Answer: -2, 2
Step-by-step explanation:
0 = 5x^2 -20
0 = 5(x^2 -4)
0 = 5(x - 2)(x + 2)
0 = x - 2
2 = x
0 = x + 2
-2 = x
Answer:
y=-2x + 8 which is the required equation
Which is option C
Step-by-step explanation:
Given:
Slope = m = -2
Given points are ( -2,12)
Which is
x = -2 and y =12
TO find:
Equation of line passing through these points = ?
Solution:
The point slope form of a line is
y = mx + c
Here we don't know the value of c
To find it
Putting y = 12 , x= -2 and y = -2 in the given equation
y = mx + c
Putting values it becomes
12 = (-2)*(-2) + c
12 = 4 + c
Subtracting 4 from both sides
12-4 = 4 -4 + c
8 = c
Now we have
m = -2 and c= 8
So equation of a line is given by
y = mx + c
Putting value of m and c
y = -2*x + 8
y=-2x + 8 which is the required equation
Answer:
A.) 15
B.) 1 year
C.) $50
D.) 1.5%
Step-by-step explanation:
The percentage equation goes thus:
Interest earned = principal * rate * time
A)
Principal: $100 Interest rate: 5% Time in years: 3 Interest earned
Interest earned = $100 * 0.05 * 3
Interest earned = $15
B.)
Principa;" $500 Interest rate: 4% Time in years: interest earned: $20
Interest earned = principal * rate * time
20 = 500 * 0.04 * time
20 = 20 * time
Time = 20 / 20 = 1
Time = 1 year
C.)
Principal: Interest rate:10% Time in years: 7 Interest earned:$35
Interest earned = principal * rate * time
$35 = principal * 0.1 * 7
$35 = principal * 0.7
Principal = $35 / 0.7
Principal = $50
D.)
Principal: $200 Interest rate: Time in years:2 Interest earned: $6
Interest earned = principal * rate * time
$6 = $200 * rate * 2
$6 = $400 * rate
Rate = $6/$400
Rate = 0.015 = 1.5%
The rate is 8.17 meters per second
Further explanation:
In order to find the rate we have to divide the distance covered by the woman by the time she covered it in.
Given
The rate is 8.17 meters per second
Keywords: Speed, distance
Learn more about speed at:
#LearnwithBrainly
<span>No.
To check this yourself, you need the denominators to be the same to be able to easily compare the two.
For example, does 5/8 = 40/64?
1. Determine what you would need to do to the denominator in 5/8 to make it 64. (Multiply it by 8)
2. Find what fraction is equal to 1 with a denominator of 8. (8/8)
3. Multiply the fraction 5/8 by the one you just found (8/8), numerator times numerator, denominator times denominator.
4. Compare the answer with the second fraction.
It is important that when you multiply the denominator by any number you multiply the numerator by the same number. This is to preserve the fraction's value. This works because any number divided by itself is equal to 1, AND when you multiply any number by 1 (whether 1 is in the form of 1 or 4/4 or 8/8 or 234/234), the answer is always equal to the original number.
Another way to check would be to simply enter 1/2 into a calculator, write down the answer. Next enter 5/8 into a calculator. If the answers are the same, they are equal.</span><span>
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