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RSB [31]
3 years ago
5

Help please! Solve the inequality.​

Mathematics
1 answer:
Maru [420]3 years ago
3 0

Answer:

x≤-3 1/2 or x>1

Step-by-step explanation:

The way we solve this is we simply rearrange the equation using algebra.

Step 1) For the first inequality, subtract 1/2 from both sides. This gets x by itself and turns the RHS into -3 1/2.

Step 2) For the second, add 3 to both sides. Once again, x is by itself, and the RHS is equal to 1.

You might be interested in
How to solve -2x^2 + 3x - 9 = 0<br> Can you also give me the steps I really don't understand this?
Maksim231197 [3]

The "no thinking required" way to solve it is using the quadratic formula. That formula tells you the solution to

ax^2+bx+c=0

is given by

x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}

Your equation has a=-2, b=3, c=-9, so the solution is

x=\dfrac{-3\pm \sqrt{3^2-4\cdot (-2)\cdot (-9)}}{2\cdot (-2)}\\\\=\dfrac{3\pm \sqrt{9-72}}{4}=\dfrac{3\pm 3\sqrt{-7}}{4}\\\\x=\dfrac{3}{4}\pm i\dfrac{3\sqrt{7}}{4}

The solutions are complex numbers.

6 0
3 years ago
Element X is a radioactive isotope such that every 11 years, its mass decreases by half. Given that the initial mass of a sample
viva [34]

Answer:

Ending Amount = beginning amount / 2^n  where "n" is the number of half-lives or elapsed time / half-life

For this problem "n" = 25 / 11 = 2.2727272727

Ending Amount = 60 grams / 2^2.2727272

Ending Amount = 60 / 4.832357534

Ending Amount = 12.4162998242 grams

Source: www.1728.org/halflife.htm

Step-by-step explanation:

4 0
3 years ago
Can anyone help me to solve this please?? ​
andre [41]

Answer:

Step-by-step explanation: explique melhor

7 0
3 years ago
Can someone please help me!!!!!!!!!!!!!!!!!!!!!
N76 [4]

Answer:

5x-6+7x+12=180

Step-by-step explanation:

5x+7x = 12x

12x - 6 +12 = 180

add 12 and -6 to get 6.

12x + 6 = 180

      subtract 6 from both sides to get 174.

12x = 174.

now divide both sides by 12 to get x = 14.5 or 29/2 which cancels out to 6

5 0
3 years ago
Please help me with logarithms!
Dmitry [639]

Answer:

x=2ln(2)/(2ln(2)-ln(3))

Step-by-step explanation:

ln(4^x-1)=ln(3^x)

(x-1)ln(4)=ln(3^x)

(x-1)ln(4)=xln(3)

ln(4)x-ln(4)=xln(3)

ln(4)x=ln(3)x+2ln(2)

2ln(2)x-ln(3)x=2ln(2)

(2ln(2)-ln(3))x=2ln(2)

Therefore, x=2ln(2)/(2ln(2)-ln(3))

3 0
4 years ago
Read 2 more answers
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