Original price: $105; markdown:75

Find the discriminant, describe the types of roots, and find the solution for 3x^2-24x+12

solniwko [45]

The discriminant of a polynomial is given by:
b ^ 2-4ac
Substituting the values we have:
(-24) ^ 2-4 * (3) * (12) = 432
Since the discriminator is greater than zero, then the roots are real.
x = (- b +/- root (b ^ 2-4ac)) / (2a)
Substituting the values:
x = (- (- 24) +/- root (432) / (2 * (3))
x = (- (- 24) +/- root (432) / (2 * (3))
x = (- (- 24) +/- root (144 * 3) / (2 * (3))
x = (24 +/- 12raiz (3) / (6)
x = 4 +/- 2raiz (3)
The roots are:
x1 = 4 + 2raiz (3)
x2 = 4 - 2raiz (3)
Answer:
432
the roots are real.
x1 = 4 + 2raiz (3)
x2 = 4 - 2raiz (3)

4 0

3 years ago

At a hot dog stand they serve regular hot dogs and footling hot dogs at a ratio of 5 to 3. Based on this ratio how many footlong

natta225 [31]

Answer:
45
Step-by-step explanation:
Ratio is 5:3
So total ratio "parts" is 5 + 3 = 8
In total there are 120 dogs served, so each part is:
120/8 = 15 dogs
Since, footlong hot dogs are "3" parts, and each part is 15 dogs, there will be:

3 * 15 = 45 footlong hotdogs

3 0

3 years ago

⚠️HURRYPLEASE⚠️what procedure can be

KIM [24]

Answer:

multiplication

Step-by-step explanation:

540=a/11

you multiply by the reciprocal which would be 11/1

that then gives you 5940=a

4 0

3 years ago

Read 2 more answers

What is the value of a for the following circle in general form? x2 + y² + ax + by+c=0

motikmotik

Answer:

Step-by-step explanation:

x2+y2+ax+by+c=0

Step 1: Add -by to both sides.

ax+by+x2+y2+c+−by=0+−by

ax+x2+y2+c=−by

Step 2: Add -x^2 to both sides.

ax+x2+y2+c+−x2=−by+−x2

ax+y2+c=−bax+y2+c+−y2=−by−x2+−y2

ax+c=−by−x2−y2

Step 4: Add -c to both sides.

ax+c+−c=−by−x2−y2+−c

ax=−by−x2−y2−c

Step 5: Divide both sides by x.

ax

x

=

−by−x2−y2−c

x

a=

−by−x2−y2−c

x

y−x2

6 0

3 years ago

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If Gabe's Soccer Ball Company is able, due to competitive pressure, to charge $60 for a new soccer ball, while one soccer ball c

Brums [2.3K]

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Selling price= $60

Unitary variable cost= $28

Fixed costs= $15,000

First, we need to calculate the average total cost:

Average cost= total cost / number of units

For example, for 1 unit and 10,000 units:

1 unit:

Average cost= 15,028/1 = 15,028

10,000 units:

Average cost= (15,000 + 28*10,000) / 10,000

Average cost= $29.5

Now, we can calculate the break-even point in units:

0= (60*x) - (28*x) - 15,000

x= number of units to break-even

0= 32x - 15,000

15,000/32= x

468.75=x

break-even point in units= 469

For the desired profit of $10,000:

10,000 = (60*x) - (28*x) - 15,000

25,000= 32x

781.25= x

Break-even point= 782 units

Finally, fixed costs dropped by $8,000:

0= 32x - 7,000

x= 7,000/32

x= 218.75

Break-even point= 219

Difference= 250 units

5 0

3 years ago