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Alexus [3.1K]
3 years ago
5

What are the values of x in the equation x(x-6)=4(x+6)?

Mathematics
1 answer:
Kitty [74]3 years ago
5 0
x(x-6)=4(x+6)\\
x^2-6x=4x+24\\
x^2-10x-24=0\\
x^2+2x-12x-24=0\\
x(x+2)-12(x+2)=0\\
(x+2)(x-12)=0\\
x=-2 \vee x=12
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Which system of equations could be graphed to solve the equation below? log Subscript 0. 5 Baseline x = log Subscript 3 Baseline
Vanyuwa [196]

You can use the fact that two expressions in equality can be considered to be equal to a third variable(not used in given context).

The system of equations that could be graphed to solve the equation given is

  • y = \log_{0.5}(x)\\\\
  • y = \log_3(2+x)

<h3>How can we form a system of equations from an equation?</h3>

Suppose the equation be a = b\\

Let there is a symbol c such that we have a = b = c

It is because a and b are same measure (that is exactly what a = b means)

and we gave another name c to that measure.

Thus, we have

a = c\\b = c

in addition to  a = b\\

<h3>Using the above method to find the system of equations needed</h3>

Since the given equation is log_{0.5}(x) = log_2(2+x)

The 2d graphs are usually expressed as y = f(x) on X-Y plane.

Taking the equation's expressions equal to y, we get

log_{0.5}(x) = log_2(2+x) = y

or, we get system of equations as

y = log_{0.5}(x)\\\\y = log_3{(2 + x)}

Their graph is plotted below. The intersection point of both curves is the solution to the given equation as it satisfies both the equations of the system of equations formed from the given equation.

Thus,

The system of equations that could be graphed to solve the equation given is

  • y = \log_{0.5}(x)\\\\
  • y = \log_3(2+x)

Learn more about solutions to system of equations here:

brainly.com/question/14550337

4 0
3 years ago
Cara saw an advertisement claiming 5 out of 6 students prefer talking on the phone over texting. She predicts that 500 out of 60
Sever21 [200]
5/6 is not the definite ratio, when you take a larger sample size it could be off by a bit like 499/600 or 501/600
8 0
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A tile factory earns money by charging a flat fee for delivery and a sales price of $0.25 per tile. One customer paid a total of
Elan Coil [88]

The answer is 1.C 2.$500

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3 years ago
7m-q=23 it needs to be translated into a sentence.
dexar [7]

Step-by-step explanation:

→ 7m – q = 23

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3 0
2 years ago
Please help asap! Due tonight!
oksano4ka [1.4K]

Answer:

Second choice, 3

Step-by-step explanation:

a^2 + b^2 = c^2

4^2 + b^2 = 5^2

16 + b^2 = 25

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b = 3

7 0
3 years ago
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