The perimeter of a rectangular goat pen is 28 meters. The pen is 5 meters wide. How long is it?

Answer:

f(x) = x^3 - 6x^2+8x

Step-by-step explanation:

Remember while you are studying polynomial functions that zeros are just the solutions (and are the x-intercepts on the graph).

The question said the zeros were 0, 2 and 4, so if you were solving the equation you would get:

x=0 and x=2 and x=4

Just "undo" that last step of solving and you get:

x = 0 and

x - 4 = 0 and

x - 2 = 0

These are the factors of the function and they do look just like the second option of answers on your question. But that is in factored form and they asked you for standard form.

so f(x)=x(x-2)(x-4) is almost there, but you need to multiply all the factors back together.

(x - 2)(x - 4)

use FOIL or distributive property or area model(box) method to multiply and get

x^2 - 6x + 8

Then multiply in the x using distributive property.

f(x) = x(x^2-6x+8)

f(x) = x^3 - 6x^2 + 8x

That's the final answer (the third choice of answers on your post.) I think of this as a "working backwards" problem because you start with solutions (zeros means solutions!) and work backwards to find factors, then the function.

Answer:

The relation between preimage and image

Step-by-step explanation:

Answer: 13,600.

Step-by-step explanation: every hour is 400 bacteria produced. 400x19= 7600. 7600+6000=13600

Answer:

I dont know bro, I am here for the free answers.

Answer:

10,000 is the total amount of.money that was distributed

well, we know is 10% for the first 7500, but Dan only made 5000 of taxable income, so he's in that range of 0 - 7500, so he only gets to pay 10% of 5000.

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{10\% of 5000}}{\left( \cfrac{10}{100} \right)5000}\implies 500[/tex]

Number of solution for the given quadratic equation as Discriminant=0 is equals to 1.

" Quadratic equation is defined as the polynomial containing variables with highest exponent equals to 2."

Formula used

For quadratic equation

[tex]ax^{2} +bx+c=0[/tex]

Discriminant = b²-4ac

According to the question,

Given quadratic equation

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

⇒[tex]x^{2} +4x+1 +3 =0[/tex]

⇒[tex]x^{2} +4x+4 =0[/tex]

Here, a=1 , b= 4 , c =4

Substitute the value in the formula we get,

Discriminant = [tex]4^{2} - 4(1)(4)[/tex]

                     = [tex]16 -16[/tex]

                     = 0

Number of solution discriminant =0 is 1.

[tex]x^{2} +4x+4 =0[/tex]

⇒[tex](x+2)^{2} =0[/tex]

⇒[tex]x= -2[/tex] has unique solution.

Hence, number of solution for the given quadratic equation as Discriminant=0 is equals to 1.

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Answer:

Step-by-step explanation:

hello :  (x-6)² = 90 .....continu

Answer:

10 x 0.007 = 0.07

Step-by-step explanation:

im not sure if thats what you meant

Answer:

x=5

y=0

Step-by-step explanation:

Let's solve the system of equations through elimination

Solving by elimination is when you add or subtract one equation by the other to eliminate one variable

In this case, adding 3x and -3x would cancel each other out so we should add the equations

[tex]-3x + 7y = -15\\+(3x + 5y = 15)\\0+12y=0\\12y=0[/tex]

Now solve for y

Divide both sides by 12 to isolate y

[tex]12y=0\\\\\frac{12y}{12} =\frac{0}{12} \\\\y=0[/tex]

Now sub in the value of y into one of the original equations and solve for x

[tex]3x+5y=15\\3x+5(0)=15\\3x=15\\[/tex]

Divide both sides by 3 to isolate x

[tex]\frac{3x}{3} =\frac{15}{3} \\x=5[/tex]

Answer:

11 and 9

Step-by-step explanation:

With a width of 11 and a length of 9 the area of the rectangle would be

11 * 9 = 99

By adding 11 and 9, then mulitplying it by 2 we get the perimeter

11 + 9 = 20

20 * 2 = 40

Answer:

-5 and 9

Step-by-step explanation:

To find the solutions we will factor the equation.

First we take out a 2:

[tex]2(x^2-4x-45)[/tex]

Then we can factor again:

[tex]2(x+5)(x-9)[/tex]

This provides us with the answer of:

[tex]x+5=0[/tex]

and

[tex]x-9=0[/tex]

Hence the solutions of -5 and 9.

Answer:

2.7

Step-by-step explanation:

15/1 = 40/x

Cross multiply: 40/15

Divide: 2.66

Round up: 2.7

2.7 times 15= 40.5

Answer:

2hrs. 40mins.

Step-by-step explanation:

A babysitter charges a rate of $15 per hour. How long was the babysitter there if she makes $40?

x = hours she babysat

Equation:

15x = 40

Divide to isolate x:

15x = 40

/15   /15

x = 8/3 hrs.

