The equation of a straight line is y=mx+b, where m is the slope of the line.
By substituting the given information into this equation, we get:
7=(2/3×1)+b
Now solve to find b, the y intercept:
7=2/3+b
b=19/3
So the equation of the line is y=2/3x+19/3
We know that the formula for calculating distance is:
distance d = velocity v * time t
Calculating for each interval:
1: 25 km/hr for 4 minutes
d1 = (25 km / 60 min) (4 min) = 1.67 km
2: 50 km/hr for 8 minutes
d2 = (50 km / 60 min) (8 min) = 6.67 km
3: 20 km/hr for 2 minutes
d2 = (20 km / 60 min) (2 min) = 0.67 km
The total distance covered is:
d = d1 + d2 + d3
d = 1.67 + 6.67 + 0.67
d = 9 km
The average speed is:
s = 9 km (1000 m / km) / (14 min * 60 s / min)
s = 10.72 m / s
Answer:
C. 8x - 16
D.
+ 6x + 8
A. 2 (x + 3)
B. 7(2 - x)
C. -8x
D. 7x
Step-by-step explanation:
c.
To solve this problem, first, one must distribute, multiply every term inside the parenthesis by the term outside,
2(4x - 8)
=(2)(4x) + (2)(-8)
= 8x - 16
d.
To solve this problem, distribute, multiply every term inside one parenthesis by every term in the other, the combine like terms,
(x + 4)(x + 2)
= (x)(x) + (4)(x) + (2)(x) + (4)(2)
=
+ 4x + 2x + 8
=
+ 6x + 8
a.
Factor, write the given expression as the product of two expressions. Take out a common factor that both terms have,
2x + 6
= 2(x + 3)
b.
Factor this expression, take out a common factor, and rewrite the expression as the product of two other expressions,
14 - 7x
7(2 - x)
c.
Combine like terms,
2x - 10x
= -8x
d.
Combine like terms to solve this problem
3x + 4x
= 7x
Answer: Our required formula becomes :

Step-by-step explanation:
Since we have given that

We need to write a formula for f(b) in terms of b So, it becomes

Hence, our required formula becomes :
