Answer:
75 Sweets
Step-by-step explanation:
To get the answer you have to divide the number of sweets by the number of children. If there are 675 grams and 9 children, then you divide 675/9 to get your answer of 75 sweets.
The function f(x) = 2|x – 2| + 6 has a vertex at (2, 6) option second is correct.
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function that has vertex at (2, 6)
The options are:
f(x) = 2|x – 2| – 6
f(x) = 2|x – 2| + 6
f(x) = 2|x + 2| + 6
f(x) = 2|x + 2| – 6
As we know the vertex form of a quadratic function is given by:
f(x) = a(x - h)² + k
Similarly, mod function can be expressed as:
m(x) = a|x - h| + k
Here (h, k) is the vertex of a function.
In the function:
f(x) = 2|x – 2| + 6
The vertex of the function is (2, 6)
Thus, the function f(x) = 2|x – 2| + 6 has a vertex at (2, 6) option second is correct.
Learn more about the function here:
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Answer:
a. M=20A
b. k=20
c. $1200
Step-by-step explanation:
<u>Direct proportions
</u>
Two variables are proportional if one of them is the other by a real number. That real number is called the Constant of proportionality. If x and y are proportional, then
y=kx, where k is the constant of proportionality.
The question describes the relationship between the amount of money raised at a charity fundraiser and the number of attendees. If they have five attendees, they raise $100
a.
Let's call A the number of attendees and M the amount of money raised, and
M=kA
We know that M=100 when A=5, so
100=k(5)
This means that
k=20
The equation for the amount raised at the charity event is
M=20A
b.
The constant of variation is k=20
c. If there are 60 attendees (A=60), then
M=(20)(60)=$1200