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bekas [8.4K]
3 years ago
13

Rewrite the equation by completing the square. 4x2 + 28x + 49 = 0 (x+) =

Mathematics
1 answer:
Vlada [557]3 years ago
4 0

Answer: x = - 3.5

Step-by-step explanation:

Rewrite the equation by completing the square.

4x2 + 28x + 49 = 0

Completing the square method :

Divide through by the Coefficient of x^2

x^2 + 7x + (49/4) = 0

a = 1, b = 7, c = 49/4

Move c to the right side of the equation

x^2 + 7x = - 49/4

Complete the square on the left hand side by squaring its half of the x term

(7/2)^2 = (49/4)

Add the output to both sides of the equation

x^2 + 7x + (49/4) = - (49/4) + (49/4)

(x + 7/2)^2 = 0

Square root of both sides

x + 7/2 = 0

x = - 7/2

x = - 3.5

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A cleaning company charges x dollars per hour to clean floors and y dollars per hour to clean the rest of the house
Nina [5.8K]

Answer:

(15,18)

Step-by-step explanation:

write two equations with the information provided.

2x + 3y = 84

x + 4y = 87

use the property of substitution to answer.

x + 4y = 87,   x = 87 - 4y

2(87 - 4y) + 3y = 84

174 - 8y + 3y = 84

174 - 84 = 8y - 3y

90 = 5y

90/5 = y

y = 18

Add the value of Y to an original equation. Solve for X

2x + 3(18) = 84

2x + 54 = 84

2x = 84 - 54

2x = 30

x = 30/2

x = 15

8 0
3 years ago
What is 5/10 = x/100
Monica [59]

Answer:

= 50

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
The price of a stock decreased by 60 cents one week, decreased 10 cents the next week, and decreased another 20 cents the follow
mel-nik [20]

Hi there! Hopefully this helps!

----------------------------------------------------------------------------------------------------------

It <u>decreased by 30 cents</u> per week.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The average <em>rate of change</em> is calculated as:

the <u>ratio of the sum of the change</u> in the three weeks <u>divided by</u> <u>the number of weeks. (</u>The <em>number of weeks</em> being <u>3</u>)

 <em>Rate of change</em> = \frac{-60 -10 -20}{3}.

(-60 + -10 + -20 = -90). So, to <em>simplify</em> it:

\frac{-90}{3} = <u><em>-30</em></u>

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Incase you are confused:

Since the average <u>rate of change</u> is <em>negative</em>, this means that the <u>stock price</u> has <em>decreased</em>.

3 0
3 years ago
Which explanation correctly tells whether these ratios are equivalent and why?
Reptile [31]
<h3><u>Answer:</u></h3>

<u>Option A (Yes because 3 x 2 = 6 and 14 x 2 = 28.) is correct.</u>

<h3><u>Step-by-step explanation:</u></h3>

<u>This is because if we simplify 3/6 and 14/28, both of them will get 1/2. This means that only A and C are possible.</u>

  • => Option A is correct because 3 x 2 does equal 6 and 14 x 2 does equal 28.
  • => Option C is incorrect because 3 x 5 does not equal 14 and 6 x 5 does not equal 28.

Hoped this helped.

BrainiacUser1357

6 0
2 years ago
Whats 38240 divided by 4
inn [45]

Answer:

9560

Step-by-step explanation:

Use a calculator or do long division.

You can also divide by 2 twice.

38240/2 = 19120

19120/2 = 9560

Answer: 9560

4 0
2 years ago
Read 2 more answers
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