One factor of f (x ) = 4 x cubed minus 4 x squared minus 16 x + 16 is (x – 2). What are all the roots of the function? Use the Remainder Theorem.

The class spends $1436.4 per year on pizza. Since the population grows x² in one year, the strength of the class on the last day of the year is 12² = 144.

It is given that,

The current population of the classroom is 12. I.e., x = 12

So, at the end of the year, the population of the class = x²

⇒ 12² = 144

Thus, the population of the classroom on the end day of the year is 144.

It is given that,

On the last day of the year, each person in the classroom eats 3 slices of pizza.

So, 144 persons eat,

144 × 3 = 432 slices of pizza

Thus, 432 slices of pizza are required for the given population.

It is given that,

A single pizza has 8 slices and every single pizza costs $26.60.

Since there are 432 slices, then the number of pizzas

= 432/8

= 54 pizzas

Then, the cost of 54 pizza's = 54 × $26.60 = $1436.4

Therefore, $1436.4 was spent on pizza per year.

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The equation of the parabola described by means of its vertex in the task content is; y = x² -25.

It follows from the task content that the equation of the the parabola can be determined from.its vertex.

Hence, the equation of the parabola from by virtue by virtue big the vertex given is;

y = (x-0)² -25

Hence, it follows that the equation of the parabola is;

y = x² -25.

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Based on the given coordinates of the quadrilateral ABCD, the slopes of the lines given at:

The slope of AB is:

= (3 - (-4)) / (-4 - 0)

= -7/4

The slope of BC:

= (4 - 3) / (3 - (-4))

= 1/7

The slope of CD:

= (-1 - 4) / (6 - 3)

= -5/3

The slope of AD:

= (-1 - (-4)) / (6 - 0)

= 1/2

The rest of the question is:

The slope of AB ¯ ¯ ¯ ¯ ¯ is , the slope of BC ¯ ¯ ¯ ¯ ¯ is , the slope of CD ¯ ¯ ¯ ¯ ¯ is , and the slope of AD ¯ ¯ ¯ ¯ ¯.

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Answer:

yo si apenas me lo descargue

Answer:

- Please see the attached picture for full solution!:)

--------------- HappY LearninG <3 ------------

Answer:

uhhh i think its a carrot

Step-by-step explanation:

Answer:

2.10

Step-by-step explanation:

# of large ice creams: 240/3 = 80

# of small ice creams: 240 - 80 = 160

Total large ice cream cost: 80*3.8 = 304

Total small ice cream cost: 640 - 304 = 336

Cost of one small ice cream: 336/160 = 2.1

Answer:

  B, D

Step-by-step explanation:

Any inequality that does not include the "or equal to" case will be graphed with a dashed line.

The "or equal to" case is included when the inequality symbol is one of ≤ or ≥. When symbols > or < are used, the boundary line of the solution space is dashed (or the end point on the number line is an open circle).

The inequalities that will be graphed with a dashed line are ...

The reciprocal relationship of the graph is graph (a)

The reciprocal relationship implies that:

The x and the y axes are swapped.

When the x and the y axes are swapped, the value on both axes swap their positions

As per the given graph, the reciprocal relationship is represented by graph (a)

This is shown in the attached graph

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Answer:

i need help

Step-by-step explanation:

Based on the triangle midpoint theorem, the statement which must be shown is that: B. the length of GH is half the length of KL.

Triangle midpoint theorem states that the line segment which joins the midpoints of two (2) sides of a triangle is parallel to the third side, and it's congruent to one-half of the third side.

Based on the triangle midpoint theorem, we can infer and logically deduce that the statement which must be shown is that the length of GH is half the length of KL.

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Answer:  B. The length of GH is half the length of KL.

Step-by-step explanation:   TRUST ME!  The answer is correct on Edge.  :)

Answer:

5/8 fraction of kids are girls

The percentage of households in the town with internet access is estimates as 47.8%, give or take 2.2% or so.

According to statement we have given

239 of the 500 households in the sample had internet access.

So, find sample percentage then

Sample percentage= 500/239 =0.478=47.8%

Thus we estimate the percentage as 47.8%.

The box contains 25,000 tickets of which 47.8% are 1's and the remaining 52.2% tickets are 0's. We will draw 500 tickets from the box.

