Given the compound statement <span>(p∨q)∧r
where: p: 5 < -3
q : All vertical angles are congruent.
r: 4x = 36, then x = 9.
Recall the in logic, '</span>∨' symbolises "or" while '∧' symbolises "and".
Therefore, the compound statement <span>(p∨q)∧r can be written as follows:
Either 5 < -3 or all vertical angles are congruent, and if 4x = 36, then x = 9.
</span>
I believe they are called opposites.
Answer:
7^(1-3+1) = 7^-3
Step-by-step explanation:
Here is the rule you should know: when multiplying powers of the same base you add the exponents ans when dividing powers of the same base you subtract the exponents.
Also, if there is no number at the exponent, it is 1.
Answer:
B, C, F
Step-by-step explanation:
3/4 is 3 times 1/4, so the number of walls Dan can paint is 3 times the number of cans Dan uses.
A. 1/2 can will paint 3/2 walls, not 2.
B. 1 can will paint 3 walls — true
C. 5/3 cans will paint 5 walls — true
D. 2 cans will paint 6 walls, not 8.
E. 5/2 cans will paint 15/2 = 7 1/2 walls, not 10.
F. 11/3 cans will paint 11 walls — true
1a) f(x) = I x+2 I. This is a piece-wise graph ( V form)
x = 0 →f(x) =2 (intercept y-axis)
x = -2→f(x) = 0 (intercept x-axis)
x = -3→f(x) = 1 (don't forget this is in absolute numbers)
x = -4→f(x) = 2 (don't forget this is in absolute numbers)
Now you can graph the V graph
1b) Translation: x to shift (-3) units and y remains the same, then
f(x-3) = I x - 3 + 2 I = I x-1 I
the V graph will shift one unit to the right, keeping the same y. Proof:
f(x) = I x-1 I . Intercept x-axis when I x-1 I = 0, so x= 1
