All categories

2 years ago

Rewrite the equation by completing the square 4x^2 +28x +49=0

Mathematics

1 answer:

Elodia [21]2 years ago

5 0

Answer: −3.5

Step-by-step explanation:

Standard form:

4x2 + 28x + 49 = 0

Factorization:

(2x + 7)2 = 0

Answer equation: 2x + 7 = 0 ⇒ x1 = x2 = −7 over 2 = −3.5

You might be interested in

Which of the ordered pairs is a solution to the system of inequalities? y > 5 y ≥ x (0, 0) (4, 5) (-5, 4) (-5, 6)

yKpoI14uk [10]

Plug the y value in for y and plug the x value in for x

> less than

> less than or equal to

Example:

(4,5)

y > 5y > x

5 > 5x5 > 4 = 5 > 25 > 4 = false

they all should be false

if one had to be correct, I would say (0, 0)

3 0

3 years ago

I need to know 3a through 3e please!

jonny [76]

You are seriously all it take is cross multiplying

6 0

3 years ago

A company sells boxes of duck calls (d) for $35 and boxes of turkey calls (t) for $45. they make batches of duck calls that fill

SIZIF [17.4K]

Answer:

Option A is the correct choice.

Step-by-step explanation:

Let d be the number of boxes of duck calls and t be the number of boxes of turkey calls.

We have been given that a company sells boxes of duck calls for $35 and boxes of turkey calls (t) for $45, so the revenue earned from selling d boxes of duck and t boxes of turkey call will be 35d and 45t respectively.

Further, the company plan to make $300. We can represent this information as:

$35d+45t=300...(1)$

We are also told that they make batches of duck calls that fill 6 boxes and batches of turkey calls that fill 8 boxes. the company only has 42 boxes. We can represent this information as:

$6d+8t=42...(2)$

$6d=42-8t...(2)$

Therefore, our desired system of equation will be:

$35d+45t=300...(1)$

$6d=42-8t...(2)$

8 0

3 years ago

From data gathered in the period 2008−2012, the yearly value of U.S. exports can be modeled by the function E(x) = −228x3 + 2,25

vredina [299]

Answer:

The total value the U.S. imported and exported is 19364 billion dollars

Step-by-step explanation:

* Lets explain how to solve the problem

- The yearly value of U.S. exports can be modeled by the function

E(x) = −228 x³ + 2,252.8 x² − 6,098.5 x + 11,425.8

# x is the number of years after 2008

# E(x) is the value of exports in billions of dollars

- The yearly value of U.S. imports can be modeled by the function

I(x) = −400.4 x³ + 3,954.4 x² − 11,128.8 x + 17,749.6

# x is the number of years after 2008

# I(x) is the value of imports in billions of dollars

* We need to calculate the total value the U.S. imported and

exported in 2012

∵ x is the number of years after 2008

∴ At 2012 x = 4 years

- Lets calculate the value of the exports in 2012

∴ E(x) = -228(4)³ + 2,252.8(4)² - 6,098.5(4) + 11,425.8

∴ E(x) = 8484.6 billion dollars

- Lets calculate the value of the imports in 2012

∴ I(x) = -400.4(4)³ + 3,954.4(4)² - 11,128.8(4) + 17,749.6

∴ I(x) = 10879.2 billion dollar

∵ The total value the U.S. imported and exported = E(x) + (I(x)

∴ The total value = 8484.6 + 10879.2 = 19363.8

∴ The total value = 19364 billion dollars

* The total value the U.S. imported and exported is 19364 billion dollars

7 0

3 years ago

Assume that REM sleep time is normally distributed for both children and adults. A random sample of n1 = 9 children (9 years old

Alinara [238K]

Answer:

actually it is

Step-by-step explanation:

i skipped the whole question except the last sentence's few words

6 0

3 years ago