Answer:
Step-by-step explanation:
The equation of the line in slope-intercept form is:
y=mx+b
Where m the slope of the line and b the y-intercept.
When two points are given, it's convenient to calculate the slope first.
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
The points are (3,5) and (-2,1):
The equation is now:
To calculate b, we use any of the given points and solve for b. Use (3,5):
Operate:
Solve:
The required equation of the line is:
Answer:
60,000
Step-by-step explanation:
Let the total people in the household be 100%
If 80 percent of the households have cable television, 60 percent of the households have videocassette recorders and the number of households that have both cable television and videocassette recorders is 'x' percent. The number of households having ONLY cable television will be 80-x while households having ONLY videocassette will be 60-x.
To get x, we will have;
80-x + 60-x + x = 100
140-x = 100
x = 140-100
x = 40
This shows that 40% of the households have both cable television and videocassette.
If there are 150,000 households in the city, then the number of households that have both cable television and videocassette recorders could be 40% of 150,000
= 40/100 × 150,000
= 60,000
Number of households that owns both television and videocassette could be from 60,000.
F(x) = -x^2 + 3x + 8
f'(x) = -2x + 3
when f(x) is increasing f'(x) > 0
-2x + 3 > 0
-2x > -3
x < 3/2 or 1.5
So the required interval is (-infinity,1.5).The first choice.
12+5c=c+4
4c=-8
C=-2
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Answer:
210 cm^2
Step-by-step explanation:
The left rectangle is 65 cm^2, the middle rectangle is 60 cm^2, the right rectangle is 25 cm^2, and the two triangles are each 30 cm^2
