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2 years ago

7. The Quotient

Mathematics

1 answer:

nasty-shy [4]2 years ago

3 0

Answer:

<h3>The number is 500</h3>

Step-by-step explanation:

Let the number be x

The quotient of a number divided by five is written as

$\frac{x}{5}$

the number decreased by 400 is written as

x - 400

Equate the two expressions

We have

$\frac{x}{5} = x - 400$

Multiply through by 5

That's

x = 5x - 2000

x - 5x = - 2000

- 4x = - 2000

Divide both sides by - 4

x = 500

Hope this helps you

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Which inequality matches the given situation if w represents weight in pounds:Baby tigers can be no larger than 4 pounds.

ozzi

Given:

w be the weight in pounds of a baby tigers.

To find:

The inequality if baby tigers can be no larger than 4 pounds.

Solution:

Baby tigers can be no larger than 4 pounds. It mean weight of baby tigers cannot be greater than 4. In other words, the weight of the baby tigers must be less than or equal to 4.

Let w represents weight in pounds and the weight of the baby tigers must be less than or equal to 4. So,

$w\leq 4$

Therefore, the required inequality is $w\leq 4$ .

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2 years ago

Given the following information, determine which lines are parallel and what justifies them being parallel.

weeeeeb [17]

Answers:

Blank 1 = p and r

Blank 2 = corresponding angles converse

==========================================================

Explanation:

Refer to the diagram below. I've marked lines p and r in red, and the angles 3 and 22 in blue. They are corresponding angles because they are both in the same southeast corner of their four-corner configuration.

If the corresponding angles are congruent, then the lines p and r are parallel by the aptly named corresponding angles converse

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2 years ago

BRAINLY!! PLEASE HELP ME!! IF YOUR GOOD AT MATH!!

riadik2000 [5.3K]

A. Here's a fifth degree polynomial,

f(x) = x⁵ + 4x⁴ - 14x² + 9

It's in standard form, each term a constant coefficient times a whole number power of x (including the constant, which we can think of as the coefficient on x⁰=1), with the terms sorted from highest degree (highest power on x) to lowest.

B. The closure of addition wrt polynomials just means when we add two polynomials we get another polynomial.

f(x) = x⁵ + 4x⁴ - 14x² + 9

g(x) = -2x⁴ + x

f(x)+g(x) = x⁵ + 2x⁴ - 14x² + x + 9

We added two polynomials, we got another one, that's all closure is.

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2 years ago

Read 2 more answers

Which function has a phase shift of pi/2 to the right?

Bess [88]

If it helps you any

$\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\
% function transformations for trigonometric functions
\begin{array}{rllll}
% left side templates
f(x)=&{{ A}}sin({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\

\end{array}$

$\bf \begin{array}{llll}
% right side info
\bullet \textit{ stretches or shrinks}\\
\quad \textit{horizontally by amplitude } |{{ A}}|\\
\bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\
\end{array}$

$\bf \begin{array}{llll}

\bullet \textit{vertical shift by }{{ D}}\\
\qquad if\ {{ D}}\textit{ is negative, downwards}\\
\qquad if\ {{ D}}\textit{ is positive, upwards}\\
\bullet \textit{function period}\\
\qquad \frac{2\pi }{{{ B}}}\ for\ cos(\theta),\ sin(\theta),\ sec(\theta),\ csc(\theta)\\
\qquad \frac{\pi }{{{ B}}}\ for\ tan(\theta),\ cot(\theta)
\end{array}$

so.. check coefficients C and B for the horizontal shift

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3 years ago

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The perimeter of a church window is 80 inches. If the window is in the shape of a square, what is the length of each side of the

PolarNik [594]

By definition, perimeter refers to the total length of the side of a polygon. A square has 4 equal sides.

Perimeter = 4 x S
80 = 4 x S
S = 80 / 4
S = 20 inches.

The correct answer is letter B. 20 inches

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2 years ago