Answer:
7
Step-by-step explanation:
Given that there are 5 number cards.
They are 2,5,7,8,9
Total of all numbers in the cards = 2+5+7+8+9= 31
One card is removed say with number x.
Now sum new would be =31-x .. i
Average of remaining 4 cards = 6
So sum of remaining 4 cards = 6(4) = 24 ... ii
i and ii represent the sum of remaining 4 cards. Hence they should be equal
31-x =24
Subtract 31 from both sides to get
-x=-7
Or x =7
Answer:
5y = x + 11
Step-by-step explanation:
Given parameters:
Equation of the line ;
y = -5x + 1
Coordinates = (2, -1)
Find the equation of a line perpendicular;
Solution:
A line perpendicular to y = -5x + 1 will have slope that is a negative inverse of the given one.
Equation of a straight line is expressed as;
y = mx + c
y and x are the coordinates
m is the slope
c is the y-intercept
So, the slope of the new line perpendicular is
;
Now let us find the y-intercept of the new line;
x = -1 and y = 2
2 =
x (-1) + c
c = 2 +
=
The equation of the new line is;
y =
x +
or multiply through by 5;
5y = x + 11
Answer:
-5
Step-by-step explanation:
-7u+9=2
-7u=2-9
-7u=-7
7u=7
u=7/7
u=1
3(1)-8=3-8=-5
Answer:
The graph has a removable discontinuity at x=-2.5 and asymptoe at x=2, and passes through (6,-3)
Step-by-step explanation:
A rational equation is a equation where

where both are polynomials and q(x) can't equal zero.
1. Discovering asymptotes. We need a asymptote at x=2 so we need a binomial factor of

in our denomiator.
So right now we have

2. Removable discontinues. This occurs when we have have the same binomial factor in both the numerator and denomiator.
We can model -2.5 as

So we have as of right now.

Now let see if this passes throught point (6,-3).


So this doesn't pass through -3 so we need another term in the numerator that will make 6,-3 apart of this graph.
If we have a variable r, in the numerator that will make this applicable, we would get

Plug in 6 for the x values.



So our rational equation will be

or

We can prove this by graphing
Answer: the first bubble is 144, the last bubble is 3
Step-by-step explanation:
at 0 seconds the height is 144. at 3 seconds the height is 0.