Answer:
4. x=10
5. x=15
6. x=20
7. x=4
Step-by-step explanation:
4. 50+4x=90
90-50=40
40/4=10
x=10
5. (2x+60)+6x=180
6x+2x=8x
8x+60=180
180-60=120
8x=120
120/8=15
x=15
6. 3x+30=90
90-30=60
60/3=20
x=20
7. (8x+120)+7x=180
8x+7x=15x
15x+120=180
180-120=60
15x=60
60/15=4
x=4
Yes, as x grows by 1 y grows by -2 (or decreases by 2!)
A. X is the number of years after 2000
2006-200 = 6 years.
Replace x with 6 and solve:
105(6)^2 + 680(6) + 4296 = 12,156
Answer for part a: 12,156
Answer for part B.
There was just over 12,000 in 6 years , to get to 21,500 would be a little over 9,000 more 9/12 = 0.75
6 years x .75 = 4.5 years
6 + 4.5 = 10.5 years round to 10 years for estimating purposes
Answer for part b: about 10 years
Answer:
secθ = - 2
Step-by-step explanation:
Using the identity
sec²θ = 1 + tan²θ
= 1 + (
)² = 1 + 3 = 4 ( take the square root of both sides )
secθ = ±
= ± 2
Since secθ < 0 in the third quadrant , then
secθ = - 2
Answer:
26.5 miles.
Step-by-step explanation:
Given: Time for running Boston Marathon= 2.12 h
Speed= 12.5 mph
Distance covered in Boston Marathon
Distance covered= speed x time
Distance covered = 12.5 x 2.12=26.5 miles
∴ Distance covered in the Boston Marathon is <u>26.5 miles.</u>