simplify this surd expression

According to the graphic method, the quintic function has a real root at (x, y) = (- 3, 0) and four complex roots.

Quintic functions are polynomics of degree 5, there are numerical and graphical approaches to find real roots of those kind of polynomials. By algebra we know that quintic equations have at a least one real root and at most five real roots.

In this problem we shall use a graphic approach to determine the real roots of the quintic equation, as it offers sufficiency and quickness for analysis. Please notice that a point of the curve is a root if the point lies on the x-axis.

The graph is contained in the image attached below. According to the outcome, the quintic function has a real root at (x, y) = (- 3, 0) and four complex roots.

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Answer:

Hey there! The answer you selected is correct!

Step-by-step explanation:

$6 x the number of hours he works + $7.50 times the number of hours he works has to be less than or equal to (≤) 15 hours. The number of hours he works has to be more than or equal (≥) to $75. Great job choosing the correct answer!

The system of inequalities represents this solution is B. 6c + 7.5d ≥ 75 ;

d + c ≤ 15.

A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.

Now it is given that,

Money from walking neighbor's dog = $6 per hour

Money from car wash = $7.5 per hour

Total Number of hours of work not more than 15 hours

Now, if d represents the number of hours walking his neighbor's dog and c represents the number of hours washing cars

So, money from walking neighbor's dog = 6c

and money from car wash = 7.5d

Therefore total money saved = 6c + 7.5d

∵ Total Number of hours of work is not more than 15 hours

⇒ d + c ≤ 15

∵ Tom needs to make at least $75 to cover prom expenses

⇒ 6c + 7.5d ≥ 75

The system of inequalities represents this solution is B. 6c + 7.5d ≥ 75 ;

d + c ≤ 15.

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Answer:

umm this seriously dont make sense..

Answer:

14/9

Step-by-step explanation:

Yea that is the answer...

Answer:

v = 18

Step-by-step explanation:

8/3v = 48

were going to have to get 3 on the other side, so were going to cancel it out and multipliy it because it is a fraction

now we would have 8v = 48*3

48*3=144

now the equation looks like this 8v = 144

to isolate v we can divide 8 on both sides

which brings us to v = 18

High Hopes^^

Barry-

Answer:

f(1)=1

Step-by-step explanation:

f(1) is talking about the x point. this point correlates with the y axis at (1,1). this makes the answer f(1)=1

Step-by-step explanation:

3 because I don't really know

Answer:

68

Step-by-step explanation:

It just it

Answer:

68°F

Step-by-step explanation:

55 degrees minus -13 degrees is 68, the difference is 68 degrees Farenheit.

srry I meant 68

Answer:

BBBBBBBBBBBBBBBBB

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer: See explanation

Step-by-step explanation:

Fron the question, we are informed that she bought 10 ounces of spicy popcorn for $2.50.

a. How much does popcorn cost per ounce?

1 ounce of popcorn = $2.50/10 = $0.25

b. How much popcorn can you buy per dollar?

Since 1 ounce of popcorn cost $0.25, $1 can buy popcorn worth:

= $1/$0.25

= 4 ounce of popcorn.

The relationship between the ounce of popcorn and the amount spent is an illustration of a linear function.

From the question, we have:

[tex]\mathbf{10oz - \$2.50}[/tex]

(a) The cost per ounce

To do this, we simply divide both sides by 10

[tex]\mathbf{Cost = \frac{\$2.50}{10oz}}[/tex]

[tex]\mathbf{Cost = \$0.25/oz}[/tex]

Hence, the cost per ounce is $0.25

(b) Popcorn for $1

To do this, we simply divide both sides by 2.5

[tex]\mathbf{Popcorn- \frac{10oz}{\$2.50}}[/tex]

[tex]\mathbf{Popcorn- 4oz/\$}[/tex]

Hence, the amount of popcorn for $1 is 4 ounces

(c) Represent as equations

In (a),  the cost per ounce is $0.25.

So, the equation is:

[tex]\mathbf{y = 0.25x}[/tex]

In (b),  the amount of popcorn for $1 is 4 ounces

So, the equation is:

[tex]\mathbf{x = 4y}[/tex]

Where: x represents the size of popcorn, and y represents the cost.

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Answer:

Step-by-step explanation:

Check the attached diagram... since they are parallel lines, those angles should be equal. now as per the theorem of opposite angles, (3x + 10)° should be equal to 70° .

(3x + 10)° = 70°

3x = 60°

x = 20

Answer:

XDDDDDDDDDDDDDDDDDDDDDDDDD

Step-by-step explanation:

Answer:

It would be rotation what do u mean by congruent statement? Angles? B is congruent to D A IS CONGRUENT TO e

Step-by-step explanation:

Answer:

206

Step-by-step explanation:

I put it in a calculator

Answer:

206

Step-by-step explanation:

3(5+3)^2+14

3(8)^2+14

3(64)+14

194+14

=206

Answer:

−36

Step-by-step explanation:

Answer:  A) 1/360

This is because there are 360 degrees in a full circle.

15 cm * (7 km / 1 cm) = 105 km

Answer:

98 km, if i'm not wrong

Step-by-step explanation:

I believe it would be 98km because wouldn't you just multiply 14 x 7?

Answer:

they are a linear pair

Step-by-step explanation:

they each add up to 180º when added together

Answer:

2 (3 y - 4) <- Complete answer, but since you only have those choices it's

6 y - 8

Step-by-step explanation:

Simplify the following:

8 y - 2 (y + 4)

Hint: | Distribute -2 over y + 4.

