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uysha [10]
3 years ago
9

Please help! 3 Questions please show how you solved the problem

Mathematics
1 answer:
borishaifa [10]3 years ago
8 0

Answer:

1. 3y^2+2y-11

2. 8y^{7}x^{5}z^2

3. x^3-9x^2+14x+24

Step-by-step explanation:

1. We have been given an expression (-y^2-4y-8)-(-4y^2-6y+3) and we are asked to subtract and simplify our given expression.

Using order of operations (PEMDAS), first of all let us remove parenthesis.

-y^2-4y-8+4y^2+6y-3

Now let us group like terms.

(-y^2+4y^2)+(-4y+6y)+(-8-3)

Upon combining like terms our expression simplifies to:

(3y^2)+(2y)+(-11)

3y^2+2y-11

Therefore, our expression simplifies to 3y^2+2y-11.

2. We have been given an expression (2x^2y^3z^2)*(4xy^4x^2) and we are asked to multiply and simplify our given expression.

(2x^2y^3z^2)*(4y^4x*x^2)

(2x^2y^3z^2)*(4y^4x^3)

Using exponent property a^b*a^c=a^{b+c} we will get,

2*4x^{2+3}y^{3+4}z^2

8x^{5}y^{7}z^2

8y^{7}x^{5}z^2

Therefore, our given expression simplifies to 8y^{7}x^{5}z^2.

3. We are asked to multiply and simplify our expression (x-4)(x^2-5x-6).

Using distributive property we will get,

x*x^2-5x*x-6*x-4*x^2-5x*-4-6*-4

x^3-5x^2-6x-4x^2+20x+24

Upon combining like terms we will get,

x^3+(-5x^2-4x^2)+(-6x+20x)+24

x^3+(-9x^2)+(14x)+24

x^3-9x^2+14x+24

Therefore, our given expression simplifies to x^3-9x^2+14x+24.

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Approximate <img src="https://tex.z-dn.net/?f=-8%20%2B%5Csqrt%7B20%7D" id="TexFormula1" title="-8 +\sqrt{20}" alt="-8 +\sqrt{20}
alisha [4.7K]

The value of the radical expression -8 + √20 when expanded and solved is -3.6, based on the given parameters

<h3>What are equivalent expressions?</h3>

Equivalent expressions are different expressions that have equal values when evaluated and compared

<h3>How to approximate the radical expression?</h3>

The expression is given as:

-8 + √20

The above expression is a radical expression

So, we start by doing the following

Express 20 as 5 * 4

-8 + √20 = -8 + √(5 * 4)

Split the radical expression √(5 * 4)

-8 + √20 = -8 + √5 * √4

Evaluate the square root of 4 i.e. √4 = 2

-8 + √20 = -8 + √5 * 2

This gives

-8 + √20 = -8 + 2√5

Evaluate the square root of 5

-8 + √20 = -8 + 2 * 2.2

Evaluate the product of 2 and 2.2

-8 + √20 = -8 + 4.4

Evaluate the difference

-8 + √20 = -3.6

Based on the given parameters, the value of the radical expression -8 + √20 when expanded and solved is -3.6

So, the complete equation is:

-8 + √20 = -3.6

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5 0
1 year ago
A second-order linear differential equation for y(t) is said to be homogeneous if... every term involve either y or its derivati
swat32

Answer: Hello!

A second order differential equation has the next shape:

y''(t) + p(t)y'(t) + q(t)y(t) = g(t)

where p(t), q(t) and g(t) are functions of t, that can be constant numbers for example.

And is called homogeneus when g(t) = 0, so you have:

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Then a second order differential equation is homogeneus ef every term involve either y or the derivatives of y.

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3 years ago
Fiona wants to estimate the product (8.7)(3.0). Which expression shows each factor rounded to the nearest whole number?
borishaifa [10]
(9)(3) would be the expression for the factors rounded to the nearest whole numbers.
I hope I correctly answered your question and that this helps.
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2 years ago
A( 3tx – 2b) = c(dx - 2)​
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Answer:

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Step-by-step explanation:

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