10c-15+3-8c-6+5c
7c-18 i think so
Answer:
(x + 9)(x + 2 )
Step-by-step explanation:
Sum =11
Product = 18
Factors = 9 , 2
When you multiply (9*2 = 18) and when you add (9 +2 = 11).
x² + 11x + 18 = x² + 9x + 2x + (9*2)
=x(x + 9) + 2(x + 9)
= (x + 9)(x + 2 )
Answer:
D. g(x) = (x+ 4)² + 6
Step-by-step explanation:
Here, the given function is f(x) = x²
Now,if a graph x² is translated by (h,k) where:
h = Translation done towards RIGHT
k = Translation done towards UP
Then the translated equation is given as:
y = (x-h)² + k .... (1)
Now here, the graph is translated 6 UNITS UP and 4 UNITS LEFT.
⇒ h = - 4 and k = 6
Substituting the value of h, k in (1) , we get:
g(x) = (x-(-4))² + 6 = (x+ 4)² + 6
⇒ g(x) = (x+ 4)² + 6
Hence, the equation of the translated function, g(x) is g(x) = (x+ 4)² + 6.
<span>It can be assumed that the sample mean would would be approximately normal by the mean distribution theorem. The mean distribution theorem states that a large enough sample size will have a distribution and mean approximately the same as the population mean. A sample of 250, half the size of 500, is of sufficient size to assume the distribution mean will be approximately normal like the population mean.</span>
Answer:
There are 29 chickens and 19 sheep.
Step-by-step explanation:
Samantha has chickens and sheep on her farm.
Let the number of chickens be c.
Let the number of sheep be s.
Each chicken has one head and each sheep has one head.
She looked out one day and counted 48 animal heads. Each chicken has one head and each sheep has one head.
This means that the number of chickens and sheep add up to 48:
c + s = 48 ____________(1)
She also counted 134 legs. Each chicken has one head and each sheep has one head. This means that:
2c + 4s = 134 ________(2)
From (1),
c = 48 - s ____________ (3)
Put (3) in (2):
2(48 - s) + 4s = 134
96 - 2s + 4s = 134
Collecting like terms:
2s = 134 - 96
2s = 38
s = 38 / 2 = 19
Putting this back in (3):
c = 48 - 19
c = 29
There are 29 chickens and 19 sheep.
