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3 years ago

Find the number of solutions of the equation 6x^2+6x+3=0 by using the discriminant

Mathematics

1 answer:

Neporo4naja [7]3 years ago

4 0

Answer:

No real roots

Step-by-step explanation:

Given

$6x^2 + 6x + 3 = 0$

Required

The number of solution

The discriminant (d) for $ax^2 + bx + c = 0$ is:

$d = b^2 - 4ac$

So, we have:

$d = 6^2 - 4*6*3$

$d = 36 - 72$

$d = -36$

Since $d$ , then the equation has no real roots

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Maya is taking her friends to a concert. Each ticket costs $25, and souvenir T-shirts are $12 each. There is a $4 service fee fo

evablogger [386]

Answer:

$25x+12y+4 \leq 130$

Step-by-step explanation:

Here, x represents the number of tickets and y represents the number of T-shirts.

As per the statement:

Each ticket costs $25, and souvenir T-shirts are $12 each

⇒Total cost of ticket = 25x and Total cost for T-shirt = 12y

It is also given that there is a $4 service fee for the entire purchase.

$25x+12y+4$

Since, she has $130

⇒ $25x+12y+4 \leq 130$

Therefore, an inequality could you use to answer the problem is, $25x+12y+4 \leq 130$

8 0

3 years ago

Be sure to show your work and solve for k : ( 264 + 3 x 7 ) divided by 3= k

Paul [167]

Hi there!

$\large\boxed{k = 95}$

Use PEMDAS:

Evaluate inside of parenthesis:

(264 + 3 × 7)

Multiply:

(264 + 21)

Add:

285

Divide by 3:

285 ÷ 3 = 95

5 0

3 years ago

Read 2 more answers

The cylinder’s diameter and height are both 39.2 millimeters. What is the surface area of this cylinder?

Dominik [7]

Answer:

A = 7,241.2454026112 square mm.

or exact : A = 2,304.96‬*π sq mm

Step-by-step explanation:

Cylinder formula: A = π* r^2 + 2 *π * r* h + π*r^2

is the surface area.

d = 2r = 39.2 mm

h = 39.2 mm

r = 19.6 mm

A = π* r^2 + 2 *π * r* h + π*r^2

A = 2* π* (19.6)^2 + 2π (19.6)*(39.2)

A = 2,413.748467537 + 4,827.496935

A = 7,241.2454026112 square mm.

A = 2*pi* (768.32‬ + 384.16)

A = 2*1,152.48‬* pi

A = 2,304.96‬*π sq mm

8 0

3 years ago

Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to two decimal places

Montano1993 [528]

The solution of the given equation is :

cosθ = 1/2 when θ = π/3 + 2kπ or 5π/3 + 2kπ

cosθ = -1 when θ = π + 2kπ

Since cos2θ + sin2θ = 1, sin2θ = 1 - cos2θ

So, the given equation is equivalent to 2(1 - cos2θ) - cosθ = 1

-2cos2θ - cosθ + 1 = 0

2cos2θ + cosθ - 1 = 0 (multiplying the entire equation by -1)

(2cosθ - 1)(cosθ + 1) = 0 (taking common)

cosθ = 1/2 or cosθ = -1 (on equating it to zero)

cosθ = 1/2 when θ = π/3 + 2kπ or 5π/3 + 2kπ

cosθ = -1 when θ = π + 2kπ

For more information about trigonometric ratios, visit

brainly.com/question/24496175

3 0

2 years ago

HELP RIGHT AWAY IF YOU SEE

fenix001 [56]

Answer:

I would say A

Step-by-step explanation:

7 0

3 years ago