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Hatshy [7]
3 years ago
7

Solve the inequalities; 1. |4x + 5| + 2 ≥ 102. |2x + 3| + 6 > 0

Mathematics
1 answer:
slamgirl [31]3 years ago
7 0

Answer:

Number two: x > -9/2, x < 3/2

Number one: x is less than or equal to 3/4, x is greater than or equal to - 13/4

Step-by-step explanation:

Number one:

|4x+5| > 10-2

|4x+5| > 8

4x+5 > 8

-(4x+5) > 8

x > 3/4

x < -13/4

x > 3/4, x < -13/4

(all of these signs are greater than or equal to and less than or equal to)

Number two:

|2x+3| > -6

2x+3 > -6

-(2x+3) > -6

x > -9/2

x < 3/2

x> -9/2, x < 3/2

(all of these signs are correct and not greater than or equal to or less than or equal to)

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Alja [10]

Answer:

3/2

Step-by-step explanation:

2y+3x=3

This represents a linear equation and the format for a linear equation is

y = mx+b

m = slope

b= y-intercept

we have to subtract 3x from both sides to make this the y=mx+b form

2y=-3x+3

and divide both sides by 2

y = (-3x+3)/2

3/2 or 1.5 is the y-intercept

the constant of a linear equation (or 3) is the y-intercept, if there is no constant then the y-intercept is 0

6 0
3 years ago
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son4ous [18]

Answer:

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Step-by-step explanation:

If the sales increase at a rate of 9% per year, this means it will be 109% of the previous year's value since 100% + 9% = 109%

109% in decimal form = 109/100 = 1.09

Therefore, the exponential function is:

y = 20000 \cdot 1.09^x, where x is the number of years

So when x=8,  

y = 20000 \cdot 1.09^8=39851.252...

After 8 years, annual sales = $39,851.25

7 0
2 years ago
Write an equation for the perimeter of the rectangle
jeka94

Answer:

Area = 2(5x - 4) + 2(5x)

Step-by-step explanation:

Perimeter is the sum of twice the width and twice the length of the rectangle. And since the question is asking us for an equation, we need to write, Area = 2(5x - 4) + 2(5x). When you are required to find the value of x with a given area, just plug that area into the equation, distribute, and simplify to get x.

4 0
2 years ago
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Describe how to evaluate the expression 3^2 + (21 - 9) X 6÷2. Can someone help me out, please? I'm having trouble, and my teache
mylen [45]

Answer:

3^2+\left(21-9\right)\times \:6\div \:2=45

Step-by-step explanation:

Given the expression

3^2\:+\:\left(21\:-\:9\right)\:\times \:6\div 2

Follow the PEMDAS order of operations

3^2\:+\:\left(21\:-\:9\right)\:\times \:6\div 2

calculate within parentheses  \:(21-9)=12

=3^2+12\times \:6\div \:2

calculate exponents  3^2=9

=9+12\times \:6\div \:2

Multiply and divide (left to right)

=9+36

Add and subtract (left to right)  12\times \:\:6\div \:\:2=36

=45

Thus,

3^2+\left(21-9\right)\times \:6\div \:2=45

8 0
3 years ago
The diameter of a quarter is 24.26 mm. Find the area
Vinil7 [7]
R=12.13
A=pi×r²
A=pi×12.13²
A≈462.2442041
A≈462.2 (to the nearest tenth).

So the answer is A≈462.2.
6 0
3 years ago
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