Now, we convert into hours and minutes, since she did work for more than an hour, to earn the $15 each hour.

We know that there are 60 mins. in an hour

60 * 8/3

480/3

160 mins.

Convert into hour and mins:

1 hr. = 60 mins

160/60 = 2 40/60 ==> 2 2/3

Convert 2/3 into mins to add to the hours:

60 * 2/3

120/3 = 40

2hrs. + 40 mins.

2hrs. and 40mins

Therefore, the babysitter was there for 2hrs. 40mins.

Hope this helps!

Answer:

[tex]r=\frac{14}{3}[/tex]

Step-by-step explanation:

Set up an equation and solve for r using the formula for slope:

[tex]\frac{5-7}{r-4}=-3\\ \\-2=-3(r-4)\\\\-2=-3r+12\\\\-14=-3r\\\\\frac{14}{3}=r[/tex]

Answer:

20 mins.

Step-by-step explanation:

A babysitter charges a rate of $15 per hour. How long was the babysitter there if she makes $5?

x = hours she babysat

Equation:

15x = 5

Divide to isolate x:

15x = 5

/15   /15

x = 1/3 hrs.

Now, we convert into minutes, since she didn't work for a whole hour, to earn the $15

We know that there are 60 mins. in an hour

60 * 1/3

60/3

20 mins.

Therefore, the babysitter was there for 20 mins.

Hope this helps!

Answer:

Revenue=$6000

Step-by-step explanation:

A = PRT

100

A= (10,000×4×15)/100

= (10,000×60)/100

= 600,000/100

=$6000

Hideki recognizes a $17,490.06 revenue.

Revenue is the total amount of income generated by the sale of goods and services related to the primary operations of the business.

Given that on January 1, 2022, Hideki Matsuyama provides services in exchange for a $10,000 zero-interest bearing note due in 4 years, and the effective interest rate for a note of this type is 15 percent,

To determine how much revenue does Hideki recognize on January 1, 2022, the following calculation must be made:

x = 10000 x 1.15^4

x = 10000 x 1.749

x = 17490.06

Therefore, Hideki recognizes a $17,490.06 revenue.

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Answer:

5 orange slices will be in each bag with 1 left over

Step-by-step explanation:

36 ÷ 7 = 5 with a remainder of 1

Answer:

X over y or x/y since y is claire and she skated more

Step-by-step explanation:

since y is claire and she skated more

Y=Clarie skated

X= Mai skated

Answer:

It is C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given binomial

Use the property

The binomial remains same without brackets

Answer:

20 days

Step-by-step explanation:

1) [tex]\frac{8}{10}[/tex] must be written as a fraction where the denominator is 25 since there are 25 days of school.

[tex]\frac{8}{10} = \frac{x}{25}[/tex]

2) Cross multiply them.

[tex]10(x) = 25(8)[/tex]

[tex]10x = 200[/tex]

3) Solve for [tex]x[/tex].

[tex]x = \frac{200}{10}[/tex]

[tex]x = 20[/tex]

Answer:

For the third one,

3, 8, 15, 24, 35, 48, 63

For the fourth one,

4, 6, 10, 18, 30, 46, 66

Step-by-step explanation:

Tthe value of Paul's investment after 3 years would be equal to 52,285 penny.

Mathematically, compound interest is calculated by using this formula:

[tex]A=P(1+r )^{t}[/tex]

Where:

Given the following data:

Principal = £500.

Time = 3 years

Interest rate = 1.5% = 0.015.

Substituting the given parameters into the formula, we have;

A = 500(1 + 0.015)³

A = 500(1.015)³

A = 500 × 1.0457

A = £522.85.

Conversion:

100 penny = 1 pounds.

X penny = 522.85 pounds.

Cross-multiplying, we have:

X = 522.85 × 100

X = 52,285 penny.

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Answer:

x+y=0

8+y=0

y=8

Step-by-step explanation:

correct me if I'm wrong

Answer:

D. 44

Step-by-step explanation:

y = (8 x 5) +4

y= 40 + 4

y= 44

Answer:

A rectangle with sides lengths 4cm and 6cm and a rectangle with side lengths 2cm and 12 cm...

Answer:

HEyy

Step-by-step explanation:

its one square inch because if you think about it a little postage samp is very tiny

Answer:

9,-10

Step-by-step explanation:

Let u be a number.

[tex]u + {u}^{2} = 90[/tex]

[tex]u {}^{2} + u - 90 = 0[/tex]

[tex](u + 10)(u - 9) = 0[/tex]

[tex]u = - 10[/tex]

or

[tex]u = 9[/tex]

9, -10