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3 years ago

A rectangular packet of drink has a width that is 2 cm less than its length.

Mathematics

1 answer:

snow_lady [41]3 years ago

6 0

Answer:

$6m^2+8m-16$

Step-by-step explanation:

Given that the length of the packet is $l=m$ cm.

Then the width being 2cm less than the length becomes $w=m-2$ and the height being 4 cm more than its length becomes $h=m+4$

The total surface area of the rectangular packet is given by:

$T.S.A=2(lw+lh+wh)$

$\implies T.S.A=2[m(m-2)+m(m+4)+(m-2)(m+4)]$

We expand to get:

$\implies T.S.A=2(m^2-2m+m^2+4m+m^2+4m-2m-8))$

$\implies T.S.A=2(3m^2+4m-8)=6m^2+8m-16$

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Answer:

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Step-by-step explanation:

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<h2><em>Hope this helps and have a Great day!</em></h2>

8 0

3 years ago

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Which number is the smallest? 5.6123 5.6245 5.6023 5.6985

alexandr402 [8]

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3 years ago

1.) Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth .x squared minus 21 x equals n

Andrew [12]

Part 1
We are given $x^2-21x=-4x$ . This can be rewritten as $x^2-18x=0$ .
Therefore, a=1, b=-18, c=0.
Using the quadratic formula
$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}=\frac{-\left(-18\right)\pm \sqrt{\left(-18\right)^2-4\left(1\right)\left(0\right)}}{2\left(1\right)}$
$x=\frac{18\pm 18}{2}$

The values of x are
$x_1=\frac{18-18}{2}=0$
$x_2=\frac{18+18}{2}=18$

Part 2
Since the values of y change drastically for every equal interval of x, the function cannot be linear. Therefore, the kind of function that best suits the given pairs is a quadratic function.

Part 3.
The first equation is $y=x^2+2$ .
The second equation is $y=3x+20$ .

We have
$x^2+2=3x+20$
$x^2-3x-18=0$
Factoring, we have
$\left(x-6\right)\left(x+3\right)=0$
Equating both factors to zero.
$x_1-6=0\rightarrow x_1=6$
$x_2+3=0\rightarrow x_2=-3$

When the value of x is 6, the value of y is
$y=3\left(6\right)+20=38$

When the value of x is -3, the value of y is
$y=3\left(-3\right)+20=11$

Therefore, the solutions are (6,38) or (-3,11)

7 0

3 years ago

the ordered pairs (0,-1),(1,0),(2,3),(3,8),(4,15) represent a function what is a rule that represents this function? Please help

yarga [219]

Answer:

The function rule is

$f: x\to \: {x}^{2} - 1$