Mode is the number that occurs the most so here the mode is 56
After solving the equation, x < -3 is the value of inequality 2-3 x<11
⇒ 2-3x < 11
⇒ -3x < 11 - 2
⇒ -3x < 9
⇒ x < -9/3
⇒ x < -3
<h3>How to solve an equation?</h3>
To solve linear equations, utilize the steps that are provided below.
- Remove parentheses from each side of the equation and combine similar terms to make it simpler.
- To separate the variable term on one side of the equation, use addition or subtraction.
- To find the variable, use division or multiplication.
- The common denominator can be multiplied by each side of the equation to eliminate fractions.
Lets take an example of solve z for 7z – (3z – 4) = 12
Here is no multiplication or division, so this will be easy to solve
⇒ 7z – (3z – 4) = 12
⇒ 7z – 3z + 4 = 12
⇒ 4z = 12 – 4
⇒ 4z = 8
⇒ z = 8/4
⇒ z = 2
See, that was so simple, using the mentioned methods, every linear equation can be solved easily.
Learn more about linear equations
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The 50th term in the sequence is 199
Arithmetic sequence
The nth term of an arithmetic sequence is expressed as:
Tn = a+ (n - 1)d
where:
- a is the first term
- n is the number of terms
- d is the common difference
The sequence formed by the amount of Whatchamacallits produced as;
3, 7, 11, 15...
a = 3
d = 11-7 = 7-3 = 4
Substitute
Tn = 3 + (n-1) * 4
Tn = 3 + 4n -4
Tn = 4n - 1
Hence the explicit formula that models the production for the nth term of the sequence is Tn = 4n - 1
If n = 50
T50 = 4(50) - 1
T50 = 199
Hence the 50th term in the sequence is 199
Learn more on sequence here; brainly.com/question/6561461
Answer:
y=-1/3x-8
Step-by-step explanation:
y-y1=m(x-x1)
y-(-9)=-1/3(x-3)
y+9=-1/3x+3/3
y+9=-1/3x+1
y=-1/3x+1-9
y=-1/3x-8
