A battery has enough energy to operate eight toy bears for 21 hours. For how long could the battery operate 15 toy bears?

Answer:

I believe it takes around 11 hours.

Step-by-step explanation:

Assuming the starting temperature is 0 degrees, I can conclude it takes 11 hours, as 11*3 = 33. If it starts at 3 degrees, it would be 3*12 = 36 degrees.

He takes 6 hours to stitch a single shirt and stitches 6/10 of a shirt in 1 hour.

Y = 5x + 3
y = 5.5x + 2
0.5x = 1
x = 2
y = 13
I trust this information will assist you. c:

Step-by-step explanation: The entertainment company’s net value after t months can be expressed by the equation; v(t) = 4t² - 24t - 28. To factor this expression, we need to simplify the equation: v(t) = 4t² - 24t - 28, dividing everything by 4 yields: v(t) = t² - 6t - 7, v(t) = t² - 7t + t - 7, v(t) = t(t-7) + 1(t-7), v(t) = (t+1)(t-7). Thus, the function in factored form is v(t) = (t+1)(t-7). To find when the company hits its lowest value, substitute v(t) = 0 into the factored expression: v(t) = (t+1)(t-7). Setting equal to zero provides: (t+1)(t-7) = 0, leading to t + 1 = 0 and t - 7 = 0; thus, t = -1 and t = 7. Since time cannot be negative, therefore, t equals 7 months. This indicates that after 7 months, the company will reach its minimal net value.

Answer:

Detailed explanation:

* Let’s clarify the procedure for solving this problem

- An exponential function can be expressed as , where

 a signifies the starting amount (x = 0), and b denotes the growth factor

- If b > 1, it qualifies as an exponential growth function

- If 0 < b < 1, it is categorized as an exponential decay function

- Horizontal translation to the right by h units results in the new function being

- Conversely, if translated to the left by h units, the function modifies to

 the new function will be

- A vertical upward shift by k units alters the function to

- A vertical downward shift by k units means the new function accounts for

* Now, let’s solve the problem

∵ f(x) is an exponential function

∵ The points (0, 1), (1, 10), (2, 100) are points of f(x)

- g(x) is the transformation of f(x)

∵ The points (3, 1), (4, 10), (5, 100) belong to g(x)

∵ The point (0, 1) on f(x) transforms to (3, 1) on g(x)

∵ The point (1, 10) on f(x) transforms to (4, 10) on g(x)

∵ The point (2, 100) on f(x) translates to (5, 100) on g(x)

∵ Notably, all y-coordinates of f(x) match those of g(x)

 indicating no vertical translation

∴ Hence, no vertical translation occurred

∵ The x-coordinates of f(x) are increased by

   3 units to yield the x-coordinates for g(x)

∴ This shows that f(x) is translated 3 units to the right

∵

∴

- Refer to the corresponding graph for greater clarity

# The red curve denotes f(x)

# The blue curve signifies g(x)