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KengaRu [80]
3 years ago
9

Use the discriminant to describe the roots of each equation. Then select the best description. 2m2 + 3 = m double root real and

rational roots real and irrational roots non-real roots
Mathematics
2 answers:
Jlenok [28]3 years ago
8 0

Answer:

The roots of the equation 2m²+3=m are non-real roots.

Step-by-step explanation:

Given equation:

2m²+3=m

2m²-m+3=0

Here, from the equation we can obtain the following values:

a = 2, b = -1, c = 3

Discriminant of an equation is given as:

D = b²-4ac

= (-1)²-4(2)(3)

= 1 - 21

= -20

Discriminant can tell what kinds of roots the equation have.

In our case, the discriminant is less than 0.

When D < 0, the roots of the equation are complex conjugates.(non-real)

Lady bird [3.3K]3 years ago
6 0

Answer:

Imaginary root

Step-by-step explanation:

-1^2-4(2*3)

1-4*6

1-24

-23

-23 has no square root or it will be a decimal.

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The rectangular rug in Marcia's living room measures 12 feet by 109 inches. What is the rug's area in square feet?
Marrrta [24]

Answer:

109 square feet.

Step-by-step explanation:

109 in: = 109/12 = 9.0833333.... = 9 5/60 = (540+5)/60 = 545/60

Area = L*w

L = 545/60 feet

W = 12 feet

Area = 545/60 *  12

Area = 545*12/60

Area = 545 /5 = 109 square feet.  

3 0
3 years ago
You deposit $800 in an account. The account earns $360 simple interest in 3 years. What is the annual interest rate?
Maru [420]

Answer:

15%

Step-by-step explanation:

We have the followign simple interest formula

FV (aka AV)=PV(1+it)

which means that we have

(800+360)=800(1+3i)

1.45=1+3i

.45=3i

.15=i

15%

4 0
3 years ago
What value of s makes the following equation true?<br><br> s3 = −343
vovikov84 [41]
-144.33333 or -14 1/3
3 0
2 years ago
Read 2 more answers
f(x) = x4 - 50x2 + 3 (a) Find the intervals on which f is increasing. (Enter the interval that contains smaller numbers first.)
shtirl [24]

Answer:

  (-5, 0) ∪ (5, ∞)

Step-by-step explanation:

I find a graph convenient for this purpose. (See below)

__

When you want to find where a function is increasing or decreasing, you want to look at the sign of the derivative. Here, the derivative is ...

  f'(x) = 4x^3 -100x = 4x(x^2 -25) = 4x(x +5)(x -5)

This has zeros at x=-5, x=0, and x=5. The sign of the derivative will be positive when 0 or 2 factors have negative signs. The signs change at the zeros. So, the intervals of f' having a positive sign are (-5, 0) and (5, ∞).

5 0
3 years ago
Which line has a constant of proportionality between y and x of 1/2
Pepsi [2]

Answer:

Line c

Step-by-step explanation:

y=\frac{x}{2}

5 0
2 years ago
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