Answer:
x = 10 and x = -10
Step-by-step explanation:
Given the function

This function is undefied when the denominator equals to 0. Find these values for x:

This means that vertical lines x = 10 and x = -10 are vertical asymptotes (the graph of the function f(x) cannot meet these lines because this function is undefined at x = 10 and x = -10)
Answer:
Thy bought 150 Sweatshirts (x) and 250 tshirts (y)
Step-by-step explanation:
35x + 25y = 11500
x + y = 400
-25 (x + y = 400) Multiply by -25 to get the y's to disappear when you add the two equations together
-25x - 25y = 10000
<u> 35x + 25y = 11500 </u>
10x =1500
x = 150
Plug 150 in either equation for x to find y
150 + y = 400
y = 250
Ok so domain is all allowed numbers
look at deonomenator and don't allow any numbers that will make it zero
none
that means
domain=all real numbers
vertex
in form
y=a(x-h)^2+k
(h,k)=vertex
we have
y=-2(x+3)^2-1
h=-3
k=-1
vertex=(-3,-1)
range
the vertex opens down so max is y=-1
y≤-1
domain is all real
vertex is (-3,-1)
y≤-1
C
Answer:
(-5, 3)
Step-by-step explanation:
it translated left 2 units => x'= x-2
down 2 units=> y'= y-2
Answer:
(6 , -1)
Step-by-step explanation:
2x+ y = 11 ----------------(I)
y = 11 - 2x --------------------(II)

Multiply the whole equation by 2

x - 10y = 16 --------------------(III)
Substitute y = 11- 2x in equation (III)
x - 10(11 - 2x) = 16
x - 110 + 20x = 16
21x - 110 = 16
21x = 16 +110
21x = 126
x = 126/21
x = 6
Plugin x = 6 in equation (II)
y = 11 - 2*6
y = 11 - 12
y = -1