Answer:
d. (1, 3) and (-3, -1)
Step-by-step explanation:
Equating the expressions for y, we have ...
... x² +3x -1 = y = x +2
Subtracting x+2 gives ...
... x² +2x -3 = 0
... (x +3)(x -1) = 0 . . . . . factored form
... x = -3, 1 . . . . . . . . . . .values that make the factors zero
The second equation tells us, y = x+2, so
... For x = -3, y = -3 +2 = -1. The solution is (-3, -1)
... For x = 1, y = 1 +2 = 3. The solution is (1, 3)
Let j = cost of one jumbo popcorn, and c = cost of one chocolate chip cookie.
Then, based upon the given info, 1j + 2c = $5.
Also, 3j + 5c = $14.50
Let's solve this system of equations using addition/subtraction:
Mult. the first equation by -3, to obtain -3j - 6c = -$15
Now add this result to the 2nd equation:
-3j - 6c = -$15
3j + 5c = $14.50
----------------------
-c = -$0.50, or c = $0.50. Since 3j + 5c = $14.50, subst. $0.50 for c
lets us find j:
3j + 5($0.50) = $14.50, so 3j = $12.00. Thus, j = $4.00.
Jumbo popcorn is $4/bag, and choc. chip cookies $0.50 each.
In this question , we have a diagram given, and we have to find the another name of ZY .
First we have to see, what ZY represents here.
According to the diagram , ZY represents a line segment since it has two end points Z and Y .
Now we have to check can be name it differently .
And as we see that V is on ZY. So we can also write ZVY for ZY .
Answer:
Step-by-step explanation:
According to the given situation, the calculation of volume of the solid is shown below:-
Here we will consider the curves that is
Now, rotating the line for the line x which is equals to 7
So, the inner radio is
7 - 7 = 0
and the outer radius is
Now, the area of cross section is
The volume is
now we will put the values into the above formula
After solving the above equation we will get
Answer:
-1.25
-1.30
-1.50
-1.75
Step-by-step explanation:
There's more than 4 correct answers but...