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nignag [31]
3 years ago
12

Consider the function represented by the equation y-6x-9 +0. Which answer shows the equation written in function notation

Mathematics
1 answer:
RUDIKE [14]3 years ago
6 0

Answer:

f(x) = 6x + 9.

Step-by-step explanation:

y - 6x - 9 = 0

y = 6x + 9.

So that would be:

f(x) = 6x + 9.

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A comet travels along a parabolic path around the Sun. The Sun is the focus of the path. When the comet is at the vertex of the
AlladinOne [14]
Remember that for a function of the form y=a x^{2}, a parabola, the focus will be: (0, \frac{1}{4a} ).
We know that the vertex of the parabola is (0,0), and the sun is the focus of the parabola; we also know that the focus is in the positive y-axis and when the comet is as its vertex, the distance between them is 60'000.000 km; therefore the focus of our parabola is (0, 60'000.000).
Now that we know the focus, we can find a using the focus of the parabola:
\frac{1}{4a} =60'000.000
1=(60'000.000)(4a)
1=240'000.000a
a= \frac{1}{240'000.000}

Now, the only thing left is replacing the value of a in our equation y=a x^{2}:
y=( \frac{1}{240'000.000)} ) x^{2}
y= \frac{ x^{2} }{240'000.000}
 
We can conclude that the equation that represents the path of the comet is y= \frac{ x^{2} }{240'000.000}

5 0
3 years ago
Simplify. 4−16÷4+42 −16 13 15 16
Dimas [21]

Answer:

[See Below]

Step-by-step explanation:

✦ First split the equation in little pieces and solve them:

  ✧ 4 - 16 = -12

  ✧ 4 + 4² = 20 (4² = 16)

✦ Now divide them:

  ✧ -12 ÷ 20 = -0.6

So I'm guessing you're trying to simplify 4²... so it'd be 16 because none of the choices are the simplified version of the problem.

~<em>Hope this helps Mate. If you need anything feel free to message me.</em>

7 0
3 years ago
Gilberto’s grandfather gives him $5 for his birthday and then $.50 for each math question he answers correctly on his math exams
Alexandra [31]

Answer:

<h3>Therefore total amount of money that he got is = $(5+0.50x)   [ x = number of correct math]</h3>

Step-by-step explanation:

Given, Gilberto's grandfather gives him $5 for his birthday and then$0.50 for each math he answers correctly on his math exam for the year.

Let , the number of math that he answers correctly on his his math exam for the year is x

Therefore he got = $(0.50× x) =$ 0.50x for doing correct math.

Therefore total amount of money that he got is = $(5+0.50x)   [ x = number of correct math]

5 0
4 years ago
7 over 12 minus 5 over 12 as a fraction in simplest form
poizon [28]

Answer:

1/6

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Matt has four orange trees, one at each corner of his yard (northeast, northwest, southeast, and southwest). The following
s2008m [1.1K]

Answer:

d

Step-by-step explanation:

3 0
4 years ago
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