Answer:
x = -8 and x = 4
Step-by-step explanation:
given
f(x) = (x+8) (x - 4)
recall that at any point on the x-axis, y = 0 [i.e f(x) = 0]
hence to find where the graph crosses the x-axis, we simply substitue f(x) = 0 into the equation and solve for x
f(x) = (x+8) (x - 4)
0 = (x+8) (x - 4)
Hence
either,
(x+8) = 0 ----> x = -8 (first crossing point)
or
(x-4) = 0 ------> x = 4 (second crossing point)
Hence the graph crosses the x-axis at x = -8 and x = 4
You would move all terms that don’t contain x to the right side and solve. Answer : x= -3
Answer:
m = -5/2
Step-by-step explanation:
Solve for slope with the following equation:
<em>m </em>(slope) = (y₂ - y₁)/(x₂ - x₁)
Let:
(4 , -12) = (x₁ , y₁)
(-2 , 3) = (x₂ , y₂)
Plug in the corresponding numbers to the corresponding variables:
<em>m </em>= (3 - (-12))/(-2 - 4)
<em>m</em> = (3 + 12)/(-2 - 4)
<em>m </em>= (15)/(-6)
Simplify the slope:
<em>m</em> = -(15/6) = -5/2
-5/2 is your slope.
~
Answer: a plumber earns $50 each day and a helper earns $30 each day.
Step-by-step explanation:
Let x represent the amount that a plumber earns in a day.
Let y represent the amount that a helper earns in a day.
One day, four plumbers and five helpers earned $350. This means that
4x + 5y = 350 - - - - - - - - - - -1
At the same rate of pay, another group of five plumbers and six helpers earned $430. This means that
5x + 6y = 430 - - - - - - - - - - - - 2
Multiplying equation 1 by 5 and equation 2 by 4, it becomes
20x + 25y = 1750
20x + 24y = 1720
Subtracting, it becomes
y = 30
Substituting y = 30 into equation 1, it becomes
4x + 5 × 30 = 350
4x + 150 = 350
4x = 350 - 150
4x = 200
x = 200/4 = 50
Answer:
Remember The distance, speed, time triangle
Step-by-step explanation:
Formula is
Speed x time=distance
Distance divided by speed=time
distance divided by time=speed
