Using linear function concepts, it is found that the slope of a line parallel to the line whose equation is y - x = 5 is of 1.
A linear function is modeled by:
y = mx + b
In which:
In this problem, we want a parallel line to y - x = 5. In slope-intercept format, the equation is:
y = x + 5.
The slope is of m = 1, hence the parallel line also has slope of 1.
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For this case we have the following function:
We rewrite the function making distributive property.
We have then:
To find the vertex of the function, we derive:
We equal zero and clear the value of x:
We evaluate the function for the value of x obtained:
Then, the vertice of the parabola is:
Answer:
the vertex of the quadratic function f(x)=(x-6)(x+2) is:
b. horizontal bar graph.
c. line graph.
d. moving bar chart.
P = 2L + 2W
Answer:
The answer is
Step-by-step explanation:
In order to solve for L, we have to free the L variable.
Mathematically, we have to subtract, add, multiply or divide the same terms from each side of the equation. In that way, we can change the equation and free a variable.
Therefore, we have to subtract 2*W term, and then we have to divide by 2.
So,
Finally, the expression for L is
Answer:
-3/2
Step-by-step explanation:
(5a + 3) / (a^2 - 1) when a = -3, substitute all values of "a" for -3:
(5(-3) + 3) / ((-3)^2 - 1)
(-15 + 3) / (9 - 1)
(-12) / (8)
Simplify:
- 3/2