3 years ago

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Mathematics

1 answer:

slamgirl [31]3 years ago

4 0

Answer: x=50

Step-by-step explanation:

(3x+5)+(x-25)=180

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Write an explicit formula for the An, and the n^th term of the sequence 24,-12,6,....

Annette [7]

Answer:

$T_n = -48* (-\frac{1}{2})^{n}$

Step-by-step explanation:

Given

$24, -12, 6,...$

Required

Write a formula

The above sequence shows a geometric sequence because:

$r = \frac{-12}{24} = \frac{6}{-12} = -\frac{1}{2}$ -- common ratio

The equation is determined using:

$T_n = ar^{n-1}$

Where

$a = 24$

Substitute values for a and r

$T_n = 24* (-\frac{1}{2})^{n-1}$

Apply law of indices:

$T_n = 24* (-\frac{1}{2})^{n} * (-\frac{1}{2})^{-1}$

$T_n = 24* (-\frac{1}{2})^{n} * 1/(-\frac{1}{2})$

$T_n = 24* (-\frac{1}{2})^{n} * 1*-2$

$T_n = 1*-2*24* (-\frac{1}{2})^{n}$

$T_n = -48* (-\frac{1}{2})^{n}$

<em>The above represents the explicit formula</em>

7 0

3 years ago

Point G ( -7,4 ) is translated using the rule (x + 10, y -6) <br> What is the x-coordinate of G

statuscvo [17]

Answer:

Step-by-step explanation:

$G(-7,\ 4)\to x=-7,\ y=4\\\\\text{the rule}\ (x+10,\ y-6)\\\\\text{substitute}\\\\x+10=-7+10=3\\y-6=4-6=-2$

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Please help. Thank you....

nadya68 [22]

The answer is B

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jeyben [28]

Answer:

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Let x= -1, y= -2 and z = 3 evaluate the following expression x/5y - 2z

RideAnS [48]

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2 years ago

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