Answer:
x > 7
Step-by-step explanation:
Given
x - 7 greater than 0
Required
Solve as inequality and represent as a graph
greater than is represented with >
So, the equation is:
x - 7 > 0
Add 7 to both sides
x - 7 + 7 > 0 + 7
x > 0 + 7
x > 7
Next, the inequality is represented on a graph.
See attachment for graph
The shaded part of the graph represents the solution to the graph.
Let
x--------> the time in hours
y-------> the distance in miles
we know that
The speed is equal to
in this problem
<u>Equation First Train</u>
<u>Equation Second Train</u>
---------> equation
Substitute the values of and
in the equation
Solve for x
therefore
<u>the answer is</u>
A line segment can be divided into ratios.
<em>The coordinate of P on line segment AB is (5,1)</em>
Given
The position of P from A to B is:
So, from P to B would be:
So, the ratio is:
Simplify
<u>The coordinate of point P is:</u>
So, we have:
<em>Hence, the coordinate of P is (5,1)</em>
Read more about line ratios at:
Answer:
The equation of the new function is
Step-by-step explanation:
Suppose we have a function f(x).
a*f(x), a > 1, is vertically stretching f(x) a units. Otherwise, if a < 1, we are vertically compressing f(x) by a units.
f(x - a) is shifting f(x) a units to the right.
f(x + a) is shifting f(x) a units to the left
In this question:
Vertically compressing by 1/2:
This is the same as multiplying the function by 1/2. So
The equation of the new function is