obtain all the zeros of the polynomial f[x]=x^4-3x^2-x^2+9x-6 if two of its zeros are-√3 and√3

Answer:if you double all of the dimensions of a rectangular prism, you create a similar prism with a scale factor of 2. The surface area of the similar prism will increase as the square of the scale factor (22 = 4) and the volume will increase as the cube of the scale factor (23 = 8).

Step-by-step explanation:

Scale factor are used to increase or diminish the original figrure. The new volume will be 8times larger than the initial volum

Scale factor are used to increase or diminish the original figrure.

Assume the original dimension of the figure is a, b and c, the volume of te figure will be expresed as:

A = length * width * heiht

A = abc

If the measure of the sides are doubled, hence;

New volume = 2a * 2b * 2c

New volume = 8abc

Ratio = 8abc/abc
Ratio = 8

Hence the new volume will be 8times larger than the initial volume

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Answer:

7x=42

Solve:

7x=42

7x=42/7

/7

x = 6

6 is the maximum cost lisa can spend for each party favor bag.

Answer:

C. [tex]c = \frac{-7+-\sqrt{129} }{8}[/tex]

Step-by-step explanation:

Before we start, you can think of the variable "c," as x.

The quadratic formula/equation is:

[tex]x = \frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]

The setup is:

[tex]ax^2+bx+c=0[/tex]

[tex]4c^2+7c-5=0[/tex]

Plug in the numbers accordingly to the letter associated, like so:

[tex]x = \frac{-7+-\sqrt{7^2-4(4)(-5)} }{2(4)}[/tex]

[tex]x = \frac{-7+-\sqrt{49+80} }{8}[/tex]

[tex]x = \frac{-7+-\sqrt{129} }{8}[/tex]

So the right answer is 5/6.

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

[tex] \frac{5}{6} [/tex]

Step-by-step explanation:

[tex] \frac{1}{2} + \frac{2}{6} \\ \frac{6 + 4}{6 \times 2} \\ \frac{10}{12} \frac{ \div 2}{ \div 2} \\ = \frac{5}{6} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

B

Step-by-step explanation:

175 is the yearly cost which is the constant

The cost is related to the miles so that’s why they’re multiplied together

The total amount of reimbursement the company offers will be C = 0.45x + 175. Then the correct option is B.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Joseph's company offers a reimbursement package of $0.45 per mile plus $175 a year for maintenance.

Let 'x' be the number of miles and 'C' be the number total amount. Then the equation of the line is given as,

C = 0.45x + 175

The total amount of reimbursement the company offers will be C = 0.45x + 175. Then the correct option is B.

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Answer:

g(3)=9

Step-by-step explanation:

We want to find what g(x), or y is, when x is equal to 3.

Therefore, we can substitute 3 in for x in the equation

g(x)=x^2

g(3)=3^2

Evaluate the exponent

g(3)=3*3

g(3)=9

Interest formula: A = Pe^rt

A = amount

P = principal amount

r = interest rate

t = time

We know that in the question we have:

P = 8,000

r = 0.019

t = 6

Now, solve with the given values:

A = 8000e^(0.019*6)

A = 8000e^(0.114)

A = 8966.016...

Round to the nearest hundredth:

8966.016... → 8,966.02

Therefore, the answer is [ $8,966.02 ]

Best of Luck!

Answer:

$8,966.02

Step-by-step explanation:

Amount = 8000 × e^(6 × 1.9/100)

Amount = 8000 × e^0.114

Amount = 8966.016999

Answer:

d

Step-by-step explanation:

Answer:

40°

Step-by-step explanation:

complementary angels makes the sum of two angles = 90°

so

<ABC + < CBD = 90°

if <ABC = 50°

then 90° - 50° = 40°

Answer:

A)

400+3x+5000=12x

5400 = 9x

x =600

B)

Profit: zero (break even)

Total cost or Income from 600 Sales: $7200

Answer:

y > -4

Step-by-step explanation:

−2y<8

Divide each side by -2, remembering to flip the inequality since we are dividing by a negative

-2y/-2 > 8/-2

y > -4

Answer:

Last option

y > -4

Step-by-step explanation:

-2y < 8

Switch sides

-8 < 2y

-4 < y

Or

y > -4

Answer:

B

Step-by-step explanation:

Answer:

q > 27/61

Step-by-step explanation:

50q + 43 > -11q +70

Add 11 q to each side

50q+11q + 43 > -11q+11q +70

61q +43 > 70

Subtract 43 from each side

61q+43-43 > 70-43

61q > 27

Divide each side by 61

61q/61 >27/61

q > 27/61

Answer:

q > 27/61

Step-by-step explanation:

hope this helps!!

