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barxatty [35]
3 years ago
13

What is the product?

Mathematics
1 answer:
LenaWriter [7]3 years ago
4 0

Answer:

21x^{7}y^{11}

Step-by-step explanation:

Remove the parentheses and take out the constansts.

(7 x 3) x^{2} x^{5} y^{3} y^{8}

Simplify 7 x 3 to 21.

21x^{2} x^{5} y^{3} y^{8}

Use the product rule: x^{a} x^{b} = x^{a + b}

21x^{2 + 5}y^{3+8}

Simplify 2+5 to 7.

21x^{7}y^{3+8}

Simplfiy 3 + 8 to 11.

21x^{7}y^{11}

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Solve x+2/x-4&lt;0<br><br> A)–4 &lt; x &lt; –2<br> B)–2 &lt; x &lt; 4<br> C)–2 &lt; x &lt; –4
Gelneren [198K]

Domain:\ x\neq-2\\\\\dfrac{x+2}{x-4}

Other method:

\dfrac{x+2}{x-4}

zeros of numerator and denominator are x = -2 and x = 4.

Look at the second picture.

for x < -2 → x + 2 < 0 and x - 4 < 0

therefore \dfrac{x + 2}{x - 4}=\dfrac{(-)}{(-)}>0

for -2 < x < 4 → x + 2 > 0 and x - 4 < 0

therefore \dfrac{x+2}{x-4}=\dfrac{(+)}{(-)} < 0

for x > 4 → x + 2 > 0 and x - 4 > 0

therefore \dfrac{x+2}{x-4}=\dfrac{(+)}{(+)} > 0

<h3>Answer: B) -2 < x < 4</h3>

4 0
3 years ago
If 3y+2 is an odd integer then what is the odd integer that follows it
UNO [17]

Answer:

3y + 4

Step-by-step explanation:

All odd integers are 2 units appart.Take for example the odd integers: 1, 3, 5, 7, 9, they all are 2 units apart from the next odd integer. Therefore, if 3y + 2 is an odd integer, then the next odd integer is 3y + 2 + 2 = 3y + 4. For example, if y = 1 , then the first odd integer is 3(1) + 2 = 5, and the odd integer that follows it is 3(1) + 4 = 7

8 0
3 years ago
Correct answer plz. 15 points. Reported for wrong answer. Thx
34kurt

Third option is the right answer:  

−2x + 4y ≥ 0

7 0
3 years ago
Augusto has a rectangular garden that is 11 feet wide. The length of the diagonal is 1 foot greater than the length of the garde
brilliants [131]
The answer is C
call the length is a => the diagonal is a+1
11^2 + a^2=(a+1)^2
<=> 121 + a^2=a^2 + 2a +1
<=>120=2a
<=> a=60
5 0
3 years ago
Find the exact value of x in the triangle below
Juli2301 [7.4K]

So this is a special triangle. The 30-60-90 triangle rule states that if the short leg is y, then the hypotenuse is 2y and the long leg is y√3.


In this case, the short leg is 5√3 since that times √3 makes 15.


Now with the hypotenuse, just multiply 5√3 with 2, and your answer should be 10√3, or C.

3 0
3 years ago
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