Joel opened a checking account. His bank charges him a service fee of $4.95each month. Assume y = total cost of having the account and x = number of months.

Answers

Answer 1

Answer: y= x • $4.5
it needs to be 20 characters so here’s this ndnsoxid

Answer 2

Answer:

Final answer:

The subject of this question is Mathematics and the grade level is High School. The relationship between the number of months and the total cost of having the account can be represented by the formula y = 4.95x, where y is the total cost and x is the number of months.

Explanation:

The subject of this question is Mathematics

Joel's monthly service fee is $4.95, therefore, each month the total cost of having the account increases by $4.95
In terms of variables, let x be the number of months and y be the total cost of having the account
The relationship between x and y can be expressed as y = 4.95x, where 4.95 represents the monthly service fee and x represents the number of months

Thus, the formula y = 4.95x represents the relationship between the number of months and the total cost of having the account.

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Question one:

The square in the corner means 90°. If you add the interior angles of any triangle together, you get 180. in this case, x is in exterior angle, so you subtract it from 180 to get the interior angle.

38 + 90 + (180-x) = 180

38 + 90 + 180 - x = 180

38 + 90 + 180 - 180 - x = 0

38 + 90 + 180 - 180 = x

128 = x

Question two:

again, adding all the interior angles makes 180°. use this to make the equation.

3x + (5x-6) + 90 = 180

3x + 5x - 6 = 90

8x = 96

x = 12.

x isn't the answer the question wants, however. if you look at the drawing, the angle that's supplementary to 5x-6 is the exterior angle. so,

180 - (5x-6) = the answer

180 - 5x + 6 = the answer

substitute x for 12

180 - 60 + 6 = the answer

126 = x

Question three

again, adding all the interior angles together makes 180°.

(a + 10) + 44 + (180-2a) = 180

a + 10 + 44 + 180 - 2a = 180

-a + 234 = 180

234 - 180 = a

54 = a

however, the question is looking for the exterior angle, not a. in this case, the exterior angle is 2a, so just multiply 54 by 2.

x = 108

Factor the left hand side of the equation into two or more factors 16x^4-121x^2=0

To the fourth power^4
Squared^2

Cimpletly lost help me figure this out please

Answers

  16x⁴ - 121x² = 0
  x²(16x²) - x²(121) = 0
  x²(16x² - 121) = 0
x²(16x² + 44x - 44x - 121) = 0
x²(4x(4x) + 4x(11) - 11(4x) - 11(11)) = 0
  x²(4x(4x + 11) - 11(4x + 11)) = 0
  x²(4x - 11)(4x + 11) = 0
  x² = 0 or 4x - 11 = 0 or 4x + 11 = 0
√(x²) = √(0) + 11 + 11 - 11 - 11
  x = 0   or   4x = 11    or    4x = -11
4 4 4 4
x = 2³/₄   or      x = -2³/₄

Solution Set: {0, ±2³/₄}

Evaluate the expresson when n=8 The product of one fourth and a number increased by 3