1) Equation of the line
Slope, m = [-2 -1]/[0 - 2] = -3 / -2 = 3/2y-intercept, b = -2
y = 3x/2 - 2
2) InequalityThe points over the line have y-coordinate greaetr than the value of the line, then
y ≥ 3x/2 - 2
2y ≥ 3x - 4
3x - 2y ≤ 4
3) Answer: 3x - 2y less than or equal to 4.
Answer:
∀s ∈ D, C(s) - - - > E(s)
∀s ∈ D, C(s) - - - > ~ E(s)
∃s ∈ D such that M(s) ∧ C(s)
Step-by-step explanation:
D = set of all students
M(s) = s math major
C(s) = s Computer science major
E(s) = s Engineering major
Expressing the following using quantifies variables and predicates :
A.) Every computer science student is an engineering student
∀s ∈ D, C(s) - - - > E(s)
b. No computer science students are engineering students
∀s ∈ D, C(s) - - - > ~ E(s)
c. Some computer science students are also math majors
∃s ∈ D such that M(s) ∧ C(s)
∃s = Existential Domain
∀s = universal
∧ = connective and
~ = not
∈ = belongs to
Answer:
She uses 8.52 kgs of flour in 8 days
There are 6.48 kgs of flour left over after 8 days.
Step-by-step explanation:
First, you need to multiply 1.065 by 8 to get how much flour she uses in 8 days.
1.065 times 8 is 8.52. She uses 8.52 kgs of flour in 8 days.
Now, to get how much flour is left over after 8 days, you need to subtract 8.52 from 15 kgs.
15 - 8.52 = 6.48 kgs.
Answer:
No 4,800
Step-by-step explanation:
Answer:
<h2>
$26.25</h2>
<em><u>Solving steps:</u></em>
<em>Question:</em> <u>Sam had some money in his pocket, and he found another $6. 50 in his dresser drawer. He then had a total of $19. 75. Let p represent the amount of money Sam had in his pocket. Which equation can you use to find the amount of money Sam had in his pocket? How much money did Sam have in his pocket?.</u>
<em>Find: </em><em> </em><u>How much money did Sam have in his pocket?.</u>
<em>Solution:</em><em> </em>Let the equation be
<h3><em>=> P = T </em><em>+</em><em>F</em></h3>
<u>p represent amount of money</u>
<u>p represent amount of moneyt represent total</u>
<u>p represent amount of moneyt represent totalf represent money found</u>
<h3>
<em>=> P = T </em><em>+</em><em> </em><em>F</em></h3>
<u>insert the values</u>
<h3><em>=> P = $19.75 </em><em>+</em><em> </em><em>$6.50</em></h3>
add<u> 19.75 from 6.50 </u>
<h3><em>=> P = </em><em> </em><em>26.25</em></h3>
<em><u>THEREFORE THE AMOUNT OF MONEY </u></em><em><u>SAM</u></em><em><u> HAVE IN HIS POCKET</u></em><em><u> IS ABOUT</u></em><em><u> </u></em><em><u> </u></em><em><u>$</u></em><em><u>26.25</u></em>