Jake's batting average in expanded form (0.368):
.300 + .06 + .008.
Answer:
n = - 6
Step-by-step explanation:
Given k(x) then k(x) + n is a vertical translation of k(x)
• If n > 0 then a shift up of n units
• If n < 0 then a shift down of n units
Here k(x) has been shifted from (0, 0 ) to (0, - 6 )
That is a shift down of 6 units, then
p(x) = k(x) - 6
That is n = - 6
Answer:
Exact form: √
29
Decimal form: 5.38516480
Step-by-step explanation:
Answer:
a = - 2 , b = 8
Step-by-step explanation:
Since the points p and q lie on the graph then they satisfy the equation
(6, 4 ) , substitute x = 6 , y = 4 into the equation
6a + 4b = 20 → (1)
(2, 3 ) , substitute x = 2, y = 3 into the equation
2a + 3b = 20 → (2)
Multiplying (2) by - 3 and adding to (1) will eliminate a
- 6a - 9b = - 60 → (3)
add (1) and (3) term by term to eliminate a
0 - 5b = - 40
- 5b = - 40 ( divide both sides by - 5 )
b = 8
Substitute b = 8 into either of the 2 equations and solve for a
Substituting into (1)
6a + 4(8) = 20
6a + 32 = 20 ( subtract 32 from both sides )
6a = - 12 ( divide both sides by 6 )
a = - 2
2(2^4) - 5(2^2) - 3*2 + 2 = 32-20-6+2 = 8
