Use a table of values to graph the function f(x) = x^2 - 4x +3

Answer:

Amount invested = $15,000 (Approx.)

Step-by-step explanation:

Given:

Amount of interest received = $6,159

Rate of interest = 3.5%

Number of year = 10 year

Find;

Amount invested

Computation:

Using compound interest formula

I = P[(1+r)ⁿ - 1]

6,159 = Amount invested[(1+3.5%)¹⁰ - 1]  

6,159 = Amount invested[(1+0.035)¹⁰ - 1]  

6,159 = Amount invested[(1.035)¹⁰ - 1]  

Amount invested = $15,000 (Approx.)

Answer:

regular

Step-by-step explanation:

because an irregular polyhedron is formed by polygons of different shapes where all the components are not the same.

Answer:

[tex]x = -2[/tex]

Step-by-step explanation:

Given

[tex]y=\frac{-3}{(x+2)^2}+3[/tex]

[tex]y = - 3[/tex]

[tex]y = 0[/tex]

The question has confusing details because the height of a shape do not relate to the given parameters.

A more complete question found on the brainly shows that the complete question asks for the asymptote of the function.

To do this, we have:

[tex]y=\frac{-3}{(x+2)^2}+3[/tex]

Take LCM

[tex]y = \frac{-3 + 3(x+2)^2}{(x+2)^2}[/tex]

Equate the denominator to 0

[tex](x + 2)^2 = 0[/tex]

Take square roots of both sides

[tex]x + 2 = 0[/tex]

Solve for x

[tex]x = -2[/tex]

Hence, the asymptote is at [tex]x = -2[/tex]

Answer:

about 65 days

Step-by-step explanation:

46/30 = 1.53 pounds per day

100/1.53 = about 65

Answer:

Step-by-step explanation:

6

Step-by-step explanation:

because 1 + 2 =3 3+4 = 5 5 +6 = 6 please mark brainlist

Answer:

600ft²

Step-by-step explanation:

Oh boy, this is gonna be a long one, so proceed with caution:

So we're gonna start with the one to the very left, we can split this into three different rectangles:

So we got the length of the bottom minus the length we don't want there because we're doing the big rectangle:

35 - 10 = 25

25 x 20 = 500

So we're just gonna keep that on a back burner, cause now we gotta do the two smaller ones:

So we got the measure from the one side, but we gotta subtract the 10 from the other side:

20 - 10 = 10

10 x 10 = 100

Now we gotta add that all up:

500 + 100 = 600

So the area of the first shape is 600ft²

I gotta go, but hope this helps a little bit

Answer:

$18500.21

Step-by-step explanation:

Good god, that is a really expensive food processor

Answer: n=-12

Step-by-step explanation: Hope this help :D

Answer:

hola

Step-by-step explanation:

pouta

Answer:

they weigh 2 pounds each

Answer:

angle b = 25°

for angle A = 180 - 50 (ie 25 + 25)

angle a =130°

Answer:

she is smart.

Step-by-step explanation:

she

used

her

brain.

Answer: Subtract 3 from each side of the equation(A)

Step-by-step explanation:

3n2−15n=3

1:Subtract 3n2 from both sides.

-15n=3-3n2

2:Divide both sides by -15.

-15n/-15=3-3n2/-15

3:Dividing by −15 undoes the multiplication by −15.

n=3-3n2/-15

4:Divide 3−3n 2 ​ by −15

n=n2-1/5

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An equation is formed of two equal expressions. The first step in solving the given equation is to Subtract 3 from each side of the equation.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The solution of the equation 3n²-15n=3 can be done as,

3n²-15n=3

3n²-15n-3=3-3

3n²-15n-3=0

(3n²-15n-3)/3=0/3

n²-5n-1=0

Therefore, the first step in solving the given equation is to Subtract 3 from each side of the equation.

Learn more about Equation:

https://brainly.com/question/2263981

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Answer:

(11/2)² or 121/4 would be added to the equation x ² +11x+30=0,  to "complete the square".

