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2 years ago

Needs to be over P_4(C), I know how to do over P_4(R).

Mathematics

1 answer:

nasty-shy [4]2 years ago

7 0

Answer:

defendant who, before being served with process, timely returns a waiver need not serve an answer to the complaint until 60 days after the request was sent—or ...

Step-by-step explanation:

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Simon has 20 quarters and 12 dimes.He wants to purchase ice cream for his friends.An ice cream cone cost $1.00.How many cones ca

Helga [31]

Answer:

Step-by-step explanation:

Each ice cream cone costs 4 quarters or 10 dimes, so Simon has ...

20/4 + 12/10 = 5 + 1.2 = 6.2

times the price of an ice cream cone. He can buy 6 cones for his friends.

8 0

2 years ago

A 50-gallon tank is filled with a 40% ethanol solution. How much solution should be drained but and replaced with an 80% ethanol

DIA [1.3K]

How do you create your equations when working on a mixture word problem?

Let's try to think about the general form of a word problem involving mixtures.

In general, we have the following scenario:

a merchant sells two kinds of products (coffee, sweets, etc).

we know the unit prices for both kinds of products and for the final mixture

US dollars per pound for the first kind of product,

US dollars per pound for the second kind of product

US dollars per pound for the mixture

we know the total quantity formed by the mixture of the two products (

pounds)

we have to find out the quantities of each product needed to form the mixture

(here we have the variables:

denoting the quantity of the first kind of product and

denoting the quantity of the second kind of product)

Now, we have sufficient information to work out the equations.

First, we know that the sum of the two quantities is

pounds, which gives us the first equation:

Second, we know that the sale price is the product of quantity and unit price, which gives us the second equation:

⋅

Now, we have a system of two linear equations that can be easily solved by substitution.

3 0

2 years ago

I need help there’s more than one answer .

myrzilka [38]

Answer:

Step-by-step explanation:

5 0

3 years ago

Multiply and subtract these polynomials and simplify. Enter your response in standard form. (2x^3 − 3x + 11) − (3x^2 + 1)(4 − 8x

Lera25 [3.4K]

Answer:

=26x^3−12x^2+5x+7

Step-by-step explanation:

2x^3−3x+11−(3x^2+1)(4−8x)

Distribute:

=2x^3+−3x+11+24x^3+−12x^2+8x+−4

Combine Like Terms:

=2x^3+−3x+11+24x^3+−12x2+8x+−4

=(2x^3+24x^3)+(−12x^2)+(−3x+8x)+(11+−4)

=26x^3+−12x^2+5x+7

5 0

3 years ago

Read 2 more answers

Do you agree with the statement that " cubic functions must have at least 1 x-intercept but not more than 3, whereas quadratic f

vladimir2022 [97]

Answer:

Yes, I agree

Step-by-step explanation:

For the cubic function

A cubic function is represented as:

$f(x)=ax^3+bx^2+cx+d$

A cubic function may have 1, 2 or 3 x intercepts. This is shown below

For 3 x intercepts

$y = x^3 - x$

Equate y to 0

$x^3 - x = 0$

Expand

$x(x^2 - 1) = 0$

Express $x^2 - 1$ as difference of two squares

$x(x - 1)(x +1 ) = 0$

x = 0 or 1 or -1

For 2 x intercepts

$y = x^3 - x$

$y =(x-5)^2)(x+7)$

Equate y to 0

$(x-5)^2(x+7) = 0$

Expand

$(x-5)(x-5)(x+7) = 0$

x= 5 or x = -7

For 1 x intercept

$y = x^3$

Equate y to 0

$x^3 = 0$

Take cube roots of both sides

$x = 0$

It has been shown above that a cubic function may have 1, 2 or 3.

So, I agree to the statement

For the quadratic function

A quadratic function will not have any x intercept when the function can not be factorized;

E.g.

$y = x^2 + x + 17$

The above function has no x intercept.

A quadratic function will have at least 1 x intercept when the function can be factorized;

E.g.

$y = x^2- 6x + 9$

Equate y to 0

$x^2- 6x + 9 = 0$

Expand

$x^2 - 3x - 3x + 9 = 0$

$(x - 3)(x-3) = 0$

$x = 3$

We've shown that a quadratic may have no x intercept, and it may also have x intercept(s)

Hence, I agree to both statement

3 0

2 years ago