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bogdanovich [222]
3 years ago
9

Let ​​ f(x)=−32x and ​ g(x)=(12)x−1 . Graph the functions on the same coordinate plane. What are the solutions to the equation f

(x)=g(x) ? Enter your answers in the boxes.

Mathematics
2 answers:
Grace [21]3 years ago
8 0
Refer to the attachment for the graph of the two functions in Desmos. To solve for the solution, we just equate the two functions and solve for x:

-32x=12x-1
-44x=-1
x= \frac{1}{44}

For the y value we just substitute x in any of the function:
f( \frac{1}{44})=-32( \frac{1}{44})=- \frac{8}{11}

ANSWER: The solution to the equation f(x)=g(x) is (\frac{1}{44},\frac{-8}{11}).

pochemuha3 years ago
5 0

Answer:

if its for k12 i took the quiz

Step-by-step explanation:

x=-2 , x=0

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A set of data with a mean of 53, and a standard deviation of 6.2 is normally distributed. Find the value of a data point that is
Evgesh-ka [11]

The value of a data point that is -2 standard deviations from the mean

so, 40.6 to 65.4.

<h3>What is the empirical rule?</h3>

According to the empirical rule, also known as the 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95%, and 99.7% of the values lies within one, two, or three standard deviations of the mean of the distribution.

P(\mu - \sigma < X < \mu + \sigma)  \approx 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma)  \approx 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma)  \approx 99.7\%

From the empirical rule, we know that for 95% we are in 2 standard deviations of the mean. so:

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= 40.6

The value of a data point that is -2 standard deviations from the mean

53 + 6.2 + 6.2

= 65.4

Learn more about the empirical rule here:

brainly.com/question/13676793

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7 0
2 years ago
What is the prime factor of 8
ExtremeBDS [4]
Prime factor is a factor that is a prime number.
Prime factors of :
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You can find all of them by using Factor Tree [ as shown in the picture] or Dividing by prime numbers.

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Carl offered to pay jake $0.25 a square foot to paint his fence. The fence measures 109 feet long and 7 feet wide what is the to
Scorpion4ik [409]

Answer:

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Step-by-step explanation:

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A=LW

substitute the values

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\frac{0.25}{1}\frac{\$}{ft^{2}}=\frac{x}{763}\frac{\$}{ft^{2}}\\ \\x=763*0.25\\ \\x=\$190.75

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