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3 years ago

What is the domain and range of f(x)=2x^2+6x+2

Mathematics

1 answer:

lbvjy [14]3 years ago

3 0

As is the case for any polynomial, the domain of this one is (-infinity, +infinity).

To find the range, we need to determine the minimum value that f(x) can have. The coefficients here are a=2, b=6 and c = 2,

The x-coordinate of the vertex is x = -b/(2a), which here is x = -6/4 = -3/2.

Evaluate the function at x = 3/2 to find the y-coordinate of the vertex, which is also the smallest value the function can take on. That happens to be y = -5/2, so the range is [-5/2, infinity).

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find the column which has products that are the sum of the yellow shaded numbers in each row Shaded the column what pattern do y

BaLLatris [955]

Answer:

They are even numbers (divisible by two)

Step-by-step explanation:

The number column starts from 2 and is incremented by two for every number in the column. The remainder of the division of each number in the sequence is zero and the result of the division is sequence 1,2,3,4,5,6,7...

Therefore, the numbers in the column are even numbers.

6 0

3 years ago

The length of one side of a square is (x + 2 1/4). If the perimeter is 14 units, what is the area?

Stels [109]

The perimeter is the total of adding all of the side lengths together.

A square has 4 equal side lengths.

So the perimeter of a square is:

P = s + s + s + s or P = 4s

[P = perimeter s = side lengths of the square]

Since you know the side length of the square is (x + 2 1/4), you can replace s with (x + 2 1/4)

P = 4s

P = 4(x + 2 1/4) Multiply 4 into (x + 2 1/4)

P = 4x + 8 4/4

P = 4x + 9

Since you know the perimeter, you can plug it in.(you could have also plugged it in in the beginning)

P = 4x + 9

14 = 4x + 9 Subtract 9 on both sides

5 = 4x Divide 4 on both sides

5/4 = x

Now that you know x, find the side length of the square.

(x + 2 1/4)

(5/4 + 2 1/4)

2 6/4 = 3 2/4 = 3 1/2 units or 3.5 units

To find the area of a square, you multiply 2 of the sides together:

A = s · s

A = 3.5 · 3.5

A = 12.25 units²

7 0

3 years ago

ABC Insurance offers an annuity with 4.5% APR for the next 5 years. You decide to invest $1000 each year into this account. What

kipiarov [429]

Answer:

Ordinary annuity

Step-by-step explanation:

Given : ABC Insurance offers an annuity with 4.5% APR for the next 5 years. You decide to invest $1000 each year into this account.

To find : What type of annuity is this?

Solution :

Annuity is the form of insurance in which some of the money is paid each year to secure for future.

There are two types of annuity:

Ordinary annuity - In this annuity the payment is made at the end of each period over a fixed length of time. Also in this annuity payments are made monthly, quarterly, semi-annually or annually.

Annuity due - is the opposite of ordinary annuity as in this the payment is made at the beginning of each period.

In the given situation the annuity is ordinary annuity because the investment is done each year for 5 years.

7 0

3 years ago

Read 2 more answers

What is the value of x

pochemuha

This is the isosceles triangle. Therefore, the angles at the base are congruent.

We know that the sum of the measures of the angles in a triangle is 180°.

Therefore we have the equation:

$38^o+x^o+x^o=180^o$