Answer:
¬(W∨S)→¬(J∨E)
D→(B∨C)
X is true
No
Step-by-step explanation:
The hypotheses "neither water nor soft drinks can quench your thirst" translates to ¬(W∨S) ("neither nor" negates the disjunction W∨S). The "if,... then" translates to the implication symbol (arrow). The conclusion "juice will not do it, unless the juice contains electrolytes" translates to ¬(J∨E). This is because if J or E were true, then J would be true (because E implies J), contrary to the conclusion that J is false ("juice will not do it"), then J∨S is false.
The hypothesis here is "the dyer breaks" hence D is the hypothesis. The conclusion is "we will hang the clothes to dry, or take the clothes to a coin-operated laundry" which is the same as (B∨C).
The proposition p→p is always true (according to truth tables). In this case, p:=X is true, then p is true and X is true.
X∨Y is false if and only if X is false and Y is false, so both statements X,Y must be false.
Answer:
859
Step-by-step explanation:
The demand for Coke products varies inversely as the price of Cole products.
Mathematically:
D α 1/p
Where D = demand, p = price of coke product
D = k/p
Where k = constant of proportionality.
Let us find k.
k = D * p
When Demand, D, is 1250, price, p, is $2.75:
=> k = 1250 * 2.75
k = $3437.5
Now, when price, p, is $4, the demand will be:
D = 3437.5/4
D = 859.375 = 859 (rounding to whole number)
The demand for the product is 859 when the price is $4.
original slope = -4/3
parallel slope = -4/3
Explanation:
For a line to be parallel to anpother line, the slope of both lines must be equal.
We need to find the slope of the given line by picking any two points on the line.
Using points (-6, 5) and (0, -3)
slope formula:
The equation of the given line: y = mx + b
b = y-intercept = -3
y = -4/3x - 3
The equation line parallel to the one above could be:
y = -4/3 x + 7
This because the slope are the same
original slope = -4/3
parallel slope = -4/3
plotting the graph of the lline parallel to the first one:
