What is the completely factored form of x4 + 8x2 – 9?
(x + 1)(x – 1)(x + 3)(x + 3)
(x + 1) (x minus 1) (x squared + 9)
(x2 – 1)(x + 3)(x – 3)
(x + 1)(x + 1)(x + 3)(x + 3)

Answer:

x = 16/3, y = -1/9

Step-by-step explanation:

4x + 1 = 5(x-3y) - 6

3(x+6y) + 4 = 9y + 19

Simplify both equations

4x + 1 = 5x-15y - 6

-x + 15y = -7

3x + 18y + 4 = 9y + 19

3x + 9y = 15

Now multiply 3 on both sides for the first equation.

(easier for adding both equations)

-3x + 45y = -21

3x + 9y = 15

Add both equations

x cancels out

54 y = -6

y = -1/9

plug in to other equation

3x + 9y = 15

3x - 1 = 15

3x = 16

x = 16/3

→ Perimeter = 2( Length + Width)

→34 = 2x + 2(4x-3)

→34 = 2x + 8x - 6

→34 = 10x -6

→10x = 34 +6

→10 x = 40

→x = 40/10

→x = 4

Hope this helped you!

Answer:

y=2

Step-by-step explanation:

Hey there!

The answer is y=2 because the x-axis is not defined (there's no value for it as the line didn't pass through it)

Answer:

-2

Step-by-step explanation:

Since 12 is more

12 - 14

-2

The measure of the length of the dotted line is 3.75 inches. Then the correct option is B.

The hexagon is a 2D geometry that has a 6 number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

The perimeter of the hexagon is 7.5 inches.

Then the length of the hexagon will be

[tex]\rm 7.5 = 6x\\\\x \ \ = 1.25[/tex]

The length of the hexagon is 1.25 inches.

Then the diagonal length of the hexagon will be

y = 2 × 1.25

y = 2.5

The diagonal length of the hexagon is 2.5 inches.

Then the length of the dotted line is 3.75 inches.

More about the hexagon link is given below.

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Answer:

4x - 4

Step-by-step explanation:

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

: 4(x + 5) = 9x + 4x − 34

Combine Like Terms:

- 4x + 20 = 9x + 4x − 34

- 4x + 20 = 13x − 34

Subtract 20 from both sides:

- 4x + 20-20 = 13x − 34-20

Subtract The numbers:

= 4x = 13x - 54

Subtract 13x from both sides:

= 4x-13x = 13x - 54-13x

Combine Like terms:

- 9x = -54

Divide both sides by the same factor:

-9x / -9 = -54 / -9

Cancel terms that are in both the numerator and denominator:

x = -54/-9

Divide the Numbers:

x = 6

Answer:

part b)

increasing: hour 1

constant: hours  2 and 4

decreasing: hours 3 and 5

part c)

non-linear

Step-by-step explanation:

The expected value is 50 then Carmen’s prediction is low because 200 times one-fourth is 50. Then the correct option is B.

Expectation can be taken as a weighted mean, weights being the probability of occurrence of that specific observation.

Thus, if the random variable is X, and its probability mass function is given as

[tex]E(X) = \sum_{i=1}^n( f(x_i) \times x_i)[/tex]

(n is the number of values X takes)

Carmen is going to roll an 8-sided die 200 times.

She predicts that she will roll a multiple of 4 twenty-five times.

The sample will be

Total event = 8 {1, 2, 3, 4, 5, 6, 7, 8}

Then the favorable event will be to roll an 8-sided die and get a multiple of 4. Then we have

Favorable event = 2 {4, 8}

Then the probability will be

[tex]\rm P = \dfrac{2}{8} = \dfrac{1}{4}[/tex]

A dice is rolled 200 times, then by the binomial theorem we have the expected value will be

[tex]E(x) = nP = 200 \times \dfrac{1}{4} = 50[/tex]

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Answer:

B

Step-by-step explanation:

1) The mean of set A is larger than the mean of set B.

2)The median of set A is larger than the median of set B.

A = {10, 12, 12, 6, 8, 5, 4, 10, 8, 10, 12, 12, 6}

B = {8, 8, 8, 7, 9, 7, 9, 10, 6, 8}

Mean is the ratio of the sum to the total number of observations.

