Answer:
Table B represents a linear function.
Step-by-step explanation:
Table B is a linear function because y goes up by a constant, steady rate of 4 every time x goes up by one.
Answer:
Step-by-step explanation:
f(x) = (x + 2)(x +6)
1) The function is positive for all real values of x where x > –4 :
COUNTER-EXAMPLE : x = - 3 you have -3>-4 but (-3+2)(-3+6) = -1 ×3 =-3 no positive .
2) The function is positive for all real values of x where
x < –6 or x > –3.
COUNTER-EXAMPLE : x = - 2.5 you have -2.5>-3 but (-2.5+2)(-2.5+6) = -0.5 ×3.5 =-1.75 no positive .
same method for the statement : "The function is negative for all real values of x where
x < –2."
conclusion : statement about the function is true: "The function is negative for all real values of x where
–6 < x < –2."
.
The area of a rectangle is equal L x W
4 cm longer than it is wide L = 4 + <span>W
</span>
L x W = 117 we replace L here
(4 + <span>W ) x W = 117
</span>
4W + W ^2 = 117
<span>4W + W ^2 -117 = 0
</span>W ^2 +4 W -117 = 0
W² + 4W - 117 = 0
<span>
THEN u want to use the </span>use the quadratic formula
OR Factoring gives us
(W + 13)(W - 9) = 0
W = -13 or 9
But it can't be negative, so
W = 9 and L= 9+4 = 13
To find the y intercept using the equation of the line, plug in 0 for the x variable and solve for y. If the equation is written in the slope-intercept form, plug in the slope and the x and y coordinates for a point on the line to solve y. Hope this helped! :)
