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mylen [45]
2 years ago
5

Given the following linear function sketch the graph of the function and find the domain and range. f( x ) = 2/7 x− 2

Mathematics
1 answer:
Savatey [412]2 years ago
4 0

Answer:

Domain: All Real Numbers Range: All Real Numbers

Step-by-step explanation:

The domain and range is going to be infinite. The linear function will be using the x and y- axis in order to continue being a function. The y-intercept will be -2 on the y-axis. I recommend using the rise-over-run method for your slope value. from the point (0, -2) on the y-axis. Go up two on the y-axis, and right 7 on the x-axis.

Sorry, it may be difficult to explain through words.

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What are the possible values of x in 8x2 + 4x = -1?
Westkost [7]

Answer:

The possible values of x are:

x= \frac{-1+\sqrt{3}}{4} \,\,or\,\, x= 0.18

and

x= \frac{-1-\sqrt{3}}{4} \,\, or \,\, x= -0.68

Step-by-step explanation:

8x^2+4x+1=0

Using Quadratic formula to solve this equation:

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\a = 8 \,\, b = 4\,\, c = -1\\Putting \,\, values \,\, in \,\, the\,\, equation\\x= \frac{-4\pm\sqrt{(4)^2-4(8)(-1)}}{2(8)}\\x= \frac{-4\pm\sqrt{16+32}}{16}\\x= \frac{-4\pm\sqrt{48}}{16}\\x= \frac{-4+ \sqrt{48}}{16} \,\, and \,\, x= \frac{-4- \sqrt{48}}{16}\\x= \frac{-1+ \sqrt{3}}{4} \,\, and \,\, x= \frac{-1- \sqrt{3}}{4}

The possible values of x are:

x= \frac{-1+\sqrt{3}}{4} \,\,or\,\, x= 0.18

and

x= \frac{-1-\sqrt{3}}{4} \,\, or \,\, x= -0.68

4 0
3 years ago
Is 3.1141141114 rational or irrational?
tatyana61 [14]
Stops or repeats, the number is rational. does not stop and does not repeat, the number is irrational.
4 0
3 years ago
Luke’s that seven pieces of wood on top of one another if each piece was 4/8 of a foot tall how tall was his pile
Ludmilka [50]

Answer:

6 1/2 feet or 78 inches tall

Step-by-step explanation:

You have to multiply 4/8 by 7/1

First you multiply the nominators: 4 × 7 = 28

Then you multiply the denominators: 8 × 1 = 8

So the fraction would be 28/8 and it simplifies to 7/2

You can turn it into an improper fraction by seeing how many times 2 will go into seven evenly, which would be 6 times with 1 half left over

Therefore it would be 6 1/2 feet or 78 inches tall

8 0
3 years ago
Nina works at an hourly rate of $12.25 per hour and worked 46 hours last week. She earns overtime for hours exceeding 40 hours.
Alenkinab [10]

Answer:

$600.25

Step-by-step explanation:

12.25 per week

46hrs last week

40+ = overtime

Overtime = t*1.5

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

46-40= 6hrs of overtime

40*12.25= 490 - this is her money for working 40hrs.

To figure out the money amount of overtime pay--- 12.25*1.5= 18.375 (18.38)

<em>18.38*6= 110.25</em>

add now

<em>110.25+490= $600.25</em>


=) ~i hope i helped~ =)

6 0
3 years ago
Evaluate each logarithm. Do not use a calculator. ln ^3 square root e^4
Alona [7]

Answer:

\large\boxed{\ln\sqrt[3]{e^4}=\dfrac{4}{3}}

Step-by-step explanation:

\text{Use}\\\\\sqrt[n]{a^m}=a^\frac{m}{n}\\\\\ln a^n=n\ln a\\\\\ln e=1\\-----------\\\\\ln\sqrt[3]{e^4}=\ln e^\frac{4}{3}=\dfrac{4}{3}\ln e=\dfrac{4}{3}\cdot1=\dfrac{4}{3}

6 0
3 years ago
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