The function p(x)=x(x-5)(x-2)(x+3) has four zeros. What is the smallest

Answers

Answer 1
Answer:

Answer: The smallest zero is -3.

Step-by-step explanation:

Zeros of a function are the values of input for which the function gives 0 output.

Here, the given function is,

p(x) = x(x-5)(x-2)(x+3)

For finding the zeroes of p(x),

p(x) = 0

⇒ x(x-5)(x-2)(x+3) = 0,

⇒ x = 0 or x - 5 = 0 or x-2=0 or x+3=0

⇒ x = 0 or x = 5 or x = 2 or x = -3

Thus, the zeros of the given function are 0, 5, 2, -3

In which -3 is smallest.

Answer 2
Answer: you can get the zeros by equating each factor by zero
so we have 0 , 5 , 2 , -3
so the smallest one is (-3)

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The sum of the digits of a certain two-digits is 7.Reversing its digits increase the number by9.What is the number

Answers

34. 3 + 4 = 7 43 - 34 = 9

The length of a rectangle is 3n+ 2 and its width is n-1. The perimeter of the rectangle is twice the sum of its length and its width. write an expression that represents the perimeter of the rectangle. Find the perimeter of the rectangle when n= 4 inches

Answers

Length, L = 3n + 2
Width, W  =  n - 1

Perimeter, P = 2*(L + W)

                   = 2*( 3n + 2 + n - 1)

                   = 2*(3n + n + 2 - 1)

                   =  2*(4n + 1)

                   = 2*4n + 2*1

                   = 8n + 2  

Perimeter = (8n + 2)

Perimeter, when n = 4,  8n + 2 = 8*4 + 2 = 32 +2 = 34

Perimeter = 34 inches.

Is 63% a real number?

Answers

No I do not believe it is.

The equation of a circle is (x - 3)2 + (y + 2)2 = 25. The point (8, -2) is on the circle.What is the equation of the line that is tangent to the circle at (8, -2)?

y = 8
x = 8
x = 3
y = 3

Answers

Answer:

2nd Option is correct.

Step-by-step explanation:

Given Equation of Circle,

( x - 3 )² + ( y + 2 )² = 25

Point on circle = ( 8 , -2 )

To find: The equation of the line that is tangent to the circle at given point.

By comparing equation of circle with standard equation of circle,

( x - h )² + ( y - k )² = r²

we get,

Coordinates of center = ( 3 , -2 )

Slope of the radius line from center to point ( 8 , -2 ) =(-2-(-2))/(8-3)=0

Since, y-coordinate of radius line is same.

⇒ This line is parallel to x-axis.

We also knows that Radius and tangent are perpendicular to each other at point of contact.

⇒ Tangent is Parallel to y-axis and passes through ( 8 , -2 )

⇒ Equation of Tangent is x = 8

Therefore, 2nd Option is correct.

Hello,

Answer A

y=8
=======================

When y = x^2, which of the following expressions is
equivalent to –y ?

Answers

-y=-(x^2) because you multiply both sides by -1.

Combinar terminos semejantes :v

4p + 2p

Answers

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{6p}}}}}

Step-by-step explanation:

\bf{4p + 2p}

sólo se pueden sumar o restar los coeficientes de términos similares.

\longrightarrow{ \bf{(4 + 2)p}}

\longrightarrow{ \bf{6p}}

Hope I helped!

Best regards! :D