Answer:
terrence will have to play 2900
Step-by-step explanation:
80% * 14500
14500-11600
2900
80% of 14500 = 11600
14500-11600=2900
He needs to save 2900 a month
2) x²+10x+21=0
3) x²+8x+15=0
4) x²+9x+14=0
5) x²-2x35=0
Answer:
Step-by-step explanation:
To solve these quadratic equations by factoring, you need to find two numbers that multiply to the constant term (the number without x^2) and add up to the coefficient of the linear term (the number with x). Here are the solutions for each of the equations:
1. x² + 5x + 6 = 0
We need two numbers that multiply to 6 and add up to 5. The numbers are 2 and 3.
So, we can factor the equation as (x + 2)(x + 3) = 0.
Now, set each factor equal to zero and solve for x:
x + 2 = 0 => x = -2
x + 3 = 0 => x = -3
So, the solutions are x = -2 and x = -3.
2. x² + 10x + 21 = 0
We need two numbers that multiply to 21 and add up to 10. The numbers are 7 and 3.
So, we can factor the equation as (x + 7)(x + 3) = 0.
Now, set each factor equal to zero and solve for x:
x + 7 = 0 => x = -7
x + 3 = 0 => x = -3
So, the solutions are x = -7 and x = -3.
3. x² + 8x + 15 = 0
We need two numbers that multiply to 15 and add up to 8. The numbers are 5 and 3.
So, we can factor the equation as (x + 5)(x + 3) = 0.
Now, set each factor equal to zero and solve for x:
x + 5 = 0 => x = -5
x + 3 = 0 => x = -3
So, the solutions are x = -5 and x = -3.
4. x² + 9x + 14 = 0
We need two numbers that multiply to 14 and add up to 9. The numbers are 7 and 2.
So, we can factor the equation as (x + 7)(x + 2) = 0.
Now, set each factor equal to zero and solve for x:
x + 7 = 0 => x = -7
x + 2 = 0 => x = -2
So, the solutions are x = -7 and x = -2.
5. x² - 2x - 35 = 0
To factor this equation, we need two numbers that multiply to -35 and add up to -2. The numbers are -7 and 5.
So, we can factor the equation as (x - 7)(x + 5) = 0.
Now, set each factor equal to zero and solve for x:
x - 7 = 0 => x = 7
x + 5 = 0 => x = -5
So, the solutions are x = 7 and x = -5.
Answer:
A EDGE 2021!
Step-by-step explanation:
log(x–4)+log(x+3)=2logx
Answer:
The painter spent 26 hours painting the house.
Step-by-step explanation:
If the painter charged $ 950 for painting a house, and he charges $ 35 per hour plus $ 40 for the ladder rental, in order to determine how many hours of work it took to paint the house, we must make the following calculation:
950 (total charge) - 40 (ladder rental) = Total work charge
910 (total charge per work) / 35 (charge per hour) = Total hours of work
910 / 35 = 26
It took 26 hours to the painter for painting the entire house.
Answer:
The midpoint is ( 1,4)
Step-by-step explanation:
To find the x coordinate of the midpoint add the x coordinates of the endpoint and divide by 2
( 7+-5)/2 = 2/2 =1
To find the y coordinate of the midpoint add the y coordinates of the endpoint and divide by 2
( 3+5)/2 = 8/2 =4
The midpoint is ( 1,4)