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3 years ago

What are the solutions of the equation 2x2−x=32x2-x=3?

Mathematics

1 answer:

klio [65]3 years ago

8 0

I think it'd be x=4 but I'm not 100% sure

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An epidemic has hit Minecole City. Its population is declining 34% every hour. In just 3 hours, there are only 25,143 people lef

Vinvika [58]

The answer is 87,455

P(x) = P(0) * nˣ
P(x) - the final population after period x
P(0) - the initial population
n - the growth factor in decimal
x - period of time

x = 3 hours
P(3) = 25,143
P(0) = ?
n = 100- 34% = 66% = 0.66

P(x) = P(0) * nˣ
25,143 = P(0) * 0.66³
25,143 = P(0) * 0.287496
P(0) = 25,143 / 0.287496
P(0) ≈ 87,455

7 0

3 years ago

"Find an equation for the family of linear functions with slope 4. (Use the standard coordinate variables x and y. You may use m

Mazyrski [523]

Answer:

Y= 4x +y1-4x1

4 represent the slope m

+Y1 - 4x1 represent the intercept b

Step-by-step explanation:

Formula for the equation of the linear function

(Y-y1)/(x-x1) = m

We will transform it into the equation form

Y= mx + b

Where m = slope=4

b = intercept

(Y-y1)/(x-x1) = m

(Y-y1)/(x-x1) = 4

(Y-y1)= 4(x-x1)

Y-y1= 4x -4x1

Y= 4x +y1-4x1

4 represent the slope m

+Y1 - 4x1 represent the intercept b

8 0

3 years ago

The three lines 8x+3y=12, 6y-7x=24, x+9y+33=0 intersect to form a triangle. Find the coordinates of its centroid

kicyunya [14]

Answer:

coordinates of its centroid=(-1,-1)

Step-by-step explanation:

The given three lines are:

8x+3y=12, (1)

6y-7x=24 (2)

and x+9y+33. (3)

Multiplying equation (1) by 2 and subtract the equation (2), we get

23x=0⇒x=0,

Putting the value of x=0 in equation (2), we get

6y=24

y=4

Now, multiply the first equation by 3 and subtract the equation (3), we get

23x=69⇒x=3

Putting the value of x=3 in equation (1), we get

24+3y=12

3y=-12

y=-4

Also, multiplying the equation (3) by 7 and add the equation (2), we get

69y=-207

y=-3

Putting the value of y=-3 in equation (2), we get

6(-3)-7x=24

-18-24=7x

x=-6

So the centroid is located at (the average of the three vertices):

$x=\frac{0+3-6}{3}=\frac{-3}{3}=-1$ and $y=\frac{4-4-3}{3}=\frac{-3}{3}=-1$ .

Thus, the coordinates of its centroid=(-1,-1)

3 0

3 years ago

Write an equation of the line that is perpendicular to y=-3x+1 and passes through point (5,3).

Snezhnost [94]

Answer: There are two formulas that we will use the first one is the y=m x+b and the second one is finding the perpendicular line.

Step-by-step explanation:

the first one is

y=m x+b

y= 3 x -12

the second one is

first find the negative reciprocal of the slope of the original line and use the point slope formula y- y,= m(x - x1) to find the line perpendicular to

Y= 3 x 1

X= 5

8 0

2 years ago

The double number line shows the amount of time a hen needs to lay 1 egg.

DaniilM [7]

Answer:

Step-by-step explanation:

2+1=3

3 0

3 years ago