Answer:
Both are wrong.
Step-by-step explanation:
We have that:
Both decomposed the fraction 
into a sum of fractions. Whoever's decomposition sum has a value of is correct.
David:
, which means that David is wrong.
Patti
, which means that Patti is wrong.
So the answer is that both are wrong.
The equivalent expression to the given expression 25x²+16−40x−64y² are; (5x-4)²−64y² and (5x−4−8y)(5x+4+8y)
<h3>Difference of two squares</h3>
According to the question:
- We are required to determine the equivalent expression.
When we try to factorise the given expression systematically; we have;
- 25x²+16−40x−64y² = (25x²+16−40x)−64y²
By the difference of two squares concept;
Therefore, an equivalent expression is; (5x-4)²−64y²
Similarly, (5x-4)²−64y² is the difference of two squares and can be rewritten as; (5x−4−8y)(5x+4+8y)
Hence, we have the suggested expressions as equivalent expressions.
Learn more about equivalent expression:
brainly.com/question/2972832
Problem 1
Plug (x,y) = (0,0) into the inequality
y < (2/3)x + 2
0 < (2/3)*0 + 2
0 < 0 + 2
0 < 2
The last inequality is true so we do shade the entire region that has the origin in it. In other words, the origin is in the shaded region. For this function, the origin is below the boundary line so the shaded region is below the line
Answer: choice D
==============================================================
Problem 2
x = number of liters of fruit syrup
y = number of liters of water
"The total number of liters of syrup (x) and water (y) is 7 liters" so x+y = 7 which leads to y = -x+7
This graph is the line through (0,7) and (7,0). Every choice seems to have this graph shown.
"Three times the number of liters of water he mixed was 6 more than twice the number of liters of syrup" so we have the equation
3x = 2y+6
which solves to
y = (3/2)x - 3
This line goes through the points (0,-3) and (2,0)
Choice D looks cut off but it looks like choice D is the answer as its the only one with (0,-3) on the line
Okay, 9 less than 17 would be (8) 3x17 = 51
9 less than 3 times 17 is equal to 51
hope this helps