Step-by-step explanation:

x 2 +11x+30=0

Write the equation in the form of the square

(x)^2 + 2(x) (11/2)  + (11/2)^2  + 30 - 121/4= 0

Square of the first element + 2 into first element into 2nd element + square of 2nd element gives the complete square formula.

How we obtained the second element?

The mid term broken must always be equal to the mid term given.

Hence

2(x)    can only be equal to 11x if we multiply it by 11 and divide it with 2.

So the second term must be 11/2 .

To complete the square this second term ( 11/2)² is added and then subtracted to keep the equation equal to the original equation.

(x)^2 + 2(x) (11/2)  + (11/2)^2  + 30 - 121/4= 0

Putting it in the form of square

(x+ 11/2)^2  + 120-121/4= 0

Taking LCM and solving

(x+ 11/2)^2   - 1/4= 0

(x+ 11/2)^2  = 1/4

Taking square root on both sides

(x+ 11/2)   = ± 1/2

x= - 11/2  ± 1/2

x= -10/2= -5

x= -12/2= -6

Answer:

Step-by-step explanation:

No, not quite. She's close.

The middle term (often called the linear term) is + which means that the absolute value of the factors must be plus.

(x + 5)(x - 3) is what should should think.

x + 5 = 0

x = - 5

x + 2 = 0

x = - 2

(x + 5)(x - 2)

x^2 - 2x + 5x - 10

x^2 + 3x - 10

Answer:

1. Proportional

2. Not proportional

3. Proportional

Step-by-step explanation:

You can tell because the line is straight, which shows how the graph is proportional. Hope this helps!

Answer:

C. 22 mph

Step-by-step explanation

Assign the speed of the freight train as; x mph

Since the passenger train travels 6 mph faster than the freight train, its speed will be; (x + 6) mph

In 2 hours, the freight and passenger trains will have traveled (distance = speed * time);

2x and 2(x + 6) miles respectively

Both add up to 100 miles. Therefore;

2x + 2(x +6) = 100

4x + 12 = 100

4x = 88

x = 22

x + 6 = 28

Answer:

0.512 = 51.2%

1.94 = 194%

0.9 = 90%

1.33 = 133%

1.14 = 114%

1.42 = 142%

Step-by-step explanation:

 To convert a decimal to a percent, move the decimal point two spaces to the right.

 Converting a percent to a decimal works the same way, except you move the decimal two spaces to the left.

[Note: If there aren't enough numbers to go over two spaces, place a zero at the end. For example, if you have 0.9, and you need to convert it into a percent, you'd place a zero after the 9, making it 0.90.]

Answer:

8 is the answer \(-ㅂ-)/ ♥ ♥ ♥(╯°□°）╯︵ ┻━┻

Answer: 8

Step-by-step explanation:

Question:

Find the surface area of the following figure below. Use 3.14 for pi

Answer:

9

Step-by-step explanation:

The circle has the same value of the side which is 3 so the length and width is 3 too. So the formal is L x W = Area. So this means 3 x 3 = 9

Answer:

[tex] \boxed{A ≈ 58.1 \: cm^{2}} [/tex]

Step-by-step explanation:

When given a regular polygon.

s = a × 2 tan (π / n [radians]).

s = a × 2 tan (180 / n [degrees])

A = (n × s × a) / 2

Where s is the side length, n is the number of sides, a is the apothem length, and A is the area.

You may also see A = p × a.

Where p is the perimeter, the perimeter is the same as n × s.

The apothem is also known as the inradius.

______________________________________

Given a regular pentagon which has 5 sides, and an apothem of 4 cm.

s = 4 × 2 tan (180 / 5) = 4 × 2 × (0.726542528) = 8 × (0.726542528) = 5.81234022404.. ≈ 5.8 cm.

Now that we have sufficient information, we can now solve for the area.

