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Nadusha1986 [10]
3 years ago
6

How would you write x+3y=3 in y=mx+b format

Mathematics
2 answers:
Triss [41]3 years ago
8 0
X+3y=3
First add subtract the x
3y=-x+3
Then divide 3
Y=-1/3x+1
fomenos3 years ago
8 0
Your first step to putting x+3y=3 into slope-intercept form is to move x to the other side using subtraction.
 x+3y= 3
-x____-x
3y=-x+3

And the final step is to divide both sides by 3 so that you can isolate y and achieve slope-intercept form.
3y=-x+3
/3    /3
y=-1/3x+1

So, x+3y=3 in slope-intercept form would be y=-1/3x+1, where the slope (rise/run) is -1/3 and the line intersects the y-axis at point (0,1).
Remember, in y=mx+b, m represents slope and b represents the y-intercept of the equation's line when graphed.
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A fund earns a nominal rate of interest of 6\% compounded every two years. Calculate the amount that must be contributed now to
Nesterboy [21]

Answer:

$712.

Step-by-step explanation:

We have been given that a fund earns a nominal rate of interest of 6% compounded every two years. We are asked to find the amount that must be contributed now to have 1000 at the end of six years.

We will use compound interest formula to solve our given problem.

A=P(1+\frac{r}{n})^{nt}, where,

A = Final amount,

P = Principal amount,

r = Annual interest rate in decimal form,  

n = Number of times interest is compounded per year,

t = Time in years.

6\%=\frac{6}{100}=0.06

Since interest is compounded each two years, so number of compounding per year would be 1/2 or 0.5.

1000=P(1+\frac{0.06}{0.5})^{0.5*6}

1000=P(1+0.12)^{3}

1000=P(1.12)^{3}

1000=P*1.404928

\frac{1000}{1.404928}=\frac{P*1.404928}{1.404928}

P=711.7802478

P\approx 712

Therefore, an amount of $712 must be contributed now to have 1000 at the end of six years.

7 0
3 years ago
The U.S based motorcycle manufacturer says that it expects to build 138,000 motorcycles this year, up from 128,000 last year. Fi
MrMuchimi
138,000/ 128,000 = 7.8125% Just divide new value into old value
8 0
3 years ago
2(3/4)=5<br> 3(4×2)=1<br> 1/4+4/3
Andrej [43]

Answer:

1)

2( \frac{3}{4} )= 5 \\  \frac{3}{2}  = 5 \\ 3 = 5 \times 2 \\ 3 = 10

2)

3( 4 \times 2) = 1 \\ 3(8) = 1 \\ 24 = 1

3)

\frac{1}{4}  +  \frac{4}{3}  \\  \frac{1}{1}  +  \frac{1}{3}  \\ 1 \times 3 + 1 \times 1 \\ 3 + 1 \\ 4

3 0
2 years ago
Could someone help me with this ASAP? thanks !
Maru [420]
<h3>Answer:</h3>

A. 6x^2+-5x+14x+-35

           6x^2+9x-35

B. 5x^4+-3x^3+10x^3+-6x^2

           5x^4+7x^3-6x^2

C. 25x^2+-20x+20x+-16

             25x^2-16

D. x^4+-4x^2+-7x^2+28

           x^4-11x^2+28

====================================

Step-by-step explanation:

A. (3x*2x)+(3x*-5)+(7*2x)+(7*-5)

        Multiply and simplify.

                6x^2+9x-35

B. (x^2*5x^2)+(x^2*-3x)+(2x*5x^2)+(2x*-3x)

         Multiply and simplify.

              5x^4+7x^3-6x^2

C. (5x*5x)+(5x*-4)+(4*5x)+(4*-4)

         Multiply and simplify.

                  25x^2-16

D. (x^2*x^2)+(x^2*-4)+(-7*x^2)+(-7*-4)

         Multiply and simplify.

                x^4-11x^2+28

I hope this helps!

But you should really do this yourself.

3 0
3 years ago
What is the mean of the values in the stem-and-leaf plot?<br><br> Key: 2|5 means 25
zmey [24]
A plot where each data is split into a leaf usaully the last digit.
4 0
3 years ago
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