Answer:
its 21
Step-by-step explanation:
Answer:100,000
Step-by-step explanation:
There are no numbers on the graph, so we cannot tell for sure the value of f(3).
If the grid squares are each one unit, then the graph of f(x) appears to go through the grid point (3, -1). This means f(3) = -1.
Using this value in the expression for g(x), we have
.. g(3) = -4*f(3) +7
.. g(3) = -4*(-1) +7
.. = 4 +7
.. = 11
The value of g(3) is 11.
Remark
When you have two parallel lines cutting the sides of a triangle and one of them is the base of the triangle, then the 2 sides cut form a proportion. The safest way to handle this is to set up the proportion so that you are talking about sides of similar triangles..
Givens
BD || AE
CD = 16
CE = 16 + 4
CB = 12
CA = 12 + x
Set Up the Proportion
CD/CE = CB / CA
Substitute and Solve
16/20 = 12/(12 + x) Cross multiply
16*(12 + x) = 20 * 12 Combine the right
16*(12 + x) = 240 Remove the brackets.
192 + 16x = 240 Subtract 192 from both sides.
16x = 240 - 192
16x = 48 Divide by 16
x = 48 / 16
x = 3