Answer:
19 letters
Step-by-step explanation:
Suppose Number of Amy's full name letters = X
Number of Stephanie's full name letters = Y
Now, according to given condition that ''number of letters in Stephanie's full name is sixteen less than twice the number of letters in Amy's full name'',
Equation 1 becomes
Y = 2X-16
Now, according to second condition, product of their names' letter is 418. So,
Equation 2 becomes
XY = 418
Deducing value of X from equation 1,
X = (Y+16)/2
Putting this value in equation 2 we get,
{(Y+16)/2}*Y = 418,
By simplifying this equation we get a quadritic equation
(Y^2)+16Y-836=0
By breaking middle term (You can use quadratic formula here as well)
(Y^2)+38Y-22Y-836=0
Y(Y+38)-22(Y+38)=0
(Y-22)(Y+38)=0
At this stage we have two values for Y,
Y=22, or Y=-38
Now considering only positive value since the number of letters in a name can not be in negative number,
Y=22,
So X=(Y+16)/2
X=19
The answer is $204.Hope this helps.
Answer:
A. yes, the data represents a function because u have no repeating x values. A function cannot have repeating x values...they can have repeating y values, just not the x ones
Step-by-step explanation:
B. table : (8,8)(12,12)(14,16)(16,16)
look at ur points...when x = 8, y = 8...so the table, when x = 8 has a
value of 8
relation : f(x) = 8x - 5....when x = 8
f(8) = 8(8) - 5
f(8) = 64 - 5
f(8) = 59....and the relation has a value of 59
Therefore, the relation has a greater value when x = 8 <==
C. f(x) = 8x - 5...when f(x) = 19
19 = 8x - 5
19 + 5 = 8x
24 = 8x
24/8 = x
3 = x <==
If the length is 7/6 the width w then the perimeter is w + (7/6)w + w + (7/6w)
= 2((7/6)w + w) = 2w + (14/6)w = (26/6)w = (13/3)w.
So the answer is the last one.
3 < x < 13
This is because the sum of two sides must be greater than the length of the third side.