Answer:

Its b got it correct

The total monthly mortgage payment for the house is $975.63

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

The principle amount is $175000

80% of 175000 is =  = $140000

20% of 175000 is =  = $35000

Emi formula is :

p*r*(1-r)^n/(1-r)^n-1

For 1st part:

p = 140000

r = 4.75/12/100=0.00395

n = 360

Putting values in formula we get

= $729.508

For 2nd part:

p = 35000

r = 7.525/12/100=0.00627

n = 360

Putting values in formula we get

= $245.301

Adding both the monthly payments:

974.809 dollars

This is closest to option A.

So, option A is the answer.

And for 30 years the mortgage payment will be = 351226.80 dollars

Hence, The total monthly mortgage payment for the house is $975.63.

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Answer:

A) 4ab^2

Step-by-step explanation:

19*4 = 76

(a^2*b^3)/(a*b) = a*b^2

Implies, option A.

Answer:

a. 0

Step-by-step explanation:

hope this helps!

The solutions to the equation n³+3n²+n-33=0 are n=-11, n=-3, and n=1.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Given that, 9/(n²+1) = (n+3)/4.

Here, 9×4=(n²+1)×(n+3)

36=n²(n+3)+1(n+3)

36=n³+3n²+n+3

n³+3n²+n+3-36=0

n³+3n²+n-33=0

The equation n³+3n²+n-33=0 can be solved by factoring. The factors of -33 are -1 and 33. Since the coefficient of the n³ term is 1, this means that n-1 and n+33 are factors of the equation.

Dividing both sides of the equation by n-1, we get:

n²+3n+33/(n-1)=0

Factorizing the numerator, we get:

(n+11)(n+3)=0

Solving this equation, we get n=-11 and n=-3.

Therefore, the solutions to the equation n³+3n²+n-33=0 are n=-11, n=-3, and n=1.

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Answer:

#3    1/2

Step-by-step explanation:

if you start where the line and the boxes in the graph line up like at (0,-2) and then you go up 1 and right 2 the line will be there again line up with the boxes and since slope is rise/run it is 1/2

Answer:

26

Step-by-step explanation:

I subtracted DF and DE to find the missing difference for the segment EF. I'm not sure if this is correct though. I hope it helps.

The length of line segment EF is 26.

A line segment is a subset of a line which has two endpoints.

A ray has one end point and extends indefinitely on the other direction.

A line extends indefinitely on both of it's directions.

From the given data

Line segment DF has a length 38 and line segment DE has a length 12.

To find the length of line segment EF we have to subtract the length of line segment DE from length segment DF.

∴ EF = DF - DE

  EF = 38 - 12'

  EF = 26.

So, the line segment EF has a length of 26.

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Answer:

3.5

Step-by-step explanation:

1 / 3

First, let's find the mean.

\dfrac{26+31+39+32}{4} = \dfrac{128}{4}= \blueD{32} \text{ putts}  

4

26+31+39+32

​  

=  

4

128

​  

=32 puttsstart fraction, 26, plus, 31, plus, 39, plus, 32, divided by, 4, end fraction, equals, start fraction, 128, divided by, 4, end fraction, equals, start color #11accd, 32, end color #11accd, start text, space, p, u, t, t, s, end text

Hint #22 / 3

Next, let's find the distance each data point is from the mean.

Data point Distance from the mean

262626 \blueD{32}-26 = 632−26=6start color #11accd, 32, end color #11accd, minus, 26, equals, 6

313131 \blueD{32}-31 = 132−31=1start color #11accd, 32, end color #11accd, minus, 31, equals, 1

393939 39-\blueD{32} = 739−32=739, minus, start color #11accd, 32, end color #11accd, equals, 7

323232 32-\blueD{32} = 032−32=032, minus, start color #11accd, 32, end color #11accd, equals, 0

Hint #33 / 3

The mean absolute deviation (MAD) is the mean of the distances from the mean.

\dfrac{6+1+7+0}{4} = \dfrac{14}{4}= 3.5\text{ putts}  

4

6+1+7+0

​  

=  

4

14

​  

=3.5 putts  I hope it helps.

Answer:10x^2+11xy-6y^2

Step-by-step explanation:

( 2 x + 3 y ) ( 5 x − 2 y )  = 2 x ( 5 x − 2 y ) + 3 y ( 5 x − 2 y )

= 10 x 2 − 4 x y + 15 x y − 6y 2

= 10 x 2 + 11 x y -6 y 2 .

