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2 years ago

Say the slope value of the next line -5x + 3y=30

Mathematics

1 answer:

OLEGan [10]2 years ago

3 0

<h3>Answer:</h3>

$\large\boxed{C).\,m= 5/3}$

<h3>Step-by-step explanation:</h3>

In this question, we're finding the slope of the line.

What this means is that we have to make the equation into slope intercept form.

Slope intercept form is: y = mx + b

In order to get the equation to slope intercept form, we have to get y by itself and solve from there.

Solve:

$-5x + 3y=30\\\\\text{Add 5x to both sides to get 3y by itself}\\\\3y=5x+30\\\\\text{Divide both sides by 3}\\\\y = 5/3x+30\\\\\text{The slope of the equation would be 5/3}$

When you're done solving, you would see that answer choice C). m = 5/3 would be the correct answer.

<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3><h3 />

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Jane draws a line in the coordinate plane that passes through the points (2,3) and (6,9)

timofeeve [1]

Answer:

y=x+1

Step-by-step explanation:

To find the line of the equation, use the slope formula to find the slope.

Slope formula is: y2-y1/x2-x1

9-3/6-2= 3/4

Once you have the slope, use that and one of the coordinates to put the equation in point-slope form.

Point-slope form is: y-y1=m(x-x1), with m representing slope and y1 and x1 representing the x and y coordinates.

y-3=1(x-2)

With the equation in point-slope form, you can now distribute 1 to x-2 and simplify to put it in slope-intercept form.

y-3=1x-2

y=x+1

3 0

2 years ago

Read 2 more answers

Can someone help me <br> What one

Sav [38]

Answer:

try the second one sorry if its wrong report me if it is

Step-by-step explanation:

hope this help

5 0

2 years ago

Find the product. 1.5m6(-2m2)4

Pani-rosa [81]

Step 1 :

Equation at the end of step 1 :

((——•(m6))•(0-2m2))•4

Step 2 :

Simplify —

Equation at the end of step 2 :

((— • m6) • -2m2) • 4

Step 3 :

Equation at the end of step 3 :

3m6

(——— • -2m2) • 4

Step 4 :

Multiplying exponential expressions :

4.1 m6 multiplied by m2 = m(6 + 2) = m8

Canceling Out :

4.2 Canceling out 2 as it appears on both sides of the fraction line

Equation at the end of step 4 :

-3m8 • 4

Step 5 :

Final result :

-12m8

6 0

2 years ago

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Solve the equation showing all work.<br><br> 3x²+5=152

Elodia [21]

Answer:

x = 7

Step-by-step explanation:

3x²+5=152

3x²=147

x²=147/3

x² = 49

x = 7

3 0

1 year ago

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The rate of change (dP/dt), of the number of people on an ocean beach is modeled by a logistic differential equation. The maximu

Kazeer [188]

Answer:

$\frac{dP}{dt} = 2.4P(1 - \frac{P}{1200})$

Step-by-step explanation:

The logistic differential equation is as follows:

$\frac{dP}{dt} = rP(1 - \frac{P}{K})$

In this problem, we have that:

$K = 1200$ , which is the carring capacity of the population, that is, the maximum number of people allowed on the beach.

At 10 A.M., the number of people on the beach is 200 and is increasing at the rate of 400 per hour.

This means that $\frac{dP}{dt} = 400$ when $P = 200$ . With this, we can find r, that is, the growth rate,

$\frac{dP}{dt} = rP(1 - \frac{P}{K})$

$400 = 200r(1 - \frac{200}{1200})$

$166.67r = 400$

$r = 2.4$

So the differential equation is:

$\frac{dP}{dt} = rP(1 - \frac{P}{K})$

$\frac{dP}{dt} = 2.4P(1 - \frac{P}{1200})$

3 0

2 years ago