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olga55 [171]
3 years ago
8

Swimmers competed for medals in different events at the 2012 Summer Olympics in London. The table below shows how many gold and

silver medals were won by a sample of nations.
Plot the data in a scatter plot.


i will give brainliest

Mathematics
1 answer:
creativ13 [48]3 years ago
5 0
What you do is add the points where I put them

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Step-by-step explanation:

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Write an equation for a quadratic function that has x intercepts (-3, 0) and (5, 0)
Blizzard [7]

Answer:

One possible equation is f(x) = (x + 3)\, (x - 5), which is equivalent to f(x) = x^{2} - 2\, x - 15.

Step-by-step explanation:

The factor theorem states that if x = x_{0}  (where x_{0} is a constant) is a root of a function, (x - x_{0}) would be a factor of that function.

The question states that (-3,\, 0) and (5,\, 0) are x-intercepts of this function. In other words, x = -3 and x = 5 would both set the value of this quadratic function to 0. Thus, x = -3\! and x = 5\! would be two roots of this function.

By the factor theorem, (x - (-3)) and (x - 5) would be two factors of this function.

Because the function in this question is quadratic, (x - (-3)) and (x - 5) would be the only two factors of this function. In other words, for some constant a (a \ne 0):

f(x) = a\, (x - (-3))\, (x - 5).

Simplify to obtain:

f(x) = a\, (x + 3)\, (x - 5).

Expand this expression to obtain:

f(x) = a\, (x^{2} - 2\, x - 15).

(Quadratic functions are polynomials of degree two. If this function has any factor other than (x - (-3)) and (x - 5), expanding the expression would give a polynomial of degree at least three- not quadratic.)

Every non-zero value of a corresponds to a distinct quadratic function with x-intercepts (-3,\, 0) and (5,\, 0). For example, with a = 1:

f(x) = (x + 3)\, (x - 5), or equivalently,

f(x) = x^{2} - 2\, x - 15.

6 0
2 years ago
What is the measure of А<br> 50"<br> 50°<br> B<br> C<br> [Not drawn to scale]<br> 50°<br> 80<br> 100<br> 130
Paladinen [302]

Answer:

solution given :

<A=?

<B=50°

<C=50°

if it is a triangle:

<A+<B+<C=180°( sum of interior angle of a triangle is 180°)

<A=180-50-50

<A=80°

<<u>A=</u><u>8</u><u>0° is a required answer.</u>

7 0
3 years ago
Find the value of x.
Anni [7]

Answer:

x = 56

Step-by-step explanation:

4 0
3 years ago
&lt; ADF measures 2x degrees and &lt; FDC measures x + 12 degrees. What is the measure
gtnhenbr [62]

Answer:

<h2>Angle ADF is equal to 52° and angle FDC is equal to 38°.</h2>

Step-by-step explanation:

In the image attaches, you can observe that angles ADF and FDC are complementary angles, because they sum 90°.

\angle ADF + \angle FDC = 90\°

And we know that

\angle ADF=2x\\\angle FDC = x+12

Replacing these expressions, we have

2x+x+12=90\°\\3x=90\° - 12\°\\x=\frac{78}{3}\\ x=26

Then, we replace this value in each expression to find both angles measures.

\angle ADF= 2(26)=52\°\\\angle FDC = 26+12=38\°

Therefore, angle ADF is equal to 52° and angle FDC is equal to 38°.

7 0
3 years ago
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