A = (n × s × a) / 2

A = (5 × 5.81234022404.. cm × 4) / 2

A = (20 × 5.81234022404.. cm) / 2

A = (116.236804481.. cm²) / 2

A = 58.1234022404.. cm²

A ≈ 58.1 cm²

The area of the regular polygon is the amount of space it covers

The area of the regular polygon is 58.1 square centimeter

The given parameter is:

[tex]\mathbf{a=4}[/tex]

Start by calculating the side lengths using

[tex]\mathbf{s = 2a\ tan (\frac{180}{ n} )}[/tex]

Where n represents the number of sides.

In this case

[tex]\mathbf{n =5}[/tex]

So, we have:

[tex]\mathbf{s = 2a\ tan (\frac{180}{ 5} )}[/tex]

[tex]\mathbf{s = 2a\ tan (36)}[/tex]

Substitute 4 for (a)

[tex]\mathbf{s = 2 \times 4\ tan (36)}[/tex]

[tex]\mathbf{s = 8\ tan (36)}[/tex]

[tex]\mathbf{s = 5.8123}[/tex]

The surface area is then calculated as:

[tex]\mathbf{A = \frac{n \times s \times a}{ 2}}[/tex]

So, we have:

[tex]\mathbf{A = \frac{5 \times 5.8123 \times 4}{2}}[/tex]

[tex]\mathbf{A = 58.123}[/tex]

Approximate

[tex]\mathbf{A = 58.1}[/tex]

Hence, the area of the regular polygon is 58.1 square centimeter

Read more about areas at:

https://brainly.com/question/12000718

Answer:

The dimension of the sandbox is (2x+1) by (x - 3)

Step-by-step explanation:

It seems the complete question will be:

The area of sandbox in park is represented by 2X^2-5x-3 find the dimensions of the sandbox in terms of x.

Step-by-step explanation:

From the question, the given expression is 2X^2-5x-3. This can be rewritten as

[tex]2x^{2} -5x-3[/tex]

If the area of the sandbox in park is represented by this expression, then the dimensions of the sandbox will be the product of the factors. To determine the factors, we will factorize the given quadratic expression.

Factorizing the expression [tex]2x^{2} -5x-3[/tex], we get

[tex]2x^{2} -6x+x-3[/tex]

[tex]2x(x-3)+1(x-3)[/tex]

[tex](2x+1)(x-3)[/tex]

Hence, the dimension of the sandbox is (2x+1) by (x - 3)

Answer:

a < 5

Step-by-step explanation:

Given

10a < 50 ( divide both sides by 10 )

a < 5

Answer:

A. -1/3 is the answer for this question

Answer:

m=-1/3 so the answer is A.

Step-by-step explanation:

Step One: Identify two points on the line.

Step Two: Select one to be (x1, y1) and the other to be (x2, y2).

Step Three: Use the slope equation to calculate slope.

m=4-(-1)/-12-3

m=-1/3

Hope this helped!!!

Answer:

x equals 4

Step-by-step explanation:

2 times 4 is 8 plus 5 is 13 and them 4 times 4 is 16 and 16 minus 3 is 13

Answer:

3840

Step-by-step explanation:

thbyrtjnbyj

Answer:

idek there is only half a question

Step-by-step explanation:

Answer:

103.62

Step-by-step explanation:

Formula: v = πr²[tex]\frac{h}{3}[/tex], v = πr²h

Given: π = 3.14, r = 3, h = 5

Sub: 3.14(3)²[tex]\frac{5}{3}[/tex]

Simplify: 3.14(9)[tex]\frac{5}{3}[/tex]

Simplify: (28.26)[tex]\frac{5}{3}[/tex]

Solve: 47.1

Given: π = 3.14, r = 3, h = 6

Sub: 3.14(3)6

Simplify: (9.42)6

Solve: 56.52

V = v1 + v2

V = 47.1 + 56.52

V = 103.62

The total volume of the figure is 103.62

Answer:

3^4

Step-by-step explanation:

4^3=64

3^4=81