MATHEMATICS COLLEGE

Which values from the specified set make up the solution set of the inequality?4n<16 ; {1,2,3,4}

Select ALL OF THE correct answers.

A. 1

B. 2

C. 3

D. 4

Answers

Answer 1

Answer:

You may solve this problem in two ways:

If you solve the inequality explicitly (divide both sides by 4), you get

$(4n)/(4) < (16)/(4) \iff n < 4$

So, if $n$ has to be stricktly less than 4, you can only choose 1, 2 and 3 as answers.

Alternatively, you can plug in all of the values you're proposed and check if the inequality holds:

If $n=1$ , you have $4<16$ , which is true.

If $n=2$ , you have $8<16$ , which is true.

If $n=3$ , you have $12<16$ , which is true.

If $n=4$ , you have $16<16$ , which is false.

So, again, only 1, 2 and 3 are solutions.

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Answers

Step-by-step explanation:

p(x≤20)=p(x=-10) +p(x=-5)+p(X=0) +p(x=5) +p(x=10)+ p(X=15)+p(X=20)

This, p(X≤20)=0.20+0.15+0.05+0.1+0.25+0.1+0.15

The expression below is a sum of cubes. 125x3 + 169

Answers

Answer:

$\text{The expression }125x^3+169\text{ is not the sum of cube}$

Step-by-step explanation:

Given the expression

$125x^3+169$

we have to tell the above expression is the sum of cube

The sum of cube is of the form

$a^3+b^3$ → (1)

$Expression: 125x^3+169$

125 is the cube of 5 and 169 is the square of 13

$125x^3+169$

$(5x)^3+13^2$

Comparing above with equation (1), we see the given expression is not the sum of cube

125x^3 = (5x)^3
125x^3 is the cube of 5x.

169 = 13^2
169 is the square of 13, but not the cube of a rational number.

The statement is false.

Evaluate (8 + x) + 62 when x = 4.
A. 38
B. 14
C. 64
O D. 40

Answers

Answer:

74 if thats not an answer 64

Step-by-step explanation:

8+4=12

12+62

Answer:

Step-by-step explanation:

(8+x)+62

(8+4)+62

12+62

Write an explicit equation for the arithmetic sequence
3,7,11,15,19

Answers

Answer:

Arithmetic Sequence:

d=4

Step-by-step explanation:

This is an arithmetic sequence since there is a common difference between each term. In this case, adding 4 o the previous term in the sequence gives the next term. In other words, aₙ=a₁+d(n-1)

ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.

Answers

Answer:

C. Range

Step-by-step explanation:

The inputs of a function are the x-values. The domain represents the set of x-values in a function.

The outputs of a function are the y-values. The range represents the set of y-values in a function.

Answer:

C) Range

Step-by-step explanation:

The Range is the set of possible output values, which are shown on the y-axis while the Domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. No I did not copy the person above me I did this on my own so please don't report me. Hope this helps :)

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