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meriva
3 years ago
10

When 2 is added to the difference between six times a number and 5, the result is greater than 13 added to 5 times the number. F

ind all such numbers.
Mathematics
1 answer:
Elina [12.6K]3 years ago
8 0

let x is the number

2 + (6x - 5) > 13 + 5x

2 + 6x - 5 > 13 + 5x

6x - 3  > 13 + 5x

6x - 5x > 13 + 3

         x >  16

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Which is the graph of the linear inequality 2x – 3y < 12?
lora16 [44]

On a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2) and to the left of the line is shaded.

<h3>What are the characteristics of the graph of the inequality?</h3>

Inequality of a graph is represented with the greater then(<), less then(>) or with the other inequity signs. The inequality line on the graph is represented with the dotted lines.

Characteristics of the graph of the inequality-

  • Open circle-When the value of the variable is equal to the given number, then the graph of the inequality has an open circle.
  • Closed circle-When the value of the variable is not equal to the given number, then the graph of the inequality has a closed circle.
  • The ray will move to the right-When the, value of the variable is greater than the number, then the ray will move to the right.
  • The ray will move to the left-When the value of the variable is less than the number, then the ray will move to the left.

The linear inequality given in the problem is,

2x - 3y < 12

The graph of this line is attached below. Here, for the greater than sign, every thing on the left of the graph is shaded, and the line will be dotted because of inequality as shown in the attached image.

Hence, on a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2) and to the left of the line is shaded.

Learn more about the characteristics of graph of the inequality here;

brainly.com/question/62792

#SPJ1

6 0
2 years ago
Optimization problem: what are the dimensions of the lightest open-top right circularcylindrical can that will hold a volume of
vivado [14]
So Volume of cylinder is pi*r^2*h = 1,000 

Then lightest one means you have the smallest surface area. Which is one base and then the area of the surface. SA = pi*r^2 + 2pi*r*h 

So now you have 2 equations, so: 

h = 1,000/(pi*r^2) 
So then SA = pi*r^2 + 2pi*r*(1,000/(pi*r^2) = pi*r^2 + 2,000/r 

Derivative of SA is then 2pi*r -2,000/r^2. Set to 0 

2pi*r-2,000/r^2 =0 --> 2pi*r^3 = 2,000 --> r^3 = 1,000/pi --> r = 10/pi^(1/3) 

Now go back to the volume function: pi*r^2*h =1,000 --> 1,000/(pi*100/pi^(2/3)) = h 
<span>h = 10 / pi^(1/3)</span>
3 0
3 years ago
[ f(x) = 3x + 2<br> g(x) = x2<br> Find gf(5)<br> Find fg(x)
marusya05 [52]

Answer:

gf(5) = 289.

fg(x) = 3x^2 + 2.

Step-by-step explanation:

f(5) =  3(5) + 2 = 17

So gf(5) = 17^2 = 289.

fg(x) =  3(x^2) + 2   (we replace the x in f(x) by g(x)).

= 3x^2 + 2.  

8 0
3 years ago
A polling company reported that ​% of surveyed adults said that Complete parts​ (a) through​ (d) below.
SOVA2 [1]

Answer:

a) 376.66

b) Option 2: No, the result from part (a) could not be the actual number of adults who said that rising gas prices are "quite annoying" because a count of people must result in a whole.

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d) 40.77%

Step-by-step explanation:

a) 37% of 1018 is;

37/100 × 1018 = 376.66

b) Thus, the result in a above is not a whole number. Thus;

No, the result from part (a) could not be the actual number of adults who said that rising gas prices are "quite annoying" because a count of people must result in a whole.

c) from a above a, we got a value of 376.66.

Now the actual number would be preferably an integer. Thus, actual number is approximately 377.

d) percentage of respondents said that cellular phones are not at all harmful = 415/1018 × 100% = 40.77%

8 0
3 years ago
SOLVE PLEASE if the radius of a cylinder is 2/3 the height and the height is 6, what is the area of the cylinder
Charra [1.4K]

Answer:

96π

Step-by-step explanation:

4 0
3 years ago
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