Given the function h(x)=x^2+14x+41, to solve by completing square we procced as follows;
x^2+14x+41=0
x^2+14x=-41
but;
c=(b/2)^2
and b=14
hence;
c=(14/2)^2=49
substituting the value of c in the expression we get:
x^2+14x+49=-41+49
x^2+14x+49=8
(x+7)^2=8
this can be written in vertex form;
h(x)=a(x-h)^2+k
where:
(h,k) is the vertex;
thus
(x+7)^2=8
h(x)=(x+7)^2-8
hence the vertex will be at the point:
(-7,-8)
Answer:
Look at the pic
Step-by-step explanation:
I hope I did it right...I haven't touched this topic a long time
Step-by-step explanation:
Let's take cost of 1 hamburger as h and the cost of 1 hot dog as d.
Therefore, we can form the equations:
3h + 2d = 13 and
2h + 4d = 14
2(h +2d) = 14
h + 2d = 7
h = 7 - 2d
By substituting this to the first equation, we get:
3(7 - 2d) + 2d = 13
21 - 4d = 13
4d = 8
d = $2
h = 7 - 2(2)
h = $3
Hence <u>1 hot dog costs $2</u> and <u>1 hamburger costs $3</u>
Answer:
Let's solve for x.
y=12x
Step 1: Flip the equation.
12x=y
Step 2: Divide both sides by 12.
12x
/12
=
y
/12
x=
1
/12
y
Answer: x=
1
/12
y
Step-by-step explanation: Hope this helps :D
