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Hoochie [10]
2 years ago
9

Y = 3x - 12x +9 In standard form?

Mathematics
1 answer:
xxMikexx [17]2 years ago
5 0

Answer:

y=-9x+9

Step-by-step explanation:

There are only two like terms in the equation which I have underlined.

y= <u>3x - 12x</u> +9

To simplify it, you combine the like terms and get your equation in standard form.

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What is the percent?
madreJ [45]

Hello!

So out of the 950 students at Sunnydale Elementary, 285 wore the school colors. First off, let's divide the number of students that wore the school colors by the number of total students. 285/950 is 0.3. To convert that into a percentage, multiply the decimal by 100. 0.3 * 100 is 30. There. 30% of Sunnydale Elementary students wore the school colors.

6 0
3 years ago
Graphing exponential functions and then State the domain, range and asymptote​
Luda [366]

9514 1404 393

Answer:

  D: all real numbers

  R: f(x) > 0

  A: f(x) = 0

  (-∞, 0), (+∞, +∞)

  vertical stretch by a factor of 2; left shift 2 units

Step-by-step explanation:

The transformation ...

  g(x) = a·f(b(x -c)) +d

does the following:

  • vertical stretch by a factor of 'a'
  • horizontal compression by a factor of 'b'
  • translation right by 'c' units
  • translation up by 'd' units

For many functions, horizontal coordinate changes are indistinguishable from vertical coordinate changes. Exponential functions tend to be one of those.

__

Using the above notation, you seem to have f(x) = 3^x, and g(x) = 2f(x+2). The transformation is a vertical stretch by a factor of 2, and a translation left 2 units.

__

As with all exponential functions, ...

  • the domain is "all real numbers"
  • the range is all numbers above the asymptote: f(x) > 0
  • the horizontal asymptote is f(x) = 0

The function is a growth function, so ...

  • x → -∞, f(x) → 0
  • x → ∞, f(x) → ∞

_____

<em>Additional comment</em>

The left shift is equivalent to an additional vertical stretch. The function could be rewritten as ...

  f(x) = 18(3^x)

with no left shift and a vertical stretch by a factor of 18 instead of 2.

6 0
3 years ago
For each of the described curves, decide if the curve would be more easily given by a polar equation or a Cartesian equation. Th
Reptile [31]

Answer:

  (a)  (x-2)^2 +(y-2)^2 = 16

  (b)  r = 2

Step-by-step explanation:

(a) When the circle is offset from the origin, the equation for the radius gets messy. In general, it will be the root of a quadratic equation in sine and cosine, not easily simplified. The Cartesian equation is easier to write.

  Circle centered at (h, k) with radius r:

  (x -h)^2 +(y -k)^2 = r^2

The given circle is ...

  (x -2)^2 +(y -2)^2 = 16

__

(b) When the circle is centered at the origin, the radius is a constant. The desired circle is most easily written in polar coordinates:

  r = 2

6 0
3 years ago
One number is 9 less than a second number. Their sum is -27. What is the first number?
avanturin [10]

Answer:

x= first number y= second

x=2y+9 and x+y=129, these are the equations...solving gives x=89,y=40

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What are the intercepts of x^2+y-9=0
Dmitry_Shevchenko [17]

Answer:

Zeros

x = -3   point (-3 ,0)

x = 3   point (3 ,0)

Step-by-step explanation:

Using a graphing calculator, we can easily check the intercepts of the equation

y  = -x^2 +9

8 0
3 years ago
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