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3 years ago

Given that F( x ) = x 2 + 2, evaluate F(1) + F(5).

Mathematics

2 answers:

oksian1 [2.3K]3 years ago

8 0

Answer:

Step-by-step explanation:

stealth61 [152]3 years ago

3 0

Hi there! :)

Answer:

$\huge\boxed{f(1) + f(5) = 30}$

Given:

$f(x) = x^{2} + 2$

Evaluate $f(1) + f(5)$

Solve for each:

$f(1) = (1)^{2} + 2 = 3$

$f(5) = (5)^{2} + 2 = 27$

$27 + 3 = 30$

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~khan academy 7th grade

pickupchik [31]

Question:

Which of the following expressions represents the distance between 1.7 and −1/2 on a number line?

Choose 1 answer:

$A.\ |1.7 - 1/2|$

$B.\ |1.7 -(-1/2)|$

C. None of the above

Answer:

$B.\ |1.7 -(-1/2)|$

Step-by-step explanation:

Given

Numbers: 1.7 and -1/2

Required

Determine the distance

To calculate the distance, we start by calculating the difference between the given numbers;

$Difference = 1.7 - (-1/2)$

Then, we calculate the distance;

<em>In this case, the distance is meant to be positive; So, we'll introduce the symbol for absolute value;</em>

Hence,

$Distance = |Difference|$

Substitute $1.7 - (-1/2)$ for Difference;

$Distance = |1.7 - (-1/2)|$

<em>Hence, the correct option is B</em>

4 0

3 years ago

Read 2 more answers

Solve for x: x^2 + 14x + 49

Kaylis [27]

Answer: -7twice

Step-by-step explanation:

This is a question on root of quadratic equation. The interpretation of the question

x² 14x + 49 is

x² + 14x + 49 = 0.meaning that we are to find two possible values for x that will make the expression equal 0.

We can use any of the methods earlier taught. For the purpose of this class, I am using factorization methods

x² + 14x + 49 = 0

Now, find the product of the first and the last terms, is

x² × 49 = 49×²

Now find two terms such that their productbis 49x² and their sum equals 14x, the one in the middle.

We have several factors of 49x² but only one will give sum of 14x. Because of the time, I will only go straight to the required factors .

49x² = 7x × 7x and the sum gives 14x the middle terms..

Now we now replace the middle one by the factors and then factorize by grouping.

x² + 14x + 49 = 0

x² + 7x + 7x + 49 = 0

x(x + 7) + 7(x + 7) = 0

(x + 7)(x + 7). = 0

Now to find this value of x,

x + 7 = 0

x. = -7twice.

The root of the equation = -7twice.

3 0

3 years ago

Use the quadratic formula to find the solutions to the quadratic equation below 2x^2-5x+5=0

Serggg [28]

Answer:

x = (5 + i sqrt(15))/4 or x = (5 - i sqrt(15))/4

Step-by-step explanation:

Solve for x:

2 x^2 - 5 x + 5 = 0

Hint: | Using the quadratic formula, solve for x.

x = (5 ± sqrt((-5)^2 - 4×2×5))/(2×2) = (5 ± sqrt(25 - 40))/4 = (5 ± sqrt(-15))/4:

x = (5 + sqrt(-15))/4 or x = (5 - sqrt(-15))/4

Hint: | Express sqrt(-15) in terms of i.

sqrt(-15) = sqrt(-1) sqrt(15) = i sqrt(15):

Answer: x = (5 + i sqrt(15))/4 or x = (5 - i sqrt(15))/4

5 0

3 years ago

Plss need help, question on pic below

horsena [70]

Answer:

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Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

How do i solve this equation

MakcuM [25]

For the first one, it would be 104-14+=x. I'm not sure about the second one, though. Sorry!

3 0

3 years ago