Answer:
Step 3, because the solution should also include all the values for x between the two given values
Step-by-step explanation:
step 1
we have
step 2
The graph in the given problem
step 3
Identify the solution when
so
using a graphing tool
The solution is the interval -----> [3,5]
see the attached figure
All real numbers greater than or equal to 3 and less than or equal to 5
therefore
The first step in which the student made an error is step 3
Answer:
B
Step-by-step explanation:
The correct answer is to go 4 units right (the direction is opposite to the sign) and 3 units up. The up and down direction is the same number as after the function.
Red: Parent Function y = ln(x)
Blue: 4 units right. 3 units up.
Answer: B
Answer:
or 2.738
Step-by-step explanation:
Let’s just look at the triangle on the top with the on the top and x on the bottom. (Basically the top half to the equilateral triangle)
There is a small square in the bottom right corner, which indicates that this triangle is a right triangle. This means that we can use the Pythagorean Theorem:
We know that \sqrt{10} is our hypotenuse, and therefore our c in our equation. Let’s say that x=a in our equation. Therefore we are left to find b. However, b is half the length of the side of the original equilateral triangle. An equilateral triangle means that all three sides are the same length. Therefore our side would also be \sqrt{10} units long. However we know that b is half of that value, so b= or
Plugging these values into the equation:
x^2+ (\frac{\sqrt{10} }{2})^{2}=\sqrt{10} ^{2}
This approximately equals 2.738