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3 years ago

Simplify -6 1/4 - (-2 1/8)

1 answer:

6 0

$- 6 \frac{1}{4} + 2 \frac{1}{8}$

$- 6 \frac{1}{4} - (- 2 \frac{1}{8} )$

$(-6 + 2 ) + ( -\frac{1}{4} + \frac{1}{8} )$ )

(-4) + ( - $\frac{1}{8}$ )

$- 4 \frac{1}{8}$

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Step-by-step explanation:

The circumference of the clock will be 8.6π because its hand is the radius. In 15 minutes the hand moves a quarter of the circumference which is 2.15π or 6.571.

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Vera_Pavlovna [14]

Answer:

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Step-by-step explanation:

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3 years ago

The function f(x)=(x-5)^2 +2 is not one-to-one. Identify a restricted domain that makes the function one-to-one, and find the in

Anon25 [30]

We have been given a quadratic function $f(x)=(x-5)^{2} +2$ and we need to restrict the domain such that it becomes a one to one function.

We know that vertex of this quadratic function occurs at (5,2).

Further, we know that range of this function is $[2,\infty)$ .

If we restrict the domain of this function to either $(-\infty,5]$ or $[5,\infty)$ , it will become one to one function.

Let us know find its inverse.

$y=(x-5)^{2}+2$

Upon interchanging x and y, we get:

$x=(y-5)^{2}+2$

Let us now solve this function for y.

$(y-5)^{2}=x-2\\
y-5=\pm \sqrt{x-2}\\
y=5\pm \sqrt{x-2}\\$

Hence, the inverse function would be $f^{-1}(x)=5+\sqrt{x-2}$ if we restrict the domain of original function to $[5,\infty)$ and the inverse function would be $f^{-1}(x)=5-\sqrt{x-2}$ if we restrict the domain to $(-\infty,5]$ .

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3 years ago

Ahab needs to mix 3.5 cups of liquid iced tea concentrate with 3 cups of water to make iced tea. Ahab has 21 cups of iced tea co

liraira [26]

Answer:

39 cups

Step-by-step explanation:

If we assume that the 3.5 cups of concentrate make 3.5+3 = 6.5 cups of tea, we can use the proportion ...

6.5/3.5 = x/21

to find the x cups of tea Ahab can make with 21 cups of concentrate.

Multiplying by 21, we get ...

x = 21(6.5/3.5) = 39

Ahab can make 39 cups of tea.

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3 years ago

The sum of two numbers is 18. The larger number is twice as large as the smaller number. What are the two numbers? Please explai

snow_tiger [21]

The two numbers are 12 and 16. 12 + 6 = 18. 6 doubled is 12. 12 plus 6 equals 18.

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3 years ago