The solution of the inequality is x ≥ -3 and the graph is shown below
<h3>Graph of inequalities </h3>
From the question, we are to determine the graph that represents the given inequality
The given inequality is
−3x + 1 ≤ 10
First, we will solve the inequality
−3x + 1 ≤ 10
Subtract 1 from both sides
−3x +1 -1 ≤ 10 - 1
−3x ≤ 9
Divide both sides by -3 and<u> flip the sign</u>
x ≥ -3
The graph of the inequality is shown below
Learn more on Graphing inequalities here: brainly.com/question/13053003
#SPJ1
Answer:(12,-7)
Step-by-step explanation:
The total number of digits used when the first 2002 positive even integers are written is 4 digits
<h3>How to find the number of sequence?</h3>
Using arithmetic sequence,
nth term = a + (n - 1)d
where
- a = first term
- d = common difference
- n = number of terms
a = 2
d = 2
nth term = 2 + (2002 - 1)2
nth term = 2 + 4002
nth term = 4004
learn more on sequence here: brainly.com/question/15456604
#SPJ1
Answer:
Width=10
Length=18
Step-by-step explanation:
The length is 2 feet less then twice the width
Let the width be x.
Then the length is 2x -2 based on the given information. Use this to make an equation since it is known that the area is 180feet squared.
x(2x-2)=180
2x^2 - 2x - 180 = 0
2( x^2 - x - 90) = 0
We now have a factorable quadratic.
2(x+9)(x-10)=0
So by zero product property, x=-9, x=10 Since a measure cannot be negative, -9 is an extraneous solution.
So x=10
Then the width is 10 and the length is 18
Hope this helps! Let me know if it is correct!
Answer: 0.2857
<u>Step-by-step explanation:</u>
At least one teacher means exactly 1 or exactly 2 or exactly 3 teachers. Find the probability of each and add them up.
One teacher + Two teachers + Three teachers = 0.2857
