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Nataly [62]
3 years ago
12

What is the solution of the equation -14+2x+3=4x-13-7x

Mathematics
1 answer:
Harman [31]3 years ago
4 0

Answer: x= -2/5 or x= -0.4

combine like terms on left side and get -11+2x. then combine terms on right side and get -13-3x. add the 11 to the right side and get 2x= -2-3x

then add over the 3x and get 5x=-2

and finally divide the -2 from 5x and get -2/5

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Solve the following logarithmic equations.<br> log[(x^2 + 2x − 3)^4] = 0
saw5 [17]

Answer:

The solutions are x = 1.24 and x = -3.24

Step-by-step explanation:

Hi there!

First, let´s write the equation:

log[(x² + 2x -3)⁴] = 0

Apply the logarithm property: log(xᵃ) = a log(x)

4 log[(x² + 2x -3)⁴] = 0

Divide by 4 both sides

log(x² + 2x -3) = 0

if log(x² + 2x -3) = 0, then  x² + 2x -3 = 1 because only log 1 = 0

x² + 2x -3 = 1

Subtract 1 at both sides of the equation

x² + 2x -4 = 0

Using the quadratic formula let´s solve this quadratic equation:

a = 1

b = 2

c = -4

x = [-b± √(b² - 4ac)]/2a

x =  [-2 + √(4 - 4(-4)·1)]/2 = 1.24

and

x = [-2 - √(4 - 4(-4)·1)]/2 = -3.24

The solutions are x = 1.24 and x = -3.24

Have a nice day!

4 0
3 years ago
M is proportional to the cube of r. when r=3m,m=216.when r=5 find the value of m
klio [65]

Answer:

The value of m is 1000 for r=5

Step-by-step explanation:

Given that m is proportional to the cube of r

It can be written as:

m \propto\ r^3

When the proportionality symbol is removed a proportionality constant is introduced in the equation.

Let k be the proportionality constant

m = kr^3

Given

r=3,m=216

Putting the values

216 = k(3)^3\\216 = k * 27\\k = \frac{216}{27}\\k = 8

The equation will now become

m = 8r^3

Putting r = 5

m = 8(5)^3\\m = 8 * 125\\m = 1000

Hence,

The value of m is 1000 for r=5

7 0
3 years ago
What is the definition of congruent
Alinara [238K]

Answer:

more ... The same shape and size, but we are allowed to flip, slide or turn. In this example the shapes are congruent (you only need to flip one over and move it a little). Angles are congruent when they are the same size (in degrees or radians). Sides are congruent when they are the same length.

Step-by-step explanation:

happy to help ya:)

3 0
2 years ago
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Through (5,1) , slope 4/5
Anettt [7]

Answer:

Step-by-step explanation:

3 0
3 years ago
I need help with this one too please !i mark brainliest to everyone
denis-greek [22]

Answer:

I believe A is the answer

5 0
2 years ago
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