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DedPeter [7]
3 years ago
7

What is the equation of the line that passes through the point (3, 4) and has a slope of - 2/3?

Mathematics
1 answer:
fgiga [73]3 years ago
8 0

Answer: y= - 2/3x+6

Step-by-step explanation:

Just plug in values into this equation (slope intercept form)

y=mx+b

3 is x value

4 is y value

m is the slope which is - 2/3

So after you plug in the values, solve for b ("b" is the y intercept):

4=-2/3(3)+b

4=-2+b

b=6

Then add in the b value into your equation and you will get y= - 2/3x+6

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A town has a population of 12000 and grows at 3.5% every year. What will be the population after 7 years, to the nearest whole n
Setler79 [48]

Answer:

15,267

Step-by-step explanation:

To solve this problem, lets use the exponential growth formula which is:A = P(1+r)^t

A = total amount

P = original amount

r = growth rate (decimal)

t = years

<u>Before we plug in the values, don't forget to change 3.5% to its decimal form.</u>

3.5% -> \frac{3.5}{100} -> 0.035

Lets plug in the values:

A=12,000(1+0.035)^7

A=15,267

The population after 7 years will be 15,267.

8 0
4 years ago
The first three steps of completing the square to solve the quadratic equation x² + 4x - 6 = 0, are
slavikrds [6]

Answer:

The next 3 steps are

Step 4: (x+2)=\pm \sqrt{10}

Step 5: x=-2\pm \sqrt{10}

Step 6: x=-2+\sqrt{10}\ or\x=-2-\sqrt{10}

Step-by-step explanation:

Given:

Quadratic Equation is

x² + 4x - 6 = 0

To Find:

x = ?

Solution:

Step 1: x2 + 4x = 6

Step 2: x2 + 4x + 4 = 6 + 4

Step 3: (x + 2)2 = 10

Step 4: (x+2)=\pm \sqrt{10}

Step 5: x=-2\pm \sqrt{10}

Step 6: x=-2+\sqrt{10}\ or\x=-2-\sqrt{10}

8 0
3 years ago
Which expression calculates the speed in meters per second of an object that travels a distance of 40 m every 10 s?
kipiarov [429]
40x10 is the correct one
5 0
3 years ago
Read 2 more answers
What is the distance between 15 miles east and 12 miles west?
inysia [295]

Answer:

27 miles.

Step-by-step explanation:

if you count from the 15 miles from the east to the 12 miles in the west, it would add up to 27. hope this helped

7 0
3 years ago
Which expression represents the follow-
Varvara68 [4.7K]

Answer:

the sum of x and 5.

x + 5

the sum of is adding

4 0
3 years ago
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