The row-echelon form of the augmented matrix of a system of equations is given. Find the solution of the system.
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Answer:

10 years

Step-by-step explanation:

Given :

Population of Canyon falls = 22500

Rate of decrease = 740 per year

Population after x years :

f(x) = 22500 - 740x ; x = number of years

Population of Swift Creek = 15200

Rate of Increase = 1500 per year

Population after x years :

f(x) = 15200 + 1500x ; x = number of years

Number of years when, population of swift creek will be twice that of Canyon falls

15200 + 1500x = 2(22500 - 740x)

15200 + 1500x = 45000 - 1480x

15200 - 45000 = - 1480x - 1500x

-29800 = - 2980x

x = 29800 / 2980

x = 10

After 10 years

Answer:

12.3693169

Step-by-step explanation:

x^2+y^2=r^2

(12)^2=(3)^2=sqroot(153)

=12.3693169

option

(c) is correct

Step-by-step explanation:

jsjsjd

Answer: D

Step-by-step explanation:

D The angle agacent to arc ML is half the degree. Your answer is 118

Answer:

D

Step-by-step explanation:

angle J is a circumference angle that insists on arc ML. the measure the angle  of this arc is double of it

59 * 2 = 118 degrees

Answer:

it goes down by 4 every time

Answer:

1. 6.96500 kilogramos

2. 3.95 kilogramos

Answer:

a) 9yd

b) 12ft

Step-by-step explanation:

a) find the square root

b) divide 48 by 4

Answer:

Graph A is postive and Linear! I know this because I was in algebra one!

Step-by-step explanation:

Graph B and C are Negative and Graph D is not Linear!!!!!

Answer:

Graph A

Step-by-step explanation:

Positive means going up from left to right

This eliminates graph B and C

Graph D is a curve  and not linear

Graph A is a linear plot that is positive

Answer: $ 91.50.

Step-by-step explanation:

Let x be the original price.

Since discount is applied before tax.

New price = (Original price - Discount)-Tax rate (Original price - Discount)

, where Discount = Discount rate x Original price.

Substituting values, we get

[tex]62.28=(x-0.25x)-0.0925(x-0.25x)[/tex]

[tex]62.28=(0.75x)-0.0925(0.75x)[/tex]

[tex]62.28=0.75x-0.069375x[/tex]

[tex]62.28=0.680625x[/tex]

[tex]x=\frac{62.28}{0.680625}[/tex]

[tex]x=91.50[/tex]

Hence, the original price was  $ 91.50.

Answer:

Carly will have to spend $7.25

Step-by-step explanation:

We know that:

1 pound of turkey = $5.80

To find how much 1.25 pounds of turkey will cost, multiply:

5.80 x 1.25 = 7.25

Therefore, 1.25 pounds of turkey will cost $7.25

I really hope this helps!

-SpaceMarsh

Answer:

20 minutes

Step-by-step explanation:

If you add 20 minutes to 7:55 P.M., it becomes 8:15 P.M.

Answer:

20 minutos

Step-by-step explanation:

De 7:55 pm hasta las 8: pasaron 5 minutos, luego de 8:00 a 8:15 pm pasaron 15 minutos.

Así que sería 5 + 15 = 20 minutos

Answer:

1/12

Step-by-step explanation:

i belive this is the answer

Answer:

observations and quadratic formula

Answer:

The answer you're looking for is 8,200cm

Step-by-step explanation:

Answer:

= -11/4

Step-by-step explanation:

To find the slope given two points

m = ( y2-y1)/(x2-x1)

   = (6 - -5)/(-2 -2)

   = (6+5)/(-2-2)

    = 11/-4

    = -11/4

Answer:

-2.75 (-2 3/4)

Step-by-step explanation:

you can do rise of a run whenever you have two points so you have 6-(-5)/-2-2 and solve so -11/4 and that equals -2.75.

Answer:

5=26

14=17

n=1

31n=31*1=31

================================================

Work Shown:

(6 hours)/(8 trees) = (x hours)/(20 trees)

6/8 = x/20

6*20 = 8*x ... cross multiply

120 = 8x

8x = 120

x = 120/8

x = 15

It takes him 15 hours to plant 20 trees.

