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EleoNora [17]
3 years ago
9

Which best describes the range of the function f(x) = 2/3(6)x after it has been reflected over the x-axis?

Mathematics
2 answers:
Olegator [25]3 years ago
3 0
The right answer for the question that is being asked and shown above is that: "D. all real numbers less than or equal to 0." This is the statement that <span>best describes the range of the function f(x) = 2/3(6)x after it has been reflected over the x-axis</span>
Y_Kistochka [10]3 years ago
3 0
The <u>correct answer </u>is:

D) all real numbers less than or equal to 0.

Explanation:

When you reflect a function across the x-axis, you negate every y-coordinate in the function.

In our original function, our y-values will all be positive.  Reflecting this across the x-axis will make all of the y-values negative; this means the range, or set of y-values, will be less than or equal to 0.
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3 years ago
A town has a population of 14000 and grows at 4.5% every year. To the nearest tenth of a year, how long will it be until the pop
BARSIC [14]

Answer:

around 6.6 years

Step-by-step explanation:

41,500=14,000*.45*x

41,500=6,300*x

41,000/6,300=x

6.5873=x

6.6=x

hope this helps!

3 0
3 years ago
The diagonals of a kite have lengths of x inches and 18x inches. The area of the kite is given by A=9x^2. Identify the equation(
VladimirAG [237]

Answer:

Check Explanation

Step-by-step explanation:

The longer diagonal of a kite bisects the shorter diagonal.

The diagram of the kite is shown in the attached image to this solution.

The total area of the kite = The sum of the area of the two triangles that make up the kite.

Total area = (½bh + ½bh) = bh

b = 18x

h = (x/2)

Total area of the kite = (x/2)(18x) = 9x²

Just as the question predicts.

Hope this Helps!!!

7 0
3 years ago
Solve sin x - (3sin x-1) = 0
soldi70 [24.7K]

Answer:

\large\boxed{x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi,\ k\in\mathbb{Z}}

Step-by-step explanation:

\sin x-(3\sin x-1)=0\\\\\sin x-3\sin x+1=0\qquad\text{subtract 1 from both sides}\\\\-2\sin x=-1\qquad\text{divide both sides by 2}\\\\\sin x=\dfrac{1}{2}\Rightarrow x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi,\ k\in\mathbb{Z}

\text{Equation:}\\\\\sin x=a\\\\\text{has solutions}\\\\x=\theta+2k\pi\ \vee\ x=(\pi-\theta)+2k\pi\\\\\text{Why}\ 2k\pi?\\\text{Because the sine function has a period of}\ 2\pi.

\text{look at the table}\\\\\sin x=\dfrac{1}{2}\to x=\dfrac{\pi}{6}\ \vee\ x=\pi-\dfrac{\pi}{6}=\dfrac{5\pi}{6}

\text{Other solution:}\\\\\sin x=\dfrac{1}{2}\Rightarrow x=\sin^{-1}\dfrac{1}{2}\\\\x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi

3 0
3 years ago
The school planned 92 student to attend the school dance. The school bought 4 slices of pizza for each student. How many slices
steposvetlana [31]

Answer:

92 * 4 = 368

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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