What are the real and complex solutions of the polynomial equation? 0=x^4+3x^2-4
A. -1,1
B. 1,2i
C. -1,1,-2,2
D. -1,1,-2i, 2i

Answer:

b,d,e

Step-by-step explanation:

Rock the House

Cost = initial fee + hourly charge * hours

Cost = 500 + 50h

Elegant Homes

Cost = initial fee + hourly charge * hours

Cost = 0+ 75h

Cost = 75h

Set the costs equal

500+ 50h = 75h

Subtract 50 h from each side

500 = 25h

Divide by 25

500/25= 25h/25

25 =h

The costs are equal at 20 hours

If less than 20 hours it costs less at Elegant homes.

If more than 20 hours it costs less at Rock the house

Answer:

A and B.

Step-by-step explanation:

where m is the slope and c is the the y-intercept.

A. y = x + 6

For this equation m = 1

B. y = -x - 9  

For equation B, m = -1

C. y = 2x + 1  

In this equation, m = 2  

D. y = -7x - 2

In equation D, m = -7

The equation with the highest slope is D while the one with the least slope/steep is A and B.

Answer:

Fraction 3 over 8, because fraction 7 over 8 minus 2 times fraction 1 over 4 equals fraction 7 over 8 minus fraction 2 over 4.

Step-by-step explanation:

Rickey has [tex]\frac{7}{8}[/tex] of a cup of cereal in a bowl.

He then gave two [tex]\frac{1}{4}[/tex] or [tex]2\times \frac{1}{4}[/tex] or  [tex]\frac{2}{4}[/tex] cups of cereal from his bowl to his little sister.

Amount of cereal left in Rickey's bowl = [tex]\frac{7}{8}- \frac{2}{4}[/tex]

= [tex]\frac{7-4}{8}=\frac{3}{8}[/tex]

So, the answer is -

Fraction 3 over 8, because fraction 7 over 8 minus 2 times fraction 1 over 4 equals fraction 7 over 8 minus fraction 2 over 4.

[tex]\sqrt[n]{a}=a^{\frac{1}{n}}\\\\\text{Therefore}\\\\\sqrt3=3^\frac{1}{2}\\\\\sqrt[5]{3}=3^\frac{1}{5}\\\\\text{We have}\\\\(\sqrt3)(\sqrt[5]3)=3^\frac{1}{2}\cdot3^\frac{1}{5}\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=3^{\frac{1}{2}+\frac{1}{5}}=3^{\frac{5}{10}+\frac{2}{10}}=3^{\frac{7}{10}}\\\\Answer:\ \boxed{D.\ 3^{\frac{7}{10}}}[/tex]

Answer:

It would be -3/5, -0.4, |-1/2|, 0.6, 4/5.

Step-by-step explanation:

Answer:

-3/5 , -0.4 , -1/2 , 0.6 , 4/5

Step-by-step explanation:

-0.6, -0.4 , 0.5 , 0.6 , 0.8

In decimal form

Answer:

12

Step-by-step explanation:

√9 = 3 and √16 = 4

3 + 4 = 7

There is the same relationship in the second and third  set of numbers.

so for 25,9 the answer is 5 + 7 = 12

Answer:

12.

Step-by-step explanation:

We have been given format of different numbers. We are asked to find the missing value for our given format.

[tex]9,16=7[/tex]

Taking square root of 9 and 16 we will get,

[tex]\sqrt{9}=3[/tex]

[tex]\sqrt{16}=4[/tex]

[tex]3+4=7[/tex]

Similarly, we can see that by taking the square root of all the on the left side of equation and adding them we get right side of equation.

[tex]\sqrt{4}=2[/tex]

[tex]\sqrt{36}=6[/tex]

[tex]2+6=8[/tex]

[tex]\sqrt{121}=11[/tex]

[tex]\sqrt{81}=9[/tex]

[tex]11+9=20[/tex]

Upon taking square root of 25 and 49 we will get,

[tex]\sqrt{25}=5[/tex]

[tex]\sqrt{49}=7[/tex]

[tex]5+7=12[/tex]

Therefore, the missing number of our given sequence is 12.

Answer:

u ≤ 4

Step-by-step explanation:

The given inequality

15 ≤ 39 - 6u

Subtract 39 from both sides, we get

15 - 39 ≤ 39 - 6u - 39

-24 ≤ -6u

Dividing both sides by -6, we get

4 ≥ u                      [Remember, when we divide by negative, the direction of    

                              the inequality changes]

Which is u ≤ 4.

