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Fantom [35]
2 years ago
13

Jillana begins to solve a linear equation that results in a variable expression set equal to the same variable

Mathematics
1 answer:
oksian1 [2.3K]2 years ago
5 0

9514 1404 393

Answer:

  The equation has infinite solutions.

Step-by-step explanation:

When the same expression appears on both sides of the equal sign, the equation has an infinite number of solutions. It is true for all possible values of the variable.

  x = x . . . . is true for all values of x

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Dominic is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The monthly fe
insens350 [35]

The equation for C in terms of t,t, representing the total cost of the gym membership over tt months is C = 150 + 50t

<h3>Equation</h3>

There are three basic types of equation in mathematics. Namely:

  • Linear equations
  • Quadratic equations
  • Simultaneous equations

  • Monthly fee = $50
  • One-time joining fee = $150
  • Total cost = C
  • Number of months = t

C = 150 + 50t

Therefore, the equation for C in terms of t,t, representing the total cost of the gym membership over tt months is C = 150 + 50t

Learn more about equations:

brainly.com/question/2972832

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5 0
1 year ago
Calculate the arithmetic sequence in which a9=17 and the common difference is d=-2.1
jek_recluse [69]

Answer:

S_{31}=71.3


Step-by-step explanation:

The nth term of an arithmetic sequence is given by the formula,

U_n=a_1+(n-1)d


We were given that the 9th term is 17.


\Rightarrow 17=a_1+(9-1)(-2.1)


\Rightarrow 17=a_1+(8)\times(-2.1)


\Rightarrow 17=a_1-\frac{84}{5}


\Rightarrow 17+\frac{84}{5}=a_1


\Rightarrow a_1=\frac{169}{5}


The sum of the first n-terms is given by the formula,


S_n=\frac{n}{2}(2a_1+(n-1)d)


To find S_{31}, we substitute n=31, a_1=\frac{169}{5} and d=-2.1.


\Rightarrow S_{31}=\frac{31}{2}(2(\frac{169}{5}+(31-1)(-2.1))


\Rightarrow S_{31}=\frac{31}{2}(2(\frac{169}{5}+(30)(-2.1))



\Rightarrow S_{31}=\frac{31}{2}(\frac{23}{5})


\Rightarrow S_{31}=\frac{713}{10}


\Rightarrow S_{31}=71.3


The correct answer is D















8 0
3 years ago
Read 2 more answers
chegg tell whether each sequence is arithmetic. if the sequence os arithmetic, identify the common difference and find the indic
spin [16.1K]

No, the given sequence is not an arithmetic sequence.

What is Arithmetic Sequence ?

An arithmetic sequence is a list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.

In the above question,

The sequence is 3,5/2,3/2,-3/2,...

Take the 2nd term and minus the 1st term.

Now take the 3rd term and minus the 2nd term.

We can clearly notice that the differences are not same. Hence there is no common difference and therefore it's not an arithmetic sequence

To read about arithmetic sequence click here :

brainly.com/question/27079755

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5 0
1 year ago
Which of the following correctly completes the square for: x^2+2x=48
Ket [755]

Answer:

(x+1)²= 49, the answer is B

Step-by-step explanation:

x² + 2x = 48

x² + 2x + (2/2)² -  (2/2)²= 48 --[what we are trying to do is to complete a square by adding (2/2)² -  (2/2)²]

(x+1)²= 49, the answer is B

4 0
2 years ago
Read 2 more answers
Please help! I have no clue what im doing
prohojiy [21]

Answer:

y = -2x + 1

Step-by-step explanation:

So, first you can use rise over run between the two points to find the slope.

This will get you -6/3, which you can simplify to -2

Then, see where the y intercept is, which is at (0, 1)

The equation will be y = -2x + 1

4 0
3 years ago
Read 2 more answers
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