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3 years ago

5 steps of writing the equation of a line

1 answer:

3 0

Step 1: begin by writing the formula for slope intercept form
step2: substitute the given slope for X
step3: use the order pair you given (x,y) and substitute these values for the variables x and y in the equation
step4: solve for y ( y-intercept of the graph)
step5: rewrite the original equation in step 1 substituting the slope for x and the y-intercept for y

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at Phil's work there are 12 part time workers and 18 full time workers what is the ratio of part time workers to total workers

BabaBlast [244]

Answer:

the ratio of part time workers to total workers are 12/30

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3 years ago

This extreme value problem has a solution with both a maximum value and a minimum value. use lagrange multipliers to find the ex

noname [10]

$L(x,y,z,\lambda)=10x+10y+2z+\lambda(5x^2+5y^2+2z^2-42)$

$L_x=10+10\lambda x=0\implies1+\lambda x=0$

$L_y=10+10\lambda y=0\implies1+\lambda y=0$

$L_z=2+4\lambda z=0\implies1+2\lambda z=0$

$L_\lambda=5x^2+5y^2+2z^2-42=0$

$\begin{cases}L_x=0\\L_y=0\\L_z=0\end{cases}\implies1+\lambda x=1+\lambda y=1+2\lambda z=0\implies x=y=2z$

$5x^2+5y^2+2z^2=5(2z)^2+5(2z)^2+2z^2=42z^2=42\implies z^2=1$

$z^2=1\implies z=\pm1\implies x=y=\pm2$

There are two critical points, at which we have

$f\left(2,2,1\right)=42\text{ (a maximum value)}$

$f\left(-2,-2,-1\right)=-42\text{ (a minimum value)}$

3 0

3 years ago

Renata wins a $20 gift card to an online music site. After Renata purchases 16 songs, the gift card has a remaining

amm1812

Answer: $y=20-1.25x$

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope of the line and "b" is the y-intercept.

You need to analize the information given in the exercise.

You know that gift card had a total of $20. Then, since she started to buy the songs with $20, you can identify that:

$b=20$

Since Renata purchased 16 songs and the gift card had a remaining balance of $0 after this, you can find the cost of each song. This is:

$\frac{20}{16}=\$1.25$

Therefore, she spent $1.25 per song. This means that the slope is:

$m=-1.25$

Then, you get that the equation that represents the relationship between "y" (the remaining balance on Renata's gift card) and "x" (the number of songs purchased) is:

$y=20-1.25x$

7 0

3 years ago

Solve by factoring of finding square roots. X^2+2x+1=0

MAVERICK [17]

I hope this helps you

8 0

3 years ago

Karen purchased a prepaid phone card for $30. Long distance calls cost 16 cents a minute using this card. Karen used her card on

Sedbober [7]

30-24.08=5.92, 5.92/.16=37 minutes

3 0

3 years ago