Thank you.

Answer:

U is greater than or equal to 4

Step-by-step explanation:

(pretend theres a line under the <)

15 < 39 - 6u

subtract both sides by 39 to get -6u by itself

-24 < -6u

divide both sides by -6 and get u completely by itself

4 < u

u is greater than or equal to 4.

Answer: [tex]36 cm^2[/tex]

Explanation:

Since here ABCD is the parallelogram.

Where E is the mid point of the line segment BC.

And, F is the intersection point of the segments AE and BD,

Also,  Area of △BEF is 3 [tex]cm^2[/tex].

We have to find Area of parallelogram ABCD.

Since,In  ΔBEF  and ΔACD,

∠ADF=∠EBF ( because AD ║ BE )

∠DFA = ∠BFE (vertically opposite angle)

Thus, By AA similarity postulate,

[tex]\triangle BEF \sim \triangle ACD[/tex],

Thus, [tex]\frac{area of \triangle ADF }{area of \triangle BFE} =(\frac{AD}{BE})^2[/tex]

But, AD = 2 BE,

Therefore,  [tex]\frac{area of \triangle ADF }{area of \triangle BFE} =(\frac{2BE}{BE})^2[/tex] = 4/1

Thus, area of Δ ADF = [tex]12 cm^2[/tex]

Similarly, [tex]\triangle ADB \sim \triangle BAE[/tex]

Now, let the area of the triangle AFB = x [tex]cm^2[/tex]

Thus, x + 12 = 2(x+3) ( because the area of the ΔADB = 2(area of ΔBAE) )

⇒ x = 6 [tex]cm^2[/tex]

Therefore, area of ΔAFB= 6 [tex]cm^2[/tex]

⇒ area of ΔABD = 12 + 6 = 18 [tex]cm^2[/tex]

By the definition of diagonal of parallelogram,

Area of parallelogram ABCD = 2× area of Δ ABD= 2 × 18 = 36 [tex]cm^2[/tex]

Answer:

Answer is: 5^ -8  *  5^4 =  5^-4

Step-by-step explanation:

To simplify : 5^ -8  *  5^4

This can also be written as :

5^ -8  *  5^4 = 1/5^8 * 5^4

or 5^ -8  *  5^4 = 5^4 / 5^8

or 5^ -8  *  5^4 = 5^(4 - 8)

or 5^ -8  *  5^4 = 5^-4

Hence we got 5^ -8  *  5^4 =  5^-4

Answer:

The solution of the system is the point where the graphs intersect, or have the same x and y values. This means that the company's cost to produce 400 caps is the same as the income made from selling 400 caps. Therefore, the company will not make a profit.

The cost to produce 400 caps is the same as the income made from selling 400 caps.

The company will break even when it sells 400 caps; it will not make a profit.

Step-by-step explanation:

Answer: Your response may vary. Sample answer below is the correct response.

Step-by-step explanation:  Sample response: The solution of the system is the point where the graphs intersect, or have the same x and y values. This means that the company's cost to produce 400 caps is the same as the income made from selling 400 caps. Therefore, the company will not make a profit.

Make sure to include in your answer:

Good Luck! :)

Answer:

120√6

Step-by-step explanation:

Simplify the 5√8 to 2√2

simplify the √18 to 3√2

so it would be √3 * 2√2 * 5 * 2√2 * 3√2

when a square root of an expression is multiplied by itself:

√3 * 2 * 2* 5 * 2 * 3√2

so as we calculate it, 2 * 2* 5 * 2 * 3 = 120 and √2 * √3 = 6

[tex]\sqrt3\\2\sqrt2\\5\sqrt8=5\sqrt{4\cdot2}=5\sqrt4\cdot\sqrt2=5(2)\sqrt2=10\sqrt2\\\sqrt{18}=\sqrt{9\cdot2}=\sqrt9\cdot\sqrt2=3\sqrt2\\\\\sqrt3\cdot2\sqrt2\cdot5\sqrt8\cdot\sqrt{18}=\sqrt3\cdot2\sqrt2\cdot10\sqrt2\cdot3\sqrt2\\\\=(2\cdot10\cdot3)(\sqrt3\cdot\sqrt2\cdot\sqrt2\cdot\sqrt2)=60\sqrt{3\cdot2}\cdot\sqrt{2\cdot2}\\\\=60\sqrt6\cdot\sqrt4=60\sqrt6\cdot2=(60\cdot2)(\sqrt6)\\\\=\boxed{120\sqrt6}[/tex]

Answer:

402.88mm³

Step-by-step explanation:

To find the answer to this, we need to find the total area of the coin and then the size of the inner coin.

