1) The scenario is represented by the equation 1/8(x+16)=76/8, where x is the food bill.
2) The total food bill is represented by the equation x=60.
Both of these responses are correct.
Step-by-step instructions:
Because there are eight buddies in the group, the total money spent by them is $76 (including the $16 tip).
Our equation can be as follows if x is the food bill:
76/8 = (x+16)/8
Solving the Problem
9.5 = (x+16)/8
9.5*8 Equals x+16
x=76 -16 x=76 -16 x=76 -16 x=
60 = x
The cost of food is x=60.
Answer:
D. y = one divided by eightx2
Step-by-step explanation:
The standard form of the equation of the parabola with a focus at (0, 2) and a directrix at y = -2 is y = one divided by eightx2.
Answer:
(5,-2)
Step-by-step explanation:
Here, we want to find the coordinates of point after reflection on both x and y axes
After reflection given that the line is y = x
The new points become (y,x)
And as such in this case, we have (5,-2)
Answer:
9/2 [ cos(15x) + cos(3x) ]
Step-by-step explanation:
9cos(6x) . cos(9x) can be expressed as
= 9/2 * 2cos (6x) * cos(9x) next here we will apply the rule
2cosA . cosB = cos(A+B) + cos( A-B)
where A = 6x , B = 9x
hence : 9cos(6x) . cos(9x) expressed as a sum will be
= 9/2 * [cos( 6x+ 9x) + cos( 6x - 9x ) ]
= 9/2 [ cos (15x ) + cos(-3x) ]
the final sum = 9/2 [ cos(15x) + cos(3x) ]
Answer:
The answer is C 10.
Step-by-step explanation:
Since there is a parentheses around 2⁴, we know that we are multiplying the exponent in (2⁴) by 3. This will give us a product of 2¹².
Since 2¹² is set equal to 2² x 2^n, we know that whatever n equals will be added to the exponent of 2 to get 12.
We know this because since there are no parentheses, when we see the x (multiplication sign) we know that we are adding and not multiplying.
2^12 - 2² = 2¹⁰. So our answer is C. 10
