5. Solve for x.
21
4

The linear function that models the relationship is P = 28,200 + 1950t.

A linear function is a function that has a single variable raised to the power of 1. An example is x + 2

The first step is to determine the rate of increase in the population:

Rate of increase = (population in 2012 - population in 2008) / number of years

(36.000 - 28,200) / 4 = 1950

P = 28,200 + 1950t

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The equation of line is y = -3x + 8

Slope is the ratio of the change in the y coordinates to the change in the x coordinates.

Analysis:

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

m = 14 -5 / -2-1  = 9/-3 = -3

when y = 5, x = 1

y = mx + c

5 = -3(1) + c

5 = -3 + c

c = 5+3 = 8

Y = -3x + 8

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Answer:

The answers are in the picture. Remember that first is x and then y when you see those coordinated again. (10,11) X=10 and Y=11.

Step-by-step explanation:

The answer to the given question is as below:-

Polynomials:-

x³-7x²+9x-5x⁴-20

x⁵-5x⁴+4x³+2x-1

3x²-5x⁴+2x-12

Non-polynomial:-

x⁻5-5x⁻⁴+4x⁻³+2x⁻1-1

[tex]\dfrac{4}{x^4}+ \dfrac{3}{x^3}-\dfrac{2}{x^4}-1[/tex]

[tex]\sqrt[4]{x} -\sqrt[3]{x} 4+\sqrt{x}-8x+16[/tex]

A polynomial is a mathematical equation made up of indeterminates and coefficients and involves only addition, subtraction, multiplication, and non-negative integer exponentiation of variables. The exponents of the polynomials can not be irrational.

So the table will be formed as:-

Polynomials:-                            Non-polynomial:-        

x³-7x²+9x-5x⁴-20                     x⁻5-5x⁻⁴+4x⁻³+2x⁻1-1        

x⁵-5x⁴+4x³+2x-1                        [tex]\dfrac{4}{x^4}+ \dfrac{3}{x^3}-\dfrac{2}{x^4}-1[/tex]

3x²-5x⁴+2x-12                           [tex]\sqrt[4]{x} -\sqrt[3]{x} 4+\sqrt{x}-8x+16[/tex]

Therefore the polynomials and non-polynomials are shown in the table above.

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Considering the market options that an investor takes, Each scenario listed is attached to the right action that is shown on the tiles:

An investor can be defined as a name given to an individual that takes every opportunity opened to him to make a profit and by so doing doesn't use his money but puts it into a venture that will yield more.

In conclusion, the list above are the required actions for each scenario that is encountered by an investor

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Answer:

Step-by-step explanation:

hold

sell

buy

hold

Answer:

Okay, I figured it out. XY=9.246691583 or 9.247 if you're rounding.

Step-by-step explanation:

In the right triangle of XYZ, Given that angle Z=90 degrees, angle X=58 degrees and XZ=4.9m.

Since it's a right triangle you can use SOHCAHTOA:

cosθ=adjacent/hypotenuse

cosθ=4.9/h

You can then manipulate the formula to this

h=4.9/cos(degree) = h=4.9/cos(58)

=9.246691583

hope this helps

Answer:

[tex]x =i\\\\x =-i\\\\x=\sqrt 5\\\\x=-\sqrt 5[/tex]

Step-by-step explanation:

[tex]~~~~~~~~x^4-4x^2 -5 = 0\\\\\implies x^4-5x^2+x^2 -5 = 0\\ \\\implies x^2(x^2 -5)+(x^2-5) =0\\ \\\implies (x^2 +1)(x^2 -5) - 0\\\\\implies x^2+1 = 0~~~~~~~~~ \text{Or}~~~~~~~~~ x^2 -5 = 0\\\\\implies x^2 = -1~~~~~~~~~~~~ \text{Or}~~~~~~~~~x^2 = 5\\\\\implies x= \pm\sqrt{-1}~~~~~~~~~\text{Or}~~~~~~~~~x=\pm\sqrt 5\\\\\implies x = \pm i~~~~~~~~~~~~~~\text{Or}~~~~~~~~~x=\pm\sqrt 5\\[/tex]

In the diagram, the area of the given shape is 102 cm²

From the question question, we are to determine the area of the given shape

The given shape is a kite

The area of a kite is given by the formula,

[tex]A =\frac{pq}{2}[/tex]