As this is a cylinder, the formula is:

[tex]\pi r^{2} h[/tex]

So lets find the area of the whole coin.

The radius is 11.5 and height is 2.2

[tex]\pi * 11.5^{2} * 2.2 = 914.05[/tex]

Now, the area of the inner circle:

Radius is 8.6 and height is 2.2:

[tex]\pi * 8.6^{2} * 2.2 = 511.17[/tex]

Now to find the area of the silver ring in the coin, you subtract the inner circle measurement from the whole coin measurement:

914.05 - 511.17 = 402.88

So the volume of the outer ring is 402.88mm³

Answer:

3.25

Step-by-step explanation:

If we are rounding to the hundreds place, we look at the thousandths place or the 6.  Since 6>=5 we will round up.  The 4 will become a 5

 3.246 rounds to 3.25

Answer:

3.25

Step-by-step explanation:

AS the  digit after 4 is  6 we round up the 4.

Answer:

X=62

Step-by-step explanation:

So solving for x, we have 3x-6=180 or 3x=186. So x=62

Question

what is 2x+6+x-12=180

Answer:

Step-by-step explanation:

2x + 6 + x * 12 = 180

3x = 180 - 6 + 12

3x = 186

x = 186 : 3

x = 62

Answer:

17

Step-by-step explanation:

because 12 people can sit at each table, so youd divide 198 by 12 to see how many tables youd need, and you get 16.5. you cant have 16.5 tables, so always round up when it comes to objects, humans, things, etc. so you get 17

Answer:

3 3/4 hours

Step-by-step explanation:

The answer is 3 3/4 hours

Hope this helps :)

Answer:

it is 70 minutes total

Step-by-step explanation:

just add them

By adding the time spent on each game, we find that Porsche spent a total of 70 minutes at Level 1 across four gaming sessions.

Porsche spent a total amount of time at Level 1 over four games by adding the time taken for each game. This is a simple addition problem. The total time taken is:

First time: 24 minutes

Second time: 18 minutes

Third time: 16 minutes

Fourth time: 12 minutes

Using mental math, we can add these up:

24 + 18 + 16 + 12 = 70 minutes

Therefore, Porsche spent 70 minutes playing at Level 1 over the course of these four games.

Answers

First train's speed is 363 mph

Second train's speed is 356.1 mph

=====================================

Explanation:

x = speed of first train, y = speed of second train

x+y = 719.1 because the two speeds add to this value (sum means result of addition)

x = y+6.9 due to the fact that the first train (x) is faster than the second train (y) by 6.9 mph

Use substitution to find that...

x+y = 719.1

y+6.9+y = 719.1 <--- replace x with y+6.9

2y+6.9 = 719.1

2y = 719.1-6.9 <--- subtract 6.9 from both sides

2y = 712.2

y = 712.2/2 <--- divide both sides by 2

y = 356.1

now use this y value to find x

x = y+6.9

x = 356.1+6.9

x = 363

The speed of the first train is 363 mph and the speed of the second train is 356.1 mph. To find these, we solved the equation 2x + 6.9 = 719.1, where x represents the speed of the slower train.

To solve this problem, we will use algebra to set up equations based on the information given. Let's denote the speed of the second train as x miles per hour. Accordingly, the speed of the first train is described as x + 6.9 miles per hour, since we are told it is 6.9 mph faster than the second train. The sum of their speeds is given to be 719.1 mph. Therefore, we can write the following equation to find the speeds of each train:

Hence, the speed of the second train is 356.1 mph. Now to find the speed of the first train we add 6.9 mph to the speed of the second train:

So the speed of the first train is 363 mph, and the speed of the second train is 356.1 mph.

Answer:

a.  He started with $50 in the the account.

b.  The account grow by $10 dollars each week

c see graph

Step-by-step explanation:

y = 50 + 10x

We can rewrite this as

y = 10x+50

This is in the form y = mx+b

where m = 10 which is the slope and b =50 which is the y intercept

The y intercept = 50 is the starting value or the value when x = 0

a.  He started with $50 in the the account.

The slope is how much it grows by as x grows.  As x increase by 1 , y will grow by the slope or 10, so  the account will grow by 10 each week.

b.  The account grow by $10 dollars each week

c see graph

Hi There!

