Answer:
The first term is 3. The common difference is 2.
Step-by-step explanation:
The first term is x.
The common difference is d.
The second term is x + d.
3rd term: x + 2d
4th term: x + 3d
7th term: x + 6d
"The fourth term of an Arithmetic Sequence is equal to 3 times the first term"
x + 3d = 3 * x Eq. 1
"the seventh term exceeds twice the third term by 1"
x + 6d = 2(x + 2d) + 1 Eq. 2
Simplify Eq. 1:
2x = 3d
Simplify Eq. 2:
x + 6d = 2x + 4d + 1
x = 2d - 1
Multiply both sides of the last equation by 2.
2x = 4d - 2
2x = 3d (simplified Eq. 1)
Since 2x = 2x, then the right sides are equal.
3d = 4d - 2
d = 2
2x = 3d
2x = 3(2)
2x = 6
x = 3
Answer: The first term is 3. The common difference is 2.
Answer:
1. 100 1. 150 1. 1
2.45 2. 800
Step-by-step explanation:
1. 25% * 400 = 0.25 * 400 = 
* 400 = 100
2. 50% * 90 = 45
1. 75% * 200 = 0.75 * 200 = 3/4 * 200 = 150
2. 10% * 8000 = 0.1 * 8000 = 800
1. 5% * 20 = 0.05 * 20 = 1
Question is not well presented
The parabola y=x² is scaled vertically by a factor of 1/10.
What is the equation of the new parabola?
Answer:
The equation of the new parabola is 0.1x²
Step-by-step explanation:
Given
Parabola: y = x²
Scale = 1/10 = 0.1
The interpretation of this question is that; there's a need to scale the graph in ratio 1:10.
I.e; 1 unit on the parabola is being represented by 10 unit on the scale
So, x (on the new parabola) = 1/10 of old x.
So, the new equation of the parabola = 1/10x²
New equation = 0.1x²
Hence, the equation of the new parabola is calculated as 0.1x²
1.5 = 1 1/2 = 3/2
When there is a negative exponent, you find the reciprocal of the base, so therefore: 3/2 ^ -2 = 2/3 ^ 2
Then you square the numerator, then square the denominator: 2^2/3^2 = 4/9
I figured it out, the answer is X = -52/5
