The answer for this problem is X= -103
Answer:
A: -4
B: 4
C: m(x)<h(x) for every x, t.e m(x)>h(x) cann’t be treu for any value of x.
Step-by-step explanation:
I’m not sure what is fubction m. I will suppose it is linear function.
For example m(x)=x/2-2.
Part A: h(4)-m(16)=1/2(4-2)^2 - 16/2-2=2-6=-4
Part B: y-intersection on h(x), we find how is h(0). So h(0)=1/2(0-2)^2=2.
For m(x), m(0)=0/2-2=-2. So their y-intersections are fare away 4. (See photo)
Part C: First we chak if there any intersection between h and m.
1/2(x-2)^2=x/2-2, si we have
x^2-4x+4-x+4=0
X^2-5x+8=0,
D=5^2-4*8=25-32<0, so m and h don’t have intersection, and from graph we can see that for every value of x, m(x) will always be less than h(x).
Photo: blue is h(x), green is m(x)
Answer:
25
Step-by-step explanation:
Given that:
Initial payment done for buying the phone = $50
Charges per month for the phone = $25 per month
To find:
The equation to represent the situation and its slope.
Solution:
First of all, let us assume that
represents the number of months for which monthly is to be made.
Charges paid for one month = $25
Charges paid for
months = $25![m](https://tex.z-dn.net/?f=m)
Total cost of the phone = Initial payment + Charges paid for
months
![C = 25m + 50](https://tex.z-dn.net/?f=C%20%3D%2025m%20%2B%2050)
It is a linear equation between two variables
and
.
This equation can be compared with slope intercept form of a line.
Slope intercept form of a line is represented by:
![y=Mx+c](https://tex.z-dn.net/?f=y%3DMx%2Bc)
is the slope.
On Comparing, we get:
![y = C, M = 25, x = m, c = 50](https://tex.z-dn.net/?f=y%20%3D%20C%2C%20M%20%3D%2025%2C%20x%20%3D%20m%2C%20c%20%3D%2050)
Therefore, the slope is <em>25</em>.
48 + 2x = 180
- 48 - 48
----------------------------
2x = 132
-----------------
2
x = 66