Where A is the area

p and q are the diagonals

In the given diagram,

p = 6cm + 6 cm = 12 cm

q = 3 cm + 14 cm = 17 cm

Thus,

Area of the kite = [tex]\frac{12 \times 17}{2}[/tex]

Area of the kite = 6 × 17

Area of the kite = 102 cm²

Hence, the area of the given shape is 102 cm²

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Answer:

Step-by-step explanation:

just follow the formula in the picture

Area = b × h

Area = 15 × 8

Area = 120 in²

Answer:

[tex]N + M = \begin{pmatrix}17.3&7.3\\ -5.2&-1.6\\ -8.2&-4.7\end{pmatrix}[/tex]

Step-by-step explanation:

[tex]\begin{pmatrix}9.1&7.9\\ -2.4&0.2\\ -5.8&1.4\end{pmatrix} +\begin{pmatrix}8.2&-0.6\\ -2.8&-1.8\\ -2.4&-6.1\end{pmatrix} =\begin{pmatrix}9.1+8.2&7.9-0.6\\ -2.4-2.8&0.2-1.8\\ -5.8-2.4&1.4-6.1\end{pmatrix}[/tex]

Then

[tex]\begin{pmatrix}9.1&7.9\\ -2.4&0.2\\ -5.8&1.4\end{pmatrix} +\begin{pmatrix}8.2&-0.6\\ -2.8&-1.8\\ -2.4&-6.1\end{pmatrix} =\begin{pmatrix}17.3&7.3\\ -5.2&-1.6\\ -8.2&-4.7\end{pmatrix}[/tex]

Answer:

90

Step-by-step explanation:

Since the sum of a circle is 360, just divide 360 and 1/4.

Answer:

1/3

Step-by-step explanation:

The total # of bars = 12. (4+5+3)

4 of those, are snickers

4/12 (Target / Total)

1/3 (simplified)

-- Gage Millar, Algebra 1/2 Tutor (Pending Pre-Calc Tutor)

Answer:

Step-by-step explanation:

2x - 5 = 1/2x - 2

3/2x - 5 = -2

3/2x = 3

3x = 6

x = 2

y = 4 - 5

y = -1

(2, -1)

Step-by-step explanation:

Given =

AC = 6cm

BC = 9cm (hyp)

AB =

By pyth

A^2 = B^2 + C^2

9 = 6 + AB

AB = 9-6 = 3

AB =3

Hope this helps

Answer:

1848 Cubic Meters

Step-by-step explanation:

The volume should be (7*24*22)/2

This is because this object is bascally half of a rectangular prism, so we need to divide the whole product by 2 at the end.

7*24*22 = 3696

3696/2 = 1848

Answer:

20264xy is the answers for the question

Step-by-step explanation:

please mark me as brainlest

The height of the tree is 1.95 meters.

At 11 AM, we have

Savannah = 1.75 m

Tree Shadow = 43.75 m

Savannah Shadow = 39.2 m

So, we make use of the equivalent ratio

Savannah :Tree::Savannah Shadow:Tree Shadow

Now, 1.75:Tree::39.2:43.75

In fraction Tree/1.75 = 43.75/39.2

Multiply both sides by 1.75

Tree =43.75/39.2 ×1.75

Tree=1.95

Therefore, the height of the tree is 1.95 meters.

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Answer:

47.5

Step-by-step explanation:

38/80x100%=47.5

Answer:

47.5%

Step-by-step explanation:

Before we get started in the fraction to percentage conversion, let's go over some very quick fraction basics. Remember that a numerator is the number above the fraction line, and the denominator is the number below the fraction line. We'll use this later in the tutorial.

When we are using percentages, what we are really saying is that the percentage is a fraction of 100. "Percent" means per hundred, and so 50% is the same as saying 50/100 or 5/10 in fraction form.

So, since our denominator in 38/80 is 80, we could adjust the fraction to make the denominator 100. To do that, we divide 100 by the denominator:

100 ÷ 80 = 1.25

ow we can see that our fraction is 47.5/100, which means that 38/80 as a percentage is 47.5%.

