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2 years ago

Subtract

Mathematics

1 answer:

frozen [14]2 years ago

7 0

The subtraction gives -7x^2( x + 1) - 3

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

Algebraic expressions are expressions are expressions that are made up of factors, terms, variables and constants.

They also consist of arithmetic operations.

We have to subtract (6x^3 − x^2 + 8x + 5) from (−x^3 − 9x^2 + 2)

It is written as;

(−x^3 − 9x^2 + 2) - (6x^3 − x^2 + 8x + 5)

−x^3 − 9x^2 + 2 - 6x^3 + x^2 - 8x - 5

collect like terms

-x^3 - 6x^3 - 9x^2 + x^2 + 2 - 5

Add like terms

-7x^3 - 7x^2 - 3

To simply further

-7x^2( x + 1) - 3

Thus, the subtraction gives -7x^2( x + 1) - 3

Learn more about algebraic expressions here:

brainly.com/question/4344214

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Cheryl plans to bake cookies tomorrow and needs to purchase chocolate chips and pecans for no more than $25 total. Chocolate chi

boyakko [2]

The inequality that correctly represents this scenario is given as follows:

$2x + 5y \leq 25$

The graph is given at the end of the question.

<h3>What is a system of inequalities?</h3>

A system of inequalities is when two or more variables are related, and inequalities are built to find the values of each variable.

In this problem, the variables are given as follows:

Variable x: number of chocolate chips purchased.

Variable y: number of pecans sold.

Chocolate chips are $2 per pound and pecans are $5 per pound. She wants to spend at most $25, hence:

$2x + 5y \leq 25$

More can be learned about a system of inequalities at brainly.com/question/3656398

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6 0

2 years ago

Multiply. 12x^4(−5/6 x^3 y^2)

SIZIF [17.4K]

<span><span>the answer is 10<span>x^7</span></span><span>y<span>^2</span></span></span>

6 0

4 years ago

Read 2 more answers

WILL GIVE BRANLIEST! pls help thank u sm!! :-) u are all amazing

Svetradugi [14.3K]

Answer:

Step-by-step explanation:

Given a system of equations graphically, then the solution is at the point of intersection of the 2 equations.

As can be seen from the graph there is only 1 point of intersection, thus only one solution,

7 0

3 years ago

Read 2 more answers

The following linear equation represents the line of best fit for the following scatter plot

Lynna [10]

Answer:

C) About 243 hits

General Formulas and Concepts:

<u>Pre-Algebra </u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Step-by-step explanation:

<u>Step 1: Define </u>

y = home runs

x = hits

[Best Line of Fit] y = 0.15x - 1.5

<em>We can use this to predict the average of the scatter plot. </em>

home runs = y = 35

<u>Step 2: Solve for </u><em><u>x</u></em><u> hits</u>

Substitute [BLF]: 35 = 0.15x - 1.5
Add 1.5 on both sides: 36.5 = 0.15x
Divide 0.15 on both sides: 243.333 = x
Rewrite: x = 243.333

Remember that this is a <em>prediction</em>. According to the best line of fit, we would need approximately ~243 to get 35 home runs.

6 0

3 years ago

In a certain region of space, the potential is given by v=2x−5x2y 3yz2. How much is the magnitude of the electric field at point

Masja [62]

The magnitude of the electric field at the point (-2, 2, 0) is 46.52 V/m

<h3>How to calculate the electric field?</h3>

Since in a certain region of space, the potential is given by v = 2x − 5x²y 3yz²,

The electric field, E = -grad(V) where grad(V) = (dV/dx)i + (dV/dy)j + (dV/dz)k

Since V = 2x − 5x²y + 3yz²

dV/dx = d(2x − 5x²y + 3yz²)/dx

= d2x/dx - d5x²y/dx + d3yz²/dx

= 2 - 10xy + 0

= 2 - 10xy

dV/dy = d(2x − 5x²y + 3yz²)/dy

= d2x/dy - d5x²y/dy + d3yz²/dy

= 0 - 5x² + 3z²

= - 5x² + 3z²

dV/dz = d(2x − 5x²y + 3yz²)/dz

= d2x/dz - d5x²y/dz + d3yz²/dz

= 0 - 0 + 6z

= 6z

<h3>The electric field</h3>

So, E = -grad(V)

= -[(dV/dx)i + (dV/dy)j + (dV/dz)k]

= -[(2 - 10xy)i + (- 5x² + 3z²)j + (6z)k]

So, the electric field at (-2, 2, 0) is

E = -[(2 - 10xy)i + (- 5x² + 3z²)j + (6z)k]

E = -[(2 - 10(-2)(2))i + (- 5(2)² + 3(0)²)j + (6(0))k]

E = -[(2 + 40)i + (- 5(4) + 0)j + (0)k]

E = -[42i + (-20 + 0)j + (0)k]

E = -[42i - 20j + 0k]

E = -42i + 20j - 0k

<h3>The magnitude of the electric field</h3>

So, the magnitude of E at (-2, 2, 0) is

|E| = √[(-42)² + 20² + 0²]

= √[1764 + 400 + 0]

= √2164

= 46.52 V/m

So, the magnitude of the electric field at the point (-2, 2, 0) is 46.52 V/m

Learn more about electric field here:

brainly.com/question/25751825

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3 0

2 years ago