Write an exponential growth function. Explain why your function represents exponential growth.

1 answer:

8 0

Compare that with what we would have with a linear increase (2%): ... Now we shall examine the differences displayed with the functions in our example ... An exponential function with a > 0 and b > 1, like the one above, represents an .... Overview · Writing linear equations using the slope-intercept form · Writing linear.

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Y=2X-1 5x-4y=1 is (1,1) a solution of the system

Natasha2012 [34]

You are given the system of equations

$\left\{\begin{array}{l}y=2x-1\\5x-4y=1.\end{array}\right.$

If you want simply to know whether (1,1) is a solution of this system, then substitute x=1 and y=1 into both equations:

$\left\{\begin{array}{l}1=2\cdot 1-1\\5\cdot 1-4\cdot 1=1\end{array}\Rightarrow \begin{array}{l}1=1\\1=1\end{array}\right.$

This means that (1,1) is a solution, because both iqualities hold.

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3 years ago

What are the roots of -12x2 + 11x − 3 = 0?

Nataly_w [17]

-12x² + 11x - 3 = 0
x = -(11) +/- √((11)² - 4(-12)(-3))
 2(-12)
x = -11 +/- √(121 - 144)
 -24
x = -11 +/- √(-23)
 -24
x = -11 +/- i√(23)
 -24
x = -11 + i√(23) x = -11 - i√(23)
 -24 -24
x = ¹¹/₂₄ - 0.0416√(23) x = ¹¹/₂₄ + 0.0416√(23)

5 0

3 years ago

Find the area of the figure

Evgesh-ka [11]

These are the steps:
1. Find area of the two triangles.
2. Find area of the rectangle.
3. Add them up.

Step 1: Find area of the two triangles:

Formula : Area of triangle = 1/2 x base x height

Both triangles are identical.
Height = 5m
Base = 6 + 6 + 12 = 24

Area = 1/2 x 24 x 5 = 60 m²

Step 2: Find the area of the rectangle:

Formula : Area = Length x Width

Area = 12 x 7 = 84 m²

Step 3: Find the total area:

60 + 84 = 144 m²

Answer: 144 m²

5 0

3 years ago

an algebra teacher drove by a farmyard full of chickens and pigs.the teacher happened to notice that there were a totals of 100

LiRa [457]

I'll be honest, this is a pretty interesting question. I've never seen anything like it before!

We can start off by making equations with the given. If there are 100 heads, that means that the total number of chickens and pigs combined is 100. Thus, we can form our first equation:

p + c = 100
('p' represents number of pigs, and 'c' represents number of chickens)

We also know that there are 270 legs total. Since chickens have 2 and pigs have 4, we can make the following equation:
2c + 4p = 270

I suppose the quickest way to solve for this equation is to use the subtraction method. Put the equations on top of each other:

2c + 4p = 270
c + p = 100
___________
Multiply the bottom equation by -2;

2c + 4p = 270
-2c -2p = 100
____________
"Add" these two equations together:

2c + 4p = 270
-2c -2p = -200
___________
2p = 70

Divide both sides by 2:
p = 35

Ah, finally. Now that we know that there are 35 pigs, input this variable into the first equation to find the number of chickens:

c + 35 = 100
Subtract:
c = 65

There are 35 pigs and 65 chickens
-T.B.

3 0

4 years ago

What is the value of the expression? 6 • 2³ -(4² + 7)

atroni [7]

Answer:

Step-by-step explanation:

pemdas

parentheses- 4 to the 2nd power is 16, 16 + 7 is 23.

exponents- 2 to the 3rd power is 8.

multiplication- 6 x 8 is 48

so then its easy from there. its 48 minus 23, which equals 25

3 0

3 years ago