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dalvyx [7]
2 years ago
12

Graph -5x + 2 > 3y and 3x-4y <3

Mathematics
1 answer:
Sladkaya [172]2 years ago
4 0

Answer:

Below!

Step-by-step explanation:

Solve for  y.

Rewrite in slope-intercept form.

Use the slope-intercept form to find the slope and y-intercept.

Any line can be graphed using two points. Select two  x  values, and plug them into the equation to find the corresponding  y  values.

Graph the line using the slope and the y-intercept, or the points.

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The population of a town is increasing at a rate of 6.2% per year. The city council believes they will have to add another eleme
kow [346]

Answer:

The correct solution is "4.6".

Step-by-step explanation:

Given:

Interest rate,

r = 6.2%

or,

 = 0.062

Amount,

A = 100000

Principle,

P = 76000

As we know,

⇒ A=P(1+\frac{r}{100} )^n

On substituting the values, we get

⇒ 100000=76000(1+\frac{6.2}{100} )^n

⇒ (1+0.062)^n=\frac{100}{76}

On taking log both sides, we get

⇒ n \ log_e(1.062)=log_e(\frac{100}{76} )

⇒                   n=\frac{ln(\frac{100}{76} )}{ln(1.062)}

By putting the values of log, we get

⇒                      =4.5622

or,

⇒                      =4.6

5 0
2 years ago
Eugene noticed the temperature had dropped by 8 degrees from 17. What was the new temperature?
zubka84 [21]

Answer:

9 degrees

Step-by-step explanation:

given:

Initial temperature : 17 degrees

temperature change = reduction by 8 degrees (i.e - 8 degrees)

hence the final temperature

= initial temperature + temperature change

= 17 + (-8)

= 17 - 8

= 9 degrees

8 0
3 years ago
Solving absolute value equation <br> |17(5)|+|3(8)-5|
Alex787 [66]

Answer:

104

Step-by-step explanation:

5 0
3 years ago
P(-3,6), Q(-3,-6) and R(6,-2) are the vertices of a triangle. Calculate the perimeter of this triangle.​
Eva8 [605]

Answer:

33.89

Step-by-step explanation:

the side lengths are the distances between the corner points of the triangle.

P and Q have the same x value, and they therefore create a side parallel to the y-axis. and it is easy to find the length of this side : it is just the difference of the y values.

PQ = 6 - (-6) = 6 + 6 = 12

QR and RP are trickier.

we need Pythagoras to calculate the length of the direct connection between these points as the Hypotenuse of the right triangles with the differences in x and in y values as the other sides.

QR :

QR² = (-3 - 6)² + (-6 - -2)² = (-9)² + (-4)² = 81 + 16 = 97

QR = sqrt(97) ≈ 9.848857802

RP :

RP² = (6 - -3)² + (-2 - 6)² = 9² + (-8)² = 81 + 64 = 145

RP = sqrt(145) ≈ 12.04159458

the perimeter/circumference of the triangle is the sum of all 3 sides

= 12 + sqrt(97) + sqrt(145) ≈ 33.89

3 0
3 years ago
1 ≥ x - 9 <br> Find out what x means.
BigorU [14]
So first +9 to both sides to isolate the variable. Then you’ll be left with 10 is greater than or equal to x. So if you switch the terms around it’ll be x is less than or equal to 10. Values that are less than or equal to 10 are like 10,9,8,7,etc.
6 0
2 years ago
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