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2 years ago

What are the zeos of f(x)=(x-1)(x+6)

Mathematics

1 answer:

solong [7]2 years ago

7 0

The zeroes of the given polynomial is 1 and -6.

<h3>What is Polynomials?</h3>

A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

Here, given equation;

f(x) = (x - 1)(x + 6)

for finding the zeros of the equation we need to put.....f(x) = 0

0 = (x - 1)(x + 6)

x - 1 = 0 or x + 6 = 0

x = 1 or x = -6

Thus, The zeroes of the given polynomial is 1 and -6.

Learn more about Polynomials from:

brainly.com/question/17822016

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Consider the differential equation: dy/dx = (y-2)(x^2+1)

Klio2033 [76]

Answer:

Step-by-step explanation:

Given,

$\dfrac{dy}{dx}=(y-2)(x^2+1)$ ...(i)

Differentiating w.r. to x.

$\dfrac{d^2y}{dx^2}= (y-2)(2x)+ (x^2+1)\dfrac{dy}{dx}$

From equation (1)

$\dfrac{d^2y}{dx^2}= (y-2)(2x)+ (x^2+1)^2(y-2)$

Now, at the point (1,3)

$\dfrac{d^2y}{dx^2}= (3-2)(2\times 1)+ (1^2+1)^2(3-2)$

$\dfrac{d^2y}{dx^2}=6$

3 0

3 years ago

Write x2 - 2x + 5 = 0 in vertex form. (Be sure to write your response in the form a(x-h)^2+k=0 with no spaces!)

Drupady [299]

To write the given quadratic equation to its vertex form, we first form a perfect square.

x² - 2x + 5 = 0
Transpose the constant to other side of the equation,
x² - 2x = -5
Complete the square in the left side of the equation,
x² - 2x + (-2/1(2))² = -5 + (-2/1(2))²
Performed the operation,
x² - 2x + 1 = -5 + 1
Factor the left side of the equation,
(x - 1)² = -4

Thus, the vertex form of the equation is,
<em> (x-1)² + 4 = 0</em>

4 0

3 years ago

What is the volume of the right prism 8 mm 18 mm 12 mm

lisabon 2012 [21]

It will be clearly B.38mm3

7 0

3 years ago

Which Postulate/Theorem below would prove that the triangles shown below are congruent?

velikii [3]

Answer:

Correct answer is <em>D. ASA</em>

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Step-by-step explanation:

Let us first define <em>ASA congruence</em> rule:

2 triangles are called congruent according to ASA congruence rule if 2 angles of the triangle and the corresponding side between these two angles are <em>equal </em>to each other.

In the question figure, we can figure out following conclusions from Triangles $\triangle SRT\text{ and }\triangle WXY$ respectively:

$\angle TRS = \angle YXW$
Side RS = Side WX
$\angle TSR = \angle YWX$

As per the definition of option d) ASA congruence, the triangles are congruent.

3 0

3 years ago

Liana can see that the measure of Angle L and Angle M form a straight line. Since Liana knows that a straight line has an angle

cricket20 [7]

Answer:

150 degrees

Step-by-step explanation:

Let's start off by looking at what we are working with in this specific problem:

We can see that we are looking at 2 angles, angle L and angle M, that add up to a total of 180 degrees (aka a straight line)

Now that we know that, we also have to keep is mind that angle L + angle M = 180 degrees.

Now that we've got all of that out of the way, let's set up a simple algebraic equation:

angle L + angle M = 180

We also know that angle L is 30 degrees so let's add it into the equation we have just created:

30 + angle M = 180

We now know that 30 plus angle M (whatever it might be) is equal to 180 so in order to solve this problem we have to do some simple subtraction.

180 - 30 = angle M

Now we are left with:

150 degrees = angle M

4 0

3 years ago