<span><span><span><span>−<span>x2</span></span>−<span>4x</span></span>+5</span>>0</span>
Let's find the critical points of the inequality.<span><span><span><span>
−<span>x2</span></span>−<span>4x</span></span>+5</span>=0</span><span><span><span>
(<span><span>−x</span>+1</span>)</span><span>(<span>x+5</span>)</span></span>=0</span>(Factor left side of equation)<span><span><span><span>
−x</span>+1</span>=<span><span><span>0<span> or </span></span>x</span>+5</span></span>=0</span>(Set factors equal to 0)<span><span>
x=<span><span>1<span> or </span></span>x</span></span>=<span>−5</span></span>
Check intervals in between critical points. (Test values in the intervals to see if they work.)<span>
x<<span>−5</span></span>(Doesn't work in original inequality)<span><span><span>
−5</span><x</span><1</span>(Works in original inequality)<span>
x>1</span>(Doesn't work in original inequality)
Answer: −5<x<1
1) .90x
2) (.50x)(1.5)
3) (.80x)(1.20)
Answer: x = 2921, y = 579
Step-by-Step Explanation:
I am assuming that we just have to Solve for ‘x’ and ‘y’.
‘x’ = No. Of Contemporary Titles
‘y’ = No. Of Classic Titles
=> x + y = 3500 (Eq. 1)
=> x - y = 2342 (Eq. 2)
Adding Eq. 1 and Eq. 2, we get :-
2x = 3500 + 2342
2x = 5842
x = 5842/2
=> x = 2921
Therefore, x = 2921
Substitute value of ‘x’ in Eq. 1 :-
x + y = 3500
(2921) + y = 3500
y = 3500 - 2921
=> y = 579
Therefore, y = 579
Hence,
No. Of Contemporary Titles = 2921
No. Of Classic Titles = 579
Hey there! :)
Answer:
g(3) = 11.
Step-by-step explanation:
Given g(x) = x² + 2
Plug '3' into 'x' to solve for g(3):
g(3) = (3)² + 2
g(3) = 9 + 2
g(3) = 11.
The solution of the logarithms equation is
Given
The following expression:
<h3>What properties for Logarithms are used to solve the equation?</h3>
The following properties are used in the logarithms equation given below.
According to the Power of a power property:
- Step 1: Apply the third property for logarithms shown above:
- Step 2: Apply the Power of a power property:
- Step 3: Using the property for Radicals;
Hence, the solution of the logarithms equation is .
To know more about logarithms properties click the link given below.
brainly.com/question/26053315