The values are x= -2 and x =4 of the given function f (x) =-5|x+1| +3
<h3>What is function?</h3>
Function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
According to the question,
The given function is

Here f(x) = -12
Substitute f(x) and solve for x

By subtracting 3 on both sides


By dividing -5 on both sides

We get absolute values for the function.

By subtracting 1 on both sides

Therefore, the values of x are 2 and - 4 of the given function f (x) =-5|x+1| +3
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Answer:
a. closed under addition and multiplication
b. not closed under addition but closed under multiplication.
c. not closed under addition and multiplication
d. closed under addition and multiplication
e. not closed under addition but closed under multiplication
Step-by-step explanation:
a.
Let A be a set of all integers divisible by 5.
Let
∈A such that 
Find 

So,
is divisible by 5.

So,
is divisible by 5.
Therefore, A is closed under addition and multiplication.
b.
Let A = { 2n +1 | n ∈ Z}
Let
∈A such that
where m, n ∈ Z.
Find 

So,
∉ A

So,
∈ A
Therefore, A is not closed under addition but A is closed under multiplication.
c.

Let
but
∉A
Also,
∉A
Therefore, A is not closed under addition and multiplication.
d.
Let A = { 17n: n∈Z}
Let
∈ A such that 
Find x + y and xy


So,
∈ A
Therefore, A is closed under addition and multiplication.
e.
Let A be the set of nonzero real numbers.
Let
∈ A such that 
Find x + y

So,
∈ A
Also, if x and y are two nonzero real numbers then xy is also a non-zero real number.
Therefore, A is not closed under addition but A is closed under multiplication.
Answer: The median, because the data distribution is skewed to the left
EXPLANATION
Given the box plot with the following parameters:
Minimum value at 11
First Quartile, Q1 at 22.5
Median at 34.5
Third Quartile, Q3 at 36
Maximum value at 37.5
First, we notice that the data distribution is skewed to the left because the median (34.5) is closer to the third quartile (36) than to the first quartile
(22.5).
Furthermore, we know that the mean provides a better description of the center when the data distribution is symmetrical while the median provides a better description of the center when the data distribution is skewed.
Therefore, we conclude that for the given box plot, the median will provide a better description of the center because the data distribution is skewed to the left.
Answer: x=16/17
Step-by-step explanation: 56=34x+24 34x+24−24=56−24 34x/34=32/34/2/2
x=16/17
The name of the longest chord in a circle is called a diameter