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AnnyKZ [126]
3 years ago
7

What is the first step in the indirect proof?

Mathematics
1 answer:
FromTheMoon [43]3 years ago
4 0
A) If you have 12 dogs and cats (I assume 12 in total) and divide those by two, you get six dogs and six cats. It has to be more dogs than cats, and the sum of those two has to be twelve. So to reach the sum 12, while one number is bigger that the other, the number has to be 7 or more. 
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F(x)=2x^2+4x-16<br> g(x)=4x^2-16<br> Find (f/g)(x).
Nastasia [14]

Answer:

Step-by-step explanation:

(\frac{f}{g} )(x) = \frac{2x^{2} +4x-16}{4x^{2} -16}

2x²+4x -16 =  2(x²+2x-8); factor 2

                  = 2(x+4)(x-2) ;factor the quadratic equation

4x²-16  = 4(x²-4) ; factor 4

            =4(x²- 2²) ; rewrite 4 as 2²

           = 4(x-2)(x+2); now use the difference of two squares a²-b²=(a-b)(a+b)

so now we have:

(\frac{f}{g}) (x) = \frac{2(x+4)(x-2)}{4(x-2)(x+2)} ; simplify (x-2) from numerator and denominator

                                  and 2/4 as 1/2

(\frac{f}{g}) (x) = \frac{(x+4)}{2(x+2)}

8 0
3 years ago
A ∠A and ∠ B ∠B are complementary angles. If m ∠ A = ( 2 x − 23 ) ∘ ∠A=(2x−23) ∘ and m ∠ B = ( x + 20 ) ∘ ∠B=(x+20) ∘ , then fin
son4ous [18]

Answer:

∠A = 99°

Step-by-step explanation:

Complementary angles sum to 180°, thus

∠A + ∠B = 180 ← substitute values

2x - 23 + x + 20 = 180

3x - 3 = 180 ( add 3 to both sides )

3x = 183 ( divide both sides by 3 )

x = 61

Hence

∠A = 2x - 23 = (2 × 61) - 23 = 122 - 23 = 99°

7 0
3 years ago
I need help with this one!!
aleksley [76]
$45 x .15 = 6.75

This is the amount that she saved

$45 - 6.75 = 

The amount that she still needs to save.
3 0
3 years ago
Read 2 more answers
Find the volume of a pyramid with a square base, where the side length of the base is 10.6\text{ in}10.6 in and the height of th
Setler [38]

Answer:

460.7

Step-by-step explanation:

4 0
3 years ago
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Pam bought 50 kg of sugar. She used 10 kg of sugar. What percentage of sugar was left? (step by step answer would be appreciated
galben [10]

Answer:

80%

Step-by-step explanation:

50 x 50 would be 100 and 50kg=100% and 10 x 2 = 20 so you used 20% therefore you have 80% left.

8 0
3 years ago
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