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3 years ago

What is an example of Rational numbers being used in everyday life?

Mathematics

1 answer:

Sladkaya [172]3 years ago

5 0

Answer:

In example when talking about some supply, half of it was sold or three fifths of what was there is gone. Fractions are a natural way of talking about sub unit quantities or just rationing supplies.

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The area of a rectangle is 72 cm square. The length of the rectangle is 6 cm longer than the width. What is the width of the rec

miskamm [114]

The correct option will be : B) 6 cm.

Explanation

Suppose, the width of the rectangle is $x$ cm.

As, the length is 6 cm longer than the width, so the length will be: $(x+6) cm.$

Formula for the Area of rectangle is: $(Length)*(Width)$

Given that, the area of a rectangle is 72 cm²

So....

$x(x+6)=72\\ \\ x^2+6x-72=0\\ \\ (x+12)(x-6)=0$

Using zero-product property, we will get...

$x+12=0\\ x= -12$ (Negative value is ignored as width can't be negative)

and

$x-6=0\\ x=6$

So, the width of the rectangle is 6 cm.

6 0

3 years ago

Write an equation that has a graph with the shape of y = x^2, but shifted left 3 units.

svetoff [14.1K]

$\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\\\
% left side templates
\begin{array}{llll}
f(x)=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
y=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
f(x)=&{{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}}
\end{array}\\\\
--------------------\\\\$

$\bf % template detailing
\bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\
\bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}
\\\\
\bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\$

$\bf \bullet \textit{ vertical shift by }{{ D}}\\
\left. \qquad \right. if\ {{ D}}\textit{ is negative, downwards}\\\\
\left. \qquad \right. if\ {{ D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{ B}}}$

now, with that template in mind, let's see

$\bf y=x^2\implies 
\begin{array}{llll}
y=(&1x&-0)^2\\
&B&C
\end{array}$

so, just change C to +3, thus C/B is 3/1

6 0

3 years ago

Mark takes a bank loan of $3,600 to start up a business at an annual interest rate of 8%. How much will he have to repay in 16 m

Dimas [21]

Answer:

A. $3,984

Step-by-step explanation:

The amount of interest is computed from ...

I = Prt

For the given values, the interest is ...

I = $3600×0.08×(16/12) = $384

Then the total amount that needs to be repaid is ...

Principal + Interest = $3600 +384 = $3,984

_____

The time period is 16 months, so is 16/12 years.

The time periods of the interest rate and "t" in the formula must match. If the interest rate is an annual rate, then "t" is in years. If the interest rate is a monthly rate, then "t" is the number of months.

8 0

3 years ago

What is the slope of the line y=2x+5?

sweet [91]

Answer:

The slope is 2

Explanation:

The equation is written in y=mx+b
M would always be the slope and b the y intercept

Hope this helps!!

4 0

3 years ago

Read 2 more answers

CAN SOMEONE HELP ME PLEASE

AleksAgata [21]

It’s 0.39 Hope this helps!

8 0