Answer:
the expanded form is (a^2 b^3)/cd = 0
Step-by-step explanation:
Step-by-step explanation:
1. f(x) = 12x + 1
f(-2) = 12(-2) + 1 = -23
f(0) = 12(0) + 1 = 1
f(3) = 12(3) + 1 = 37
2. p(x) = -8x - 2
p(-2) = -8(-2) - 2 = 14
p(0) = -8(0) - 2 = -2
p(3) = -8(3) - 2 = -26
3. m(x) = -6.5x
m(-2) = -6.5(-2) = 13
m(0) = -6.5(0) = 0
m(3) = -6.5(3) = -19.5
4. s(x) = ⅖x + 3
s(-2) = ⅖(-2) + 3 = -⅘ + 3 = 11/5
s(0) = ⅖(0) + 3 = 3
s(3) = ⅖(3) + 3 = 6/5 + 3 = 21/5
5. h(x) = ¾x - 6
h(-2) = ¾(-2) - 6 = -6/4 - 6 = -30/4
h(0) = ¾(0) - 6 = -6
h(3) = ¾(3) - 6 = 9/4 - 6 = -15/4
Step-by-step explanation:
we find the average height of each height first,
t¹= (120+124)/2
=244/2
=122
t²= (124+128)/2
t²= 252/2
t²= 126
t³= (128+132)/2
t³= 260/2
t³= 130
t⁴= (132+136)/2
t⁴= 268/2
t⁴ =134
t⁵= (136+140)/2
t⁵= 276/2
t⁵= 138
so multiplying each height by its frequency we can find the total height, so we have..
total height= (122*7)+(126*8)+(130*13)+(134*9)+(138*3)
= 854+1008+1690+1206+414
= 5172
mean height = total height/total frequency
= 5172/40
=129.3
Answer: The answer is -90
Answer:
X = {0, 1, 2, 3, 4}
Step-by-step explanation:
If X is the number of nonzero digits in a 4-digit PIN with no restriction on the digits, the pin can have up to 4 nonzero digits.
Let's see some examples:
If the PIN is 0000 then X = 4
If the PIN is 2045 then X = 3
If the PIN is 7546 then X = 0
From the previous examples, we can see that the possible values for X are 0, 1, 2, 3, 4.
Thus X = {0, 1, 2, 3, 4}