Multiply both sides by 9.

x/9 = 3

(x/9) * (9) = (3) * (9)

x=27

The solution of the expression x/9 = 3 is,

⇒ x = 27

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

The expression is,

⇒ x/9 = 3

Now, Simplify the expression as;

⇒ x/9 = 3

Multiply by 9, we get;

⇒ 9 × x/9 = 9 × 3

⇒ x = 27

Thus, The solution is,

⇒ x = 27

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Answer:

[tex]{f}^{ - 1}(x) = \frac{x + 11}{ - 5} [/tex]

Step-by-step explanation:

[tex]f(x) = - 5x - 11 \\ - 5x - 11 =x \\ - 5x = x + 11 \\ {f}^{ - 1}(x) = \frac{x + 11}{ - 5} [/tex]

Answer:

the answer for the volume of the cylinder is V≈25.13in³

Answer:

h=2         d=4  

r=4/2  , radius is half of the diameter

r=2

V=π  r^2h

V= π x (2)²×2

substitute variables into formula V=25.132741228718

the nearest tenths place V=25.1 inches

Mean: 10.5

Median: 10.5

Range: 5

--------------------------------------------

To find the mean you order the numbers then add then divide.

Add

8+9+10+10+10+11+11+11+12+13=105

Divide

105÷10=10.5

Mean = 10.5

--------------------------------------------

Finding the median essentially involves finding the value in a data sample that has a physical location between the rest of the numbers.

Find the middle number. Put your left finger on 8 and your right finger on 13. Move your left finger to the right to 10 and move your right finger to 11.

the middle number is 10.5 so therefore it is the median.

--------------------------------------------

To find the range you subtract the biggest number to the smallest number.

Subtract

13-8=5

Therefore 5 is the range

Answer:

The median is 10.5 the range is 5 and the mean is 10.5

Step-by-step explanation:

To find the median you have to cross out each number till you get 2 since there are 10 numbers together then add 10 and 11 and get 21 divide by 2 which gives you 10.5 to find the mean add all the numbers then divide 105 by 10 and get 10.5 to find the range take 13-8 and get 5

The rectangle is 28×34 and the two triangles are (1/2) 11 (28) and (1/2) (9)(34)

A = 28(34) +  (1/2) 11 (28) + (1/2) (9)(34)

A = 1259

Answer: 1259 sq units

Answer:

1. 45 megabytes

2. 50 megabytes

Step-by-step explanation:

Given

S(t) = 5t + 45

Required

Find S(t) when the transfer began

And find the additional transfer size at interval of 10 seconds

When the file transfer initially began, the value of t is 0.

Given that S(t)=5t+45.

Substitute 0 for t

S(0)=5 * 0 + 45

S(0) = 0 + 45

S(0) = 45.

Hence, the hard drive had 45 megabytes on it when the transfer started.

At every interval of 10 seconds. We take t to be 10, 20, 30...seconds

When t = 10

S(t)=5t+45 becomes

S(10) = 5(10) + 45

S(10) = 50 + 45

S(10) = 95 megabytes

When t = 20

S(t)=5t+45 becomes

S(20) = 5(20) + 45

S(20) = 100 + 45

S(20) = 145 megabytes

When t = 30

S(t)=5t+45 becomes

S(30) = 5(30) + 45

S(30) = 150 + 45

S(30) = 195 megabytes

Calculating the difference

Difference = S(30) - S(20) or S(20) - S(10)

Difference = 195 - 145 or 145 - 95

Difference = 50 or 50

See that the difference is the same.

So, at every 10 seconds interval, there's an additional 50 megabytes transferred

Answer:

The difference between the number of expected outcomes and the number of actual outcomes = 5

Step-by-step explanation:

She tosses a two sided counter and spins a spinner with six equal sized sections numbered 1 to 6.

Probability of the counter landing on either of the two sides is exactly = (1/2)

Probability of the counter landing on the red side = (1/2)

Probability of the spinner landing in a region greater than 3 = Probability of the spinner landing in a region of 4, 5 or 6. = (3/6) = (1/2)

In one toss and spin, the probability of a toss landing on red and the spinner landing on a number greater than 3 = p = (1/2)×(1/2)

p = (1/4)

Expected number of times that a toss will land on a red and a spinner will land on a number greater than 3 in 80 trials

= np = 80 × (1/4) = 20

Number of actual times that the toss lands on a red and a spinner lands on a number greater than 3 in 80 trials = 25

The difference between the number of expected outcomes and the number of actual outcomes = 25 - 20 = 5

Hope this Helps!!!

Answer:

C. Fair Credit Billing Act

Step-by-step explanation:PLATO