To do this we need to move 10 to other side. To accomplish this you just need to add 10 to both side since (-10)
so
A+ 10 = c -10 + 10
we get
A+ 10 = c
lets say it wasn't -10 but positive 10.
A = c + 10 then we would subtract 10 from both sides
A -10 = c + 10 - 10
we get
A - 10 = C
The Number of boys in the class is: 18
Let's call "g" to the number of girls in the class.
The problem says that there is "w" fewer boys than girls, so we have:
g-w=18
Then, the number of girls in the class is:
g=18+w
Let's call "x" to the total number of studens in the class:
x=g+18
When we substitute g=18+w into x=g+18, we obtain:
x= (18+w)+18
The total number of studens in the class is:
x=w+36
Volume of a rectangular prism is length x width x height.
Volume = 8 x 3 x 3 = 72 cubic feet
Given the function modeling the profit:
f(x)=-x^2+16x-60
a)<span>a.determine the vertex. what does this calculation mean in the context of the problem?
The vertex form is given by y=(x-h)^2+k, where (h,k) is the vertex:
y=</span>f(x)=-x^2+16x-60
y=x^2-16x+60
c=(-b/2a)^2
b=16
thus
c=(-16/2)^2=64
hence:
y=x^2-16x+64+60-64
y=(x-8)(x-8)-4
y=(x-8)^2-4
hence the vertex form will be:
y=(x-8)^2-4 the vertex is (8,-4)
The vertex represents the highest point of the graph which is the highest daily profits attained.
b] <span>determine the x-intercepts. what do these values mean in the context of the problem?
</span>let y=0 thus
0=<span>−x2 + 16x − 60
</span>factorizing the above we get:
0=x^2-16x+60
0=x^2-6x-10x+60
0=x(x-6)-10(x-6)
thus
x=6 and x=10
thus the x-intercepts are x=6 and x=10, they represent the breakeven point. The minimum number of units they can sell and not make any profit
Answer:A repeating number
Step-by-step explanation:
It repeats so its a repeating number.