Answer: B (slope and y-intercept)
Step-by-step explanation:
They charge $0.10 per meter, so that would be represented as y=0.10x. There is an additional fee of $25 which is the +25. The full equation is y=0.10x+25.
0.10x is the slope, and 25 is the y-intercept. Hope this helps!
Answer:
1. Option C is correct
2. Option A is correct
3. Option C is correct
4. Option B is correct
5. Option D is correct
Step-by-step explanation:
1. x^2-3x-18/x+3
Factorize the numerator
x^2-6x+3x-18/x+3
x(x-6)+3(x-6)/x+3
(x+3)(x-6)/x+3
x-6
x-6 where x≠6
Option C is correct.
2. x-2/x^2+4x-12
Factorizing the denominator
x-2/x^2+6x-2x-12
x-2/x(x+6)-2(x+6)
x-2/(x-2)(x+6)
1/x+6
1/x+6 where x≠-6
Option A is correct.
3. 5x^3/7 x^3+x^4
5x^3/7x^3+x^4
5x^3/x^3(7+x)
5/7+x
Option C is correct
5/7+x where x≠-7
4. Simplify x/6x-x^2
x/6x-x^2
x/x(6-x)
1/6-x
Option B is correct
1/6-x where x≠6
5. 2/3a * 2/a^2
Multiplying both terms
4/3a^3
Option D is correct.
4/3a^3 where a≠0
Answer:
Original Value= $361.21
Step-by-step explanation:
Giving the following information:
The value of the savings bond increases by 3% each year. One year after it was purchased, the value of the savings bond was $515.
<u>To calculate the original value of the bond, we need to use the following formula:</u>
OV= PV/(1+i)^n
OV= original value
PV= present value
i= increase rate
n= number of months
OV= 515 / (1,03^12)
OV= $361.21
Answer:
1. x = +/- 2
- 7
2. x = 
+/- 
3. n = 
+/- 
Step-by-step explanation:
1. Divide both sides by 2: (x + 7)^2 = 8
Square root both sides: x + 7 = +/- 2
Subtract 7 from both sides: x = +/- 2 - 7
2. Square root both sides: x - 3 = 
Since there is a negative inside the radical, we need to have an imaginary number: 
. So, 
Add 3 to both sides: x = +/-
3. Divide by -5 from both sides: (n - 2)^2 = -2
Square root both sides: n - 2 = 
Again, we have to use i: 
Add 2 to both sides: n = +/-
Hope this helps!
Answer:
3
Step-by-step explanation:
In a 30-60-90 triangle, the ratio of the shorter side to the longer side length is 
. Therefore:
Hope this helps!
