The total area of the the picture and frame is given by the equation A = (16 + 2x)(24 + 2x) = 384 + 32x + 48x + 4x^2 = 4x^2 + 80x^2 + 384
Answer:
1/12
Step-by-step explanation:
Step one:
given data
the line containing the points (5, 3) and (-7, 2).
x1= 5
y1= 3
x2= -7
y2=2
Step two:
The slope is given as
Slope= y2-y1/x2-x1
substitute
Slope= 2-3/-7-5
Slope= -1/-12
Slope = 1/12
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:
Silver car
Step-by-step explanation:
It seems pretty hard but it's actually REALLY easy. gas mileage means the number of miles you can go on a particular amount of gallons. But the gallons have to be the same for both cars so that it's fair.
so let's go with 10 gallons. pretty broad number right?
so to get 12 gallons(the gallons for the blue car) to 10, We divide it by 12 then multiply it by 10. Try it yourself, (12/12)*10=???
then we do that to 384 (the miles for the blue car)
(384/12)*10=320
so 320 is the mileage for the first car. Repeat the steps for the silver car!
(14/14)*10=10
so then: (504/14)*10= 360.
So which is bigger, 320 or 360?
360 is bigger, meaning it has better gas mileage.
Answer: Solution: (12, 3)
Step-by-step explanation:
2x - 4y = 12
3x + 4y = 48
Add both equations
5x = 60
Divide both sides by 5
x = 12
We can use the value of x to find y
3x + 4y = 48
3 (12) + 4y = 48
36 + 4y = 48
Subtract 36 from both sides
4y = 12
Divide both sides by 4
y = 3
Solution: (12, 3)