We can also work this out in a simpler way by first converting the fraction 38/80 to a decimal. To do that, we simply divide the numerator by the denominator:

38/80 = 0.475

Once we have the answer to that division, we can multiply the answer by 100 to make it a percentage:

0.475 x 100 = 47.5%

And there you have it! Two different ways to convert 38/80 to a percentage. Both are pretty straightforward and easy to do, but I personally prefer the convert to decimal method as it takes less steps.

I've seen a lot of students get confused whenever a question comes up about converting a fraction to a percentage, but if you follow the steps laid out here it should be simple. That said, you may still need a calculator for more complicated fractions (and you can always use our calculator in the form below).

If you want to practice, grab yourself a pen, a pad, and a calculator and try to convert a few fractions to a percentage yourself.

Hopefully this tutorial has helped you to understand how to convert a fraction to a percentage. You can now go forth and convert fractions to percentages as much as your little heart desires!

Answer:

154 minutes to process and spell check 28 pages

Step-by-step explanation:

33 Minutes to process 6 pages

If we divide both of these numbers by 6 we will get the time taken to process 1 page

33 ÷ 6 = 5.5 minutes, and 6 ÷ 6 = 1 page

So 5 and a half minutes per page

To find out how long 28 pages will take, we multiply by 28

5.5 × 28 = 154 minutes, and 1 × 28 = 28 pages

Which gives us the time of 154 minutes to process and spell check 28 pages

The solution is B, (x, y, z) = (-1, 0, 0).

Eliminate z from the last two equations:

(y + 2z) + 2 (x - y - z) = 0 + 2 (-1)

2x - y = -2

Eliminate y from this and the first equation:

(-3x + 2y) + 2 (2x - y) = 3 + 2 (-2)

x = -1

Solve for y :

2x - y = -2

2 (-1) - y = -2

y = 0

Solve for z :

x - y - z = -1

-1 - 0 - z = -1

z = 0

Answer:

it is 3rd option C. -4, 5

Step-by-step explanation:

all the elements are associated with only one second element except -4

for -4 there are two second elements 3 and 5 from the ordered pairs (-4, 3) and (-4, 5)

so we can remove one of them to make R a function

since (-4, 3) is not in the options so the correct option is (-4, 5)

so c is the right one

Hope This Helped

As per defination of function

Every domain has an unique range

or

Here

One point need to be removed to get it function

Hence the point is (-4,5)

1. The loan balance after 2 years is $45,262.

2. The loan balance after 3 years is $42,678.

3. The loan balance after 1 year is $47,700.

The loan balance is the amount remaining from the principal amount after the deduction of repayment and the addition of interest for the period.

The loan balance can be computed manually as below:

Loan amount = $50,000

Interest rate = 6%

Annual repayments = $5,000

1st year:

Loan amount = $50,000

Repayment = ($5,000)

Interest = $2,700 ($50,000 - $5,000) x 6%

Loan balance = $47,700 ($50,000 - $5,000 + $2,700)

2nd year:

Loan balance = $47,700

Repayment = ($5,000)

Interest = $2,562 ($47,700 - $5,000) x 6%

Loan balance = $45,262 ($47,700 - $5,000 + $2,562)

3rd year:

Loan balance = $45,262

Repayment = ($5,000)

Interest = $2,416 ($45,262 - $5,000) x 6%

Loan balance = $42,678 ($45,262 - $5,000 + $2,416)

Thus, the loan balance after 3 years is $42,678.

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Answer:

the answer is 16/20 feet oooooooooooo

The smallest number of the data set is 18.

Range is used to measure the spread of  a dataset. Range is determined by subtracting the largest number from the smallest number.

Range = largest number - smallest number

Smallest number = largest number - range

50 - 32 = 18

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Step-by-step explanation:

X^2 +4X +4=12 subtract the 12 from both sides

X^2 +4x-8= 0

now factor if possible since this equation is not factorable you can use the quadratic formula

Answer:

 262.5 gallons

Step-by-step explanation:

The amount used is the difference between the starting and ending amounts:

 350 -(1/4) (350) = 262.5 gallons used

Answer:

2(6p+5) =

12p+10 =

12p = -10

p = -10/12

p = -5/6

Answer:

215

Step-by-step explanation:

1/6 chance to roll a 6

1/6 * 1290