we have
we know that
The absolute value has two solutions
Subtract both sides
Step 1
Find the first solution (Case positive)
Subtract both sides
Multiply by both sides
Step 2
Find the second solution (Case negative)
Adds both sides
<u>Statements</u>
<u>case A)</u> The equation will have no solutions
The statement is False
Because the equation has two solutions------> See the procedure
<u>case B)</u> A good first step for solving the equation is to subtract 0.5 from both sides of the equation
The statement is True -----> See the procedure
<u>case C)</u> A good first step for solving the equation is to split it into a positive case and a negative case
The statement is False -----> See the procedure
case D) The positive case of this equation is 0.5 – |x – 12| = 0.25
The statement is False
Because the positive case is -----> see the procedure
case E) The negative case of this equation is x – 12 = –0.75
The statement is True -----> see the procedure
<u>case F)</u> The equation will have only 1 solution
The statement is False
Because The equation has two solutions------> See the procedure
Given:
f(x) is an exponential function.
To find:
The value of f(0.5), to the nearest hundredth.
Solution:
The general exponential function is
For, x=-0.5,
...(i)
For, x=1.5,
...(ii)
Divide (ii) by (i).
Taking square root on both sides, we get
Putting b=0.882 in (i), we get
Now, the required function is
Putting x=0.5, we get
Therefore, the value of f(0.5) is 23.81.
It cannot be simplified:(
it is already in simplest form
Answer:
the answer is a. 147
Explaination:
A triangle always has a sum of 180°.
We already have the angle of two sides give.
10° and 23°
To find the last missing side, you add 10° and 23°, and minus the result from 180°.
10+23= 33
180-33 = 147
This how you answer these questions. Try Answering the other 4. you Should get
2a. X=10.9
2b. C=47/5 or 9.4
3a. X=32.6
3b. X=55.7
I hope these helped