-2 (y + 4) = -2 y - 8:

8 y + -2 y - 8

Hint: | Group like terms in 8 y - 2 y - 8.

Grouping like terms, 8 y - 2 y - 8 = (8 y - 2 y) - 8:

(8 y - 2 y) - 8

Hint: | Combine like terms in 8 y - 2 y.

8 y - 2 y = 6 y:

6 y - 8

Hint: | Factor out the greatest common divisor of the coefficients of 6 y - 8.

Factor 2 out of 6 y - 8:

Answer: 2 (3 y - 4)

Answer:

The answer is no solution.

Step-by-step explanation:

Answer:

a.16

b.1056

Step-by-step explanation:

a. So we know that Not Shakers charges 800 dollars  + 16 per hour, so we can call that 800 + 16h. We also know that Hernia Movers charges 720 dollars + 21 per hour, so we can call that 720 + 21h.

Now in order to find when they will have the same amount, we have to solve for h.

Equation:

800 + 16h= 720+21h

800=720+5h

5h=80

h=16

The two companies will have the same amount after 16 hours.

b. Now we have to find that amount, so all we have to do is replace h with 16. so 720 + 21(16) = 1056.

Therefore, the amount will be 1056 dollars.

Answer: x>-1

Step-by-step explanation: I know this because I solved this equation. I know that is not a good explanation but I know it is right.

Answer:

x > -1

Step-by-step explanation:

-2x + 3 < 5

subtract 3 from both sides of inequality

-2x < 2

divide both sides of inequality by -2. Keep in mind whenever you divide or multiply by a negative number to both sides of inequality the symbol flips.

x > -1

Answer: $270

Step-by-step explanation:

Cost of heating last year = $120

The amount that they will expect to pay this January if their bill increased by 125% will be the addition of $120 and 125% of $120. This can be mathematically expressed as:

= $120 + (125% × $120)

= $120 + (1.25 × $120)

= $120 + $150

= $270

Answer:

[tex]x=-1 ,-2[/tex]

Step-by-step explanation:

Quadratic Formula: [tex]x=\frac{-b \pm \sqrt{b^2-4ac} }{2a}[/tex]

Step 1: Define

3x² + 9x + 6 = 0

a = 3

b = 9

c = 6

Step 2: Substitute and Evaluate

[tex]x=\frac{-9 \pm \sqrt{9^2-4(3)(6)} }{2(3)}[/tex]

[tex]x=\frac{-9 \pm \sqrt{81-72} }{6}[/tex]

[tex]x=\frac{-9 \pm \sqrt{9} }{6}[/tex]

[tex]x=\frac{-9 \pm 3 }{6}[/tex]

[tex]x=\frac{3(-3 \pm 1) }{6}[/tex]

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

[tex]x=\frac{-2}{2} ,\frac{-4}{2}[/tex]

[tex]x=-1 ,-2[/tex]

Answer:

17 messages.

Step-by-step explanation:

Divide 140 by 7 to get 20.

This means it costs 1 dollar for 20 messages.

And therefore 17 messages for 85c.

9514 1404 393

Answer:

Step-by-step explanation:

Reflection over the line y=1 is equivalent to the transformation ...

  (x, y) ⇒ (x, 2-y)

Then the transformed coordinates are ...

  J(-4, 3) ⇒ J'(-4, -1)

  K(-2, 7) ⇒ K'(-2, -5)

  L(2, 7) ⇒ L'(2, -5)

  M(3, 3) ⇒ M'(3, -1)

_____

You can do the arithmetic (as we have done above), or you can simply read the coordinates of the reflected points from the graph.

The length of the actual hotdog comes to be 15cms.

A scale factor is a ratio between corresponding measurements of an object and a representation of that object.

From the diagram

6 units = 10cm

So, 1 unit =10/6 cm

The length of the hotdog shown in the graph = 9 units

So, 9 units = 9*(10/6)

9 units = 15cms

So, the actual length of the hotdog =15cms

Thus, the length of the actual hotdog comes to be 15cms.

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Complete Question:

Alicia is writing the program for a video game. For one part of the game she uses the rule (x,y)->(x-3,y+4) to move points on the screen.

A) what output does the rule give when the input is (-6,0)?

B)What output does the rule give when the input is (3,-4)?

C) Is the rule a function? Explain why it is or why it is not

Answer:

a. The output is (-9,4)

b. The output is (0,0)

c. See Explanation

Step-by-step explanation:

Given

Rule: (x,y)->(x - 3, y + 4)

Solving (a):

Inputs:

[tex]x = -6[/tex]

[tex]y = 0[/tex]

The outputs is as follows;

[tex]x => x - 3[/tex]

[tex]x => -6 - 3[/tex]

[tex]x => -9[/tex]

[tex]y=> y + 4[/tex]

[tex]y=> 0 + 4[/tex]

[tex]y=> 4[/tex]

Hence:

The output is (-9,4)

Solving (b):

Inputs:

[tex]x = 3[/tex]

[tex]y = -4[/tex]

The outputs is as follows;

[tex]x => x - 3[/tex]

[tex]x=>3-3[/tex]

[tex]x = 0[/tex]

[tex]y=> y + 4[/tex]

[tex]y=>-4+4[/tex]

[tex]y=>0[/tex]

Hence:

The output is (0,0)

Solving (c):

The function is a rule and the rule is that:

It shifts the graph left by 3 units and up by 4 units