Answer:
C) 3x - 6
Step-by-step explanation:
Let the unknown number be represented by placeholder x.
Then the product of 3 and the number is represented by 3*x or 3x.
This value diminished by 6 corresponds to 3x-6.
So the expression representing the required overall construct mathematically is given by 3x-6
Option a, 6x-3 represents the difference of 6 times x and 3.
Option b, 3-6x represents the difference of 3 and (6 times x).
Option d, 6-3x represents the difference of 6 and (3 times x).
Explication étape par étape:
Compte tenu des expressions ';
A = 4 (x + 5) -8
B = x² + 15
Nous devons vérifier si A = B pour les deux valeurs de x à x = 1 et x = 3
à quand x = 1
A = 4 (1 + 5) -8
A = 4 (6) - 8
A = 24-8
A = 16
B = x² + 15
B = 1² + 15
B = 1 + 15
B = 16
Donc à quand x = 1, A = B = 16
quand x = 3
A = 4 (x + 5) -8
A = 4 (3 + 5) -8
A = 4 (8) - 8
A = 32-8
A = 24
B = 3² + 15
B = 9 + 15
B = 24
Également lorsque x = 3, A = B = 24
Cela montre que le postulat d'Emmas est juste.
Part A:
Expression

The constants are 15 and 100
The variables are

and

Part B:
Expression

has two terms;

and

. We know this because both have different variables attached to them
Part C:
The term

is the expression for the total earned from her allowance
The area of the inscribed triangle = 3(6^2 x sin 120°) = 3(36sin 120°) = 3(31.18) = 93.53 square in.
So in this case P = 2000, i = 0.045, and t = 5.
Just substitute, those numbers into the equation, getting you 2000(1+0.045)^5
This then becomes 2000(1.045)^5
Which gets you about 2492.36, or B.