Answer:
Mixed fraction: 1 and 3/4
Improper fraction: 7/4
Step-by-step explanation:
Mixed: You have 1 whole circle and only three out of four pieces of an other circle
Improper: Add the colored pieces of the two circles together but because the circles are divided into fourths, the number four is the denominator or bottom number. Therefore, you get seven over four(7/4) as the improper fraction
Y - 3 = X + 2 ...............….... (1)
2X - 1 = Y ........................... (2)
From (2),
2X - 1 = Y
Y = 2X - 1
Sub (2) into (1),
(2X-1) - 3 = X + 2
2X - 1 - 3 = X + 2
2X - X = 2 + 1 + 3
X = 6
Sub x=6 into (1),
Y = 2(6) - 1
Y = 12 - 1
Y = 11
<span>The first group is 5 - 9, the second group is 10 - 14 and the third group is 15 - 19. We now find the number of data within the interval 15 - 19. In the given frequency distribution, 17, 15, 18, 19, 19 and 16 are within the interval 15 - 19. Therefore, the frequency of the third group is 6.</span>
Answer:
<h3>27</h3>
Step-by-step explanation:
Given
f(x)= x^2-2 and g(x) = 4f (x)-1
g(x) = 4(x^2-2) - 1
g(x) = 4x²-8-1
g(x) = 4x²-9
Get g(-3):
g(-3) = 4(-3)²-9
g(-3 = 4(9) - 9
g(-3) = 36-9
g(-3) = 27