The size of a television screen is given as the length of diagonal. For example, a 29 inch screen is 29 inches from the lower left corner to the upper right corner. Shaun bought a new 40 inch television screen. One side of the screen is 24 inches long. How long is the other side? 28 inches
30 inches
34 inches
32 inches

Answer:  The required percentage is 28.57%.

Step-by-step explanation:  Given that at an animal shelter, there are 15 dogs, 12 cats, 3 snakes, and 5 parakeets.

We are to find the percentage by which parakeets are less than dogs.

From the given information, the number of dogs is

the number of parakeets is

And, the total number of animals is

So, the difference of the number of dogs and parakeets is

Therefore, the percentage by which parakeets are less than dogs is

Thus, the required percentage is 28.57%.

For a given function f(x) we want to see in which interval we have f(x) < 0.

We will see that the correct option is the first one:

-2 < x < 4

Let's see how to get the solution.

To see in which interval the function is negative, we need to see over which interval the graph of the function is below the horizontal axis.

By looking at the graph, we can see that this happens in the interval (-2, 4)

Where we used an open interval because we want f(x) strictly smaller than 0, not equal.

Then the interval is:

-2 < x < 4

Thus the correct option is the first one.

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By scrutinizing the graph, it is evident that the function f(x) is negative in the interval -2 < x < 4. This conclusion is drawn from observing where the graph resides below the horizontal axis, providing a clear understanding of the intervals where f(x) exhibits a negative value.

The correct answer is option 1.

To determine the intervals where the given function f(x) is negative, the correct option is identified as -2 < x < 4. The process involves examining the graph of the function to discern where it lies below the horizontal axis, indicating a negative value.

By visually inspecting the graph, it becomes apparent that f(x) is negative in the interval (-2, 4). It's crucial to note the use of an open interval, implying that f(x) is strictly less than 0, not equal to 0.

The derived interval expression is -2 < x < 4, signifying that the function f(x) is negative for values of x within this range. The open interval emphasizes the exclusion of the boundary points where f(x) equals 0.

Therefore, from the given options the correct one is 1.

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Answer:

-8 (4 x^2 - x + 1)

Step-by-step explanation:

Simplify the following:

3 x (x - 12 x) + 3 x^2 - 2 (x - 2)^2

x - 12 x = -11 x:

3 x×-11 x + 3 x^2 - 2 (x - 2)^2

3 x (-11) x = 3 x^2 (-11):

-11×3 x^2 + 3 x^2 - 2 (x - 2)^2

3 (-11) = -33:

-33 x^2 + 3 x^2 - 2 (x - 2)^2

3 x^2 - 33 x^2 = -30 x^2:

-30 x^2 - 2 (x - 2)^2

(x - 2) (x - 2) = (x) (x) + (x) (-2) + (-2) (x) + (-2) (-2) = x^2 - 2 x - 2 x + 4 = x^2 - 4 x + 4:

-30 x^2 - 2 x^2 - 4 x + 4

-2 (x^2 - 4 x + 4) = -2 x^2 + 8 x - 8:

-2 x^2 + 8 x - 8 - 30 x^2

Grouping like terms, -2 x^2 - 30 x^2 + 8 x - 8 = (-30 x^2 - 2 x^2) + 8 x - 8:

(-30 x^2 - 2 x^2) + 8 x - 8

-30 x^2 - 2 x^2 = -32 x^2:

-32 x^2 + 8 x - 8

Factor -8 out of -32 x^2 + 8 x - 8:

Answer:  -8 (4 x^2 - x + 1)

Answer:

14x + 8y

Step-by-step explanation:

4(5x+6y) - 2(3x+8y)

20x + 24y -6x -16y

14x + 8y