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SSSSS [86.1K]
3 years ago
15

Using the discriminant, determine the number of real solutions.

Mathematics
1 answer:
uranmaximum [27]3 years ago
6 0

Answer:

  C.  two real solutions

Step-by-step explanation:

Your quadratic matches the form ...

  ax^2 +bx +c = 0

for the values a=2, b=7, c=-15.

The discriminant is ...

  d = b^2 -4ac

For your values of a, b, c, the discriminant value is ...

  d = 7^2 -4(2)(-15) = 169

The discriminant is positive, indicating there are two real solutions.

_____

When the discriminant is negative, there are no real solutions, only complex solutions.

When the discriminant is zero, there is one real solution.

__

This equation factors as (2x-3)(x+5) = 0 and has solutions x=3/2, x=-5.

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Question 10 multiple choice
vekshin1

Answer: Choice B

(x-1)(x^3+x^2+5x+6)

==========================================

Explanation:

The 1 in the upper left box means that x = 1 is a root of the original polynomial.

So this means x-1 is a factor of the original polynomial.

This is because x = 1 leads to x-1 = 0 after subtracting 1 from both sides.

-----------------

The 0 in the last position of the bottom row shows we got a remainder of 0.

Getting a remainder 0 tells us that (x-1) is a factor of the polynomial. This synthetic division table confirms our initial guess.

The other values in that bottom row (1, 1, 5, 6) form coefficients to the polynomial 1x^3+1x^2+5x+6, or simply x^3+x^2+5x+6

-------------------

So we know that (x-1) and (x^3+x^2+5x+6) are factors

Meaning that,

x^4+4x^2+x-6 = (x-1)(x^3+x^2+5x+6)

You can confirm this by expanding out the right hand side (distribution rule).

3 0
3 years ago
What is the area of the figure below?<br><br> A. 31.5 m<br> B. 63 m<br> C. 84 m<br> D. 126 m
lapo4ka [179]
Hi! For the area of a parallelogram, we just need to multiply the base and the height. It may sound simple but the tricky part in this problem is determining which one is the height.

For a parallelogram, the height is defined as the measurement PERPENDICULAR to the base. Therefore, for this problem, we need to multiply 14 and 4.5 instead of 14 and 6.

14*4.5=63

ANSWER: B. 63 square meters.
6 0
3 years ago
Read 2 more answers
Mr. Mills is 5 feet and 11 inches tall. How many inches tall is he?
MrRa [10]

Answer:

71

Step-by-step explanation:

There are 12 inches in a foot:

12 inches x 5 feet = 60

60 + 11 inches = 71 inches total

3 0
3 years ago
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Pls answer this correctly
Bingel [31]

Answer:

4 balloon would expect to be orange

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3 years ago
Evaluate.
ohaa [14]

Step-by-step explanation:

\frac{9.2 \times  {10}^{ - 8} }{2.3 \times  {10}^{3} }  \\  = 4.0 \times  {10}^{ - 11}

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3 years ago
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