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professor190 [17]
2 years ago
5

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

Mathematics
1 answer:
dedylja [7]2 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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Expand and simplify 2/5(p+15)-1/3(9+6p)+4/5p
Pavlova-9 [17]
2/5p+6-3-2p+4/5p
-2p+6/5p+6-3+4
-10/5p+6/5p+3+4
-4/5p+7
-0.8p+7

7 0
3 years ago
0.12x - 1.5= 0.24x - 0.06
Sophie [7]

To solve this equation, lets move all of the variables to one side of the equation and the constants to the other.

0.12x - 1.5 = 0.24x - 0.06

Subtract 0.12x from both sides of the equation

-1.5 = 0.12x - 0.06

Add 0.06 to both sides of the equation

-1.44 = 0.12x

Divide both sides by 0.12 to isolate x

x = -12

5 0
3 years ago
What is the value of c in the equation x^15/x^c =x^6
Galina-37 [17]

Step-by-step explanation:

\frac{ {x}^{15} }{ {x}^{c} }  =  { x}^{6} \\  {x}^{15 - c}  =  {x}^{6}

15 - c = 6

15 - 6 = c

9 = c

c = 9

3 0
2 years ago
14=6n+6-2n solve for n
Anika [276]

Answer:

n=2

Step-by-step explanation:

14=6n+6-2n

Combine like terms

14 = 4n+6

Subtract 6 from each side

14 -6 = 4n+6-6

8 = 4n

Divide by 4

8/4 = 4n/4

2 =n

8 0
2 years ago
Read 2 more answers
Find a quadratic equation whose roots are 1.5 +√2 and 1.5-√2expressing it in the form of ax^2+bx+c+c=0 where a,b and c are integ
Ilia_Sergeevich [38]

0 = f(x) = (x - r)(x - s) = x² - (r+s) + rs

We have r=1.5+√2,  s=1.5 -√2 so r+s = 3 and

rs = (1.5+√2)(1.5 - √2) = 1.5² - (√2)² = 2.25 - 2 = 0.25

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For integer coefficients we mulitply by 4,

g(x) = 4f(x) = 4x² - 12x - 1

Answer:  4x² - 12x - 1 = 0

5 0
3 years ago
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