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Talja [164]
3 years ago
14

One of the x-intercepts of the parabola represented by the equation y = 3x^2 + 6x − 10 is approximately (1.08, 0).

Mathematics
2 answers:
bagirrra123 [75]3 years ago
5 0

Answer:

(-3.08,0).

Step-by-step explanation:

We have been given that one of the x-intercepts of the parabola y=3x^2+6x-10 is approximately (1.08, 0). We are asked to find the another x-intercept of parabola.

We will use quadratic formula to solve our given problem.

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

Upon substituting our given values in above formula we will get,

x=\frac{-6\pm \sqrt{6^2-4*3*-10}}{2*3}

x=\frac{-6\pm \sqrt{36+120}}{6}  

x=\frac{-6\pm \sqrt{156}}{6}    

x=\frac{-6+\sqrt{156}}{6}\text{ or }x=\frac{-6-\sqrt{156}}{6}

x=-1+2.081665999466\text{ or }x=-1-2.081665999466

x=1.081665999466\text{ or }x=-3.081665999466

x\approx 1.08\text{ or }x\approx -3.08

Therefore, the other x-intercept of the parabola is approximately (-3.08,0).

Igoryamba3 years ago
4 0
3x^2 + 6x - 10 = 0

x  = [-6 +/- sqrt(^2 - 3*3*-10)] / 2*3

=  1.08 and -3.08

Other x -intercept is (-3.08,0)
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3 years ago
Find the radius of the circle with equation x²+y²+8x+8y+28=0
galina1969 [7]
<h2>Hello!</h2>

The answer is:

Center: (-4,-4)

Radius: 2 units.

<h2>Why?</h2>

To solve the problem, using the given formula of a circle, we need to find its standard equation form which is equal to:

(x-h)^{2}+(y-k)^{2}=r^{2}

Where:

"h" and "k" are the coordinates of the center of the circle and "r" is its radius.

So, we need to complete the square for both variable "x" and "y".

The given equation is:

x^{2}+y^{2}+8x+8y+28=0

So, solving we have:

x^{2}+y^{2}+8x+8y=-28

(x^2+8x+(\frac{8}{2})^{2})+(y^2+8y+(\frac{8}{2})^{2})=-28+((\frac{8}{2})^{2})++(\frac{8}{2})^{2})\\\\(x^2+8x+16 )+(y^2+8y+16)=-28+16+16\\\\(x^2+4)+(y^2+4)=4

(x^2-(-4))+(y^2-(-4))=4

Now, we have that:

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So,

Center: (-4,-4)

Radius: 2 units.

Have a nice day!

Note: I have attached a picture for better understanding.

3 0
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Step-by-step explanation:

When a group of 40 friends goes to the movies at a multiplex, 1/5 of the group decides to watch a science friction movie. This means that the total sum of the members of the group that decided to watch the science fiction movie and the members that did not watch the science fiction movie is 40.

If 1/5 of the group decides to watch a science friction movie, that means that 1/5 of 40 watched the science fiction movie. It becomes

1/5 × 40/= 40/5 = 8

8 members of the science group decided to watch the science fiction movie.

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Hi there! The unit rate per carton is $4.

To find our answer we must divide the total cost by the total cartons bought.
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8 0
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Step-by-step explanation:

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