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Montano1993 [528]
3 years ago
7

What is the discriminant of 3x2 + 6x = 2?

Mathematics
1 answer:
Softa [21]3 years ago
5 0

Answer:

Discriminant is 60

Step-by-step explanation:

the discriminant of 3x^2 + 6x = 2

To find discriminant , first we write the equation in the form of

ax^2+bx+c=0

3x^2 + 6x = 2

Subtract 2 on both sides

3x^2 + 6x-2=0

a=3, b=6, c=-2

Formula for discriminant is b^2-4ac

Plug in the values

b^2-4ac=(6)^2-4(3)(-2)=60

Discriminant is 60

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A florist must make 5 identical
Sonbull [250]

Answer:

A. 40x + 10y + 10z = $160

B. 8 Roses, 2 lilies and 2 irises

C.

1. 20x + 5y + 5z = $80

2. 4x + y + z = $16

3. 8x + 2y + 2z = $32

Step-by-step explanation:

Cost for each flower = $160/5 = $32

So we have $32 for each bouquet consisting of 12 flowers each.

Roses = x = $2.50 each

lilies = y = $4 each

irises = z = $2 each

8x + 2y + 2z = $32

8($2.50) + 2($4) + 2($2) = $32

$20 + $8 + $4 = $32

$32 = $32

a. Maximum budget is $160

40x + 10y + 10z = $160

40($2.50) + 10($4) + 10($2) = $160

$100 + $40 + $20 = $160

$160 = $160

b. From above

8x + 2y + 2z = $32

8 Roses, 2 lilies and 2 irises

c. No. There are other solutions If total cost is not limited

1. 20x + 5y + 5z

20($2.50) + 5($4) + 5($2)

$50 + $20 + $10

= $80

2. 4x + y + z

4($2.50) + $4 + $2

$10 + $4 + $2

= $16

3. 8x + 2y + 2z

8($2.50) + 2($4) + 2($2)

$20 + $8 + $4

= $32

7 0
2 years ago
What is 3 examples of a rate?
atroni [7]

Answer:

Step-by-step explanation: For example, if a 12 ounce can of corn costs 55 cents the rate is 55 cents for 12 ounces. The first term in ratio is measured in cents the second term in ounces

5 0
2 years ago
9(d − 93) = –36 d = _______
goldenfox [79]

Steps to solve:

9(d - 93) = -36d

~Distribute

9d - 837 = -36d

~Subtract 9d to both sides

-837 = -45d

~Divide -45 to both sides

18.6 = d

Best of Luck!

4 0
3 years ago
Nishi practiced violin for 3 1/2 hours in a 5-day period. How many minutes
Kitty [74]

Answer:

.7 min per day

Step-by-step explanation:

3.5 ÷5=0.7

0.7×5=3.5 or 3 1/2

6 0
3 years ago
Find the Area of the figure below, composed of a rectangle and a semicircle. Round to the nearest tenth place.
kap26 [50]

Answer: 68.1

Step-by-step explanation:

The area of a semi-circle is 1/2 the area of a full circle. The area of a full circle is pi*r^2. Therefore, the area of a semi-circle is:

Area=\pi r^2/2

Area=\pi (3)^2/2=9\pi /2

The area of a rectangle is the length multiplied by the width:

Area=l*w

Area=6*9=54

The net area is the sum of the rectangle and the semi-circle:

Area=(9\pi /2)+(54)=68.1

8 0
2 years ago
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