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3 years ago

Identify the roots of the equation and the multiplicities of the roots. (x - 6)(x + 4)2 = 0

Mathematics

1 answer:

Harman [31]3 years ago

8 0

Answer:

Roots are x=6 and - 4

Step-by-step explanation:

2(x-6)(x+4)=0

(x-6)=0 or (x+4)=0

x=6 or x=-4, their multiplicities is 1

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max bought 2 3/4 punds of green apples, 1 5/8 pounds of yellow apples, and 1 5/8 pounds red apples. the total cost was $5.40. wh

dangina [55]

2 3/4 + 1 5/8 + 1 5/8 =
2 + 1 + 1 = 4 (add the whole numbers)
3/4 + 5/8 + 5/8 = 6/8 + 5/8 + 5/8 = 16/8 = 2 (add the fractions)
4 + 2 = 6 total lbs

5.40 for 6 lbs = 5.40/6 = 0.90 (so the apples cost 90 cents per lb)

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3 years ago

Customers enter the waiting line to pay for food as they leave a cafeteria on a first-come, first-served basis. The arrival rate

Elan Coil [88]

Answer:

The answer is B) 0.57.

Step-by-step explanation:

In this problem we have to apply queueing theory.

It is a single server queueing problem.

The arrival rate is $\lambda=4$ and the service rate is $\mu=7$ .

The proportion of time that the server is busy is now as the "server utilization"and can be calculated as:

$p=\frac{\lambda}{c\mu} =\frac{4}{1*7}=0.57$

where c is the number of server (in this case, one server).

3 0

3 years ago

Zoey made 6 1/2 cups of trail mix for a camping trip. She wants to divide the trail mix into 3/4 cup of servings. Twelve people

AlekseyPX

Answer:

Step-by-step explanation:

Given that:

Total number of cups of trail mix available for camping trip = $6\frac{1}{2}$

Amount of one serving contains = $\frac{3}{4}$ cups

Number of people at the trip = 12

To find:

Whether each person will be able to get the servings?

Solution:

Here, we can find the total number of servings by dividing the total number of cups of trail mix with the amount of one serving.

First of all, let us convert the mixed fraction into fractional number.

$6\dfrac{1}{2} = \dfrac{6\times 2+1}{2} = \dfrac{13}{2}$

Therefore, total number of servings available as per the given quantities:

$\dfrac{\frac{13}2}{\frac{3}4}\\\Rightarrow \dfrac{13\times 4}{2\times 3} \\\Rightarrow \dfrac{26}{3}\\\Rightarrow \approx 8$

So, With this type of servings Zoey will be able to serve only 8 people.

Therefore, there is not enough servings.

7 0

3 years ago

Need help with this question

Andreas93 [3]

The Domain is (-∞, -2) U (-2, 2) U (2, ∞) and Range is (-∞, -2) U [-1, ∞) and x-intercept = (-1.5, 0), (1.5, 0) and y-intercept = (0, -1).

<h3>What is a conic section?</h3>

It is defined as the curve which is the intersection of cone and plane. There are three major conic sections; parabola, hyperbola, and ellipse (circle is a special of type of ellipse).

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

From the graph:

a) The domain: all values of x

The range: all values of y

Except: Values at asymptotes are excluded.

Domain = (-∞, -2) U (-2, 2) U (2, ∞)

Range = (-∞, -2) U [-1, ∞)

x-intercept = (-1.5, 0), (1.5, 0)

y-intercept = (0, -1)

c) Horiznotal asymptotes: y = -2

d)Vetical asymptotes: x = -2, x = 2

e) Oblique asymptotes: There is no oblique asymptotes

Thus, the Domain is (-∞, -2) U (-2, 2) U (2, ∞) and Range is (-∞, -2) U [-1, ∞) and x-intercept = (-1.5, 0), (1.5, 0) and y-intercept = (0, -1).

Learn more about the conic section here:

brainly.com/question/8412465

#SPJ1

7 0

2 years ago

Rosa just finished installing a small koi Pond in her backyard and now needs to re-sod. One side of the koi pond is 2 feet short

hram777 [196]

The sketch of the garden and the pond is shown below

Area of garden = length × width
Area of garden = [3x + 5] × 3x
Area of garden = 3x[3x+5]
Area of garden = 9x² + 15x

Area of pond = [x-2] × x
Area of pond = x[x-2]
Area of pond = x² - 2x

Area to be re-sod = Area of garden - Area of pond
Area to be re-sod = 9x² + 15x - [x² - 2x]
Area to be re-sod = 9x² - x² + 15x + 2x
Area to be re-sod = 8x² + 17x

The amount of sod needed to be bought would depend on how much in each packaging they are being sold.

6 0

3 years ago