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pickupchik [31]
3 years ago
14

What is the average rate of change from x = -3 to x = 3

Mathematics
1 answer:
andrey2020 [161]3 years ago
5 0
I believe it is -1 since -3 times -1 equals 3 and the rate of change is based on the slope of a line 
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A system of equations is given below. For what value(s) of x is f(x)=g(x) ?
NARA [144]

\large{f(x) = g(x)}   \\  \large{ {x}^{2}  + 3x = x + 3}

Since we are solving the quadratic equation because the highest degree in the equation is second. We arrange in the form of ax²+bx+c = 0.

\large{  {x}^{2}  + 3x - x - 3 = 0}

Combine like terms.

\large{ {x}^{2}  + 2x - 3 = 0}

Solve the equation by factoring.

\large{(x  + 3)(x - 1) = 0} \\  \large{x =  - 3,1}

Hence the values of x that make f(x) = g(x) are -3 and 1.

Answer

  • x = -3,1

Let me know if you have any doubts!

3 0
3 years ago
What temperature is 23 degrees above freezing in fahrenheit
jek_recluse [69]
The temperature that is 23 degrees above freezing is 55 because the freezing level is 32 and you add 23 to that
7 0
3 years ago
What is the quotient in simplest form, 4/5 divided by 8.<br><br> A.1/10<br> B.1/2<br> C.8<br> D.10
Salsk061 [2.6K]
<h3>Answer:  A) 1/10</h3>

=============================================

Work Shown:

(4/5) divided by 8

(4/5) divided by (8/1)

(4/5) * (1/8) .... flip the second fraction and multiply

(4*1)/(5*8)

(4*1)/(5*4*2)

1/(5*2) ... the '4's cancel

1/10

--------------

Alternative method:

4/5 = 0.8 when using a calculator or long division

(4/5) divided by 8 = 0.8/8 = 0.1

0.1 = 1/10

The digit 1 in 0.1 is in the tenths place, so that's why 0.1 = 1/10

Or you could use your calculator to see that 1/10 = 0.1

Another idea is to do

0.1 = 0.1/1 = 0.1/1.0 = 1.0/10.0 = 1/10

here I moved the decimal point 2 spots to the right for the numerator and denominator.

4 0
3 years ago
a company installs 5000 light bulbs each with an average life of 500 hours and a deviation of 100 hours. find the percentage of
Andrei [34K]

Answer:

Probability is 0

Step-by-step explanation:

The key information is that the data is normally distributed.

In a normal distribution, each individual value of hours has a probability equals to zero. It is a continuos distribution which is centered in the mean value, and where the expected value is the average.

As the distribution it is centered in the mean value, and it is symmetrical, then the probabilty of a bulb lasting more than the mean value is 0.5, and the probabilty of lasting less than avergare is 0.5 as well, but each individual valu is 0

8 0
3 years ago
225 is the percent 300
NISA [10]
I assume you are asking what percent is 255 out 0f 300. And the answer to that is 85%
6 0
4 years ago
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