Answer:
a) one solution(x = 9)
b) no solution
c) infinite solutions
Step-by-step explanation:
a) To solve this equation, we can add 4 on both sides in order to isolate x:
x - 4 =5
+ 4     + 4
x = 9
Since x equals 9, that counts as only one solution, as there is only one value of x that makes the equation true.
b) We start by subtracting 2x from both sides to combine the variable terms:
2x - 6 = 2x + 5
-2x         -2x
-6 = 5
The statement, -6 = 5 is never true and it is not dependent on the value of x. This means there are no solutions to this equation.
c) We can start by subtracting 3x from both sides to combine the terms with x:
3x + 12 = 3x + 12
-3x          -3x
12 = 12
The statement above is always true, and no matter the value of x, it will always be true. This means there are infinite solutions to the equation.
 
        
             
        
        
        
Answer:
b. 3t ≥ 36
Step-by-step explanation:
She gets $3 per three-pointer. The variable <em>t</em> stands for three-pointer. So in mathematical terms, it would be 3<em>t</em>.
She wants a minimum of 36 dollars, therefore the sign would be ≥. This means 3<em>t </em>has to be greater than or equal to 36.
So, 3<em>t</em> ≥ 36
 
        
             
        
        
        
Question 1: If shes making 4 hats alone and then Quadruples it shes making 16 hats per week if she quadruples it again she will be knitting 64 hats per week.
4x4=16
16x4=64hats
Question 2: There is an error because 5x5x5 = 5³
Question 3: 2⁴ - 8 x 2 / 4 = 12
 2⁴ = 16  - 8 x 2 / 4
8x2 = 16 
16/4 = 4 
16-4 = 12
 
        
             
        
        
        
Answer:
1
Step-by-step explanation:
By order of operations, we first evaluate the parentheses, which is 2 * 1 = 2.  We then evaluate the brackets, which are 3 / 2 =  .  Finally,
.  Finally,  *
 *  =
 =  or 1.
 or 1.