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Bingel [31]
3 years ago
9

The graph of a quadratic function (a parabola) has an axis of symmetry x = 4, and passes

Mathematics
1 answer:
frutty [35]3 years ago
5 0

Answer:

y = (x - 4)^2 + 5.89

Step-by-step explanation:

The x-coordinate of the vertex is 4, and x = 4 is the axis of symmetry.  

The general vertex equation of a parabola is

y = a(x - h)^2 + k, where the vertex is (h, k) and a is a constant coefficient, not yet known.

We know that this parabola passes through the point (7.3, 5), and so we can substitute 7.3 for x and 5 for y in the above equation, obtaining:

5 = a(x - 4)^2 + k

Let's assume that a = 1.  Then

5 = (7.3 - 4)^2 + k.

Simplifying, we get

5 = 3.3^2 + k, or 5 = 10.89 + k.  Then k = -5.89, and the equation is then

y = (x - 4)^2 + 5.89

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A plane travels 236 miles in 1. 4 hours against the wind. On the return trip, it travels the same 236 miles in 1 hour. Find the
KIM [24]
Speed is given by the distance traveled divided by the time spent.

The net speed with which the plane traveled against the wind is given by \frac{236}{1.4} =168.57\ mi/hr while the speed with which the plane travelled in the return trip is given by \frac{236}{1} =236\ mi/hr 

Let the speed of the plane be v and the speed of the wind be w, then when the plane was traveling against the sun, we have, v - w = 168.57 and when the plane is travelling in the direction of the wind, we have, v + w = 236.

 Subtracting the first equation from the second equation, we have: 2w = 236 - 168.57 = 67.43

Thus, w = 67.43 / 2 = 33.715

Therefore, the speed of the wind is approximately 33.7 mi/hr.
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4 years ago
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Aleksandr [31]

Answer:

its 0.01

Step-by-step explanation:

because you only need to round it up if there is an option

5 0
3 years ago
-1/2x = -7 please answer I need help
Sloan [31]

Answer:

x = 14

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Multiply -2 to both sides of the equation:

-2 * (-1/2x) = -2 * -7

x = -2 * -7

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Note that when you multiply two negative numbers, the answer will be positive.

14 is your answer for x.

~

3 0
3 years ago
add simplify if possible I've already posted this once and I don't know what the answer was correct as somebody can do this I wi
elena55 [62]

Answer: 15 + 53/77


Step-by-step explanation:


Multiplying a fraction by 1 does not change the value.

Any number divided by itself is 1.

For instance, 11/11 = 7/7 = 1.


12 + 1/7 + 3 + 6/11 = 15 + 1/7 + 6/11

= 15 + (11×1)/(11×7) + (7×6)/(7×11)

= 15 + 11/77 + (6×7)/77

= 15 + (11 + 6×7)/77

= 15 + 53/77


It is faster to make sure to multiply by the "smallest" form of one that will work, but you don't have to. You only need to make sure that at the end there are no common factors in numerator and denominator, and that numerator is smaller than denominator.

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3 years ago
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aliina [53]

Answer:

D

Step-by-step explanation:

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