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olga_2 [115]
3 years ago
5

Which is a counterexample to this conjecture?

Mathematics
2 answers:
Svetradugi [14.3K]3 years ago
3 0
The answer is C.

33,21,and 15 are all composite numbers. Meaning that they had factors other than 1 and themselves. 13 is a prime number because 13 only factors are 1 and itself.
leonid [27]3 years ago
3 0
<span>C. 6 + 7 = 13</span>
because 6 and 7 are consecutive integers, but 13 is not a composite number.
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torisob [31]

Answer:

  • 163 in²

Step-by-step explanation:

To find the area, I divided the shape into squares and rectangles. Then, I found the area of the squares and rectangles and added them,

  • Area = (7 x 7) + (18 x 5) + (6 x 4)
  • => (49) + (90) + (24)
  • => 163 in²

Hence, the area is 163 in.²

7 0
2 years ago
10. A band Martha likes just released a new
irga5000 [103]

Answer:

Buy individual songs

Step-by-step explanation:

Considering that individual 6 songs each $0.99 will cost Martha a total of 6*$0.99=$5.94 and also individual 3 songs for $1.29 will mean he incurrs a sub-total cost of 3*1.29=$3.87

Total cost of buying 9 individual songs will be C=5.94+3.87=$9.81 which is less than the cost of the whole album. Therefore, it is recommended to buy individual songs instead of album for this case since the total cost of individual songs that the buyer is interested in is less than the total cost of an album

5 0
3 years ago
Your local Ford dealership is having a sale. All 2008 model trucks have been reduced by 15% and for a limited time, all tra
vekshin1

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5 0
3 years ago
Y = 4x + 2<br> on a graph
miss Akunina [59]
Answer
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4 0
3 years ago
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kvv77 [185]

Option C: 5 x(4 x+7)(3 x+2) is the possible expressions for length, width and height of the prism.

Explanation:

The volume of the rectangular prism is 60 x^{3}+145 x^{2}+70 x

To determine the length, width and height of the rectangular prism, let us factor the expression.

Thus, factoring 5x from the expression, we have,

5 x\left(12 x^{2}+29 x+14\right)

Let us break the expression 12 x^{2}+29 x+14 into two groups, we get,

5x[\left(12 x^{2}+8 x\right)+(21 x+14)]

Factoring 4x from the term 12 x^{2}+8 x , we get,

5x[4 x(3 x+2)+(21x+14)]

Similarly, factoring 7x from the term 21 x+14 , we get,

5x[4 x(3 x+2)+7(3x+2)]

Now, let us factor out 3x+2, we get,

5 x(4 x+7)(3 x+2)

Hence, the possible expressions for length, width and height of the prism is 5 x(4 x+7)(3 x+2)

Therefore, Option C is the correct answer.

8 0
2 years ago
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