Help plz math is so hard
2 answers:
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Answer:
4 cups of sugar require 14 cups of sugar
Step-by-step explanation:
Given
Required
Determine the cups of flour for 4 cups of sugar
First, we need to determine the unit rate for 1 cup of sugar.
This is done by multiplying both sides by 4
Next, we determine cup of flour for 4 cups of sugar.
This is done by multiplying both sides by 4
<em>Hence;4 cups of sugar require 14 cups of sugar</em>
Answer:
f(x) = 1.5x - 0.5x
Step-by-step explanation:
The function of the pattern represented by the pentagonal numbers is the sum of three triangular numbers.
The triangular number general formula
x (x + 1) / 2
For example,
The sequence
1, 3, 6, 10
*
* * *
* * * * * *
* , * *, * * *, * * * *
_____________________________
The pentagonal numbers
The sequence:
1, 5, 12, 22, 35
As shown in the picture can be divided into three triangles
Triangle 2
x (x + 1) / 2
Triangle 1 and 3 (they are triangles one unit smaller than 2)
n (n + 1) / 2
n= x-1
Replacing n
(x-1) ((x-1) + 1) / 2
(x-1) (x) / 2
(x-1) x / 2
______________
Function represents the pattern
Triangle 2 + (Triangle 1 + Triangle 3)
Triangle 1 = Triangle 3
So then,
Triangle 2 + 2* Triangle 1
x (x +1) /2 + 2* (x -1) x/2
Rearranging
0.5 x (x +1) + x(x -1)
0.5x^2 + 0.5x + x^2 -x
(0.5 x^2 + x^2) + (0.5x -x )
1.5 x^2 - 0.5 x
______
The vertex form of the equation of a parabola is given by the following form:
In this exercise, we have the following equation:
From here, we can conclude that:
Since the leading coefficient is less than zero, the parabola open downward. So, the graph is shown below and the vertex has been indicated.
<h2>Learn more:</h2>Finding leading coefficient: brainly.com/question/1469367
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