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3 years ago

Given the trinomial 2x2 + 4x + 4, predict the type of solutions.

2 answers:

4 0

Trinomial 2x² + 4x + 4.

It's of the form ax²+bx+c and it's discriminant is Δ=b² - 4.a.c

(in our case Δ = 4² - (4)(2)(4) → Δ = - 32

We know that: x' = -1 + i and x" = -1 - i

If Δ > 0 we have 2 rational solutions x' and x"

If Δ = 0 we have1 rational solution x' = x"

If Δ < 0 we have 2 complex solutions x' and x", that are conjugate

In our example we have Δ = - 16 then <0 so we have 2 complex solutions

That are x'= [-b+√Δ]/2.a and x" = [-b-√Δ]/2.a

x' =

LenaWriter [7]3 years ago

4 0

Answer:

Two complex solutions

Step-by-step explanation:

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Add the two expressions.<br><br> 3x + 7 and 9x−2

aleksklad [387]

Let's add

$\\ \tt\hookrightarrow 3x+7+(9x-2)$

Remove brackets

$\\ \tt\hookrightarrow 3x+7+9x-2$

Combine like variables

$\\ \tt\hookrightarrow 3x+9x+7-2$

$\\ \tt\hookrightarrow 12x+5$

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2 years ago

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44% is equivalent to what fraction in reduced terms?

Vera_Pavlovna [14]

Answer:

44/100 will be reduced to 11/25

Step-by-step explanation:

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3 years ago

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Really easy math question

Eddi Din [679]

Number of sodas sold = 130

Number of hot dogs sold = 65

Step-by-step explanation:

Given,

Combined number of sodas and hot dogs sold = 195

Let,

x represent the number of sodas sold

y represent the number of hot dogs sold

According to given statement;

x+y=195 Eqn 1

x = 2y Eqn 2

Putting value of x from Eqn 2 in Eqn 1

$2y+y=195\\3y=195$

Dividing both sides by 3

$\frac{3y}{3}=\frac{195}{3}\\y=65$

Putting y=65 in Eqn 2

$x=2(65)\\x=130$

Number of sodas sold = 130

Number of hot dogs sold = 65

Keywords: linear equation, substitution method

Learn more about substitution method at:

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3 years ago

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Determine whether each table represents a linear quadratic or exponential function

Kryger [21]

Answer:

Table A: exponencial function

Table B: quadratic function

Table C: linear function

Step-by-step explanation:

Table A:

for x from 1 to 2, Y increased by 6

for x from 2 to 3, Y increased by 18

for x from 3 to 4, Y increased by 54

So we can see that the values of Y are being multiplied by 3 for each increment of x, so this table represents an exponencial function.

Table B:

for x from 1 to 2, Y increased by 6

for x from 2 to 3, Y increased by 10

for x from 3 to 4, Y increased by 14

The increment of Y is higher than a linear increment and smaller than an exponencial increment, so this is the quadratic function.

Table C:

for x from 3 to 6, Y increased by -2

for x from 6 to 9, Y increased by -2

for x from 9 to 12, Y increased by -2

The increment of Y is constant for the same increment of X, so this is a linear function.

7 0

3 years ago

The distance d of a particle moving in a straight line is given by d(t) = 2t^3 + 5t – 2, where t is given in seconds and d is me

Amanda [17]

Answer: 299 m/s

Step-by-step explanation:

The first step is to take the first derivative of the equation given. This will give us the equation for velocity which we will then substitute the 7 in for t.

To derive the equation you multiply the coefficient by the power of the variable, then subtract one from the variable.

v(t) = 6t^2 + 5

Now input 7 in for t to find the velocity.

v(7) = 6(7)^2 + 5

v(7) = 299 m/s

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3 years ago