Answer:
Step-by-step explanation:
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
Plot the data in a scatter plot.
i will give brainliest
1 answer:
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Answer:
One possible equation is , which is equivalent to
.
Step-by-step explanation:
The factor theorem states that if (where
is a constant) is a root of a function,
would be a factor of that function.
The question states that and
are
-intercepts of this function. In other words,
and
would both set the value of this quadratic function to
. Thus,
and
would be two roots of this function.
By the factor theorem, and
would be two factors of this function.
Because the function in this question is quadratic, and
would be the only two factors of this function. In other words, for some constant
(
):
.
Simplify to obtain:
.
Expand this expression to obtain:
.
(Quadratic functions are polynomials of degree two. If this function has any factor other than and
, expanding the expression would give a polynomial of degree at least three- not quadratic.)
Every non-zero value of corresponds to a distinct quadratic function with
-intercepts
and
. For example, with
:
, or equivalently,
.
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°.
And we know that
Replacing these expressions, we have
Then, we replace this value in each expression to find both angles measures.
Therefore, angle ADF is equal to 52° and angle FDC is equal to 38°.