Answer:

8p+102+4p+60 =90

12p+162-162 =90-162

12p. =-72

p =(-6)

CHT=8p+102

={8×(-6) }+102

=(-48)+102

=54

Answer:

1.6

Step-by-step explanation:

all u gotta do is divide 6.4 by 4:)

hope that helps!<3

Answer:

D

Step-by-step explanation:

Point slope formula y-y1=m(x-x1)

slope formula y1-y2/x1-x2

Points provided (2, 3) and (0,-1)

Let's find the slope. To find slope we need to plug in our numbers in the slope formula (y1-y2/x1-x2)

3-(-1)/2-0

4/2

=2

so slope (m) is 2

Now let's plug this in our point-slope formula (y-y1=m(x-x1)) with one pair of points (2,3)

y-3=2(x-2)

so, therefore, our answer is D!

======================================================

Explanation:

h = number of hours past 7 pm

20h = the number of glasses sold after h hours

20h+180 = adding on the 180 glasses already sold

20h+180 > 240 is the inequality to set up

Let's solve for h

------------------

20h+180 > 240

20h > 240-180

20h > 60

h > 60/20

h > 3

They must remain open more than 3 hours past 7 pm in order to sell more than 240 glasses of juice.

The earliest that they can close is 11 pm (since 4+7 = 11).

--------------------

If h = 3, then

20h+180 = 20*3 + 180 = 240

meaning that they haven't reached their goal of getting over 240

So they have to stay open that extra hour to get past 240.

Answer:

8

Step-by-step explanation:

The median is 8 since 8 is the most common number

Answer:

1. 2 real solutions

2. no real solutions

3. 2 real solutions

4. 1 real solution

Step-by-step explanation:

The 'solution' to a quadratic equation means the x - intercepts of a graph, so how many times the parabola crosses the x-axis.

Answer:

87.9°

Step-by-step explanation:

arctan(50/40)=87.9°

Answer:

c

I hope it's the right answer

Using an absolute value inequality, it is found that the range of temperatures is between 70ºF and 74ºF.

---------------

[tex]|x| = x, x \geq 0[/tex]

[tex]|x| = -x, x < 0[/tex]

---------------

[tex]|x - 72| \leq 2[/tex]

Solving the inequality:

[tex]x - 72 \geq >= -2[/tex]

[tex]x \geq 70[/tex]

And

[tex]x - 72 \leq 2[/tex]

[tex]x \leq 74[/tex]

Thus, the range of temperatures is between 70ºF and 74ºF.

A similar problem is given at https://brainly.com/question/24514895

Answer:

[tex]A=69.11\ m^2[/tex]

Step-by-step explanation:

Given that,

The radius of cylinder, r = 1m

Height of the cylinder, h = 10 m

We need to find the surface area of the cylinder. The total surface area of a cylinder is given by :

[tex]A=2\pi r^2+2\pi rh\\\\A=2\pi r(r+h)[/tex]

Put all the values,

[tex]A=2\pi \times 1(1+10)\\\\=69.11\ m^2[/tex]

So, the surface area of the cylinder is equal to [tex]69.11\ m^2[/tex].

Answer:

We have to:

"All of the plots are the same length, x"

L = x

"and the width of each plot is 5 yards less than the length"

W = x-5

"The total number of plots Liam owns is 20 more than the length of a plot"

20 + x

"the total area of all the plots Liam owns is 2,688 square yards"

A = (20 + x) * (x) * (x-5)

A = (20x - 100 + x ^ 2 -5x) * (x)

A = (x ^ 2 + 15x - 100) * (x)

2688 = (x ^ 3 + 15x ^ 2 - 100x)

x ^ 3 + 15x ^ 2 - 100x = 2688

x ^ 3 + 15x ^ 2 - 100x - 2688 = 0

Answer:

*** The equation x3 + 15x2 - 100x - 2.688 = 0 can be used to find the length of each plot.

Answer:x^3+15x^2-100x-2,688=0

Step-by-step explanation: