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3 years ago

If a number is subtracted from its square, the result is 132. find the number

Mathematics

2 answers:

beks73 [17]3 years ago

8 0

Answer:

Absor (the guy before me) is in fact 50% correct as the number can only be 12.

Step-by-step explanation:

12^2 equals 144

144-12 equals 132

julsineya [31]3 years ago

5 0

The number is either -11 or 12

Step-by-step explanation:

Let x be the number

Then

According to:

"if a number is subtracted from its square, the result is 132"

$x^2-x = 132\\x^2-x-132 = 0$

Making factors of 132 that add up to -1

$x^2-12x+11x-132 = 0\\x(x-12)+11(x-12) = 0\\(x-12)(x+11) = 0\\x-12 = 0 => x = 12\\x+11 = 0 => x=-11$

Putting x=-11 in

$x^2-x = 132\\(-11)^2-(-11) = 132\\121+11 = 132\\132 = 132$

Putting x = 12

$x^2-x = 132\\(12)^2 - 12 = 132\\144-12 = 132\\132 = 132$

Hence,

The number is either -11 or 12

Keywords: factorization, variables

Learn more about factorization at:

#LearnwithBrainly

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Use synthetic division and remainder theorem p(x) = 3x^3 - 5x^2 - x + 2. p(-1/3)=

Alik [6]

Answer:

5/3

Step-by-step explanation:

-1/3 goes on the outside and since we have our polynomial in standard form with no in between terms missing, 3,-5,-1,2 go inside because they are the coefficients of our polynomial.

-1/3 | 3 -5 -1 2

-------------------------------------

First step bring the 3 down inside. (3+0=3)

-1/3 | 3 -5 -1 2

-------------------------------------

Whatever goes below the bar, must be multiplied by outside number and put directly below next number inside.

-1/3 | 3 -5 -1 2

| -1

-------------------------------------

The numbers lined up vertically are added to get the numbers underneath the bar.

-1/3 | 3 -5 -1 2

| -1

-------------------------------------

3 -6

Again any number below the bar gets multiply to the number outside.

-1/3 | 3 -5 -1 2

| -1 2

-------------------------------------

3 -6

Again the numbers lined up vertically above the bar get added to get the number that goes underneath the bar there.

-1/3 | 3 -5 -1 2

| -1 2

-------------------------------------

3 -6 1

Multiply to outside number 1(-1/3)=-1/3.

This goes under the 2 inside.

-1/3 | 3 -5 -1 2

| -1 2 -1/3

-------------------------------------

3 -6 1

The last number we are fixing to be put is the remainder of (3x^3-5x^2-x+2)/(x+1/3) or you could say it is the value of p(-1/3) since:

P(x)/(x-c)=Q(x)+R/(x-c)

Multiply both sides by (x-c):

P(x)=Q(x)(x-c)+R

If you evaluate P at x=c, we get R:

P(c)=Q(c)(c-c)+R

P(c)=Q(c)*0+R

P(c)=R.

Let's finish:

-1/3 | 3 -5 -1 2

| -1 2 -1/3

-------------------------------------

3 -6 1 5/3

This means p(-1/3)=5/3.

We could have also got this by directly plugging in (-1/3) for x into 3x^3-5x^2-x+2.

7 0

4 years ago

Vhat is the ninth term of the geometric sequence 3,9, 27, ... ?

ExtremeBDS [4]

I think 36 but not sure

3 0

3 years ago

Two perpendicular lines intersect on the -axis. The equation of one line is y- 4x-6=0. Determine the equation of the other line.

Kay [80]

Answer:

y = $-\frac{1}{4}$ x + 6 or y = $-\frac{1}{4}$ x - 0.375

Step-by-step explanation:

For 2 lines to be perpendicular, their slopes must be negative reciprocals. In order to find the perpendicular of y - 4x - 6 = 0:

SLOPE INTERCEPT FORM: y = 4x + 6

SLOPE OF LINE A: m=4

SLOPE OF LINE B (the one you are looking for): m= $-\frac{1}{4}$

Since I don't know if you meant that they intercept on the x or y axis I will do both.

y-axis

y-6= $-\frac{1}{4}$ (x-0)

y = $-\frac{1}{4}$ x+6

x-axis

y-0= $-\frac{1}{4}$ (x-1.5)

y= $-\frac{1}{4}$ x-0.375

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3 years ago

A stereo is marked down $75. If this is a 15% decrease, what was the original price for the stereo?

g100num [7]

The original price was $500
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3 years ago

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