Answer:
x= -3
x= -5
Step-by-step explanation:
x^2 + 8x + 15 = 0
find which 2 numbers when multiplied equal 15 and when added equal 8
they are 3 and 5
(x+3)(x+5)
x+3 =0
x+5=0
x= -3
x= -5
Answer:
750 minutes
Step-by-step explanation:
Answer:
12x+4
Step-by-step explanation:
Answer:
The x-coordinate of the point changing at ¼cm/s
Step-by-step explanation:
Given
y = √(3 + x³)
Point (1,2)
Increment Rate = dy/dt = 3cm/s
To calculate how fast is the x-coordinate of the point changing at that instant?
First, we calculate dy/dx
if y = √(3 + x³)
dy/dx = 3x²/(2√(3 + x³))
At (x,y) = (1,2)
dy/dx = 3(1)²/(2√(3 + 1³))
dy/dx = 3/2√4
dy/dx = 3/(2*2)
dy/dx = ¾
Then we calculate dx/dt
dx/dt = dy/dt ÷ dy/dx
Where dy/dx = ¾ and dy/dt = 3
dx/dt = ¾ ÷ 3
dx/dt = ¾ * ⅓
dx/dt = ¼cm/s
The x-coordinate of the point changing at ¼cm/s
Answer:
slope of line is 3
y-intercept of line is -13
Explanation:
The general formula of the linear line is:
y = mx + c
where:
m is the slope of the line
c is the y-intercept
The given line is:
y = 3x - 13
Comparing the given line with the general formula, we would find that:
m (the slope of the line) is 3
c (the y-intercept) is -13
Hope this helps :)