which of the following is NOT a root of x (x+3)(x-1)(2x+1)= 0
i. 0
ii. -3
iii. -1
iv. 1/2

A. i only B. iv only
C. i and ii only
D. iii and iv only​

Answers

Answer 1

Answer:

The answer is A only i. (0)

Answer 2

Answer:

D

Step-by-step explanation:

Given

x(x + 3)(x - 1)(2x + 1) = 0

Equate each factor to zero and solve for x

x = 0

x + 3 = 0 ⇒ x = - 3

x - 1 = 0 ⇒ x = 1

2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = - [tex]\frac{1}{2}[/tex]

Thus

x = 0, x = - 3, x = 1, x = - [tex]\frac{1}{2}[/tex] are the roots

Hence

111 x = - 1 and iv x = [tex]\frac{1}{2}[/tex] are NOT roots → D


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We have given that,

A sociologist polled a random sample of people and asked them their age and annual income.

What is the annual income?

annual income is the amount of money you receive during the year into your bank account, before any deductions.

The two-way frequency table below shows the results.

Annual income vs. age group Less than $50,000 At least $50,000

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A person with an annual income of at least

[tex]=\$50000\\=$50,000dollar[/tex]

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A person in the 44 and under age group is more likely to have an annual income of at least $50,000​.

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Joseph recently noticed that this time next year he will be twice as old as Jasmine. I couldn't help noticing that when I am 66 at this time of the year the combined future ages of Joseph and Jasmine will also be 66. Also, 6 years from now my future age will be a multiple of the sum of Joseph and Jasmine's future ages. Of course, all ages are non-negative integers. How old. are Joseph Jasmine, and I now?

Answers

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Answers

Answer:

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Step-by-step explanation:

-7/9 x 2/5 = -14/45

Answer:

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Answers

Answer:

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Step-by-step explanations

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer: = 1

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Answers

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Answer:

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Answers

Answer:

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Step-by-step explanation:

Using the exact values of the given trig functions, then

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Answers

Answer:

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Answers

Answer:

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Answers

Answer:

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Explanation:

Look at attached image!

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Answers

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Answers

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Step-by-step explanation:

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[tex]\rm P = \sqrt {H^2 - B^2 }.........(1)\\where \\H = Hypotenuse \; of \; right\; triangle\\B = Base\; of \; the \; right\; triangle \\P = Perpendicular \; of \; the\; right\; triangle[/tex]

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Answers

Answer:

x = -6

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10x = 6x - 24

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Twice the length of 322 yards is 644. If I divide by 15 I get 42 r14. Alice needs to buy 43 rolls of ribbon .

Answer: Twice the length of 322 yards is 644. If I divide by 15 I get 42 r14. Alice needs to buy 43 rolls of ribbon. I like your cut G !

Step-by-step explanation:

solve the equation
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X= root square of y-49

Express Jenny's age in terms of a if jenny is three years less than half of Anne's age
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1. a = 1/2x - 3
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What is the amplitude of y = -8sin(3x)?

Answers

Answer:

for y=-8sin(3x)

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Answer:

8

Step-by-step explanation:

amplitude =8

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A rectangular lawn 4m by 10m has a garden of uniform width added to one end. Then, along the combined side length of the lawn and garden , another garden is added, whose width is twice that of garden . The total area of the lawn and both gardens is 72 m2

Answers

Answer and explanation:

A rectangle's width is longer than the length

And so given a rectangular lawn 4m by 10m,

the width of the lawn= 10m

the length of the lawn= 4m

If a garden of uniform width is added, then garden's width = 10m

The garden of uniform width is added to the width side of the rectangular lawn( since along the combined side length of the lawn and garden, another garden is added)

The garden added to the combined side length of the lawn and garden has width twice that of the garden = 2*10= 20m

Given that total area of the lawn and two gardens = 72m²

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= 4*10+ 10*x+ 20*y=72

Therefore equation for total area of lawn and both gardens is 40+10x+20y=72

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10x+20y=72-40

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Answers

Answer:

22 units.

Step-by-step explanation:

We want to find the perimeter of the polygon with vertices at: (-3, 1); (5, 1); (-3, 4); and (5, 4).

Let’s first plot the points and see what polygon we acquire. Please refer to the graph below.

As we can see, when plotting the points and connecting them, we get a rectangle.

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[tex]P=2(\ell+w)[/tex]

Where [tex]\ell[/tex] Is the length and [tex]w[/tex] is width.

Remember that the perimeter is simply the distance around the figure.

So, let’s find the length. We can do so by counting or by subtracting.

By counting, we can see that the length (longer side) is 8 units.

And by subtracting, we get the same length of |5-(-3)| or 8 units.

We use absolute value because distance is always positive.

Using the same process, we find the width to be 3 units.

Using subtract, we can see that this is indeed true as |1-4|=3.

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[tex]P=2(8+3)[/tex]

Evaluate:

[tex]P=2(8+3)=2(11)=22\text{ units}[/tex]

So, the perimeter of the polygon is 22 units.

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