Answer:
The general equation for a line (written in the slope-intersect form) is:
y = f(x) = a*x + b
Such that the line is already written in function notation.
Where a is the slope, and b is the y-intersect.
If a line passes through a point (x₁, y₁) and (x₂, y₂), the slope can be written as:
y = (y₂ - y₁)/(x₂ - x₁)
We know that the line in the graph passes through the points:
(-2, -1) and (2, 0)
Then the slope of the line will be:
a = (0 - (-1))/(2 - (-2)) = 1/4
Then the function for the line will be something like:
y = f(x) = (1/4)*x + b
Now we want to find the value of b.
Because we know that this function passes through the point (2, 0), this means that:
f(2) = 0 = (1/4)*2 + b
We can solve that for b:
0 = 2/4 + b
-2/4 = b
Then the function for the line is:
y = f(x) = (1/4)*x - 2/4
C(h)=80h+210
80h+210=490 subtract 210 from both sides
80h=280 divide both sides by 80
h=3.5 hours
Answer:
0
Step-by-step explanation:
Answer:
mine is creed for
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
If there is a solution between x = 1.1 and x = 1.2 then there will be a change in sign when the equation is evaluated at the points, indicating the graph has crossed the x- axis, where the solution lies.
Given
x³ + 4x = 6 ( subtract 6 from both sides )
x³ + 4x - 6 = 0 ← in standard form
Evaluating for x = 1.1
(1.1)³ + 4(1.1) - 6
= 1.331 + 4.4 - 6 = - 0.269 ← < 0
Evaluating for x = 1.2
(1.2)³ + 4(1.2) - 6
= 1.728 + 4.8 - 6 = 0.528 ← > 0
Since there is a change in sign the graph has crossed the x-axis from below / indicating a solution between x = 1.1 and x = 1.2
