We are given the following:
Simplify the left side of the equation by using the distributive property. After you distribute, you end up with:
Combine like terms:
Subtract 7 from both sides to cancel the +7 on the left. When you do that, you end up with:
Divide both sides by 7 to isolate x.
Your final answer should be:
Answer:The ladder and the ground form a right triangle. Use the Pythagorean Theorem to find the other leg of the triangle.
Explanation Steps: a^2 + b^2 = c^2
a^2 + 4^2 = 15^2
a^2 + 16 = 225
a^2 = 209
a = 14.5 feet
X+15=8 Subtract 15 from both sides
x=8-15
x=-7
20 would be 20% of 100.
Just like 67.67 would be 67.67% of 100.
:)
RemarkThe very first thing you should do with a question like this is get the graph. Then you will know what you are looking for. I have provided you with such a graph. Your table should center around -2 ≤ x ≤ -1
So let's set up a table and see what we get. Start with y = x + 5
x x + 5
-1 4
-1.25 3.75
-1.5 3.5
-1.75 3.25
-2 3
Do the same thing for - (3)^x + 4 See below to see how this is entered your calculator
x -(3)^x + 4
-1 3.66
-1.25 3.75
-1.5 3.8
-1.75 3.85
-2 3.89
ConclusionWhen x = - 1.25 y = 3.75 for both graphs. <<<< Answer
FootnoteYou may not be familiar with how to put this in your calculator. This is the way I would do it. I'm only doing it for y = -(3^x) + 4
Let x = - 1.25
3
^ Note your calculator might have x^y or y^x. You'll have 1 of the three.
1.25
+/-
=
X
1
+/-
= At this point you should have -0.25
+
4
=
That gives you 3.75
