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Answer:

[tex]x=\sqrt{3}-2\\x=-\sqrt{3}-2\\x=\frac{1}{2}[/tex]

Step-by-step explanation:

This is a hard one

We have to use the rational root theorem

[tex]2x^3+7x^2-2x-1[/tex] = 0

We have to find all the factors of a and d and put them in a fraction

[tex]a=2\\d=-1\\\frac{1}{1,2}[/tex]

We then plug them into the equation to see if any of them work

The equation isn't true when plugging 1, but is true when plugging in 1/2

factored form of 1/2 is (2x-1)

Then we divide the original equation by (2x-1) (you can use synthetic division or long division, it would be hard to type out the process for that) to get [tex]x^2+4x+1[/tex]

So now the equation is [tex](2x-1)(x^2+4x+1)[/tex]

Solve the second half of this equation using the quadratic formula to get

[tex]\sqrt{3}-2[/tex] and [tex]-\sqrt{3}-2[/tex]

We already know the solution for the first half of the equation (1/2)

So the final answers are:

[tex]x=\sqrt{3}-2, -\sqrt{3}-2, \frac{1}{2}[/tex]

Answer:

Divisor

Step-by-step explanation:

Answer:

4,872 miles

Step-by-step explanation:

Step 1:

2,436 : 6

Step 2:

2,436 : 6 = x : 12

Step 3:

6x = 29,232

Answer:

x = 4,872

Hope This Helps :)

Answer:

x=1+/- the square root of 89

Answer:

x=1+ (square root of 89)

Step-by-step explanation:

Answer:

34.4

Step-by-step explanation:

10% is the same thing as 0.1 so 344 times 0.1 is 34.4

A percent (%) is equal to 1/100 (We actually don't call that 'per''cent' for no reason)

So 10% is actually 10 times % which is:

[tex]10\% \\ 10(\frac{1}{100}) \\ \frac{10}{100} \\ \frac{1}{10}[/tex]

If you get a calculator and calculate 1/10 the calculator should give 0.1

You might be taught that to get the decimal form from percent you just move the decimal point to the left twice (like 34% -----> .34) but if you do this, you are essentially dividing by 100 or multiplying by 1/100

now you know 10% is 0.1 the next thing to do is multiply it to 344.

[tex]344(\frac{1}{10}) \\ \frac{344}{10} \\ 34.4[/tex]

Answer:

34.4

Step-by-step explanation:

344 x 1/10 = 34.4

Answer:

[tex](-\frac{3}{2} , 5)[/tex]

Step-by-step explanation:

The graph is in the image

[tex]Midpoint =\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-3,\:9\right),\:\left(x_2,\:y_2\right)=\left(0,\:1\right)\\\\\left(\frac{0-3}{2},\:\frac{1+9}{2}\right)\\\\Add\:or\:subtract\:the\:numbers\\\\(\frac{-3}{2} , \frac{10}{2}) \\\\Simplify\\\\(-\frac{3}{2} , 5)\\[/tex]

The Demand Function would be as follows:

[tex]Q = 64 - 53p[/tex]

This shows the relationship between Price & Quantity, represents Quantity as a function of price.

Revenue is the total receipts from sale, with the formula [tex]= Price[/tex] × [tex]Quantity[/tex]

So,

[tex]Quantity = Revenue / Price[/tex]

Hence, dividing the given revenue equation by P, we get

[tex]Q = (- 53p^2 + 64p )[/tex][tex]/ pQ = - 53p + 64[/tex] {Demand Function}

So, above-mentioned [tex]Q = 64 - 53p[/tex] is the Demand Function.

To learn more about Demand Function, refer https://brainly.com/question/23029589?referrer=searchResults

Answer:

let integers be x,2x, 3x respectively

x+2x+3x= 267

6x= 267

x=267/6= 44.5

2x= 44.5*2= 89

3x= 44.5*3= 133.5

largest integer = 133.5

hope it helps

plz mark as brainliest

Answer:

478 hours

Step-by-step explanation:

You would divide 239,000 by 500.

The required, when rounded to the nearest 10, the estimated product of 3217 ×  44 is 128,800.

In mathematics, products are defined as the repetitive addition of a value a number of times to another value.

Here,
To estimate the product of 3217 × 44 by rounding to the nearest 10, we can round each number to the nearest 10 and then multiply:

3217 rounds to 3220

44 rounds to 40

So we can estimate the product as:

3220 × 40 = 128,800

Therefore, when rounded to the nearest 10, the estimated product of 3217 x 44 is 128,800.

Learn more about the products here: https://brainly.com/question/10585362
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Answer:

The dimensions are 24 and 12 meters.

Step-by-step explanation:

W + L + W + L = 72   perimeter

(L-12) + L + (L-12) + L = 72

4L - 24 = 72

4L = 72 + 24 = 96  ====>  L = 96%2F4 = 24.

Answer:

Irving earned about $363.00 during the week.