Number of draws=500

Now, find the SD then

[tex]SD= (Big number - Small number) * \sqrt{Fraction with big number * fraction with small number}[/tex]

Substitute the values then

[tex]SD= (1 - 0) * \sqrt{0.478 *0.522}[/tex]

[tex]SD=0.4995[/tex]

Now find the standard error of sum then

The standard error of the sum is the product of the square root of the number of draws and the standard deviation of the box.

[tex]SE sum =\sqrt{Number of draws} * SD box[/tex]

[tex]SE sum =\sqrt{500} * 0.4995[/tex]

[tex]SE sum =11.16[/tex]

Now find the standard error of percentage then

The standard error of the percentage is the standard error for the sum divided by the sample size.

SE percentage= SE for number/Number of draws ×100%

= 50011.1692×100%

≈0.022×100%

=2.2%

​

Thus the percentage of households in the town with internet access is estimates as 47.8%, give or take 2.2% or so.

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The equation that represents the graph is g(x) = |x – 1| + 3. Then the correct option is C.

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

The graph is shown.

In the graph, the mode function is given.

If the subtracts 1 from the variable then the function gets shifted toward the right and if 3 is added to the function then it gets shifted upwards.

Then the correct equation that represents the graph is g(x) = |x – 1| + 3.

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Answer:

Step-by-step explanation:

The equation that represents the graph is g(x) = |x – 1| + 3. Then the correct option is C.

What is a function?

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

The graph is shown.

In the graph, the mode function is given.

If the subtract 1 from the variable then the function gets shifted toward the right and if 3 is added to the function then it gets shifted upwards.

Then the correct equation that represents the graph is g(x) = |x – 1| + 3.

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The answer to all of them is yes.

6) The lengths of AB and CD using the distance formula. (because congruent segments have equal length)

7) The slopes of AB and CD are equal using the slope formula. (because parallel segments have equal slopesL

8) The slopes of AB and CD are negative reciprocals using the slope formula. (because perpendicular lines have slopes that are negative reciprocals)

9) The two segments that CD is split into by AB have equal length using the distance formula. (because a segment bisector splits a segment into two congruent segments, and congruent segments have equal length)

10) Angles CAB and DAB have the same measure using the angle between two lines formula. (Because an angle bisector splits an angle into two congruent angles, and congruent angles have equal measure)

11) Angles A and B have the same measure using the angle between two lines formula. (Because an angle bisector splits an angle into two congruent angles, and congruent angles have equal measure)

12) The lines that form angle A have slopes that are negative reciprocals using the slope formula. (because perpendicular lines have slopes that are negative reciprocals, and perpendicular lines form right angles)

13) The lengths of AB and AC combined equal the length of AC using the distance formula.

14) Two sides of triangle ABC have equal length using the distance formula.

15) All four sides of ABCD have the same length using the distance formula.

16) Letting AB and CD meet at E, the distance formula says AE=BE and CE=DE.

The test static value is 1.44 and its associated p-value is 0.1335.

Given that the problem deals with the concept of test for single proportion. The parameter of the interest is the population proportion of graduates with GPA of 3.00 or below is less than 0.09.

Let the population proportion be p=0.09.

Let the number of graduates in a sample be n=260.

Let the number of students have a GPA of 3.00 or below be x=20.

Based on the known data, the null and alternative hypothesis are,

H₀:p≥0.09

H₁:p<0.09

The sample proportion of students have a GPA of 3.00 or below is,

[tex]\begin{aligned}\hat{p}&=\frac{x}{n}\\ &=\frac{20}{260}\\ &=0.07\end[/tex]

Under the null hypothesis, the test static value is,

[tex]\begin{aligned}z&=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}\\ &=\frac{0.07-0.09}{\sqrt{\frac{0.09(1-0.09)}{260}}}\\ &=\frac{-0.02}{0.018}\\ &=-1.11\end[/tex]

The p-value for the left-tailed test is

p-value=p(z<-1.11)

p-value=0.1335

Hence, the value of the test statistic and its associated p-value for the proportion of graduates with a GPA of 3.00 or below is less than 0.09. are 1.44 and 0.1335.

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Answer:  D, B, C, A

Step-by-step explanation:

A: [tex]4^5 = 1024[/tex]

B: [tex]6^2=36[/tex]

C: [tex]5^3=125[/tex]

D: [tex]9[/tex]

D, B, C, A

The graphs to use are box plots, histogram and dot plots

From the question, the most important factors are:

Using the box plots, histogram and dot plots, one would see the shape and the spread.

