Answer: 
Step-by-step explanation:
We know that the standard quadratic equation is ax^2+bx+c=0
Let's compare all the given equation to it and , find discriminant.
1. a=2, b= -7, c=-9
So it has 2 real number solutions.
2. a=1, b=-4, c=4
So it has only 1 real number solution.
3. a=4, b=-3, c=-1
So it has 2 real number solutions.
4. a=1, b=-2, c=-8
So it has 2 real number solutions.
5. a=3, b=5, c=3
Thus it does not has real solutions.
Answer:
128 times
Step-by-step explanation:
Total cups = volume per meal × no. of meals
C = V × n
Divide each side by V
n = C/V = 48/(⅜)
Invert the fraction and multiply
n = 48 × ⁸/₃
Cancel 3s
n = 16 × 8
Multiply
n = 128
Ryan can eat pancakes 128 times from his giant bottle without running out of syrup.
The early withdrawal fee on this account is $6.25
Step-by-step explanation:
Suppose you buy a CD for $1000
- It earns 2.5% APR and is compounded quarterly
- The CD matures in 5 years
- Assume that if funds are withdrawn before the CD matures, the early withdrawal fee is 3 months' interest
We need to find the early withdrawal fee on this account
∵ The annual interest is 2.5%
- Change it to decimal
∵ 2.5% = 2.5 ÷ 100 = 0.025
∴ The annual interest rate is 0.025
∵ The interest is compounded quarterly
∴ The interest rate per quarter = 0.025 ÷ 4 = 0.00625
∵ The early withdrawal fee is 3 months' interest
∵ You buy the CD for $1000
∵ A quarter year = 3 months
∴ The early withdrawal fee = 1000 × 0.00625 = $6.25
The early withdrawal fee on this account is $6.25
Learn more:
You can learn more about the interest in brainly.com/question/11149751
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Answer:
<h2>x = 2</h2>
Step-by-step explanation:
2x + 6 = 6 + 2x
4 + 6 = 6 + 4
10 = 10
4/5x - 4/10 = 2/20...multiply everything by common denominator 20
16x - 8 = 2
16x = 2 + 8
16x = 10
x = 10/16 which reduces to 5/8 <=
