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taurus [48]
2 years ago
5

Really need some help

Mathematics
1 answer:
Viefleur [7K]2 years ago
3 0
The outer exponent is 4 so there will be 5 terms all together. By rules of exponents

C(4,0)(3^4)(2^0)(x^8)(y^0) + C(4,1)(3^3)(2^1)(x^6)(y^3) + C(4,2)(3^2)(2^2)(x^4)(y^6) + C(4,3)(3^1)(2^3)(x^2)(y^9) + C(4,4)(3^0)(2^4)(x^0)(y^12)


The coefficient of the 3rd term: C(4,2)(3^2)(2^2) = 6 x 9 x 4 = 216
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The quotient of 2 and a number x, times 3
alexira [117]

Answer:

3(x + 2)

Step-by-step explanation:

quotient = (x + 2) \times 3 \\  \hspace{42 pt} = 3(x + 2)

7 0
3 years ago
Find the slope of a line that passes through the following points<br> (-1,-5), (3,-3)
svet-max [94.6K]

Answer:

m=\frac{1}{2}

Step-by-step explanation:

defition of  slope(m) of a line:

m=\frac{Y_b-Y_a}{X_b-X_a}

A=(-1,-5)=(Xa,Ya)  then Xa= -1 and Ya= -5

B=(3,-3)=(Xb,Yb) then  Xb=3 and Yb= -3

m=\frac{-3-(-5)}{3-(-1)} \\\\m=\frac{-3+5}{3+1} \\\\m=\frac{2}{4} \\\\m=\frac{1}{2}

8 0
2 years ago
864 multiple by two third ?
harkovskaia [24]
Here we will explain how to calculate two thirds of 864.

Two thirds of 864 is simply two thirds times 864, which can be written as follows:

Two/thirds x 864

Furthermore, you can convert "two" to "2" and "thirds" to "3" and then the equation and answer is:

2/3 x 864 = 576.00

Two thirds written as a fraction is 2/3. You can also write it as a decimal by simply dividing 2 by 3 which is 0.67.<span>If you multiply 0.67 with 864 you will see that you will end up with the same answer as above. </span>

<span>You may also find it useful to know that if you multiply 0.67 with 100 you get 66.67. Which means that our answer of 576.00 is 66.67 percent of 864. </span>
3 0
3 years ago
In how many ways can 7 students be seated at 7 desks?
SCORPION-xisa [38]
If I'm not wrong I believe it would be 343 different ways.
7 0
2 years ago
Read 2 more answers
Using the properties of exponents and logarithms, find the value of x in 19 + 2 ln x = 25.
REY [17]
19+2\ln x=25\ \ \ |-19\\\\2\ln x=6\ \ \ |:2\\\\\ln x=3\iff x=e^3

\text{Used de.finition of the logarithm:}\ \ \ \log_ab=c\iff a^c=b



8 0
3 years ago
Read 2 more answers
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