Answer:
quadrant 1.
Step-by-step explanation:
A:(9,3)
B:(7,5)
C:(5,2)
Hope this helped you.
Answer: =4c^3-7c^2+4c
Step-by-step explanation:
Answer:
sedan = 26 miles/gallon
truck = 17 miles/gallon
Step-by-step explanation:
try to write the text in mathematical format as a system of equations
t=truck s=sedan
first equation can be written as
t= (181-5s)/3
we can use it in the second equation and rewrite it as
7[(181-5s)/3]+6s = 275
7(181/3 -5/3s) + 6s = 275
1267/3 - 35/3s + 6s = 275
-35/3s + 18/3s = 275-1267/3
-35/3s + 18/3s = 825/3 - 1267/3
-35s + 18s = 825 -1267
-17s = -442 s = 442/17 = 26 sedan has an average of 26 miles/gallon
we use this value of s in the first equation
3t + 5*26=181 3t=181-130 t= 51/3 = 17 truck has an average of 17 miles/gallon
Answer:
The domain of function (m.n)x is same as domain of function m(x).
Step-by-step explanation:
Domain: Any set of input values for which the function is defined and valid.
m(x)=x+5/x-1
Domain of m(x) is x>1 or x<1, x≠1, because if x=1 the function will be undefined.
n(x) = x – 3
Domain of x -3 is -∞<x<∞ i.e all real numbers
(m.n)x = (x+5/x-1)(x-3)
= (x+5)(x-3)/x-1
The Domain of (m.n)x is x<1 or x>1 or x≠1 because the function is undefined for x=1
So, the domain of function (m.n)x is same as domain of function m(x).
Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis
change in the value of y = y2 - y1
Change in value of x = x2 -x1
The slope is given as 1/2 and the line passes through (2, - 3)
To determine the intercept, we would substitute x = 2, y = - 3 and m= 1/2 into y = mx + c
y = mx + c. It becomes
- 3 = 1/2 × 2 + c = 1 + c
c = - 3 - 1 = - 4
The equation becomes
y = x/2 - 4
