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Lorico [155]
3 years ago
11

Naomi is doing a report about the 1900 and 1904 olympic games. Each page will contain information about 4 of the countries that

competed each year. Write and solve an equation to find the number of pages Naomi will need.
Mathematics
1 answer:
hammer [34]3 years ago
8 0

Answer:

The correct answer is the equation stands as 4x =40 where x is the number of pages Naomi would require and the value of this x is 10.

Step-by-step explanation:

Number of countries that competed in 1900 summer Olympic games is 28.

Number of countries that competed in 1904 summer Olympic games is 12.

Total number of countries competed in total is 40.

Each page of Naomi's report contains  information about 4 of the countries that competed each year.

Let Naomi need x number of pages to incorporate the whole report.

Thus the equation now stands as 4 × x = 40.

⇒ x = 10.

Thus Naomi would require 10 pages to complete her report.

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Answer:

x = 14

Step-by-step explanation:

3/7 = 6/x

3(x) = 6(7)

3x = 42

x = 14

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a) c = 1/15

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Find g(a - 1) when g(x) = 5x - 4.
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{ \tt{g(x) = 5x - 4}}

• solve when x is a - 1:

{ \tt{g(a - 1) = 5(a - 1) - 4}} \\  \\ { \tt{g(a - 1) = 5a - 5 - 4}} \\  \\ { \boxed{ \tt{g(a - 1) = 5a - 9 \: }}}

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The radius of a sphere with a surface area of 36pi square meters
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Step-by-step explanation:

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3 years ago
The graph of a quadratic function has a vertex at (5,3) and goes through the point (-1,-9). What is the equation of the function
kotegsom [21]

Answer:

y=-\frac{1}{3} (x-5)^2+3

Step-by-step explanation:

We are given the following;

  • Vertex of a quadratic function = (5,3)
  • A point where the function passes through (-1, -9)

Required to determine the equation of the function;

  • We need to know the vertex form of a quadratic function is;

y=a(x-h)^2+k, where h and k correspond to the vertex (h,k)

  • Therefore, we can replace the variables h and k of the vertex in the equation;

That is;

y=a(x-5)^2+3

Then we use the equation and the point given to solve for a

x = -1 and y = -9

We get;

-9=a(-1-5)^2+3\\-9 = a(36) + 3\\-9 - 3 = 36a\\-12 =36a \\a=-\frac{1}{3}

Substituting the values of a, h and k in the equation, we get;

y=-\frac{1}{3} (x-5)^2+3

Thus, the equation of the function in the vertex form is y=-\frac{1}{3} (x-5)^2+3

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