Solution:
As given , g(x)= f(x) + k --------(1)
As also given : f(x) =
(x+2)
g(x) =
(x+5)
Putting the value of f(x) and g(x) in equation (1).
→
(x+5) =
(x+2) + k
→
= k
→ k =
So , the value of k is 1.
Let the number be the variable x
4 times the number is 4x
the sum of 8 and 4 times a number is 28
4x+8=28
4x=28-8
4x=20
x=20/4
x=5
Answer:
Here the given table,
Outcomes Red yellow blue Misses
Frequency 10 35 48 7

Here, Sample size = 100
Hence, By the above table,
The relative frequency of landing on red
=
The relative frequency of landing on yellow
=
The relative frequency of landing on blue
=
The relative frequency of landing on misses
=
Thus, the event of landing in red region has a relative frequency of 0.1,
which means the dart landed in red region about 10% of the time.
The answer for the surface area of the box is 100
The problem is already in standard form but to get it into slope intercept form you rewrite the equation so it looks like
6y=-5x+7 divide all by 6
y=-5/6x+7/6
slope being -5/6 and b being 7/6