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Leno4ka [110]
2 years ago
7

2 (0815010)

Mathematics
1 answer:
Yuliya22 [10]2 years ago
7 0

Answer:

10

Step-by-step explanation:

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galben [10]

Answer:

  if one equation has no real roots, the other must have real roots. Hence, at least one equation has real roots.

Step-by-step explanation:

The discriminant of the first equation is ...

  d1 = b^2 -4ac

The discriminant of the second equation is ...

  d2 = b^2 +4ac

__

Suppose the first equation has no real roots. Then ...

  d1 < 0

  b^2 -4ac < 0

  b^2 < 4ac

We know that b^2 is non-negative, so this means 4ac is positive. For that case,

  d2 = b^2 +4ac

is the sum of a positive number and a non-negative number so will be positive. When the discriminant is positive, there are two real roots.

When the first equation has no real roots, the second one must have two real roots.

__

Suppose the second equation has no real roots. Then ...

  d2 < 0

  b^2 +4ac < 0

  b^2 < -4ac

Again, b^2 is non-negative, so -4ac must be positive. For this case, the sum ...

  d1 = b^2 -4ac

is the sum of a non-negative and a positive number, so will be positive. The positive discriminant means there are two real roots.

When the second equation has no real roots, the first one must have two real roots.

One of these equations will have real roots, or not. If not, the other must have (distinct) real roots.

7 0
2 years ago
Solve congruent figures ​
Nastasia [14]

Answer:

x=16

Step-by-step explanation:

x+15=6x-65

x+80=6x

   80=5x

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8 0
3 years ago
A survey was done that asked people to indicate whether they preferred running outdoors or running indoors. The results of the s
Len [333]
The first one, my friend.
6 0
3 years ago
True or false: The graph of y=3x2-3 opens up.
Nady [450]

Answer: True: The graph of y=3x²-3 opens up

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex: (0,−3)(0,-3)

Focus: (0,−35/12)

Axis of Symmetry: x=0

Directrix: y=−37/12

X={-2, -1, 0, 1, 2}

Y={9, 0, -3, 0, 9

Step-by-step explanation:

5 0
2 years ago
Determine the zeros of the function f(x) = 332 – 7x + 1.
stepan [7]

Answer:

Easiest and fastest way is to graph the equation in a graphing calc and determine where it crosses the x-axis.

Step-by-step explanation:

8 0
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