Well formatted version of the question can be found in the picture attached below :
Answer:
Both Carlos and Irene
Step-by-step explanation:
Given the expression (28x - 8)
Carlos : 2(14x - 4)
Danny : 7(4x - 1)
Irene : 4(7x - 2)
The factored expression Given by Carlos, Irene and Danny can be expanded to check if it gives the same expression as that Given in the question :
Carlos :
2(14x - 4)
2*14x - 2*4
28x - 8
Danny :
7(4x - 1)
7*4x - 7*1
28x - 7
Irene :
4(7x - 2)
4*7x - 4*2
28x - 8
From.the expanded solutions obtained ;
Both Carlos and Irene's solution corresponds to the factored form of the original equation and are Hence correct
Assuming 
is differentiable over the interval (1, 5), by the mean value theorem we know that there is some 
such that
We're given that 
for all 
, so
that is, the minimum possible value is 8, and the maximum possible value is 12.
Considering her change, it is found that she will donate $0.28 to the animal shelter.
<h3>How to find the amount of change in a purchase?</h3>
The amount of change is given by the subtraction of the total paid and the price of the products.
In this problem, the price of the products bought is given by:
$15.74 + $3.98 = $19.72
She paid $20, hence the change is given by:
$20 - $19.72 = $0.28.
More can be learned about the amount of change in a purchase at brainly.com/question/10866253
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Answer:
Reasoning, Decision making
Step-by-step explanation:
The reasoning is the process of mental. In the process, reasoning needs a reason for establishing the facts. This is a cognitive process. All people engage in reasoning due to their ability to introspection. The reasoning is different in every field in every aspect.
The cognitive process plays a role in both reasoning and decision making. These both are the sub-field creative thinking. Many factors create a barrier in decision making such as incomplete information, emotional and physical resources.
Thus when we may not know the consequences we used both reasoning and decision making.
6/15 . as 2/15 plus 6/15 is 8/15, which is greater than 1/2
