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lapo4ka [179]
3 years ago
9

3. Two lines or equations are described in each part. Decide whether each system has one solution, no solution, or infinitely ma

ny solutions. Show your work or explain your reasoning.
(a) Line a has a rate of change of 7.
Line b has a rate of change of -7



(b)2x+3y=5.5
4x+6y+11




(c) Line c and line d are parallel
Mathematics
2 answers:
igomit [66]3 years ago
4 0
A)  slope is 7 for 1 and -7 for the other.  These lines intersect in 1 point only

b) both equations have slope -2/3 and the same intercept, so it is really only one line...infinite solutions

c) parallel lines have 0 solutions
Svet_ta [14]3 years ago
3 0
A) One Solution
B) Infinite Solutions
C) No Solutions
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The sum of the first 12 terms of a geometric sequence with 10 as the first term and a common ratio of 0.3 is __________.
BaLLatris [955]

Answer: 14.2638366937

Step-by-step explanation:

A geometric sequence is a sequence in which each term is multiplied by a number, called the common ratio, to get the next term.

So, if the first term of the geometric sequence is 10 and the common ratio is 0.3, the sequence would be 10, 0.3(10), 0.3 x 0.3 x 10... and so forth. This becomes:

10, 3, 0.9, 0.27, 0.081, 0.00243, 0.00729, 0.002187, 0.0006561, 0.00019683, 0.000059049, 0.0000177147...

You add these first 12 terms to get 14.2638366937.

7 0
3 years ago
Christine's gross monthly salary at her job
jonny [76]

Answer:

  $2587.87 per month

Step-by-step explanation:

The listed deductions are ...

  • 25% withheld for federal income tax
  • 9.3% withheld for California state income tax
  • 6.2% withheld for Social Security tax
  • 1.45% withheld for Medicare Tax
  • 0.9% withheld for SDI- Disability Insurance
  • 5% goes into her retirement 401K account
  • $150 goes to health insurance/ dental for her family

The percentages have a total of ...

  25 +9.3 +6.2 +1.45 +0.9 +5 = 47.85 . . . percent

So, Christine's take-home pay is ...

  $5250(1 -0.4785) -150 = $2587.87 . . . per month

7 0
3 years ago
Which statement below best describes the transformation of parallelogram WXYZ to parallelogram W' X' Y' Z'?
Arisa [49]
The answer is B. A reflection across the x-axis.
6 0
3 years ago
Read 2 more answers
suppose someone tells you that she has a triangle with sides having lengths 2.6, 8.1 and 8.6 is this a right triangle? why or wh
yawa3891 [41]
By the converse of the Pythagorean Theorem, if 8.6 ^2 = 8.1 ^2 + 2.6 ^2 , then the triangle is right. 73.96 is not equal to 72.37 so the triangle is not a right triangle.

8.6^2 is greater than (8.1^2 + 2.6^2) which means that the triangle is obtuse.
The obtuse angle is opposite the 8.6 side.
5 0
3 years ago
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Noah drew 22 hearts and 76 circles. What is the ratio of circles to all the shapes?
dimulka [17.4K]
You would make a fraction with circles on the top which would be 76. Then you would add 22 to 76 and get 97 because that is the number of all of the shapes. That would mean your fraction would be 76/97. If u want to simplify that is up to you.
4 0
2 years ago
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