All categories

3 years ago

The product of two consecutive even integers is 2208. What is their sum?

Mathematics

1 answer:

Katena32 [7]3 years ago

6 0

Answer:

±94

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Algebra I

Standard Form: ax² + bx + c = 0
Solving Quadratic Equations
Consecutive Integers

Step-by-step explanation:

Step 1: Define

x (1st consecutive term)

x + 2 (2nd consecutive term)

Step 2: Set up equation

x(x + 2) = 2208

Step 3: Solve for x

Distribute x: x² + 2x = 2208
Rewrite in Standard Form: x² + 2x - 2208 = 0
Factor quadratic: (x - 46)(x + 48) = 0
Find roots: x = -48, 46

Step 4: Identify Consecutive Integers

Possibility 1: x = -48

1st Consecutive Even Term: -48

2nd Consecutive Even Term: -48 + 2 = -46

Possibility 2: x = 46

1st Consecutive Even Term: 46

2nd Consecutive Even Term: 46 + 2 = 48

Step 5: Find sums

Possibility 1: x = -48

-48 + -46 = -94

Possibility 2: x = 46

46 + 48 = 94

You might be interested in

Find f. f ''(x) = −2 + 36x − 12x2, f(0) = 8, f '(0) = 18 f(x) =

Alik [6]

Integrate f ''(x) = −2 + 36x − 12x2 with respect to x:

f '(x) = -2x + (36/2)x^2 - (12/3)x^3 + c. Find c by letting x = 0 and using f(0)=8.

Then f '(0) = -2x + 18x^2 - 4x^3 + c = 18 (which was given).

Then -0 + 0 - 0 + c = 18, so c = 18 and

f '(x) = -2x + 18x^2 - 4x^3 + 18.

Go through the same integration process to find f(x).

8 0

3 years ago

1.What value goes in the blank to make this a proportion:

iragen [17]

1. 24
2. 56
3. 15
4. 60
Hopefully this helps!

4 0

3 years ago

Pls help!!! evaluate the function for x=m/4

EastWind [94]

Plug in m/4 into the equation:

$8 (\frac{m}{4})^{2} - 4(\frac{m}{4})$

Solve the parentheses in the equation:

$\frac{m}{4}^{2} = \frac{m}{4} \times \frac{m}{4} = \frac{m^{2}}{16}$
$8 \times \frac{m^{2}}{16} = \frac{8m^{2}}{16} = \frac{m^{2}}{2}$

$4 \times \frac{m}{4} = \frac{4m}{4} = m$

Your equation should now look like this:

$\frac{m^{2}}{2} - m$

The answer is D.

6 0

3 years ago

A number is equal to twice a smaller number plus 3. Yhe same number is equal to twice the sum of smaller number and 1. How many

allsm [11]

Answer:

There is no solution to the problem

Step-by-step explanation:

In order to find the solutions to the problem you can write the situation in an algebraic form.

You have that a number is equal to twice a smaller number plus 3. This can be written as follow:

$x=2y+3$ (1)

where x is the number and y is the smaller number

Furthermore, the same number x is equal to twice the sum of the smaller number and 1, which can be written as follow:

$x=2(y+1)$ (2)

To find the solution you equal the equation (1) with (2), and you solve for y:

$2y+3=2y+1$

$3=1$

You obtain an inconsistency, hence, the situation of the problem does not have solution

5 0

3 years ago

Julie has 21 colored pencils and 27 crayons. What is the ratio of crayons to colored pencils?

Andreas93 [3]

It is most likely looking for a simplified version of the answer

Based off that assumption it would be

9:7

3 0

3 years ago