Part a.
The function f(x) = sqrt(x-1) has the domain [1, infinity). We would solve x-1 >= 0 for x to get x >= 1 to ensure that the (x-1) expression is never negative. So the smallest x value we can plug in is x = 1. Recall that applying the square root to a negative number is not defined (assuming you are ignoring complex or imaginary numbers).
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Part b.
Pick any number you want. Then add on some other number. Let's say we pick 7 as our first number. Then let's say we add on 4. That gets us to 11. Add on 4 again and we jump up to 15. Do it again twice more and you have this sequence
7, 11, 15, 19, 23
which is arithmetic since we increase by the same amount (4) each time. The first term is 7 and the common difference is 4.
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Part c.
There are lot of options here. All we need to do is ensure that the slopes of each line are different. This will guarantee that the lines are not parallel. Non-parallel lines will always cross each other one time and one time only.
So one system we could have is
the slopes 2 and 6 are different so the system will have exactly one solution.
The question is about types and number of soultions so you must use b^2-4ac which is the experssion under the root in the quadratic formula
so
if
b^2-4ac=0 then there is one real soultion
if
b^2-4ac<0 then there are two imaginary soultions that differ in the sign between them
if
b^2-4ac>0 then there are two real soultions
so a polynomial is written in the form
ax^2+bx+c=0
so a=-4
b=-4
c=-1
so b^2-4ac=16-16=0
so one real soultion is the answer you are looking
type:real
number:1
Answer:
67.38
Step-by-step explanation:
The linear speed of a person on this Ferris wheel is about 628.2 ft/min.
<h3>What is Linear Speed ?</h3>
As a body travels a circular path, it has both a linear speed and an angular speed. The rate it travels on that path is the linear speed, and the rate it turns around the center of that path is the angular speed. The linear speed (v) and angular speed (ω) are related by the radius (r) or v = rω .
Given that ;
Radius = r = 50 ft
Frequency = f = 2 rev/min
The angular speed is the product of the angular displacement for one complete turn, namely 2π radians per revolution, and the frequency (f). That is, the angular speed is equal to ω = 2πf. Substituting this into the formula for linear speed (v), we get:
v = r (2πf)
= (50 ft) ( 2π / rev) ( 2 rev/min)
= 200π ft/min
≈ 628.2 ft/min
The linear speed of a person on this Ferris wheel is about 628.2 ft/min.
Learn more about linear speed here ;
brainly.com/question/14413779
#SPJ1
.
Answer:
PEMDAS.
parenthesis first, then exponents, next would be mutiplication/division, then lastple add/subtract.
Step-by-step explanation:
first would be 15-7, then the 3^2, etc
