $37500
r=rate of interest as a decimal, 2.5% =0.025
n=number of compounding per year=1
t=time period the amount in invested=10
In our case, the amount after investing will be;
Interest earned after the period= $48003.20-$37500 =$10503.20
Answer:
The graph of f(x) has exactly one x-intercept.
Step-by-step explanation:
Teacher told me the answer after I answered it wrong.