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3 years ago

Use the quadratic formula to solve 9x2 + 6x – 17 = 0. A. B. x = –1, –5 C. D.

Mathematics

1 answer:

Taya2010 [7]3 years ago

6 0

Answer:

$x_{1} = -\frac{1}{3} +\sqrt{2} ; x_{2} = -\frac{1}{3}-\sqrt{2}$

Step-by-step explanation:

9x² + 6x – 17 = 0

Apply the quadratic formula

$x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}$

a = 9; b = 6; y = -17

$x = \frac{-6\pm\sqrt{6^2 - 4\times 9 \times(-17)}}{2\times 9}$

$x = \frac{-6\pm\sqrt{36+36\times17}}{18}$

$x = \frac{-6\pm\sqrt{36(1+17)}}{18}$

$x = \frac{-6\pm 6 \sqrt{18}}{18}$

$x = \frac{-1\pm \sqrt{9\times2}}{3}$

$x = \frac{-1\pm 3\sqrt{2}}{3}$

$x_{1} = -\frac{1}{3} +\sqrt{2} ; x_{2} = -\frac{1}{3}-\sqrt{2}$

The graph below shows the roots at x₁ =1.081 and x₂ = -1.748.

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Suppose the correlation between height and weight for adults is +0.40. What proportion (or percent) of the variability in weight

Schach [20]

Answer:

We are given the correlation between height and weight for adults is 0.40.

We need to find the proportion of the variability in weight that can be explained by the relationship with height.

We know that coefficient of determination or R-square measures the proportion or percent of variability in dependent variable that can be explained by the relationship with independent variable. There the coefficient of determination is given below:

$R^{2}=r^{2}=0.40^{2}=0.16$

Therefore, the 0.16 or 16% of the variability in weight can be explained by the relationship with height

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3 years ago

Suppose you are taking the bus home, and can take either Route 51 or Route 82. You know that the Route 82 will arrive at the bus

kykrilka [37]

Answer:

E[T] = 10

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distribution has two bounds, a and b, and the expected value of the uniform distribution is given by:

$E = \frac{a+b}{2}$

Uniformly distributed between 0 and 20 minutes.

This means that $a = 0, b = 20$

Let T be the number of minutes you wait until you board a bus. Find E[T].

This is

$E[T] = \frac{a + b}{2} = \frac{0 + 20}{2} = 10$

E[T] = 10

8 0

2 years ago

Joseph is forming a three-dimensional figure using a net. The figure has six congruent square faces. What types of figure did he

jek_recluse [69]

I think it would b a cube.

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3 years ago

A store has been selling 300 Blu-ray disc players a week at $600 each. A market survey indicates that for each $40 rebate offere

timurjin [86]

Answer:

75 $

Step-by-step explanation:

According to problem statement p(300) = 600

And we know that with a rebate of 40 $, numbers of units sold will increase by 80 then if x is number of units sold, the increase in units is

( x - 300 ) , and the price decrease

(1/80)*40 = 0,5

Then the demand function is:

D(x) = 600 - 0,5* ( x - 300 ) (1)

And revenue function is:

R(x) = x * (D(x) ⇒ R(x) = x* [ 600 - 0,5* ( x - 300 )]

R(x) = 600*x - 0,5*x * ( x - 300 )

R(x) = 600*x - 0,5*x² - 150*x

R(x) = 450*x - (1/2)*x²

Now taking derivatives on both sides of the equation we get

R´(x) = 450 - x

R´(x) = 0 ⇒ 450 - x = 0

x = 450 units

We can observe that for 0 < x < 450 R(x) > 0 then R(x) has a maximum for x = 450

Plugging this value in demand equation, we get the rebate for maximize revenue

D(450) = 600 - 0,5* ( x - 300 )

D(450) = 600 - 225 + 150

D(450) =

D(450) = 600 - 0,5*( 150)

D(450) = 600 - 75

D(450) = 525

And the rebate must be

600 - 525 = 75 $

5 0

3 years ago

the ratio of dog to cats in the shelter was 4 to 6 if there were 12 cats how many dogs would there be

jasenka [17]

Answer:

8 dogs

Step-by-step explanation:

If there were 6 cats, there would be 4 dogs. Since there is double that amount of cats, then we just double the amount of dogs from 4 to 8, our final answer.

I would appreciate Brainliest but no worries.

4 0

3 years ago