Answer:
x=10 or x=-4
Step-by-step explanation:
|x-3|=7
There are two solutions, one positive and one negative
x-3 = 7 and x-3 = -7
Add 3 to all sides
x-3+3 = 7+3 x-3+3 = -7+3
x = 10 x = -4
Step-by-step explanation:
Give the first 8 terms of the sequence. a1= -1, a2=2, a[n]=a[n-2](3-a[n-1])
Given
first term a1 = -2
second term a2 = 2
We are to get the first 8 terms. Given the sequence
a[n]=a[n-2](3-a[n-1])
a[3]=a[3-2](3-a[3-1])
a[3]=a[1](3-a[2])
a[3]=-2(3-2)
a3 = -2
a[n]=a[n-2](3-a[n-1])
a[4]=a[4-2](3-a[4-1])
a[4]=a[2](3-a[3])
a[4]=2(3+2)
a4= 10
a[5]=a[n-2](3-a[n-1])
a[5]=a[5-2](3-a[5-1])
a[5]=a[3](3-a[4])
a[5]=-3(3-10)
a5 = -3(-7)
a5 = 21
a[6]=a[n-2](3-a[n-1])
a[6]=a[6-2](3-a[6-1])
a[6]=a[4](3-a[5])
a[6]= 10(3-21)
a6 = 10(-18)
a6 = -180
a[n]=a[n-2](3-a[n-1])
a[7]=a[7-2](3-a[7-1])
a[7]=a[5](3-a[6])
a[7]= 21(3+180)
a7 = 21(183)
a7 = 3,843
a[8]=a[n-2](3-a[n-1])
a[8]=a[8-2](3-a[8-1])
a[8]=a[6](3-a[7])
a[8]=-180(3-3843)
a8 = -180(-3840)
a8 = 691,200
Answer:
Part a) 
Part b) 132:89 vs 132 to 89
Part c) 
Part d) 66:7 vs 66 to 7
Step-by-step explanation:
Let
x ----> the number of boys
y ----> the number girls
z ----> the number of adults
we have
x=132, y=89, z=14
Part a) Write the ratio of the number of boys to the number of girls.
To find the ratio of the number of boys to the number of girls, divide the number of boys by the number of girls
so

substitute

Part b) Write the same ratio using another form (A: B vs. A to B)
we have

The other form is
132:89 vs 132 to 89
Part c) Write the ratio of the number of boys to the number of adults
To find the ratio of the number of boys to the number of adults, divide the number of boys by the number of adults
so

substitute

Simplify

Part d) Write the same ratio using another form
The other form is
66:7 vs 66 to 7
Answer:
2x+3
Step-by-step explanation:
I could be wrong