Answer:14
Step-by-step explanation:
A nickel is 5 cents (20% of dollar)
and a quarter is 25 cents (25% of dollar)
We have given a pile of 42 coins worth of $4.90
Let x be the no nickels and
y be the no of quarter
therefore
x+y=42 -----1
+
=4.90 ---2
Solving we get
x=14 & y=28
Therefore no of nickels is 14 & no of quarters is 28
Mario says that the expression has four terms: 4, 3, n, and 2. Mario is incorrect
<em><u>Solution:</u></em>
Given that the expression is:
Given that, Mario says that the above expression has four terms
But Mraio is incorrect
Because the given expression has two terms only
4 is one of the term
is another term
So there are totally 2 terms only
A term can be a signed number, a variable, or a constant multiplied by a variable or variables
Here 3 is a constant multiplied by
So, is one term
Each term in an algebraic expression is separated by a + sign or - sign
Thus there are two terms in mario expression
Answer:
a). Vertex form f the function f(x) = (x - 2.5)²+3.25
b). Maximum value of the function is (-3)
Step-by-step explanation:
a). f(x) = x² - 5x + 3
we have to write this function in the vertex form.
f(x) = x² - 2(2.5)x + 3
= [(1)²x²- 2(2.5)x + (2.5)²-(2.5)²] + 3
= (x - 2.5)²- 6.25 + 3
= (x - 2.5)² - 3.25
So the vertex for of the function is
f(x) = (x - 2.5)² - 3.25
b). Given quadratic function f(x) = -x² - 6x + 6 is in the standard form of f(x) = ax² + bx + c.
By comparing the coefficients of both the functions,
a = -1, b = 6 and c = 6
Here the value of a is negative, therefore, the given parabola is opening downwards.
And the maximum will occur at
When we plug in the values,
x = 3
Now to get the value of maximum of the function we will get the value of f(3).
f(3) = -(3)²- 6(3) + 6
f(3) = 9 - 18 + 6
f(3) = -3
Therefore, maximum value of the quadratic function is (-3).