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babunello [35]
2 years ago
9

When Tom found the difference −17 − (−12), he got −29. Complete the statement that explains what Tom might have done wrong.

Mathematics
2 answers:
ad-work [718]2 years ago
8 0

Answer:

- 5

Step-by-step explanation:

Note that - (- 12) = + 12

Thus

- 17 - (- 12) = - 17 + 12 = - 5

It looks like Tom subtracted 12 from - 17, that is - 17 - 12 = - 29

patriot [66]2 years ago
4 0

Answer:-17-(-12)=-5

Step-by-step explanation:when there’s a negative number in parenthesis and there’s a minus outside the parenthesis that majestic the number inside the parenthesis a positive

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11A. Lakewood Towing Company charges $50 plus $4 per mile to tow
aleksandr82 [10.1K]

Answer:

15 miles

Step-by-step explanation:

50 + 4x = 80 + 2x

-50 -2x = -50 -2x

2x = 30

x = 15

7 0
3 years ago
Let A, B, C and D be sets. Prove that A \ B and C \ D are disjoint if and only if A ∩ C ⊆ B ∪ D
ANEK [815]

Step-by-step explanation:

We have to prove both implications of the affirmation.

1) Let's assume that A \ B and C \ D are disjoint, we have to prove that A ∩ C ⊆ B ∪ D.

We'll prove it by reducing to absurd.

Let's suppose that A ∩ C ⊄ B ∪ D. That means that there is an element x that belongs to A ∩ C but not to B ∪ D.

As x belongs to A ∩ C, x ∈ A and x ∈ C.

As x doesn't belong to B ∪ D, x ∉ B and x ∉ D.

With this, we can say that x ∈ A \ B and x ∈ C \ D.

Therefore, x ∈ (A \ B) ∩ (C \ D), absurd!

It's absurd because we were assuming that A \ B and C \ D were disjoint, therefore their intersection must be empty.

The absurd came from assuming that A ∩ C ⊄ B ∪ D.

That proves that A ∩ C ⊆ B ∪ D.

2) Let's assume that A ∩ C ⊆ B ∪ D, we have to prove that A \ B and C \ D are disjoint (i.e.  A \ B ∩ C \ D is empty)

We'll prove it again by reducing to absurd.

Let's suppose that  A \ B ∩ C \ D is not empty. That means there is an element x that belongs to  A \ B ∩ C \ D. Therefore, x ∈ A \ B and x ∈ C \ D.

As x ∈ A \ B, x belongs to A but x doesn't belong to B.  

As x ∈ C \ D, x belongs to C but x doesn't belong to D.

With this, we can say that x ∈ A ∩ C and x ∉ B ∪ D.

So, there is an element that belongs to A ∩ C but not to B∪D, absurd!

It's absurd because we were assuming that A ∩ C ⊆ B ∪ D, therefore every element of A ∩ C must belong to B ∪ D.

The absurd came from assuming that A \ B ∩ C \ D is not empty.

That proves that A \ B ∩ C \ D is empty, i.e. A \ B and C \ D are disjoint.

7 0
3 years ago
Which of the following numbers is 90 divisible by? 2,3,4,5,6,9,10
Mrac [35]

Answer:

2,3,5,6,9,10

Step-by-step explanation:

To do this, we can look at how each value divides into 90. If it produces a whole number, they will be consider to be divisible

90/2=45\\\\90/3=30\\\\90/4=22.5\\\\90/5=18\\\\90/6=15\\\\90/9=10\\\\90/10=9

This means 4 is the only value that is not divisible into 90

8 0
3 years ago
Read 2 more answers
Help I need the answer
timurjin [86]
A. -3+4i Square both numbers, add them, then find the square root. Essentially, use the Pythagorean theorem. -3^2 + 4^2 9 + 16=25 Square root of 25 is 5.
4 0
3 years ago
Use the grouping method to factor this polynomial completely 4x^3+8x^2+3x+6
mart [117]

Answer:

Final answer is (4x^2+3)(x+2).

Step-by-step explanation:

Given expression is 4x^3+8x^2+3x+6.

Now we need to factor that by the method of grouping.

So make two groups having first two terms and then last two term.

Factor each group then factor once more.

=4x^2(x+2)+3(x+2)

=(4x^2+3)(x+2)

It can't be factored anymore so the final answer is (4x^2+3)(x+2).

5 0
3 years ago
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