All categories

2 years ago

3x + 5 > 16 x is an integer. Find the smallest value of x.

Mathematics

2 answers:

erma4kov [3.2K]2 years ago

8 0

Answer:

Step-by-step explanation:

Given

3x + 5 > 16 ( subtract 5 from both sides )

3x > 11 ( divide both sides by 3 )

x > $\frac{11}{3}$ , that is

x > 3 $\frac{2}{3}$

If x is an integer then the smallest value of x is 4

Neporo4naja [7]2 years ago

4 0

Answer:

4

Step-by-step explanation:

3x + 5 > 16

3x > 16 - 5

3x > 11

x > 11 / 3

x > 3.6666...

The smallest value would be 4.

You might be interested in

One of the tables shows a proportional relationship. Graph the line representing the proportional relationship from this table i

Mkey [24]

Answer:

Table C

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

Find the value of the constant of proportionality in each table

Table A

For $x=-2, y=-4$ ------> $k=-4/-2=2$

For $x=-1, y=-3$ ------> $k=-3/-1=3$

This table has different values of k

therefore

the table A does not represent a proportional relationship

Table B

For $x=-2, y=-4$ ------> $k=-4/-2=2$

For $x=-1, y=-2$ ------> $k=-2/-1=2$

For $x=1, y=3$ ------> $k=3/1=3$

This table has different values of k

therefore

the table B does not represent a proportional relationship

Table C

For $x=-2, y=-4$ ------> $k=-4/-2=2$

For $x=-1, y=-2$ ------> $k=-2/-1=2$

For $x=1, y=2$ ------> $k=2/1=2$

For $x=2, y=4$ ------> $k=4/2=2$

This table has the same value of k

therefore

the table C represent a proportional relationship

Table D

For $x=-2, y=-4$ ------> $k=-4/-2=2$

For $x=-1, y=-2$ ------> $k=-2/-1=2$

For $x=1, y=2$ ------> $k=2/1=2$

For $x=2, y=6$ ------> $k=6/2=3$

This table has different values of k

therefore

the table D does not represent a proportional relationship

3 0

3 years ago

Read 2 more answers

Which of the following are valid names for the given polygon

barxatty [35]

B,C and D are correct because all of those choices include letters which are arranged in order from left of right.

5 0

3 years ago

What are the solutions of x2 - 2x +37 = 0 ?

ale4655 [162]

Answer:

-39/2 or -19 1/2

Step-by-step explanation:

3 0

2 years ago

How is the graph of the cosine function different from the graph of the sine function? How is it the same?

Salsk061 [2.6K]

Answer:

Similarity:

In Both cosine and sine graphs, a positive and negative number vertically flips the graph and tells whether the graph starts at maximum (positive) or minimum (negative).

Difference:

The difference between the sine and the cosine graph is the point where they start.

The graph of positive cosine starts at the maximum while that of the negative cosine starts at the minimum.

The graph of a positive sine starts at the middle, goes up and then down while that of the negative sine starts at the middle goes down and then up.

8 0

3 years ago

Find the measurement of Angle SPQ

Harrizon [31]

Answer:

146 °

Step-by-step explanation:

sum of angles in circle = 360°

360 - 154-60-86 = 60

60 = UPS

SPQ = UPS + QUP = 60 + 86 = 146°

6 0

2 years ago

Read 2 more answers