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3 years ago

What is the solution set of 7 x2 + 3 x = 0? {0, 3/7} {0, -3/7} {0, -4/7}

Mathematics

1 answer:

kari74 [83]3 years ago

4 0

Answer:

${ \tt{7 {x}^{2} + 3x = 0 }} \\ { \tt{x(7x + 3) = 0}}$

Either x = 0 or ( 7x + 3 ) = 0 :

${ \tt{7x + 3 = 0}} \\ { \tt{x = - \frac{3}{7} }}$

Answer:

${ \bf{(0, \: - \frac{3}{7}) }}$

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3 years ago

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The width of a deck is 5 feet shorter than its length. The equation that represents this situation is y = x – 5. What does x rep

ollegr [7]

X represents the length of a deck. There are three parts to this equations. The 1. width, 2. the length, and 3. the 5 feet shorter. Using the key words, y = the width of a deck (uses the term is which means =) So that takes the width part out of the equation. Then, 5 feet shorter means -5 than a number. That takes away the 5 feet shorter part of the equation. That leaves x to equal the length of the deck.

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3 years ago

Jackson ran 5/7 of the distance around the school track Sarah around 4/5 of Jackson's distance what fraction of the total distan

Ilia_Sergeevich [38]

Answer:

2/3 of the track

Step-by-step explanation:

5/7 • 4/5 is 2/3 so Sarah ran 2/3 around the track.

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3 years ago

A rectangular plot of land is to be enclosed by a fence. One side is along a river, and does not need to be enclosed. If the tot

Bad White [126]

Answer:

Width 150 meters.

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Step-by-step explanation:

Let us assume the width of the fence = k meters

So, both sides = k + k = 2k meters

Also, the TOTAL fencing length = 600 m

So, the one side length of the fence = (600 - 2 k) meters

AREA = LENGTH x WIDTH

⇒ A(k) = (600 - 2k) (k)

or, A = -2k² + 600 k

The above equation is of the form: ax² +bx + C

Here: a = - 2 , b = 600 and C = 0

As a< 0, the parabola opens DOWNWARDS.

Here, x value is given as: $x = \frac{-b}{2a}$

Solving for the value of k similarly, we get:

$k = \frac{-b}{2a} = \frac{600}{2(-2)} = 150$

Thus the desired width = k = 150 meters

So, the desired dimensions of the plot is width 150 meters.

And length = 650 - 2k = 650 - 300 = 350 meters.

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3 years ago

Solve the equation by the Quadratic Formula. Round to the nearest tenth, if necessary. Write your solutions from least to greate

Marat540 [252]

I hope the choices for the numerators of the solutions are given.

I am showing the complete work to find the solutions of this equation , it will help you to find an answer of your question based on this solution.

The standard form of a quadratic equation is :

ax² + bx + c = 0

And the quadratic formula is:

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

So, first step is to compare the given equation with the above equation to get the value of a, b and c.

So, a = 10, b = -19 and c = 6.

Next step is to plug in these values in the above formula. Therefore,

So,

Hope this helps you!

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2 years ago