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AlekseyPX
2 years ago
13

The graph of the function f(x) = −3x2 − 3x + 6 is shown. Which statements describe the graph? Select three options. On a coordin

ate plane, a parabola opens down. It goes through (negative 2, 0), has a vertex at (negative 0.5, 6.75), and goes through (1, 0).
Mathematics
2 answers:
MAXImum [283]2 years ago
6 0

Answer: A) the vertex is maximum value

B) the axis of symmetry is x= -1/2

C) the domain is all real numbers

Step-by-step explanation:

Komok [63]2 years ago
4 0

Answer:

A.

B.

C,

Step-by-step explanation: took the unit review test on edge

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Express 3.72727272727... as a rational number, in the form pq
Aloiza [94]
Hi there!

Let x = 3. 72727.... ---(i)

Multiply 100 in eqn. (i)

100x = 372. 72727... ---(ii)

Subtract Eqn. (i) from (ii)

100x - x = 372. 7272... - 3. 7272...

99x = 369

x = \dfrac {369}{99}

x = \dfrac {41}{11}

Hence, \dfrac {41}{11} is th' required p-q form.


~ Hope it helps!
6 0
2 years ago
The results of a survey show that the percent of adults in a certain town who want to change the name of the town is in the inte
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A) about 39.5%
b) +/ - 1.5%
c) I'd say no. It is very unlikely because less than the majority wanted it changed
7 0
2 years ago
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Trisha Long wants to buy a boat in five years. She estimates the boat will cost $15,000 at that time. What must Trisha deposit t
Nikolay [14]
\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\qquad 
\begin{cases}
A=\textit{compounded amount}\to &15000\\
P=\textit{original amount deposited}\\
r=rate\to 5\%\to \frac{5}{100}\to &0.05\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually means, once}
\end{array}\to &1\\

t=years\to &5
\end{cases}

solve for "P", to see how much Principal she should deposit today
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2 years ago
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A workbox has the following interior dimensions:
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35 square inches. To find volume measure length by width by height
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Which of the following could be the ratio of the length of the longer leg of a 30-60-90 triangle to the length of its hypotenuse
Aliun [14]

Answer:

Option C is correct.

Ratio of longer leg to hypotenuse is;  \sqrt{3} : 2

Step-by-step explanation:

This is the special right angle triangle 30°-60°-90°  as shown below in the figure.

  • The side opposite the 30° angle is always the shortest because 30 degrees is the smallest angle.
  • The side opposite the 60° angle will be the longer leg, because 60 degrees is the mid-sized degree angle in this triangle.
  • Finally , the side opposite the 90° angle will always be the largest side(Hypotenuse) because 90 degrees is the largest angle.

In 30°−60°−90° right triangle,

  • the length of the hypotenuse is twice the length of the shorter leg,also
  • the length of the longer leg is \sqrt{3} times the length of the shorter leg.

Then:

the sides are in proportion i.e,  1:\sqrt{3} :2

Therefore, the ratio of the length of the longer leg to the length of its hypotenuse is:  \sqrt{3} : 2



7 0
2 years ago
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