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3 years ago

Identify the zeros for the function and sketch a graph. y=x(x-2)(x+3)

Mathematics

1 answer:

damaskus [11]3 years ago

5 0

The product is equal to zero if one of the factors is equal to zero.

Therefore:

$y=x(x-2)(x+3)\\\\x(x-2)(x+3)=0\iff x=0\ \vee\ x-2=0\ \vee\ x+3=0\\\\\boxed{x=0\ \vee\ x=2\ \vee\ x=-3}$

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Find the angle between each of the following pair of straight line x-2y+3=0 and y=3x

Serga [27]

-59.744
That’s when you solve for x and y in the equation x= 3/4 and y=-9/7
Tan inverse of y/x gives u -59.744

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3 years ago

If f(x) = 2x^3– 5x+ 2, then what is the remainder when f(x) is divided by<br> X – 4?

Mashutka [201]

The remainder is 110 when $f(x) = 2x^3-5x+ 2$ is divided by x-4

Step-by-step explanation:

We need to find the remainder when $f(x) = 2x^3-5x+ 2$ is divided by x-4

Solving:

The solution is attached in the figure below.

The quotient is: $2x^2+8x+27$

The remainder is: 110

Keywords: quotient, division

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3 years ago

How do you model a situation in which a function behaves differently over different parts of its domain?

Eduardwww [97]

The situation in which a function behaves differently over different parts of its domain is modeled by considering it to be a piecewise function.

Such a situation can be explained through an example:

f(x)= { 2x, for x > 0

{ 1, for x = 0

{ -2x, for x < 0

now, when we take x value less than 0, say x= -1

thus, f(x)= f(-1)= -2(-1) = 2 , here we used f(x) given x<0

now, when we take x value more than 0, say x= 2

thus, f(x)= f(1)= 2(1) = 2, here we used f(x) given x>0

now, when we take x = 0,

thus, f(x)= f(0)= 1, here we used f(x) given x=0

this is how we model picewise function, we use f(x) as per the value of x. Following image shows plotted answer for this example.

Since inequalities given are exclusive of 0, we leave the dot at the origin unfilled. Now, for x = 0. Since the value is constant at f(x) =1, we plotted a point at (0,1)

more questions on picewise functions brainly.com/question/12089993

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1 year ago

The stemplot below represents the number of bite-size snacks grabbed by 32 students in an activity for a statistics class. A ste

Karolina [17]

The percentage of this number of snacks grabbed that is greater than 29, as represented by the stem plot is calculated as: A. 16%.

<h3>How to Solve a Stem Plot?</h3>

In a stem plot, each data point is represented as a stem and a leaf, for example, 42 is represented as 4 | 2 on the stem plot.

Given the stem plot for the data of the number of bite-size snacks grabbed by 32 students, the number of snacks grabbed that is greater than 29 are: 32, 32, 34, 38, and 42.

This is 5 out of the total number of the students, which is 32.

Thus, the percentage of this number of snacks grabbed that is greater than 29 would be calculated as:

5/32 × 100 = (5 × 100)/32

= 500/32

= 15.625%

Approximated to the nearest tenth, we would have 16%.

Therefore, the percentage of this number of snacks grabbed that is greater than 29, as represented by the stem plot is: A. 16%.

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