Mean of set A = 115/13

Mean of set B =80/10 =8

So, the mean of set A is larger than the mean of set B.

Arranging both the sets in ascending order

A = {4, 5, 6, 6, 8, 8, 10, 10, 10 12, 12, 12, 12 }

Median of set A = middle term = 7th term = 10

Similarly, the median of set B =8

So, the median of set A is larger than the median of set B.

Thus, 1) The mean of set A is larger than the mean of set B.

2)The median of set A is larger than the median of set B.

Answer:

B D E

Step-by-step explanation:

I took the assignment and these are right. :)

Answer:

a^2 +b^2= c^2

Step-by-step explanation:

to prove that a triangle have right angles triangle you have to use the Pythagoras theorem

Answer:

108

Step-by-step explanation:

Para planificar su cosecha y garantizar una buena ganancia, Guillerno necesita utilizar la ecuación de utilidad.

En un negocio, la utilidad se refiere a la ganancia neta de una empresa o la diferencia entre el total de dinero que se gana y los gastos o inversión.

La utilidad se calcula a partir de la siguiente ecuación:

Esta ecuación requiere saber los posibles costos y los ingresos totales para calcular la utilidad de un producto y así mismo planear la cantidad del producto a vender.

Nota: Esta pregunta está incompleta porque no hay información sobre los costos, posbiles ganancias, etc. de Guillermo. Debido a lo anterior, la respuesta se basa en conocimiento general.

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Answer:

x=30

Step-by-step explanation:

you would call those alternate exterior angles meaning that they are the same angle, so all you have to do is reverse the equation meaning you do 75-15=60 and you would then divide by 2 to get X so 60/2=30, so x=30

Answer:

x = 30

Step-by-step explanation:

2x+15 should be vertical to angle 5

75 is vertical to angle 4.

If we were to look at angles 4 and 5 those are alternate interior which means they have to be congruent.

2x+15=75

2x=75-15

2x=60

x=30

Answer:

y = -1x + 3 or y = -x + 3 (**That is the last option which is D**)

Step-by-step explanation:

You need to do slope-intercept formula and the slope formula.

The Slope-Intercept Formula: y=mx+b

The Slope Formula: y2 - y1 / x2-x1

Your coordinates:

(-1,4) and (1,2)

2 - 4/1- (-1)

-2/2

Simplified is -1

Your "m" in the slope-intercept formula is -1

Formula: y=-1x + b

Now, you need to find the Y-Intercept which is the "b"

Using our slope-intercept formula, you need to plug in "x1" and "y1"

4 = -1(-1) + b

4 = 1 +b

4-1 = b

3 = b

So your equation is:

y = -1x + 3 or y = -x + 3

Answer:

the answer is 28 minutes

Answer:

Mean: (1.5+3.8+1.3+1.6+2.9+1.4+0.9+2.3+8.4+1.3)/10 = 2.54

Lowest Number: :: 2.54 - 0.9 = 1.64 million less than mean

Highest number: :: 8.4 - 2.54 =  5.86 million more than mean mean

Answer:

Step-by-step explanation:

He may or not be correct. It depends on the profit you make on each sundae cup compared with the profit on the other treat.  The other treat  might give a higher profit.

Omar is correct since if 50% of the

Profit is defined as the amount gained by a person or business.

Profit = Total Revenues - Total cost

Given that,

you and Omar are talking about which two frozen treats would be best to sell.

Omar claims that because 50% of the frozen treats sold in Week 1 were sundae cups, the sundae cups accounted for 50 % of the profit.

Total number of the frozen treats = 100%

If 50% of the frozen treats sold in Week 1 were sundae cups, then the profit of the frozen treats will be 50% of the total which came from sundae cups.

Hence Omar is correct.

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Answer:

Math class ends at 10:35 AM.

Step-by-step explanation:

To find the answer, you need to add 40 minutes to the timestamp if 9:55 AM. There are 60 minutes in an hour, so you add five minutes to get to 10:00. 40-5=35. Now add 35 minutes to 10:00. The answer is 10:35 AM.

