Answer:
x = 6 is a solution of x - 1
7.
Step-by-step explanation:
First, plug in x = 6 into the inequality.
x - 1
7 for x = 6
6 - 1
7
Now, solve.
6 - 1 = 5
5
7
The statement above is true, so x = 6 is a solution to x - 1
7.
Please inform me of any mistakes.
Answer: the restrictions on the domain of (u°v) (x) are x ≠ 2 and which v(x) ≠ 0.
Justification:
1) the function (u ° v) (x) is u [ v(x) ], this is, you have to apply first the function v(x) whose argument is (x), and later the function u (v(x) ) whose argument is v(x).
2) So, the domain of the composed function (u ° v) (x) has to take into account the values for which both functions are defined.
3) The domain excludes x = 2 because v(x) is not defined for x = 2.
4) And the domain must also exclude v(x) = 0 because u is not defined for v(x) = 0.
5) So, in conclusion, the domain is all the real values except x = 2 and the x for which v(x) = 0.
Therefore the resctrictions are x ≠ 2 and v(x) ≠ 0
4/7 can be equivalent to 8/14 (Multiplied top and bottom of fraction by 2)
It can also be equivalent to 12/21. (Multiplied by 3)
16/28.
And so on.
Answer:
(a)

(b)
The distance traveled in 30 seconds is 45 miles
(c)
It takes 85 seconds to go 12.75 miles
Step-by-step explanation:
we are given
An airplane is flying from New York City to Los Angeles
d is the distance traveled in miles
t is time in second
we have equation as

(a)
we have to find speed
we can see that our distance equation is in linear form
For finding speed, we can compare our equation with equation of line
and slope of the line will be speed
because slope is the rate of change

where m is slope
so, we can compare
and we get

so,

(b)
we can plug t=30 and find d

miles
so, The distance traveled in 30 seconds is 45 miles
(c)
we can set d=12.75 and solve for t


So,
It takes 85 seconds to go 12.75 miles
Answer:
Radius, r = 10.64 m
Step-by-step explanation:
The formula of a spherical shaped object is given by :

r is radius of a sphere

So, the radius of a sphere is 10.64 m.