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2 years ago

Write each equation in standard form using integers

Mathematics

1 answer:

omeli [17]2 years ago

3 0

Standard form is written as ax + by = c

all we do is to subtract 3x from each side of the equation to get our answer

y = 3x + 1
-3x -3x
-3x + y = 1

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Suppose that $9500 is placed in an account that pays 8% interest compounded each year.

Blababa [14]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$9500\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{each year, thus once} \end{array}\dotfill &1\\ t=years\dotfill &1 \end{cases}$

$\bf A=9500\left(1+\frac{0.08}{1}\right)^{1\cdot 1}\implies A=9500(1.08)\implies \boxed{A=10260} \\\\\\ \stackrel{\textit{after 2 years, t = 2}}{A=9500\left(1+\frac{0.08}{1}\right)^{1\cdot 2}}\implies A=9500(1.08)^2\implies \boxed{A=11080.8}$

6 0

3 years ago

X(x+3) + 34 = (x +5)(x+2)

My name is Ann [436]

X(x + 3) + 34 = (x + 5)(x + 2)

First, expand to remove parentheses.
$x^{2} + 3x + 34 = x^{2} + 2x + 5x + 10$
Second, add '2x + 5x' to get '7x'.
$x^{2} + 3x + 34 = x^{2} + 7x + 10$
Third, cancel out ' $x^{2}$ ' on both sides.
$3x + 34 = 7x + 10$
Fourth, subtract '3x' from both sides.
$34 = 7x + 10 - 3x$
Fifth, subtract '7x - 3x' to get '4x'.
$34 = 4x + 10$
Sixth, subtract '10' from both sides.
$34 - 10 = 4x$
Seventh, subtract '34 - 10' to get '24'.
$24 = 4x$
Eighth, divide both sides by '4', leaving the 'x' by itself.
$\frac{24}{4} =x$
Ninth, since '24 ÷ 4 = 6', simplify the fraction to '6'.
$6 = x$
Tenth, switch your sides to get the answer.
$x = 6$

Answer: x = 6

4 0

3 years ago

Slope and y-intercept form from a table

dsp73

Answer:

The y-intercept is 3

Gradient: 4

11-3= 8

2-0= 2

8/2= 4

Hope this helped!

4 0

2 years ago

What is the equation of this line in standard form? −8x+7y=25 −9x+8y=−23 −8x+9y=−23 −8x+9y=23

kvasek [131]

<span>−8x+7y=25 is already in standard form, altho some people would prefer to re-write it as

</span><span>−8x+7y-25 = 0.

You have shared 4 equations here. Next time, please separate them with commas or semi colons, or type just 1 equation per line, for increased clarity. Thanks.</span>

5 0

3 years ago

63 is 63% of what number

san4es73 [151]

63 is only 63% of the number 100.

5 0

3 years ago

Read 2 more answers