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3 years ago

Study the equation. x² + 6x = - 4

Mathematics

1 answer:

Zinaida [17]3 years ago

5 0

Answer:

x = -3+√5, -3-√5 (exact roots)

or x = -0.76, -5.24 to the nearest hundredth.

Step-by-step explanation:

x² + 6x = - 4

Completing the square:

(x + 3)^2 - 9 = -4

(x + 3)^2 = 5

x + 3 = +/-√5

x = - 3 + √5, - 3 - √5

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A piece of carpet is 8 feet wide and 12 feet long the carpet needs to be reduced by a scale farctor so that the reduced carpet i

Murljashka [212]

Answer: 6 ft ^ 2

Step-by-step explanation:

We have been given that a piece of carpet is 8 feet wide and 12 feet long. The carpet needs to be reduced by a scale factor so that the reduced carpet is 2 feet wide.

First of all, let us find the scale factor by which the width of the carpet has been reduced.

Original width of carpet x scale factor = 12

Dividing both sides by 8 feet we will get:

8 feet x Scale factor/8 ft = 2/8 ft

Scale Factor = 1/4

Let us find the length of carpet after reduced by a scale factor of 1/4.

Length of the carpet after reducing a factor of 1/4=12 ft x 1/4

Length of the carpet after reducing a factor of 1/4=3 ft.

Now we will multiply the reduced length and width of the carpet to find the area of reduced carpet.

Area of reduced carpet = 2 ft x 3 ft

Area of reduced carpet = 6 ft

Therefore, the area of reduced carpet is 6 square feet.

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3 years ago

A tip in a restaurant has been typically figured at 15% of the total bill.

Anastasy [175]

Answer:

4.5 dollars (before tax id assume)

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3 years ago

The sum of two rational numbers is -8. if one of the is -8/17, find the other. plz help me

Vesnalui [34]

<h2>Step-by-step explanation:</h2>

-5/7 + x = -1

(-5+7x)/7 = -1

-5 + 7x = -7

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please change the digit as per ur QUESTION

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2 years ago

Read 2 more answers

How many real number solutions are there to the equation 0=-3x^2 + x -4

natta225 [31]

We have that
the equation
y=-3x² + x -4
the real number solutions are the points x intercept of the graph
are the points when y=0

using a graph tool
see the attached figure

the graph has no point of intersection with the x axis
therefore

the answer is
there are zero real numbers solutions

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3 years ago

A recursive rule for an arithmetic sequence is a1 = −4; an = an−1 + 11

Ivenika [448]

It’s a for sure I really think it’s A i don’t know

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3 years ago