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sergeinik [125]
3 years ago
8

The square of the sum of two consecutive positive even integers is 4048 more than the sum of the squares of these two numbers. F

ind the two numbers.

Mathematics
1 answer:
Burka [1]3 years ago
4 0

Answer:

The numbers are 44 and 46

Step-by-step explanation:

Let

x, x+2 ----> the two consecutive positive even integers

we know that

(x+x+2)^{2} =4,048+x^{2} +(x+2)^{2} \\ \\(2x+2)^{2} =4,048+x^{2} +x^{2}+4x+4\\ \\4x^{2}+8x+4=2x^{2}+4x+4,052\\ \\2x^{2} +4x-4,048=0

Solve the quadratic equation using a graphing calculator

The solution is x=44

see the attached figure

x+2=44+2=46

therefore

The numbers are 44 and 46

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Answer:

x > 1

Step-by-step explanation:

Subtract 3 from both sides

8x + 3 - 3 > x + 10 - 3

Simplify

8x > x + 7

Subtract x from both sides

8x - x > x + 7 - x

Simplify

7x - 7

Divide both sides by 7

7x/7 > 7/7

Simplify

x > 1

5 0
3 years ago
The following statements is are true regarding the figure above​
Andreyy89

Answer:

a and b

Step-by-step explanation:

it is a point and a point is a zero demensional object.

7 0
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PLEASE I REALLY NEED HELP!
vagabundo [1.1K]

Answer:

\frac{3}{28}

Step-by-step explanation:

Probability (P) is calculated as

P = \frac{requiredoutcome}{count}

The first required outcome is a red sweet from a total of 3 + 5 = 8

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6 0
3 years ago
Nancy had 333 dollars to spend on 9 books. After buying them she had 18 dollars. How much did each book cost ?
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Answer:

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Geraldine is asked to explain the limits on the range of an exponential equation using the function f(x) = 2^x. She makes these
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<u>General Idea:</u>

Domain is the values of x which gives a defined output to the function, and Range is the values of y that we get by substituting domain values of x. For the function f(x) = a^x, where a > 0, the domain will be all real numbers and range will be all values greater than 0. That is the graph will be very close to x-axis but will never touch it.

<u>Applying the concept:</u>

From the attached table, we can notice that as x increases infinitely, the y-values are continually doubled for each single increase in x and as x decreases infinitely, the y-values are continually halved for each single decrease in x.

Option 1: "Statement 1 is incorrect because the y-values are increased by 2, not doubled".

Option 1 is INCORRECT because Statement 1 is TRUE & CORRECT.

Option 2: "Statement 2 is incorrect because the y-values are doubled, not halved".

Option 2 is INCORRECT because Statement 2 is TRUE & CORRECT.

Option 3: "The conclusion is incorrect because the range is limited to the set of the integers"

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8 0
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