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bonufazy [111]
2 years ago
6

X - 62 = 123 How should you show your work to isolate the variable and solve the equation?

Mathematics
1 answer:
aliya0001 [1]2 years ago
7 0

Answer:subtract 72 from the sides

Step-by-step explanation: just because I did it in a quiz got it right

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What equation is equivalent to x2 + 20x + 81 = -27? Can you show me how you got the answer please
Alla [95]

The equivalent equation is x² + 20x = -102

<h3>Simplification of quadratic equation</h3>

The equivalent equation can be obtained by factorizing or simplifying the given quadratic equation as shown below;

x² + 20x + 81 = -21

<em>collect similar terms together</em>

x² + 20x + 81 + 21 = 0

x² + 20x + 102 = 0

The equation can also be written as x² + 20x = -102

Thus, the equivalent equation is x² + 20x = -102

Learn more about simplification of quadratic equation here: brainly.com/question/1214333

4 0
2 years ago
A set of numbers is shown below:
Snezhnost [94]
2 because 2(2) + 3 = 7
6 0
3 years ago
Read 2 more answers
18. Determine the common difference, the fifth term, and the sum of the first 100 terms of the following sequence:
Ksenya-84 [330]

a_1=1,\ a_2=2.5,\ a_3=4,\ a_4=5.5,\ ...\\\\a_2-a_1=2.5-1=1.5\\a_3-a_2=4-2.5=1.5\\a_4-a_3=5.5-4=1.5\\a_{n+1}-a_n=1.5=constans\\\\\text{It's an arithmetic sequence with}\\a_1=1,\ \boxed{d=1.5}\\\\a_n=a_1+(n-1)d\to a_n=1+(n-1)(1.5)=1+1.5n-1.5\\\\a_n=1.5n-0.5\\\\a_5=1.5(5)-0.5=7.5-0.5=7\\\boxed{a_5=7}\\\\\text{The formula of a Sum of the First n Terms of an Arithmetric Sequence:}\\\\S_n=\dfrac{2a_1+(n-1)d}{2}\cdot n\\\\\text{We have:}\\a_1=1,\ d=1.5,\ n=100\\\\\text{Substitute}

S_{100}=\dfrac{(2)(1)+(100-1)(1.5)}{2}\cdot100=\dfrac{2+(99)(1.5)}{1}\cdot50\\\\=(2+148.5)\cdot50=150.5\cdot50=7,525\\\\\boxed{S_{100}=7,525}\\\\Answer:\\the\ common\ difference:\ d=1.5\\the\ fifth\ term:\ a_5=7\\the\ sum\ of\ first\ 100\ terms:\ S_{100}=7,525

8 0
3 years ago
HELP PLEASE! 50 POINTS, WILL MARK BRAINLIEST WHOEVER IS FIRST!
Temka [501]

95

Step-by-step explanation:

she would have to get At Least 95 or better to balance it out

4 0
3 years ago
Express each ratio as a fraction in the simplest form.<br> 12 beetles out of 18 insects<br> .
slava [35]

Answer:

2/3

Step-by-step explanation:

12/6=2

18/6=3

so

the fraction is 2/3

i think this is what your teachers means, lmk if thats wrong

3 0
2 years ago
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