Step-by-step explanation:

Irving’s time-and-a-half pay rate an hour =$485.54

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Payment for one hour =  $8.95

So, paid for 40 hours

=40*$8.95

= $358.00

Now for -a-half overtime

=$8.95*1.5

= $13.425

Now, for extra 9.5 hours

=$13.425*9.5

=$127.5375

Hence,  Irving’s time-and-a-half pay rate an hour

=127.5375+358.00

=$485.54

Learn more about unitary method here:

https://brainly.com/question/22056199

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Answer:

=14g−30

Step-by-step explanation:

I hope this helps you

Answer:

14g - 30

Step-by-step explanation:

combine like terms

Answer and Explanation:

Solution: For the general term of each infinite series,

     n=1 and the series are:

4/12+1+1/22+1+4/32+1+1/42+1+……..

Let [4/12 +1] + [1/22 + 1] + [4/32+1] + [1/42+1] +………

Sum of infinite series= ∑n=1 [4/n+11 + 1/n] + [1/n+21 + 1/n] + [4/n+31 + 1/n] + [1/n+41 +1/n] +………..

For n=1.

Answer:

57

Step-by-step explanation:

I prefer the equation in this format

[tex] \frac{3 |m - 2 {n}^{2} | }{4} [/tex]

substitute -4 for m and 6 for n

[tex] \frac{3 | - 4 - 2( {6}^{2}) | }{4} [/tex]

square the 6 then multiply by 2

[tex] \frac{3 | - 4 - 72| }{4} [/tex]

solve inside the absolute value then multiply by 3

[tex] \frac{3 | - 76| }{4} [/tex]

[tex] \frac{228}{4} [/tex]

divide by 4

[tex]57[/tex]

Answer:

  [500, 600, 500]

Step-by-step explanation:

Your friendly local matrix reducer will tell you the last column should be ...

  500

  600

  500

__

0.004 < 4.00

Hope this helps! :)

Answer:

-9/20

Step-by-step explanation:

xy

Let x=3/5 and y= -3/4

3/5 * -3/4

-9/20

Answer: -9/20

Step-by-step explanation: xy means x times y, so all you need to do is substatute 3/5 in for x and -3/4 in for y multiply numerators times numerators and denominators times denominators.

C=πd

r=21

d=42

C=132 ft, and D is your final answer. Hope it help!

Answer:

132

Step-by-step explanation:

D

Answer:

n = 2

Step-by-step explanation:

2 - 22 = -9n + 22 - n - 22

-20 = -9n - n

-20 = -10n

-20/-10 = -10/-10n

-2 = -n

n = 2

Answer:

The value of n is 2.

Step-by-step explanation:

First, you have to collect like-terms :

[tex]2 = - 9n + 22 - n[/tex]

[tex]2 = - 10n + 22[/tex]

Next, you have to subtract 22 on both sides :

[tex]2 - 22 = - 10n + 22 - 22[/tex]

[tex] - 20 = - 10n[/tex]

Lastly, have to divide -10 on both sides :

[tex] - 10n = - 20[/tex]

[tex] - 10n \div - 10 = - 20 \div - 10[/tex]

[tex]n = 2[/tex]

Answer:

13 hours

Step-by-step explanation:

Given that Daniel will incur the following costs:

Transportation : $310

Food : $275

Hotel : $70 per night for 6 nights = $70 x 6 = $420

his total cost  = $ (310 + 275 + 420) = $1005

it is given that he has $745 in savings: If he uses all his savings, it will reduce his total cost balance to $1005 - $745 = $260

hence he needs to make up the remaining $260 by tutoring for $20 per hour

number of hours to make up the $260

= $260 ÷ $20/hr

= 13 hours

Answer:

angles that are opposite each other when two straight lines intersect.

Step-by-step explanation:

Answer:

C. 4 sqr 2, sorry for the answer being late, hope this helps some one tho :)

Step-by-step explanation:

I took the quiz and got it correct

Answer:

The answer would indeed be C.

Step-by-step explanation:

Was in my test on edg.

Answer:

[tex]3^{-4}[/tex]

Step-by-step explanation:

[tex]3^5\cdot \:3^{-9}=3^{5-9}=3^{-4}[/tex]

Answer:

  it depends

Step-by-step explanation:

The required tools are a compass and straightedge. A pencil or other drawing tool will also be useful (or you can use the marker in the compass).

__

Generally, follow the applicable directions. The specific directions vary, depending on the construction you want to do. Numerous web sites and videos can show you step-by-step. (Search for "construction of ...") for whatever you're trying to construct.

__

To construct a circle (or part of a circle), set the compass to the appropriate width, place the pointed end on the center of the circle, and rotate the marker in a circle around that point, taking care to ...

To construct a line through two points, align the edge of the straightedge with the two points, and make a mark along that edge using your marking tool. (You may find that you need to make a slight adjustment in your alignment to account for the width of the marker).

All other constructions use combinations of these skills.

Answer:

4

Step-by-step explanation:

c+d=16

d=6

so c will be 10 as c+6=16

c=10

d=6

so c-d=10-6=4

hope it helps