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ivanzaharov [21]
4 years ago
8

Explain why the quadratic relation y=2x^2+3x+5 would have no zeros

Mathematics
1 answer:
alex41 [277]4 years ago
5 0

Complete the square to rewrite the quadratic:

2 <em>x</em>² + 3 <em>x</em> + 5 = 2 (<em>x</em>² + 3/2 <em>x</em>) + 5

... = 2 (<em>x</em>² + 3/2 <em>x</em> + 9/16 - 9/16) + 5

... = 2 (<em>x</em>² + 3/2 <em>x</em> + (3/4)²) + 5 - 9/8

... = 2 (<em>x</em> + 3/4)² + 31/8

Any real number squared becomes non-negative, so the quadratic expression has a minimum value of 31/8, which is greater than 0, and so there are no (real) <em>x</em> for which <em>y</em> = 0.

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The answer is d   9,891


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3 years ago
The congruent sides of an isosceles triangle are each 1 unit longer than the length of the shortest side of the triangle. The pe
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Answer:

10 units

Step-by-step explanation:

Let the shortest side be x

Now since we are given that The congruent sides of an isosceles triangle are each 1 unit longer than the length of the shortest side of the triangle.

So, the length of the congruent sides (each) = x+1

Thus the perimeter of triangle = sum of all sides

                                                = x+x+1+x+1

                                                =3x+2

Now we are given that  The perimeter of the triangle is the same as the perimeter of a square whose side length is 2 units shorter than the length of the shortest side of the triangle.

Side of square = x-2

So, perimeter of square = 4*side

                                        =4(x-2)

                                        =4x-8

Now since the perimeter of the triangle and square are equal

So,3x+2=4x-8

10=x

Hence the shortest side of the triangle is 10 units.

5 0
4 years ago
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sergiy2304 [10]

Ans: D

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8 0
2 years ago
If a crew of 4 workers complete the job in 10 hours, how long will it take 5 workers to complete the same job?
Elanso [62]

Answer:

It will take 8 hours for the 5 workers to complete the same job.

Step-by-step explanation:

The amount of work done is the same for both crews.

Work = time * workers

Work = 10 * 4      


Work = time * 5


Set the two equal

10 * 4 = time * 5

Divide each side of the equation by 5

10*4/5 = time *5/5

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8 0
3 years ago
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I need help <br><br> Evaluate functions from their graph
andreev551 [17]

Answer:

g(7)=4

Step-by-step explanation:

We look for where x=7. The way you find the answer is first, find the point (0, 7). Draw a line straight up and down, and see where that line intersects the function. Those intersection points are your answer(there will always be only 1 for a function, but if a graph isn't a function, there might be more than 1).

Using this method here, we see that g(7) intersects our line at (7, 4), so g(7)=4.

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3 years ago
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