Answer:
x = 3
Step-by-step explanation:
Given
x - 4 = - 2
Multiply through by 3 to clear the fraction
2x - 12 = - 6 ( add 12 to both sides )
2x = 6 ( divide both sides by 2 )
x = 3
Answer:
A. A(n) = 150 • (0.74)^n–1 ; 33.29 cm
Step-by-step explanation:
This is a geometric sequence.
a%5B1%5D=1.5m=150cm, r=0.74
The formula is
a%5Bn%5D=a%5B1%5Dr%5E%28n-1%29
Just substitute a1 = 150cm and r = 0.74
a%5Bn%5D=150%280.74%29%5E%28n-1%29
That's the rule.
For the second part, substitute n = 6
cm.
Answer:

Step-by-step explanation:
We want to simplify:

We convert to improper fraction to get:

We now deal with the parenthesis by multiplying with the reciprocal of 2.

This gives:

We multiply to get:

This simplfies to:

We write as mixed number

Answer:
w = 2
Step-by-step explanation:
2(4w - 1) = -10(w - 3) + 4
8w - 2 = -10w + 30 + 4
8w - 2 = -10w + 34
+10w +10w
18w - 2 = 34
+2 +2
<u>18w</u> = <u>36</u>
18 18
w = 2