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Problem #1:

At the dealership where she works, Sade fulfilled 3/10 of her quarterly sales goal in January and another 1/10 of her sales goal in February. What fraction of her quarterly sales goal had Sade reached by the end of February?

3/10 + 1/10 = 4/10

4/10 of her goal.

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Problem #2:

Shane has been monitoring his mileage. According to last week's driving log, he drove 1/10 of a mile in his car and 9/10 of a mile in his truck. How far did Shane drive last week in all?

1/10 + 9/10 = 10/10 = 1

Shane drove 1 mile.

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Problem #3:

For a class experiment, Vina's class weighed a log before and after subjecting it to termites. Before subjecting it to termites, the log weighed 7/10 of a pound. After the termites, the log weighed 3/10 of a pound. How much weight did the termites take from the log?

7/10 - 3/10 = 4/10

The termites took 4/10 pound away from the log.

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Hope This Helps :)

Answer:

I am pretty sure your answer is n because of the font i think.

Answer:

I believe the correct answer would be A. N.

Step-by-step explanation:

For two reasons. Reason 1, it's in a different font than everything else which indicates that it stands for something more than just the letter N. Reason two is, letters are usually used to indicate names of points on graphs, and in equations.

Answer: choice B 12 cm^2

A = (1/2)*b*h

A = 0.5*b*h <---- 1/2 is the same as 0.5

A = 0.5*4*6 <---- replace b with 4; h with 6

A = 2*6

A = 12

Alternatively, you can multiply the base and height to get 24, then cut that in half to get 12.

Answer:

m = [tex]\frac{3n}{4}[/tex]

Step-by-step explanation:

given 4m + 2n = 5n ( subtract 2n from both sides )

4m = 3n ( divide both sides by 4 )

m = [tex]\frac{3n}{4}[/tex]

Answer:

m = 3/4 n

Step-by-step explanation:

4m+2n=5n

Subtract 2n from each side

4m +2n-2n = 5n-2n

4m = 3n

Divide by 4

4m/4 = 3n/4

m = 3/4 n

Answer:

well you would need to look at how much he gets a weekend, and then worry anout the tips.

Step-by-step explanation:

He gets paid $80 each weekend, and a 15% with tips.

you would need to figure out the tips, by taking the $725 and timesing it by .15 for the percent.

which would be 108.75

you would now take 108.75 and add 80 to get what he made that weekend.

108.75+80 = 188.75 dollars

Answer:

f = 0.30(x)

Step-by-step explanation:

Let x = # of dollars

Let f = final amount

Note that 30% is the same as 30/100, which in decimal form is 0.30

Set the equation.

Each pair of shoes costs x amount, in which it is decreased by 30%, which leads to the cost in f amount.

~

Answer:

C. about 17 feet

Step-by-step explanation:

Since, we know that,

The area of a square is,

[tex]A=s^2[/tex]

Where,

s = side length,

If A = 290 square feet,

[tex]\implies 290 = s^2[/tex]

[tex]\implies s = \sqrt{290}=17.0294\approx 17[/tex]

Hence, the side length of the patio would be about 17 ft,

OPTION C is correct.

Answer: x = 5

Step-by-step explanation:

NOTE: 343 = 3 * 3 * 3 * 3 * 3

3ˣ = 3⁵

Since the bases are the same, we can eliminate the base and set the exponents equal to each other:

x = 5

Answer:

[tex]3^{5}[/tex]

Step-by-step explanation:

3 × 3 × 3 × 3 × 3 = 243

Answer:

5v

Step-by-step explanation:

First you convert all the subtraction to addition: 2v+8v+(-5v)

Then you combine like terms: 2v+3v:

5v

2v + 8v - 5v    combine like terms

= (2 + 8 - 5)v

= (10 - 5)v

= 5v

Answer:

x = 2

Step-by-step explanation:

When 2 secants are drawn from an external point to a circle the following theorem applies

outside × whole = outside × whole, that is

(x + 1)(x + 1 + 11) = (x + 4)(x + 4 + 1) ← simplify

(x + 1)(x + 12) = (x + 4)(x + 5) ← expand factors on both sides

x² + 13x + 12 = x² + 9x + 20 ( subtract x² from both sides )

13x + 12 = 9x + 20 ( subtract 9x from both sides )

4x + 12 = 20 ( subtract 12 from both sides )

4x = 8 ( divide both sides by 4 )

x = 2