MATHEMATICS HIGH SCHOOL

Which is a quadratic function having a leading coefficient of 3 and a constant term of –12?

Answers

Answer 1
Answer: f(x) = 3x^2 + 11x – 12.
Answer 2
Answer:

Answer:

f(x) = 3x^2 + 11x – 12.

Step-by-step explanation:

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The average annual salary of the employees of a company in the year 2005 was $70,000. It increased by the same factor each year and in 2006, the average annual salary was $82,000. Let f(x) represent the average annual salary, in thousand dollars, after x years since 2005. Which of the following best represents the relationship between x and f(x)?

Answers

We can make use of the general formula for the geometric series to generate the function representing the average annual salary.
an = a0(r)^(n-1)

Or
f(x) = a0(r)^(x - 1)

Plugging in the given values for the year 2005 and 2006 to ge the value of r.
82000 = 70000 (r)^(1-1)
r = 1.1714

Therefore, the function is:
f(x) = 70,000 (1.1714)^(x-1)

The function best represents the relationship between x and f(x) will be f(x) = 70,000 (1.1714)^(x-1).

What is a function?

A function is defined as a relation between the set of inputs having exactly one output each.

The general formula for the geometric series to generate the function represents the average annual salary.

a_n = a_0(r)^(n-1)

Or

f(x) = a_0(r)^(x - 1)

The values for the years 2005 and 2006 to get the value of r.

82000 = 70000 (r)^(1-1)\nr = 1.1714

Therefore, the function will be:

f(x) = 70,000 (1.1714)^(x-1)

Learn more about function;

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Ali wants to buy a piano. the piano measures 19/4 feet long. she has a space 5 feet

Answers

She'll have enough room cause 19/4 needs to be a mixed number, which is 4 3/4 feet.
Hope this helps C=

Factories fully the flowing
x^(2) +3x \n2x^(2) -8x \n6x+9x^(2) \n12x^(3) -4x^(2)

Answers

Answer:

Given below:)

Step-by-step explanation:

1) (x)(x+3)

2) (2x)(x-4)

3) (3x)(2+3x)

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

I have factorised all of them by taking the common factor out of each

Rob has 40 coins, all dimes and quarters, worth $7.60. How many dimes and how many quarters does he have?

Answers

The required Rob has 16 dimes and 24 quarters as he has a total of 40 coins.

What are equation models?

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Let x be the number of dimes that Rob has, and y be the number of quarters.

We know that he has a total of 40 coins, so,

x + y = 40 ( 1)

We also know that the value of all his coins is $7.60. The value of x dimes is 10x cents, and the value of y quarters is 25y cents. So,

10x + 25y = 760 ( 2)

Now we can solve for x and y. Let's start by solving equation 1 for one of the variables:

x + y = 40

y = 40 - x

Substitute this expression for y into equation 2:

10x + 25y = 760

10x + 25(40-x) = 760

10x + 1000 - 25x = 760

-15x = -240

x = 16

So Rob has 16 dimes. We can use equation 1 to find the number of quarters:

x + y = 40

16 + y = 40

y = 24

So Rob has 24 quarters.

Therefore, Rob has 16 dimes and 24 quarters.

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24 quarters and 16 dimes because 24*25=600 and 16*10=160 add them 2gether will be 760=$7.60

What is the general form of the equation of a circle with its center at (-2, 1) and passing through (-4, 1)?

Answers

The equation of circle is:
(x-a)^2+(y-b)^2=r^2 where C(a, b) is the center.
In order to find r you have to find the distance between C(-2, 1) and let's say A(-4, 1)

The formula for distance is:
\sqrt{ ( y_(A)-y_{C )^(2) + (x_(A)- x_(C )^(2) )
r = 2

The equation of circle is
(x+2)^2+(y-1)^2=4

I hope that this is the answer that you were looking for and it has helped you.

Divide 7/24 by 35/48 and reduce the quotient to the lowest fraction. A. 245/1152
B. 2/5
C. 4/10
D. 42/48

Answers

well first you have to flip one of the fractions, so for example 7/24 x 48/35 which should give you an answer of 336/840. If you simplify this down you should get 4/10. Another way of double-checking or simplifying is by dividing 336 by 840 (which should give you 0.4) and dividing 4 by 10 (which should also give you 0.4). Hope this helps!

Answer: well first you have to flip one of the fractions, so for example 7/24 x 48/35 which should give you an answer of 336/840. If you simplify this down you should get 4/10. Another way of double-checking or simplifying is by dividing 336 by 840 (which should give you 0.4) and dividing 4 by 10 (which should also give you 0.4). Hope this helps!

Step-by-step explanation:
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