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Lunna [17]
2 years ago
5

Simplify (x – 3) (232 – 4x – 7)

Mathematics
2 answers:
jasenka [17]2 years ago
4 0

Answer:

-4x^2+232x-675

Step-by-step explanation:

x*(232-4x-7)-3(232-4x-7) remove the term from the first parentheses and multiple. Then, remove the parentheses .

232x-4x^2-7x-696+12x+21 Calculate the like terms and then rearrange.

=-4x^2+232x-675.

Hope that helps.

11111nata11111 [884]2 years ago
3 0

Answer:

-4x^2 + 237x - 675

Step-by-step explanation:

(x - 3)*(232 - 4x -7)                            >> Distribute x and -3 to the trinomial

232x - 4x^2 - 7x - 696 + 12x + 21     >> Simplify

-4x^2 + 237x - 675

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Raffle tickets were sold for a school fundraiser to parents, teachers, and students. 563 tickets were sold to teachers. 888 more
Llana [10]

Given :

Raffle tickets were sold for a school fundraiser to parents, teachers, and students. 563 tickets were sold to teachers. 888 more tickets were sold to students than to teachers. 904 tickets were sold to parents.

To Find :

How many tickets were sold to students.

Solution :

Ticket sold to teachers, T = 563 .

Ticket sold to parents, P = 904 .

Let, ticket sold to students are S.

Now, it is given that :

S = T + 904

S = 563 + 904

S = 1467  students

Therefore, tickets sold to students are 1467 .

Hence, this is the required solution.

6 0
2 years ago
Which expressions are polynomials?
cupoosta [38]

<em><u>The expressions that are polynomial are:</u></em>

6 + w

2x^4 - y

z + 1

<em><u>Solution:</u></em>

A polynomial is an expression with variables and coefficients with the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables

1) 6 + w

Here "w" is a variable, hence it is a polynomial expression

2)\ 2x^4 - y

This is a polynomial, since it has variables and coefficients and variable with non negative exponent

3) z + 1

This is also a polynomial with variable "z" and has addition operation

4)\ y^2 - y\sqrt{3} + 4

Since it has root so it is not a polynomial

6 0
3 years ago
Read 2 more answers
How are rational functions similar to linear, quadratic, or exponential functions? How are they different? When are these simila
jeyben [28]

Answer:

See explanation below for further details.

Step-by-step explanation:

A rational consist of two real numbers such that:

\frac{a}{b} =c

If c is a polynomial with a certain grade, then, both the numerator and the denominator must be also polynomials and the grade of the numerator must be greater than denominator.

If c is linear function, that is, a first order polynomial, then a must be a (n+1)-th polynomial and b must be a n-th polynomial.

Example:

If a = x^{2} and b = x, then:

c = \frac{x^{2}}{x}

c = x

If c is a quadratic function, that is, a second order polynomial, then a must be a (n+1)-th polynomial and b must be a n-th polynomial.

Example

If a = 3\cdot x^{3} and b = x, then:

c = \frac{3\cdot x^{3}}{x}

c = 3\cdot x^{2}

But if c is an exponential, both the numerator and the denominator must be therefore exponential function and grade of each exponential function must different to the other.

Example

If a = 10^{2x} and b = 3\cdot 10^x, then:

c = \frac{10^{2\cdot x}}{3\cdot 10^{x}}

c = \frac{1}{3}\cdot 10^{2\cdot x -x}

c = \frac{1}{3}\cdot 10^x

Otherwise, c would be equal to a constant function, that is, a polynomial with a grade 0.

If a = 5\cdot e^{x} and b = -3\cdot e^{x}, then:

Example

c = \frac{5\cdot e^{x}}{-3\cdot e^{x}}

c = -\frac{5}{3}

It is worth to add that exponential functions can be a linear combination of single exponential function, similar to polynomials.

Example

5\cdot a^2\cdot x -9

7 0
3 years ago
Which of the following fractions is equivalent to -84/-90 in the least common terms?
abruzzese [7]
Answer: 14/15

This is because to get to 14/15 you must divide by 6 but when getting to 42/45 you must divide 2. Therefore 14/15 is your answer because the problem went to the most reduced fraction.
5 0
2 years ago
In 1987 Babe Ruth has a record setting season in which he hit 60 home runs for New York Yankees. If babe Ruth continues at the s
sp2606 [1]

Answer:

If he maintains the same rate he'll hit 180 home runs over the next three seasons.

Step-by-step explanation:

If he maintains the same rate of homeruns per season as he did in 1987 the number of home runs he'll hit over the next three seasons is the rate from 1987 multiplied by 3. We have:

number of home runs = 3*rate

number of home runs = 3*60

number of home runs = 180

If he maintains the same rate he'll hit 180 home runs over the next three seasons.

7 0
2 years ago
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