While the stem and leaf plot would show specific data values

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The sum of measures of angles A and B is 90°

Hence the angles are complementary

The price of an adult ticket is 12$.

And the price of a student ticket is 9$.

Let ‘x’ be the price of an adult ticket.

Let ‘y’ be the price of a student ticket.

On the first day of ticket sales, the school sold 14 adult tickets and 3 student tickets for a total of $195 i.e

14x + 3y = 195$    i)

15x + 14y = 306$   ii)

from equation i) we get the value of y,

y = (195 - 14x)/3

put this value of y in equation ii) we get,

= 15x +14{(195 - 14x)/3} = 306

= (45x +2730 - 196x)/3 = 306

= (45x +2730 - 196x) = 918

= -151x = -1812

= x =12$

then value of y we get ,

put value of x in y,

y = (195 - 14*12)/3

= 27/3

= 9$

hence, the price of an adult ticket is 12$.

And the price of a student ticket is 9$.

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The place where the gym is located based on the information given about the coordinate plane is D. 15th Street and 14th Avenue

From the information given, the coordinate plane is labeled Street on the x-axis and Avenue on the y-axis. Ping is at point (3, 6) and Ari is at point (21, 18) and a line is drawn from Ping to Ari.

In this case, the place where the gym is located based on the information given about the coordinate plane is the 15th Street and 14th Avenue.

The graph is attached to illustrate this.

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The trigonometric function gives the ratio of different sides of a right-angle triangle. The given problems can be solved as given below.

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

1st.) x = 5 /Sin(30°)

x = 10

!) sin(45°) = 4/x

x = 4/sin(45°)

x = 4√2

I) Cos(45°) = √3 / x

x = √3 / Cos(45°)

x = √6

E) Tan(60°) = 3√3 / x

x = 3√3 / 3

W) For isosceles right-triangle, the angle made by the legs and the hypotenuse is always 45°.

x = 45°

N) x² + x² = (7√2)²

x = 7

V) Tan(60°) = 7 / x

x = 7√3/3

K) x² + x² = (9)²

x = 9/√2

Y) Sin(60°) = 7√3/x

x = 14

M) Sin(30°) = x/11

x = 11/2

T) Sin(45°) = x/√10

x = √5

A) x + 2x + 90° = 180°

x = 30°

O) Sin(45°) = √2 / x

x = 2

R) Tan(30°) = x / 4

x = 4/√3 = 4√3 / 3

S) Sin(60°) = x / (10/3)

x = 5√3 / 3

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Answero

Step-by-step explanation:

i dont know

Answer:

D

Step-by-step explanation:

Triangle PQR is scaled 3x the size of Triangle LMN. This means that if length LM is 3cm, just multiply it by 3 to get length PQ, 9cm

Answer: х=3.

Step-by-step explanation:

А point is missing here: determining the allowable values of x for this equation.

1. Consider the right side of the equation:

The root expression 2x+3 must be greater than or equal to 0.

2x+3≥0

2x≥-3\ |:2

x≥-1,5.

2. Consider the left side of the equation:

the left side of the equation must be greater than or equal to 0.

x≥0.

We get x≥0.         ⇒

х=3 ∈ х≥0

х=-1 ∉ х≥0.

The possible amount of time is 90 seconds that it takes you to run around the baseball field

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

The options are missing.

The options are:

We have a radius of the circle is:

r = 150 ft

The perimeter of the circle = 2πr = 2π(150) = 300π ft

The running path distance = 40% of the perimeter of the circle

= 40% of 300π

= 120π ft

Assume the tape length is 50 m

Total distance = 200 + 200 + 120π - 50 = 726.99

The rate is 8 feet per second.

Time = distance/rate = 726.99/8 = 90.87 ≈ 90 seconds

Thus, the possible amount of time is 90 seconds that it takes you to run around the baseball field

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Answer: x = 8

Step-by-step explanation:

Hello again XD.

This is a coordinate plane and all the angles on a coordinate plane add up to 360°

Divide 360 by 4 to get the measurement of the section we are working in.

360/4 = 90°

This means it is complementary and complementary angles state that both separate angles added together = 90°

therefore,

6x + 2 + 40 = 90

combine like terms:

6x + 42 = 90

now subtract 42 from both sides

6x = 48

divide 6 from both sides to get:

x = 8

Let me know if you have any more questions you want answered and I hope I explained this well.

Answer:

x=0.5×1±√33

Step-by-step explanation:

x+8=x² and 2(x+8)=2x²

x²-x-8=0