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snow_tiger [21]
3 years ago
10

Rewrite the statement in mathematical notation. (Let n be the number of cases of Bangkok flu and t be time.) There are presently

500 cases of Bangkok flu, and the number is growing by 10 new cases every month.
Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
6 0
Assuming no cases are cured, but the number of sick keeps growing at a constant rate, you have
n = 10t + 500
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Find the x-intercepts of the parabola with vertex (1, -9) and y intercept at (0, -6).
weqwewe [10]
  • Vertex Form: y = a(x - h)^2 + k, with (h,k) as the vertex.

So firstly, plug the vertex into the vertex form: y=a(x-1)^2-9

Next, we first need to solve for a. Plug (0,-6) into the equation to solve for a as such:

-6=a(0-1)^2-9\\-6=a(-1)^2-9\\-6=a-9\\3=a

<u>Now we know that our equation is y = 3(x - 1)^2 - 9.</u>

Now to solve for the zeros (x-intercepts). Set y to 0 and add 9 to both sides of the equation: 9=3(x-1)^2

Next, divide both sides by 3: 3=(x-1)^2

Next, square root both sides: \pm\sqrt{3}=x-1

Next, add 1 to both sides: 1\pm\sqrt{3}=x\\2.73,-0.73=x

<u>Your x-intercepts are (-0.73,0) and (2.73,0), or B.</u>

6 0
4 years ago
What is the domain of f/g given f(x) = x+4 and g(x) = x-1
Butoxors [25]

Answer:   the domain of f/g is every real number except 1 which can be conventionally expressed as {(x,y): <em>x</em> ∈ R, x ≠ 1} OR (-∞ ≤ x < 1) ∩ (1< x ≤ ∞) OR x ∈ R; x ≠ 1.

Step-by-step explanation:

since f(x) = x + 4 and g(x) = x -  1

then f/g = x + 4/x - 1

the denominator of a function cannot be zero since a fraction with a denominator of zero is undefined.

∴  x - 1 ≠ 0

the value of x when g(x) = 0 is

       x - 1 = 0

       x = 1

∴ x ≠ 1

Therefore the domain of f/g is every real number except 1 which can be conventionally expressed as {(x,y): <em>x</em> ∈ R, x ≠ 1} OR (-∞ ≤ x < 1) ∩ (1< x ≤ ∞) OR x ∈ R; x ≠ 1.

5 0
3 years ago
BRAINLIEST if correct
Mila [183]

Answer:

A=38.88 or 38.9

Step-by-step explanation:

If both are similar then the 9 and the 7.2 are the same

9-7.2= 1.8

9x6=54

7.2-1.8=5.4

7.2x5.4=38.88 or 38.9

4 0
2 years ago
A recipe for chocolate chip cookies with toffee bits and walnuts serves 8 people and needs 3 cups of flour. If Zachary wants to
tia_tia [17]

Answer:

Im pretty sure it's 5.25 cups of flour

Step-by-step explanation:

so we know that it takes 3 cups for 8 people and we don't know the amount for 14 people so write it as a fraction and cross multipy

For the equation

8/3=14/x

The cross product is

8*x=3*14

Solving for x

x=3×14/8

and reducing

x=5.25

5 0
3 years ago
Please help I can’t figure this out
zhannawk [14.2K]

Answer:

the answer is 2 because they are the same angles

5 0
3 years ago
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