Answer:
Either 7 or 23 - read note
Step-by-step explanation:
Substitute m for 8.
*Note: I'm not sure if anything is in parentheses so there are two possible answers depending on whether you want it done left to right or by order of operations*
Left to Right:
3(8) - 3 ÷ 3
24 - 3 ÷ 3
21 ÷ 3
7
Order of Operations:
3(8) - 3 ÷ 3
24 - 3 ÷ 3
24 - 1
23
 
        
                    
             
        
        
        
Multiply the exponents 
3 * -2 = -6
It would be 2^-6
Format: a^-b = 1/a^b
1/2^6 = 1/64
The solution is 1/64
        
             
        
        
        
X² - 3x - 10
x² = x * x
10 can be factored:
1 x 10 ⇒⇒⇒ difference between factors = 9 
2 x 5   ⇒⇒⇒ difference between factors = 3  ⇒ (The correct pair)
(x-5)(x+2) = x(x+2) - 5(x+2) 
                 = x² + 2x - 5x - 10 
                 = x² - 3x - 10
∴ x - 5 = 0  ⇒⇒⇒ x = 5
   x + 2 = 0  ⇒⇒⇒ x = -2
I have attached <span>algebra tiles for the given equation.</span>
 
        
        
        
$13.25 + ($0.50 x 8)
I hope this helps you answer your question!
        
                    
             
        
        
        
Answer:
The equation of the line in the slope-intercept form is y = -5x + 79
Step-by-step explanation:
The slope-intercept form of the linear equation is y = m x + b, where
- m is the slope of the line
- b is the y-intercept
∵ The slope of the line is -5
∴ m = -5
∵ The form of the equation is y = m x + b
→ Substitute the values of m in the form of the equation
∴ y = -5x + b
→ To find b substitute x and y in the equation by the coordinates
    of any point on the line
∵ The line passes through the point (18, -11)
∴ x = 18 and y = -11
∵ -11 = -5(18) + b
∴ -11 = -90 + b
→ Add 90 to both sides to find b
∵ -11 + 90 = -90 + 90 + b
∴ 79 = b
→ Substitute it in the equation
∴ y = -5x + 79
∴ The equation of the line in the slope-intercept form is y = -5x + 79