Answer:
The value of k is -9
Step-by-step explanation:
Subsitute
g(x)=h(x)+k


subtract
from both sides (or add
to both sides)


Start by seeing where the lines go. They cross (intersect) at (1, -1). We can use this to check later.
Now for slope: green is -4/2 = -2
pink is 4/2 = 2
Now we can create the equations
Let's make green = g(x) and pink = p(x)
if we use y = mx + b, then the green has a y-intercept (b) of +1
So g(x) = -2x + 1
pink has a y-intercept of -3, so p(x) = 2x - 3
Now let's plug n play: put our solutions x into each equation and confirm that it makes the y = -1
g(x) = -2x + 1 = -2(1) + 1 = -2+1 = -1
p(x) = 2x - 3 = 2(1) - 3 = 2-3 = -1
✔ YES THEY ARE CONFIRMED
The length and width of the television could be any two numbers whose product is 70.
$24.50*0.3 = $7.35
The answer is $7.35
Twice a number decreased by 11 is -23
Let the number be x
So we get the equation
2x -11 = -23
Add 11 to both sides
2x = -12
Divide both sides by 2
x = -6
So the number is -6
Negative 6