Answer:
y = 3x + 6
Step-by-step explanation:
Since the line is parallel, it has the same slope -- 3
y = 3x + b, sub point (1, 9)
9 = 3(1) + b
9 = 3 + b
b = 9 - 3
b = 6
y = 3x + b -- y = 3x + 6
Answer:
A) D + Q = 50
B) .10D + .25Q = 7.10
We multiply A) by -.10
A) -.10D - .10Q = -5 then adding this to B)
B) .10D + .25Q = 7.10
.15Q = 2.10
Quarters = 14 = 3.50
Dimes = 36 = 3.60
Step-by-step explanation:
Answer: -18x to the second power+3x+1
Step-by-step explanation:
Answer:
m = rate of change of the functions.
1) m = 1/2
2) m = -1
3) m = -2
4) m = 1
5) m = 2
Step-by-step explanation:
Hi there!
For the points (a, f(a)) and (b, f(b)), the rate of change between them, m, is calculated as follows:
m = f(b) - f(a) / (b - a)
Then:
1) f(x) = 1/2 x - 3
f(0) = 1/2 · 0 -3 = -3
f(6) = 1/2 · 6 - 3 = 0
m = f(6) - f(0) /( 6 - 0)
m = 0 - (-3) / 6 = 1/2
2) f(x) = -x
f(-4) = -(-4) = 4
f(2) = -2
m = f(2) - f(-4) /(2 - (-4)
m = -2 - 4 / 2 + 4
m = -6/6
m = -1
3) f(x) = x²
f(-2) = (-2)² = 4
f(0) = 0² = 0
m = f(0) - f(-2) / 0 - (-2)
m = 0 - 4/ 2 = -2
4) f(x) = x³
f(-1) = (-1)³ = -1
f(1) = 1³ = 1
m = f(1) - f(-1) / 1 - (-1)
m = 1 - (-1)/ 2
m = 2/2 = 1
5) f(x) = 2x
f(0) = 2 · 0 = 0
f(4) = 2 · 4 = 8
m = f(4) - f(0) / (4 - 0)
m = 8 - 0 / 4
m = 2
Answer:
=3814697265625
Step-by-step explanation:
(5^3)^6
=(5^3)^6
=(5^3)*(5^3)*(5^3)*(5^3)*(5^3)*(563)
=(5*5*5)*(5*5*5)*(5*5*5)*(5*5*5)*(5*5*5)*(5*5*5)
=5*5*5*5*5*5*5*5*5*5*5*5*5*5*5*5*5*5
=5^18
=3814697265625
^ is the a number raised. For example 5 raised to the power of 3. Hope it helped!!
