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professor190 [17]
3 years ago
5

Solve the inequality. 2(4 + 2x) ≥ 5x + 5?

Mathematics
1 answer:
dedylja [7]3 years ago
8 0

Answer: x\leq3

Step-by-step explanation:

The given inequality : 2(4+2x)\geq5x+5

To solve the above inequality, first we need to multiply 2 inside the bracket by using distributive property in left side, we get

8+4x\geq5x+5

Now, Subtracting 4x and 5 on the both sides of the inequality, we get

8+4x-4x-5\geq5x+5-4x-5\\\\\Rightarrow\ 3\geq x

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Is 9.99 rational or irrational
aleksley [76]

Answer:

Rational

Step-by-step explanation:

A rational number can be written as a fraction of the form.

\frac{a}{b}  \: where \: b \ne0

and a and b are integers.

9.99 =  \frac{999}{100}

Hence in this case a=999 and b=100.

Since both are integers with b being a non-zero integer, we conclude that 9.99 is a rational number.

6 0
3 years ago
Pedro makes a base monthly salary of $1500. As a vendor, he must sell $20000 worth of items per month. He also makes a 4% commis
Svet_ta [14]

Answer:

$2540

Step-by-step explanation:

Given parameters:

  Base salary of Pedro = $1500

 Amount of commission on sales  = 4%

 Sales  = $26000

Unknown:

His total salary including base salary and commission  = ?

Solution:

His total salary;

  Total salary  = Base Salary + (percent on commission x sales)

 Total salary  = $1500 + (\frac{4}{100} x $26000)

 Total salary  = $1500 + $1040

  Total salary  = $2540

7 0
3 years ago
Choose the graph of the linear equation, 30x + 75y = 300?
Aleksandr-060686 [28]

Answer:

C

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Please can someone help me solve 10x+5=15
telo118 [61]

Answer: The value of x is 1

Step-by-step explanation:

10x + 5 = 15

Collect the like terms which in this case are the whole numbers "5" and "15")

10x = 15 - 5

10x = 10

Divide both sides by 10

10x/10 = 10/10

x = 1

Thus, the value of x is 1

6 0
3 years ago
Read 2 more answers
A segment in the complex plane has a midpoint at –1 + i. If the segment has an endpoint at –5 – 7i, what is the other endpoint?
saul85 [17]

Answer:

Option D. 3 + 9i

Step-by-step explanation:

We know that the formula to find the middle point is:

(\frac{x_1 + x_2}{2},\frac{z_1 + z_2}{2})

We know that the middle point is:

-1 + i

And the end point (x_2, z_2) is: -5 -7i

We wish to find the point x_1,z_1

So we can write the following equation

\frac{x_1 + (-5)}{2} = -1                   (i)

and

\frac{z_1 + (-7i)}{2} = i                     (ii)

Now we clear x_1 from equation (i) and clear z_1 from equation (ii)

For equation (i) we have:

-2 = x_1 -5 \\\\x_1 = 3

For equation (ii) we have:

2i = z_1 -7i\\\\z_1 = 9i

Then the initial point x_1, z_1 is: 3 + 9i

The correct answer is the last option 3 +9i

3 0
3 years ago
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