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Kryger [21]
3 years ago
7

3/8 (x-1) (x-9) graph the function

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
4 0

Answer:

  see below

Step-by-step explanation:

The factors tell you the x-intercepts are at x=1 and x=9, as these are the x-values that make the factors zero.

The y-intercept is ...

  (3/8)(0 -1)(0 -9) = 27/8 = 3 3/8

The vertex is at the point halfway between the x-intercepts, at x = (1+9)/2 = 5.

  (3/8)(5 -1)(5 -9) = 3(-16)/8 = -6

The vertex is (5, -6)

So, we have points on the curve (0, 3 3/8), (1, 0), (5, -6), (9, 0), (10, 3 3/8)*. The graph is a smooth parabolic curve through these points.

___

* (10, 3 3/8) is symmetrically located about x=5 from the y-intercept.

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The Falcone family is planning to drive from Syracuse, New York to Buffalo, New York. On a map with a scale of
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Answer:

The Falcones have to travel at 25 m/h to make the trip in 2 hours.

Step-by-step explanation:

In order to find the answer you have to use the formula to calculate speed:

speed=distance/time

distance=50 miles. The stament indicates that the distance between Syracuse and Buffalo is 1 inch and that the map has a scale of inch = 50 miles.

time=2 hours

Now, you can replace the values on the formula:

speed=50 miles/2 hours

speed=25 m/h

According to this, the answer is that the Falcones have to travel at 25 m/h to make the trip in 2 hours.

7 0
2 years ago
3.15x4.12=<br><img src="https://tex.z-dn.net/?f=3.15x4.12%20%3D%20" id="TexFormula1" title="3.15x4.12 = " alt="3.15x4.12 = " ali
gulaghasi [49]

Answer:

1/61.8 its right valu of x

Step-by-step explanation:

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4 0
3 years ago
I don’t quite understand this problem could someone help me please
ale4655 [162]

Answer:

\frac{7\sqrt{65}}{65}

Step-by-step explanation:

Cosine is the ratio of the side adjacent to the angle and the right triangle hypotenuse.

cos B = \frac{7}{\sqrt{65}} = \frac{7\sqrt{65}}{65}

3 0
2 years ago
Suppose that you drop a ball from a window 50 metres above the ground. The ball bounces to 50% of its previous height with each
stich3 [128]

We have been given that  you drop a ball from a window 50 metres above the ground. The ball bounces to 50% of its previous height with each bounce. We are asked to find the total distance traveled by up and down from the time it was dropped from the window until the 25th bounce.            

We will use sum of geometric sequence formula to solve our given problem.

S_n=\frac{a\cdot(1-r^n)}{1-r}, where,

a = First term of sequence,

r = Common ratio,

n = Number of terms.

For our given problem a=50, r=50\%=\frac{50}{100}=0.5 and n=25.

S_{25}=\frac{50\cdot(1-(0.5)^{25})}{1-0.5}

S_{25}=\frac{50\cdot(1-0.0000000298023224)}{0.5}

S_{25}=\frac{50\cdot(0.9999999701976776)}{0.5}

S_{25}=100\cdot(0.9999999701976776)

S_{25}=99.99999701976776\approx 100

Therefore, the ball will travel 100 meters and option B is the correct choice.

 

4 0
3 years ago
Which is not an improper fraction equal to eight
Oliga [24]
The fraction that is improper and it equals 8 is 64/8
7 0
3 years ago
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