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2 years ago

7 times a number is 8 less than the square of that number. Find the negative solution.

Mathematics

1 answer:

kap26 [50]2 years ago

8 0

Answer:

Step-by-step explanation:

x^2-8x+x-8

x(x-8)+1(x-8)

(x+1)(x-8)

The negative number is x=-1

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3 years ago

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>

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2 years ago

I need help figuring out 121+2=9(-6-7P)+4P

Alex_Xolod [135]

Hi,

Work:

Equation;

$121 + 2 = 9( - 6 - 7p) + 4p$

First add up numbers and distribute 9 over parenthesis.

$123 = - 54 - 63p + 4p$

Second: collect like terms.

$123 = - 54 - 59p$

Move variable 59p to left side and change its sign.

$59p + 123 = - 54$

Then move constant 123 to right side and change its sign.

$59p = - 54 - 123$

Calculate the difference.

$59p = - 177$

Divide both sides of equation by 59.

$p = - 3$

Hope this helps.
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