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IrinaVladis [17]
3 years ago
15

-3(x+ 2y) + 5(3x - y) + y2 for x = 6 and y= 2.

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
4 0

Answer:

54

Step-by-step explanation:

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A diver dives from the board at a local swimming pool. Her height, y, in metres, above the water in terms of her horizontal dist
Aneli [31]

Answer:

4 meters

Step-by-step explanation:

Given a quadratic equation in which the coefficient of x^2 is negative, the parabola opens up and has a maximum point. This maximum point occurs at the line of symmetry.

Since the divers height, y is modeled by the equation

y= -x^2 + 2x + 3

Step 1: Determine the equation of symmetry

In the equation above, a=-1, b=2, c=3

Equation of symmetry, x=-\dfrac{b}{2a}

x=-\dfrac{2}{2*-1}\\x=1

Step 2: Find the value of y at the point of symmetry

That is, we substitute x obtained above into the y and solve.

y(1)= -1^2 + 2(1) + 3=-1+2+3=4m

The maximum height of the diver is therefore 4 meters.

8 0
3 years ago
Which of the following equations is used to calculate the probability of event A happening, given that event B has occurred?
Naddika [18.5K]

Answer:

B

Step-by-step explanation:

Not much to explain

6 0
3 years ago
Can someone help please :) i’ll mark brilliant
stiks02 [169]

Answer:

X= 23 degrees

Step-by-step explanation:

117 degrees minus 94 equals x

x=23

4 0
3 years ago
A city was founded at the beginning of 1990 with a population of 55,000, and since then, the growth in its population has been e
andrew-mc [135]
You can solve this analytically to get
.. 55000*(1 +x/100)^10 = 108193
.. (1 +x/100)^10 = 108193/55000
.. 1 +x/100 = (108193/55000)^(1/10)
.. x = 100*((108193/55000)^(1/10) -1) ≈ 7.00

but I find it just as fast to have a graphing calculator do it.

The city's population is increasing 7% per year.

4 0
4 years ago
How to solve 2v 14=20
LuckyWell [14K]
2v+14=20
2v=20-14
2v=6
V=3
8 0
3 years ago
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