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Whitepunk [10]
3 years ago
15

How many solutions does the system of two equations shown have? y=3(x+4) y=3(x-4)

Mathematics
1 answer:
balu736 [363]3 years ago
7 0
There is no solution. if you are using the two equations to solve for y and x.

you can plug one equations into the other.

substituting one of the y gives...
3(x+4)=3(x-4)
÷ both sides by 3 gives x+4=x-4

get x on one side and numbers on the other
x-x =4+4
and x-x will give you a 0 for the left side
therefore 0 = 4+4.. not true.
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.(3x+1)(x-3)<br> Binomial
Dafna11 [192]

Answer:

3x^2−8x−3

Step-by-step explanation:

(3x+1)(x−3)

=(3x+1)(x+−3)

=(3x)(x)+(3x)(−3)+(1)(x)+(1)(−3)

=3x^2−9x+x−3

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5 0
3 years ago
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
What is the following product? (2 square root 7+3 square root 6)(5 square root 2+4 square root 3)
Xelga [282]

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5 0
3 years ago
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GaryK [48]

Answer:

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5 0
3 years ago
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sam plans to walk his dog for a mile he walks him 3/8 of a mile and stops to get a water bottle then he walks 1/8 of a mile and
ryzh [129]

Answer:

1/2 miles or 4/8 mi

Step-by-step explanation:

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