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2 years ago

Solve for x. Show your work. -1/2 x < -12

Mathematics

2 answers:

ziro4ka [17]2 years ago

7 0

-1/2x < -12 ....multiply both sides by -2, and change inequality sign
x > -12 * -2
x > 24

lesantik [10]2 years ago

3 0

All you need to do is divide -1/2 onto the other side.

-1/2x<-12

-12/ (-1/2)= 6 (a negative and a negative equals a positive)

Also, since you are dividing a negative, you flip the sign.

x>6

I hope this helps!
~cupcake

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elixir [45]

Answer:

Step-by-step explanation:

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2 years ago

A.) If log(2x + 3) -log(x - 1) = 3, then the equation in exponential form is 10^3= (2x + 3)(x - 1).

Tomtit [17]

Step-by-step explanation:

One of the logarithm rules states the following:

$log{a} - log{b} = log{\frac{a}{b}}$

For this problem, that means the following:

$log{2x + 3} - log{x - 1} = log{\frac{2x + 3}{x - 1}}$

So now we have the following:

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5 0

2 years ago

What is the distance between ( 8 , − 3 ) (8,−3)left parenthesis, 8, comma, minus, 3, right parenthesis and ( 4 , − 7 ) (4,−7)lef

Elena L [17]

Given Information:

Point 1 = (8, −3)

Point 2 = (4, −7)

Required Information:

Distance between points = d = ?

Answer:

Distance between points = d = √32 = 5.657

Step-by-step explanation:

We are given two points,

(x₁, y₁) = (8, −3)

(x₂, y₂) = (4, −7)

We are asked to find the distance between these two points.

The distance is given by

$d = \sqrt{(x_2 - x_1)^2 +(y_2 - y_1)^2 }$

Substitute the given coordinates into above equation

$d = \sqrt{(x_2 - x_1)^2 +(y_2 - y_1)^2 } \\\\d = \sqrt{(4 - 8)^2 +(-7 - (-3))^2 } \\\\d = \sqrt{(-4)^2 +(-7 +3)^2 } \\\\d = \sqrt{(-4)^2 +(-4)^2 } \\\\d = \sqrt{16 +16 } \\\\d = \sqrt{32} \\\\d = 5.657$