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2 years ago

Distributive property 11(12+u)

Mathematics

2 answers:

AveGali [126]2 years ago

7 0

$\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}$

Simplify 11(12+u)

$\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}$

$\bigstar$ To simplify this expression, Multiply 11 (the number outside the parentheses) by every term

inside the parentheses, as follows:-

$\text{$(11\times12)+(11\times u)$}$

Simplifying,

$\text{132+11u}$

$\Uparrow\textsf{Our simplified expression (with the help of the distributive property)}$

Please note that we cannot simplify this any further, because $\textbf{132 and 11u are not like terms.}$

<h3>Good luck with your studies.</h3>

#TogetherWeGoFar

$\rule{300}{1}$

abruzzese [7]2 years ago

5 0

Hey there!

11(12 + u)

= 11(12 + 1u)

DISTRIBUTE 11 WITHIN the PARENTHESES

= 11(12) + 11(1u)

= 11(12) + 11(u)

= 132 + 11u

= 11u + 132

Therefore, the answer should be:

11u + 132

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

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$85 jeans, 7% tax what is the total cost please a show work

fgiga [73]

Answer:

See below.

Step-by-step explanation:

Divide to turn the percentage into a decimal.

$\frac{7}{100} =0.07$

Multiply to find the total amount of tax.

$85*0.07=5.95$

Add it to the total.

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3 years ago

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3 years ago

In this problem we consider an equation in differential form Mdx+Ndy=0. (4x+2y)dx+(2x+8y)dy=0 Find My= 2 Nx= 2 If the problem is

zheka24 [161]

Answer:

$f(x,y)=2x^2+4y^2+2xy=C_1\\\\Where\\\\y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )$

Step-by-step explanation:

Let:

$M(x,y)=4x+2y\\\\and\\\\N(x,y)=2x+8y$

This is and exact equation, because:

$\frac{\partial M(x,y)}{\partial y} =2=\frac{\partial N}{\partial x}$

So, define f(x,y) such that:

$\frac{\partial f(x,y)}{\partial x} =M(x,y)\\\\and\\\\\frac{\partial f(x,y)}{\partial y} =N(x,y)$

The solution will be given by:

$f(x,y)=C_1$

Where C1 is an arbitrary constant

Integrate $\frac{\partial f(x,y)}{\partial x}$ with respect to x in order to find f(x,y):

$f(x,y)=\int\ {4x+2y} \, dx =2x^2+2xy+g(y)$

Where g(y) is an arbitrary function of y.

Differentiate f(x,y) with respect to y in order to find g(y):

$\frac{\partial f(x,y)}{\partial y} =2x+\frac{d g(y)}{dy}$

Substitute into $\frac{\partial f(x,y)}{\partial y} =N(x,y)$

$2x+\frac{dg(y)}{dy} =2x+8y\\\\Solve\hspace{3}for\hspace{3}\frac{dg(y)}{dy}\\\\\frac{dg(y)}{dy}=8y$

Integrate $\frac{dg(y)}{dy}$ with respect to y:

$g(y)=\int\ {8y} \, dy =4y^2$

Substitute g(y) into f(x,y):

$f(x,y)=2x^2+4y^2+2xy$

The solution is f(x,y)=C1

$f(x,y)=2x^2+4y^2+2xy=C_1$

Solving y using quadratic formula:

$y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )$

4 0

3 years ago

Part 1: Multiple Choice

Keith_Richards [23]

Option C: (0,125) is the y - intercept.

Explanation:

The given function is $f(x)=x^3-5x^2-25x+125$

We need to determine the y - intercept.

The value of y - intercept:

The y - intercept is the value of y when x = 0

The y - intercept of the function can be determined by substituting x = 0 in the function.

Hence, let us substitute x = 0 in the function $f(x)=x^3-5x^2-25x+125$ , we have,

$f(x)=(0)^3-5(0)^2-25(0)+125$

Simplifying the terms, we get;

$f(x)=0-5(0)-25(0)+125$

$f(x)=0-0-0+125$

$f(x)=125$

Thus, the value of y is 125.

Hence, the y - intercept is 125.

Therefore, the coordinates of the y - intercept are (0,125)

Hence, Option C is the correct answer.

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3 years ago

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denis23 [38]

Answer:

Step-by-step explanation:

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2 years ago