Y = -4x + 2
3x + 2y = 6 (or in y-intercept form y=-3/2x + 3)
2x - y = 7 equals y = 2x -7 in y-intercept form. This means that the line has a positive slope and therefore goes upwards. This cannot be a potential equation because the line shown is clearly pointing downwards.
y=5 indicates that the line is a horizontal line that neither points upwards or downwards. This cannot be a potential equation because the line is pointing downwards.
The only possible equations left are y= -4x + 2 and 3x + 2y = 6, both of which graph a line pointing downwards because their slopes are negative. Hope this helps!
When a 4 is rolled on the die, the player is awarded 17 points.
When a 4.5 is rolled on the die, the player is awarded 19 points.
When a 9 is rolled on the die, the player is awarded 37 points.
<h3>Function and values</h3>
Given the function that represents certain number of points is awarded to a player upon rolling a six sided die according to the function.
f(x) = 4x + 1
If the number of die rolled is 4, hence;
f(4) = 4(4) + 1
f(4) = 16 + 1
f(4) = 17
This shows that when a 4 is rolled on the die, the player is awarded 17 points.
If the number of die rolled is 4.5, hence;
f(4.5) = 4(4.5) + 1
f(4.5) = 18 + 1
f(4.5) = 19
This shows that when a 4.5 is rolled on the die, the player is awarded 19 points.
If the number of die rolled is 4, hence;
f(9) = 4(9) + 1
f(9) = 36 + 1
f(9) = 37
This shows that when a 9 is rolled on the die, the player is awarded 37 points.
Learn more on function and value here: brainly.com/question/6561461
#SPJ1
9514 1404 393
Answer:
22.5 square feet
Step-by-step explanation:
The area covered by one tile is the product of its dimensions:
A = lw
A = (3/2 ft)(3/2 ft) = 9/4 ft²
The area covered by 10 tiles is 10 times the area covered by one tile. The area covered is ...
covered by tiles = 10 × 9/4 ft² = 90/4 ft²
covered by tiles = 22.5 ft²
22 1/2 square feet is the area covered by tiles.
Answer:
the correct answer is C
Step-by-step explanation:
first step you change the x and y powers to the square root(showing in the pic).
second the number outside of the parenthesis times the numbers inside the parenthesis and then you just figure it out how it works...
I can't conveniently copy the logical symbols you use, so I write
AND = ∧ (conjunction)
OR = ∨ (disjunction)
NOT = ¬
Tautologically,
p = (p AND q) OR (p AND NOT q)
and we can distribute the OR to get the equivalent statement
(p OR (p AND NOT q)) AND (q OR (p AND NOT q))
and again to get
((p OR p) AND (p OR NOT q)) AND ((p OR q) AND (q OR NOT q))
Now, q OR NOT q is always true, and p OR p is simply p, so we have
p = p AND (p OR q) AND (p OR NOT q)
This shows that p OR NOT q is already included in p, so our initial statement is simply
p AND (NOT p OR NOT q)
Distributing the conjunction, we get
(p AND NOT p) OR (p AND NOT q)
p AND NOT p is tautologically false, but we're considering a disjunction, so the truth value of p AND NOT q is the only value that's relevant. So, the initial statement collapses to
p AND NOT q
