Answer:
x = -4
x = -6
Step-by-step explanation:
X^2+10x+24=0
(b/2)^2 = (10/2)^2 = 25
X^2+10x+25=-24+25
(x+5)^2 = 1
(x+5) = ± 1
x = +1 -5 = -4
x = -1 -5 = -6
Answer:
Step-by-step explanation:
let number of adult tickets=x
and number of student tickets=y
x+y=137 ...(1)
8x+6y=952
divide by 2
4x+3y=476 ...(2)
multiply by 3
3x+3y=411 ....(3)
(2)-(3) gives
x=65
y=137-65=72
number of adult tickets=65
number of student tickets=72
2.
let number of rose flowers =x
and number of carnation flowers=y
x+y=264
y=264-x
3.50 x+2.50y=772
multiply by 2
7x+5y=1544
7 x+5(264-x)=1544
7 x+1320-5 x=1544
2 x=1544-1320
2 x=224
x=112
y=264-112=152
number of rose flowers=112
number of carnation flowers=152
The monthly earning of two employees are determined by the number of products they sell in that month, plus a fixed amount.
Employee X:
Each month, this employee earns $245 per product sold plus $1,600.
Employee Y:
E = 270p + 1,750, where E is the monthly earnings and p is the number of products sold.
(How much does each employee earn if they do not sell any products that month?
Employee X earns $[?]
Employee Y earns $[?]
Answer:
Step-by-step explanation:
Begin by grouping the x terms and the y terms together and separating the constants out.
Now we'll complete the square on those x and y terms. Take half the linear term of each, square it, and add it to both sides. Our linear x term is 2, half of 2 is 1 and 1 squared is 1, so we add that in. Likewise, half the linear y term (which is 8) is 4, and 4 squared is 16, so we add that in, too. Like this:
Doing this gives us the perfect square binomials for each of the x and y terms, and then gives us the radius on the right:
This is a circle with a center of (1, 4) and a radius of 3.