Answer:

The answer is 10:35 AM.

Step-by-step explanation:

Here, we know that in one hour there's 60 minutes.

1 hour = 60 minutes.

So, add 40 minutes in 9:55

9:55 + 40 minutes = 10:35 AM

Thus, Mr Gleasons math class will end at 10:35 AM.

The factor of the given polynomial 4x^2 + 23x – 72 would be equal to (4x - 9) (x + 8).

Polynomials are those algebraic expressions that consist of variables, coefficients, and constants. The standard form of polynomials has mathematical operations such as addition, subtraction, and multiplication.

The given polynomial expression

[tex]4x^2 + 23x - 72[/tex]

We factor in the highest common denominator of each group.

[tex]4x^2 + (-9+32)x - 72[/tex]

[tex]4x^2+9x-32x - 72[/tex]

[tex](4x-9)x+8(4x-9)[/tex]

Finally, the factored expression is

(4x - 9) (x + 8)

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The domain of the function is [-5,0) and the range of the function y = startroot x 5 endroot is [0,∞)

Range of a function is the set of all the possible output values which are valid for that function.

The function given in the problem is,

[tex]y=\sqrt{x+5}[/tex]

This function is defined when the value of √(x+5) is greater than or equal to 0.

[tex]\sqrt{x+5}\ge0[/tex]

Solve it further,

[tex]\sqrt{x+5}\ge0\\(x+5)\ge0\\x\ge-5[/tex]

Thus, the domain of the equation is [-5,0). Now for the range,

[tex]x+5\ge0\\\sqrt{x+5}\ge0\\y\ge0[/tex]

Thus the range is  [0,∞).

Hence, the domain of the function is [-5,0) and the range of the function y = startroot x 5 endroot is [0,∞)

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Answer:

can u show a more clear picture or tell me the numbers on it

The mean teaching year for all 218 teachers at High School A is 7.73 if the teaching year is recorded as an integer, with first-year teachers recorded as 1, second-year teachers recorded as 2, and so on.

It is defined as the numerical data representation in the graph with the help of a bar without space. The histogram gives an idea about the data's approximate distribution.

We have two histograms representing the teaching year with frequency.

From the first histogram the two reactangles represents = 45+48 = 93

From the second hisogram = 79+34 = 113

Median divided into two equal parts.

From the data:

The first graph has 200 points

The second graph has 221 points

The first graph median should be near the 100th data point

The second graph median should be the 111th data point

We obtain 93 from rectangles on a, which is less than 100, and these two rectangles include 1-4 and 4-7 (not including?) As a result, we might argue that this data covers 1-6.

We clearly need more values after we reach the medians, thus we must include the following interval. As a result, in a medium, 7 should be used.

The same reasoning applies to b), where the first two rectangles yield 113 and the median is the 111th datum point. We don't need to add these two rectangles because it includes them. So, for this median, the next interval (7-10) must be 6.

For part (b):

Mean of 18 = 2.5

= 2.5×18 ⇒ 45

Mean of 200 = 8.2

= 200×8.2 ⇒ 1640

New mean = Total/number of observation

= (45+1640)/(200+18)

= 1685/218

= 7.729

= 7.73

Thus, the mean teaching year for all 218 teachers at High School A is 7.73 if the teaching year is recorded as an integer, with first-year teachers recorded as 1, second-year teachers recorded as 2, and so on.

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Answer:

8x

Step-by-step explanation:

To do this we simply add the coefficients of x to give us our answer:

3 + 5 = 8

So our answer is 8x

One way to put this into perspective is to imagine x is the number of apples:

If you add 3 apples and 5 apples you get 8 apples.

Always do this trick when collecting like terms in algebra.

Answer:

400 boys : 200 girls

Step-by-step explanation:

Answer:

The answer is: 3.48%

Step-by-step explanation:

Answer :

R = 3.48%

interset rate

Answer:

x = -6

Step-by-step explanation:

3x + 17 = -2x - 13

==> add 2x to both sides

5x + 17 = - 13

==> subtract 17 from both sides

5x = -30

==> divide both sides by 5

x = -6