Answer:
-30 - 4n
Step-by-step explanation:
-34, -38, -42, -46, -50 ...
the sequence first term is -34
a= -34
Common difference (d) = T2 - T1 = T3 - T2
d = -38- -34 = -42 - - 38 = -38+34
d = -4
Formula for nth term
Tn = a + (n-1)d
Tn = -34 + (n -1)-4
Tn = -34 -4n + 4
Tn = -30 - 4n
= -30 - 4n
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We can solve this by using the formula:
(x, y) (x + a, y + b) = (5,-4) (-2,1)
So, plugging in the values and solving for a and b,
5 + a = -2
a = -8
-4 + b = 1
b = 5
Therefore, the translation is
(x,y) (x - 8, y +5)
Answer:
Let two consecutive multiples of 3 be x and (x+3)
A/q,
x * (x+3) = 648
➡ x² + 3x = 648
➡ x² + 3x -648 = 0
➡ x² + 27x - 24x -648 = 0
➡ x ( x + 27 ) -24 ( x +27)
➡ ( x - 24) ( x + 27)
➡ x = 24 and x = -27
so, we take x = 24.
Required multiples of 3
➡ x = 24
➡ x +3 = 24+3 = 27.
8) 5 + 4 + 2 = 11
Since there are 5 guavas, the correct answer is B. 5/11
9) 3 + 4 = 7
Since there are 4 blue papers, the correct answer is A. 4/7
10) Count all of the numbers and add them. There are 4 twos, 2 fives, and 1 three:
4 + 2 + 1 = 7
Since there are 4 twos, the correct answer is C. 4/7