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Elenna [48]
3 years ago
12

PLEASE HELP! DUE TOMORROW 1-8-21 !! Look at these equations. Write each equation in slope-intercept form. Are these equations th

e same or different? Explain. I don’t know how to do the middle equation so please show work for that.

Mathematics
1 answer:
Phoenix [80]3 years ago
7 0

Answer:

y = 2x-4

all the equations are the same as the slope-intercept form is the same for all the equations

Step-by-step explanation:

slope-intercept form:

y = mx + b

2x-3 = y+1

<h3>i) move y to the left-hand side and change its sign</h3>

-y+2x-3 = 1

<h3>ii) move 2x-3 to the right-hand side and change its sign</h3>

-y = 1-2x+3

<h3>iii) add the numbers</h3>

-y = (1+3)-2x

-y = 4-2x

<h3>iv) change the signs on both sides of the equation </h3>

y = -4+2x

<h3>v) use the commutative property to reorder the terms</h3>

( commutative property: the number on which we operate can be moved or swapped from their position without making any difference to the answers )

y = 2x-4

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Sherry bought a sport utility vehicle. She received a discount of 18% off the manufacturer's list price but then had to pay 8% s
Kazeer [188]

Answer:

x = $20,000

the manufacturer's list price is $20,000

Step-by-step explanation:

Let x represent the manufacturer's list price.

And c the amount she finally paid

Given that;

She received a discount of 18% off the manufacturer's list price

= x - 18%x

= x - 0.18x

= 0.82x

then had to pay 8% state sales tax.

C = (0.82x) + 8% of (0.82x)

C = 0.82x + 0.08(0.82x)

C = 0.82x + 0.0656x

C = 0.8856x

Since she paid $17,712

C = $17,712

C = $17,712 = 0.8856x

0.8856x = $17,712

x = $17,712/0.8856

x = $20,000

the manufacturer's list price is $20,000

7 0
3 years ago
I need a solution<br><img src="https://tex.z-dn.net/?f=2log_%7Bx%7D25%20-%203%20log_%7B25%7Dx%20%3D%201" id="TexFormula1" title=
Korvikt [17]
Given
2log_x(25)-3log_{25}(x)=1

first, convert 2log_x(25) to base 25 to match the other term.
2log_x(25)
=2log_{25}(25)/log_{25}(x)
=2*1/log_{25}(x)

Substitute above identity into original equation:
2/log_{25}(x)-3log_{25}(x)=1

Use substiution u=log_{25}(x)
above equation becomes
2/u-3u=1
multiply by u and solve for u:
3u^2+u-2=0
=> u=2/3 or u=-1

case A:. u=2/3 =>
log_{25}(x)=2/3 => 25^{2/3}=x  =>
x=25^{2/3} =8.54987973338348 (approx.)

case B: u=-1 =>
log_25(x)=-1 
which does not give a real solution, so reject.

See graph below for confirmation of solution.

3 0
4 years ago
Juan is working two summer jobs, making $12 per hour babysitting and making $16 per hour lifeguarding. In a given week, he can w
Semenov [28]

\text{Let }b=

Let b=

\,\,\text{the number of hours babysitting}

the number of hours babysitting

\text{Let }l=

Let l=

\,\,\text{the number of hours lifeguarding}

the number of hours lifeguarding

\text{\textquotedblleft at most 17 hours"}\rightarrow \text{17 or fewer hours}

“at most 17 hours"→17 or fewer hours

Use a \le≤ symbol

Therefore the total number of hours worked in both jobs, b+lb+l, must be less than or equal to 17:17:

b+l\le 17

b+l≤17

\text{\textquotedblleft at least \$240"}\rightarrow \text{\$240 or more}

“at least $240"→$240 or more

Use a \ge≥ symbol

Juan makes $12 per hour babysitting, so in bb hours he will make 12b12b dollars. Juan makes $16 per hour lifeguarding, so in ll hours he will make 16l16l dollars. The total amount earned 12b+16l12b+16l must be greater than or equal to \$240:$240:

12b+16l\ge 240

12b+16l≥240

\text{Plug in }\color{green}{3}\text{ for }b\text{ and solve each inequality:}

Plug in 3 for b and solve each inequality:

Juan worked 3 hours babysitting

\begin{aligned}b+l\le 17\hspace{10px}\text{and}\hspace{10px}&12b+16l\ge 240 \\ \color{green}{3}+l\le 17\hspace{10px}\text{and}\hspace{10px}&12\left(\color{green}{3}\right)+16l\ge 240 \\ l\le 14\hspace{10px}\text{and}\hspace{10px}&36+16l\ge 240 \\ \hspace{10px}&16l\ge 204 \\ \hspace{10px}&l\ge 12.75 \\ \end{aligned}

b+l≤17and

3+l≤17and

l≤14and

​  

 

12b+16l≥240

12(3)+16l≥240

36+16l≥240

16l≥204

l≥12.75

​  

 

\text{The values of }l\text{ that make BOTH inequalities true are:}

The values of l that make BOTH inequalities true are:

\{13,\ 14\}

{13, 14}

\text{(the final answer is this entire list)}

(the final answer is this entire list)

6 0
3 years ago
Which of the following statements could be translated to the equation n-5=-2?
stellarik [79]

Answer: The difference between a number and five is negative 2

Step-by-step explanation:

5 0
4 years ago
Which is a solution to the following system of equations?
disa [49]

Answer:

I think number B

Step-by-step explanation:

I plugged it in the calculator. And then they both were zero.

3 0
3 years ago
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