Answer:
p = 5 and b = 8
Step-by-step explanation:
First, create a system of equations:
2p + 4b = 42
7p + 9b = 107
Solve by elimination by multiplying the top equation by -7 and the bottom equation by 2:
-14p - 28b = -294
14p + 18b = 214
Add these together, and solve for b:
-10b = -80
b = 8
Plug in 8 as b into one of the equations, and solve for p:
2p + 4b = 42
2p + 4(8) = 42
2p + 32 = 42
2p = 10
p = 5
So, p = 5 and b = 8
Answer:
3.47
Step-by-step explanation:
since the third decimal is less than 5 then it doesn't carry over to the 7 thus it remains 7.
Answer:
The answer is option 4.
Step-by-step explanation:
You have to use Indices Law,
So for this question :
Answer:
years 1–4: 62.4 bass per year
years 5–8: 67.6 bass per year
Step-by-step explanation:
If the population in year n is ...
p(n) = 3000·1.02^n
then the average rate of change from year 1 to year 4 is ...
(p(4) -p(1))/(4 -1) = 3000(1.02^4 -1.02^1)/3 = 1020·(1.02^3 -1) ≈ 62.4
The average rate of change for years 1–4 is 62.4 bass per year.
For years 5–8, the rate of change is similarly computed:
(p(8) -p(5))/(8 -5) = 3000(1.02^8 -1.02^5)/3 = 1000·1.02^5·(1.02^3 -1) ≈ 67.6
The average rate of change for years 5–8 is 67.6 bass per year.
Answer:
B
Step-by-step explanation:
An equation of a circle:
(x - a)² + (y - b)² = r²
(a; b) - a coordinates of a center
r - a radius
r = 5; P(6; 1) ⇒ a = 6 and b = 1
therefore
(x - 6)² + (y - 1)² = 5²
check:
A) Q(1; 11)
L = (1 - 6)² + (11 - 1)² = (-5)² + 10² = 25 + 100 = 125
R = 25
L ≠ R
B) R(2; 4)
L = (2 - 6)² + (4 - 1)² = (-4)² + 3² = 16 + 9 = 25
R = 25
L = R - CORRECT
C) S(4; -4)
L = (4 - 6)² + (-4 - 1)² = (-2)² + (-5)² = 4 + 25 = 29
R = 25
L ≠ R
D) T(9; -2)
L = (9 - 6)² + (-2 - 1)² = 3² + (-3)² = 9 + 9 = 18
R = 25
L ≠ R
Answer: B) R(2; 4).
