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3 years ago

14

A hotel manager found that his gross Receipts for the day including a 3% sales tax were $1,551.18 find the amount of sales tax c

ollected

1 answer:

IrinaK [193]3 years ago

6 0

The total percentage of the equation is 1,597.72

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Write a polynomial function in factored form with double roots at -2 and 5 and the constant term of the polynomial in standard f

Amanda [17]

Answer:

$f(x)=-0.4x^4+2.4x^3+8.4x^2-24x-40$

Step-by-step explanation:

If -2 and 5 are double roots of the polynomial function, then the function expression is

$f(x)=a(x-(-2))^2(x-5)^2\\ \\f(x)=a(x+2)^2(x-5)^2$

Rewrite this function in standard form:

$f(x)=a(x^2+4x+4)(x^2-10x+25)\\ \\f(x)=a(x^4-10x^3+15x^2+4x^3-40x^2+100x+4x^2-40x+100)\\ \\f(x)=a(x^4-6x^3-21x^2+60x+100)\\ \\f(x)=ax^4-6ax^3-21ax^2+60ax+100a$

The constant term of the polynomial in standard form is -40, so

$100a=-40\\ \\a=-\dfrac{40}{100}=-0.4$

Therefore, the function expression is

$f(x)=-0.4x^4-6\cdot (-0.4)x^3-21\cdot (-0.4)x^2+60\cdot (-0.4)x+100\cdot (-0.4)\\ \\f(x)=-0.4x^4+2.4x^3+8.4x^2-24x-40$

7 0

4 years ago

Is three a solution of z^2 +1=4+3z?

DiKsa [7]

Answer:

no

Step-by-step explanation:

z^2 +1=4+3z

Substitute into the equation and see if it is true

3^2 +1 = 4+3(3)

9+1 = 4+9

10 = 13

This is not a true statement so this is not a solution

8 0

3 years ago

The Hudson family is saving for a

Lera25 [3.4K]

The amount of money that Hudson will need to save each week is $106.25.

<h3>How to calculate the value?</h3>

From the information, they determine that the trip will cost $3,200. Mr. and Mrs. Hudson have already set aside $1,500 for the trip.

Let the amount saved each week be represented as w.

Based on the information given, this will be illustrated as:

1500 + 16w = 3200

Collect like terms

16w = 3200 - 1500

16w = 1700

Divide

w = 1700 / 16

w = 106.25

The amount is $106.25.

Learn more about money on:

brainly.com/question/24373500

#SPJ1

4 0

1 year ago

plzzzzzzzzzzzzzzzzz i need help nowwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww

Andre45 [30]

Answer:

D.

Step-by-step explanation:

So find what two numbers multiply to 72 and add up to 17

9 and 8

(z + 9)(z + 8)

4 0

4 years ago

Read 2 more answers

When an expression is written in product form, it is said to be factored. When factored, each of the expressions being multiplie

Step2247 [10]

Answer:

Yes (x – 13), (x-2) are both factors of the equation.

Step-by-step explanation:

Multiplying both factors will give the original equation

factorisation is the reverse of multiplying out.

Furthermore factorization is one of the methods used to solve quadratic problems

Others are graphical solutions and formula method

5 0

3 years ago