<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
Answer:
x=3 and N is the mid-point.
Okay, so if N is the mid-point.
E D=15
E N=4 x -1
N D=4+ 2 x
6 x -3=15
Now get the 6 x by itself, so move the 3 over
So it would be: 6 x =18
So that would be 6 divided by 6 is x and then 18 divided by 6 equals 3
So, X equals 3
Answer:
1200 cm
Step-by-step explanation:
triangle = 1/2bh
1/2(50)20= 500
1/2 (50) 20= 500
1/2(10)20 = 100
1/2 (10)20= 100
then you add them all which gives you 1200
Answer:
The fraction of chores which Janie wants to earn enough money to buy a CD for $13.50 are 8.75~9 chores
Step-by-step explanation:
Given that Janie has $3. She earns $1.20 for each chore she does and can do fractions of chores. She wants to earn enough money to buy a CD for $13.50.
we have to find the fraction of chores Janie did to earn total of $13.50
Let the fraction of chores is x which Janie wants to earn enough money to buy a CD for $13.50.
Total money=$3+$1.20(fraction of chores)
$13.50=$3+$1.20(x)
$13.50-$3=$1.20(x)
x=8.75~9
Hence, the fraction of chores which Janie wants to earn enough money to buy a CD for $13.50 are 8.75~9 chores
Answer:
13q
Step-by-step explanation:
q is the same as 1q
1q + 12q = 13q
