The answer is C.
Note when Soro divides both sides by -2.5 to solve the equation. When multiplying/dividing by a negative number, one should always reverse the inequality sign, but Soro forgot to do this.
-2.5x≥-30
After this step, the answer SHOULD HAVE been:
x≤12
Let me know if you need any clarifications, thanks!
Answer:
Part a) 
Part b) The coordinates of the point are 
Step-by-step explanation:
Part a) Find the equation representing the ladder
we have the ordered pairs
(0,4) and (2,0)
Find the slope

Find the equation of the line in slope intercept form

we have

substitute

Part b) A square box just fits under the ladder.Find the coordinates of the point where the box touches the ladder.
If the box is a square
the x-coordinate of the point where the box touches the ladder must be equal to the y-coordinate
x=y

substitute


therefore
The coordinates of the point are 
Answer:

Step-by-step explanation:
we know that
The absolute value function has two solutions
Observing the graph
the solutions are
and 
First solution (case positive)
assume the symbol of the first solution and then compare the results




Second solution (case negative)

Multiply by -1 both sides

substitute the value of b and compare the results


-------> is correct
Answer:
(3x - 4)(8x - 3)
Step-by-step explanation:
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 24 × 12 and sum = - 41
The required factors are - 32 and - 9
Use these factors to split the x- term
24x² - 32x - 9x + 12 ( factor the first/second and third/fourth terms )
= 8x(3x - 4) - 3(3x - 4) ← factor out (3x - 4) from each term
= (3x - 4)(8x - 3) ← in factored form