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3 years ago

PLEASE HELP ILL GIVE BRAINLIEST

Mathematics

2 answers:

Tpy6a [65]3 years ago

7 0

The answer is 9 if you do 6 divided by 2/3 you get your answer

bezimeni [28]3 years ago

6 0

Answer:

Step-by-step explanation:

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In 1990 the average family income was about $ 39 , 000 , and in 2010 it was about $ 70 , 768 . Let x = 0 represent 1990, x = 1 r

iren2701 [21]

Answer:

 $f(x) = 1588.4x + 39000$ 

$f(15) = 62826$

Step-by-step explanation:

Given

In 1990; Income= $39000

In 2010; Income= $70768

Solving (a): An equation in form of f(x) = ax + b

First, we need to determine the slope, a

$a = \frac{y_2 - y_1}{x_2 - x_1}$

Taking y as income and x as year index.

When x = 0; y = 39000

When x = 20; y = 70768

Substitute these values in the above formula

$a = \frac{70768 - 39000}{20 - 0}$

$a = \frac{31768}{20}$

$a = 1588.4$

Next, is to determine the formula using:

$y - y_1 = a(x - x_1)$

Considering :When x = 0; y = 39000, we have

 $y - 39000 = 1588.4(x - 0)$ 

 $y - 39000 = 1588.4x$ 

Make y the subject of formula

 $y = 1588.4x + 39000$ 

Express y as a function of x

 $f(x) = 1588.4x + 39000$ 

Solving (b): Income in 2005

In 2005, x = 15

So:

$f(x) = 1588.4x + 39000$ becomes

$f(15) = 1588.4 * 15 + 39000$

$f(15) = 62826$

3 0

3 years ago

Find the general solution of x'1 = 3x1 - x2 + et, x'2 = x1.

Ann [662]

Note that if ${x_2}'=x_1$ , then ${x_2}''={x_1}'$ , and so we can collapse the system of ODEs into a linear ODE:

${x_2}''=3{x_2}'-x_2+e^t$
${x_2}''-3{x_2}'+x_2=e^t$

which is a pretty standard linear ODE with constant coefficients. We have characteristic equation

$r^2-3r+1=\left(r-\dfrac{3+\sqrt5}2\right)\left(r+\dfrac{3+\sqrt5}2\right)=0$

so that the characteristic solution is

${x_2}_C=C_1e^{(3+\sqrt5)/2\,t}+C_2e^{-(3+\sqrt5)/2\,t}$

Now let's suppose the particular solution is ${x_2}_p=ae^t$ . Then

${x_2}_p={{x_2}_p}'={{x_2}_p}''=ae^t$

and so

$ae^t-3ae^t+ae^t=-ae^t=e^t\implies a=-1$

Thus the general solution for $x_2$ is

$x_2=C_1e^{(3+\sqrt5)/2\,t}+C_2e^{-(3+\sqrt5)/2\,t}-e^t$

and you can find the solution $x_1$ by simply differentiating $x_2$ .

7 0

3 years ago

(-36)^1/2= a.) 1/6 b.) -6 c.) no real number

hjlf

It's suppose to be -18 so I guess no real number....

4 0

3 years ago

Please help with number 4,5,6,7,8 it will mean a lot

Xelga [282]

5) The slope is: 6

6) Answer: y=-1/2x+3

7) Answer: The slope is: -8, the y intercept is: 6

8) Answer: y=8x+30

Have a good day and a hug :D づ◡﹏◡)づ

6 0

3 years ago

Frank has devised a formula for his catering business that calculates the number of meatballs he needs to prepare. The formula i

Aleonysh [2.5K]

m = 4a + 2c

a = 25; c = 5

Replace a with 25. Replace c with 5.
Then evaluate the expression.

m = 4 * 25 + 2 * 5

m = 100 + 10

m = 110

Answer: 110 meatballs are needed.

4 0

3 years ago