Answer:
Step-by-step explanation:
solve each inequality:
A : x+6<8 , x<-8-6 , x<-14
B: x+4≥-6 , x≥-10
C: x-3>-10 , x>-7
D:x≤-9
since -12 is on the left side of the number line then x≤ -9 would be the solution
Answer:
f=
x2−2x+1
x3+2x2+x
Step-by-step explanation:
Let's solve for f.
fx=
(1−x)2
(1+x)2
Step 1: Multiply both sides by x^2+2x+1.
fx3+2fx2+fx=x2−2x+1
Step 2: Factor out variable f.
f(x3+2x2+x)=x2−2x+1
Step 3: Divide both sides by x^3+2x^2+x.
f(x3+2x2+x)
x3+2x2+x
=
x2−2x+1
x3+2x2+x
f=
x2−2x+1
x3+2x2+x
Answer:
Step-by-step explanation:
Say we are testing 100 people
we test 100 times
80 of the 100 tests result in 5 people having the disease.
so 5 people of 80 of 100 test have this disease
therefore, 5/80/100
.065
Answer:
5/6
Step-by-step explanation:
<h3><u>Answer:</u></h3>
- First term = 6
- Common difference= 4
<h3><u>Solution</u><u>:</u></h3>
Let's take the first term as <u>a</u> and the common difference be <u>d</u>
The formula to find the nth term of an arithmetic progression is given by :
<u>According to question, we have :</u>
- 16th term of an AP is three times the 5th term.
➝ a16 = 3 ( a5 )
➝ a + ( 16 - 1 )d = 3 ( a + ( 5 - 1 )d )
➝ a + 15d = 3 ( a + 4d )
➝ a + 15d = 3a + 12d
➝ 15d - 12d = 3a - a
➝ 3d = 2a
➝ 2a = 3d
➝ <u>a = 3d/2</u><u></u>ㅤㅤㅤ⸻ ( 1 )
- And, the 12th term is 20 more the 7th term.
➝ a12 - ( a7 ) = 20
➝ a + ( n - 1 )d -( a + ( n - 1 )d ) = 20
➝ a + ( 12 - 1 )d - + a + ( 7 - 1 )d ) = 20
➝ a + 11d - ( a + 6d ) = 20
➝ a - a + 11d - 6d = 20
➝ 5d = 20
➝ d = 20/ 5
➝<u> d = 4</u>
- <u>Using</u><u> equation</u><u> (</u><u> </u><u>1</u><u> </u><u>)</u>
➝ a = 3d / 2
➝ a = ( 3 × 4 ) / 2
➝ a = 12 / 2
➝<u> a = 6</u>
