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3 years ago

Write a simplified polynomial expression in standard form to represent the area of the rectangle below.

Mathematics

1 answer:

Juli2301 [7.4K]3 years ago

6 0

I have done it in one way, but someone please tell me is I am wrong.
2x-4=x+5
=2x-x=4+5
x=9

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A cuboid with a volume of 924cm^3 has dimensions 4cm, (x+1)cm and (x+11). Show clearly that x^2+12x-220=0 solve the equation by

garik1379 [7]

Answer:

$x^2+12x-220=0$ -- Proved

$x = 10\ \ \ x = -22$

Step-by-step explanation:

Given

$Volume = 924cm^3$

$Dimension: 4cm; (x+1)cm; (x+11)cm$

Required

Show that $x^2+12x-220=0$

The volume is calculated as:

$4 * (x + 1) * (x + 11) = 924$

Open the brackets

$(4x + 4) * (x + 11) = 924$

$4x^2 + 44x + 4x + 44 = 924$

$4x^2 + 48x+ 44 = 924$

Collect Like Terms

$4x^2 + 48x+ 44 - 924=0$

$4x^2 + 48x -880=0$

Divide through by 4

$\frac{4x^2}{4} + \frac{48x}{4} -\frac{880}{4}=0$

$x^2+12x-220=0$

Solving further:

Expand the expression

$x^2 + 22x - 10x - 220 = 0$

Factorize:

$x(x + 22) - 10(x + 22) = 0$

$(x - 10)(x + 22) = 0$

Split:

$x - 10 = 0;\ \ \ x + 22 = 0$

$x = 10\ \ \ x = -22$

5 0

3 years ago

Name a decimal between 0.4 and 0.5

Aliun [14]

To find a number between both decimals, what you can do is take the average of both numbers.

We have then:

$average = \frac{0.4+0.5}{2}$

Rewriting we have:

$average = \frac{0.9}{2} \\average = 0.45$

Therefore, the decimal obtained is a number between 0.4 and 0.5

Answer:

a decimal between 0.4 and 0.5 is:

$average = 0.45$

6 0

3 years ago

Read 2 more answers

What is the correct answer NEED IT ASAP PLEASE

tia_tia [17]

It is the last choice

Amount she makes at McDonald's: 9x

Amount she makes at babysitting: 12x

Wants to save at least $1000

$9x+12y\geq 1000$

Hope that helps!

3 0

3 years ago

Read 2 more answers

Shayla has 6 1/2 pounds of potato salad into containers each of which holds 1 5/8 pounds. How many containers does she need?

Oksi-84 [34.3K]

let's firstly convert the mixed fractions to improper fractions and then divide.

$\bf \stackrel{mixed}{6\frac{1}{2}}\implies \cfrac{6\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{13}{2}}~\hfill \stackrel{mixed}{1\frac{5}{8}\implies \cfrac{1\cdot 8+5}{8}}\implies \stackrel{improper}{\cfrac{13}{8}} \\\\[-0.35em] ~\dotfill$

$\bf \stackrel{\textit{total salad}}{\cfrac{13}{2}}\div \stackrel{\stackrel{\textit{conainer's}}{\textit{capacity}}}{\cfrac{13}{8}}\implies \cfrac{\begin{matrix} 13 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}{\underset{1}{\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}}\cdot \cfrac{\stackrel{4}{\begin{matrix} 8 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}}{\begin{matrix} 13 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}\implies 4$

6 0

4 years ago

Translate: "The product of 8 and a number, b, is taken away from 24"

goblinko [34]

24-8b
24-(8*b)
i don’t know the exact way it is written on your test but it is something along those lines

7 0

3 years ago