Answer:
<em>Answer: x=2 (third option)</em>
Step-by-step explanation:
<u>Equation of a line</u>
Being m is the slope and (h,k) is a point through which the line passes, the point-slope form of the equation of a line is:
y - k = m ( x - h )
We have the function f passes through the point (-1,9) and has a slope of m=-3. The point-slope equation of the line is:
y - 9 = -3 ( x - (-1) )
Operating:
y - 9 = -3 ( x + 1 )
y - 9 = -3x - 3
Adding 9:
y = -3x + 6
To calculate the zero of the function we set y=0 and solve for x:
-3x + 6 = 0
Subtracting 6:
-3x = - 6
Dividing by -3
x = - 6 / ( - 3 )
x = 2
Answer: x=2 (third option)
Answer:
100
Step-by-step explanation:
10 times 10 is 100
Answer:
x = 0 x= -9
Step-by-step explanation:
x^2 + 18x = 9x
Subtract 9x from each side
x^2 + 18x-9x = 9x-9x
x^2 +9x = 0
Factor x from the left hand side
x(x+9) =0
Using the zero product property
x=0 x+9 = 0
x =0 x+9-9 = 0-9
x = 0 x= -9
Let the length be x and the width be y, then
2x + 2y = 56
x + y = 28 . . . (1)
x = 4 + 3y . . . (2)
Putting (2) into (1) gives
4 + 3y + y = 28
4y = 28 - 4 = 24
y = 24/4 = 6
x = 4 + 3(6) = 4 + 18 = 22
Therefore, length is 22 inches and width is 6 inches.
Answer:13/50
Step-by-step explanation: