There are (4^2)^3 ⋅ 40 horses at a stud farm. What is the total number of horses in the farm?

Mathematics

1 answer:

STatiana [176]2 years ago

8 0

$(4^{2})^3 - 40 \\ 
16^3 - 40 \\
4096 - 40 \\
4056$

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Endpoint: (9,-10), midpoint: (4,8)

Alika [10]

Answer:

( -1 , 26)

Step-by-step explanation:

So since you need to find the other endpoint, you would follow these steps:

1.) $4 = \frac{9 + x}{2\\}$

2.) 8 = 9 + x ( you just multiplied the 2 to the 4 to get 8)

3.) -1 = x (just solve it like a regular equation, so just subtract 9 on both sides to get rid of it and that leaves you with -1 = x)

You took the x values of both points and put them in the equation.

And its the same for y

1.) $8 = \frac{-10 + y}{2}$

2.) 16 = -10 + y

3.) 26 = y (you added the 10 on both sides because the 10 was negative and that took the 10 out and so it left you with 26 = y)

5 0

2 years ago

(WILL GIVE BRAINLIEST) Which of the following exponential functions goes through the points (1, 6) and (2, 12)?

olganol [36]

Answer:

$\boxed{a. \: f(x) = 3(2)x} \: is \: correct$

Step-by-step explanation:

$if \: the \: points \: are \: (1, 6) \: and \: (2, 12) \to \\ then \to \\ m = \frac{12 - 6}{2 - 1} = \frac{6}{1} \\ \boxed{m = 6} \\ y - 6 = m(x - 1) \\ y = 6x - 6 + 6 \\ y = 6x = (3)(2)x \\ but \: y = f(x) \to \: hence \to \\ \boxed{ f(x) = 3(2)x}$