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miss Akunina [59]
3 years ago
7

Pls help Will mark you brainliest :)

Mathematics
1 answer:
jeyben [28]3 years ago
7 0

Answer:10

Step-by-step explanation:

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Alja [10]

Answer:

16 sweaters are in your closet

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What is the discriminant: 2x^2 + 3x + 10=0
ohaa [14]
The discriminant of a quadratic equation is:

b^2-4ac

Plug in the values. 

3^2-4(2)(10)

=9-80

=-71 

Since the discriminant is negative, you can tell that the quadratic has no real solutions. 

Hope that helped!

~Cam943, Moderator
6 0
3 years ago
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What is the solution of the following system?
yuradex [85]

Given system:

-2x-y=1 ....................(1)

-4x-2y=-1 ..................(2)

2*(1) -(2)

-4x-2y +4x+2y = 2-(-1)

0=3   => there is no solution because the two lines (equations) are parallel and distinct (never meet), so no solution.

4 0
3 years ago
Are the two expressions equivalent when x = 20? <br><br> 8(12x + 4) <br><br> 96x + 32
Iteru [2.4K]
Yes
<span>8(12x + 4) = 8[12(20) + 4 ] = 1952

</span>96x + 32 = 96 (20) + 32 = 1952
7 0
3 years ago
A plane can fly 540 miles with the wind in one hour less than it can fly 480 miles against the wind. The average wind speed is 3
Bess [88]

Answer:

The speed of the plane in still air = 150 mph

Step-by-step explanation:

This is a relative velocity question

Let the velocity of the plane in still air be v

And let the time the plane can fly 480 miles against the wind be t

(Velocity of the plane relative to the wind) = (velocity of plane) - (velocity of wind)

Flying against the wind

(Velocity of plane relative to the wind) = (480/t)

(Velocity of the plane) = v

(Velocity of the wind) = 30 mph

(480/t) = v - 30

t = 480/(v-30) (eqn 1)

Flying with the wind

(Velocity of plane relative to the wind) = 540/(t-1)

(Velocity of the plane) = v

(Velocity of the wind) = -30 mph

540/(t - 1) = v + 30

t - 1 = 540/(v+30) (eqn 2)

Since t is equal in both cases, substitute the value of t in eqn 1 into eqn 2.

[480/(v-30)] - 1 = [540/(v+30)]

Multiply through by (v+30)(v-30)

480(v+30) - [(v+30)(v-30)] = 540(v-30)

480v + 14400 - (v² - 900) = 540v - 16200

480v + 14400 - v² + 900 = 540v - 16200

v² + 540v - 480v - 16200 - 14400 - 900 = 0

v² + 60v - 31500 = 0

Solving the quadratic equation,

v = 150 mph or v = -210 mph

We'll pick the positive answer because of the directions we have established.

Therefore, the speed of the plane in still air = 150 mph

Hope this Helps!!!

3 0
3 years ago
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