find the degree of the term.7x³

The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).

To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.

1. Find the derivative of the function:

  y' = 3x² - 6x - 9

2. Set the derivative equal to zero and solve for x:

  3x² - 6x - 9 = 0

3. Factorize the quadratic equation:

  3(x² - 2x - 3) = 0

4. Solve the quadratic equation by factoring or using the quadratic formula:

  (x - 3)(x + 1) = 0

  This gives us two possible values for x: x = 3 and x = -1.

5. Substitute these critical points back into the original function to find the corresponding y-values:

  For x = 3:

  y = (3)³ - 3(3)² - 9(3) + 4

    = 27 - 27 - 27 + 4

    = -23

  For x = -1:

  y = (-1)³ - 3(-1)² - 9(-1) + 4

    = -1 - 3 + 9 + 4

    = 9

6. Therefore, the turning points are (3, -23) and (-1, 9).

Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.

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Answer:

The answer is 4%

Answer:

The answer would be 4%

Step-by-step explanation:

%=160/40000*100=

Answer:

5 gallons

Step-by-step explanation:

The equation of the line with slope -1 passing through the point ( -2, 4) is y = -x + 2.

The y-intercept is the point where a line intersects the y-axis on a coordinate plane. At that point x = 0. In the slope-intercept form of a linear equation, y = mx + b, the y-intercept is represented by the constant term b. The y-intercept is useful in graphing linear equations and can provide information about the initial or starting value in a given situation.

To graph a line with a slope of -1 passing through the point (-2, 4), we can use the slope-intercept equation y = mx + b. We substitute -1 for m since the slope is -1. Then, we find b by using the point (-2, 4) in the equation. After calculating b to be 2, we can write the equation of the line as y = -x + 2. We can then plot the y-intercept at (0, 2) and use the slope to find other points on the line. By connecting these points, we can graph the line passing through (-2, 4) with a slope of -1.

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Answer:

x axis comes first before the y

Answer:

???? :( Its really impossible question for me

The result of the simulation does not provide evidence that the standard deviation of the juice dispensed exceeds .05 fluid ounces because the simulation does not indicate any instances where the standard deviation of the juice dispensed was greater than .05 fluid ounces. This indicates that the variability of the juice dispensed was within the acceptable  sum range of .05 fluid ounces or less.

The simulation did not indicate any instances where the standard deviation of the juice dispensed was greater than .05 fluid ounces, indicating that the variability of the juice dispensed was within the acceptable sum of range

The result of the simulation does not provide evidence that the standard deviation of the juice dispensed exceeds .05 fluid ounces because the simulation does not indicate any instances where the standard deviation of the juice dispensed was greater than .05 fluid ounces. This indicates that the variability of the juice dispensed was within the acceptable range of .05 fluid ounces or less.

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The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.

The correct answer is 4.

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.

Given information:

- Circle C (cats): 15

- Circle D (dogs): 21

- Circle F (fish): 12

- Overlap of C and F: 2

- Overlap of F and D: 0

- Overlap of D and C: 3

- Overlap of all 3 circles: 1

- Number outside of circles: 14

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.

From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.

To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.

Therefore, from the options given correct one is 4.

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Answer: 4

Step-by-step explanation:

trust me bro

Answer:

Karen: 15; Dale: 9; Tom: 60

Step-by-step explanation:

"Karen and Dale and Tom sent a total of 84 messages during the weekend."

k + d + t = 84

"Dale sent six fewer messages than Karen"

d = k - 6

"Tom sent four times as many as Karen."

t = 4k

Substitute k - 6 for d and 4k for t in the first equation.

k + d + t = 84

k + k - 6 + 4k = 84

6k - 6 = 84

6k = 90

k = 15

d = k - 6 = 16 - 6 = 9

t = 4k = 4(15) = 60

Answer: Karen: 15; Dale: 9; Tom: 60

We want to find a graph that represents Noah's average speed.

We define the average speed as the quotient between the distance moved and the time it takes to move that distance, then in this case we will have:

s = 12ft/6s = 2ft/s

Then we can define a linear equation:

y = (2ft/s)*x

As the distance that Noah travels in x seconds.

The graph of the given linear function can be seen below, and that is the graph with the slope that best represents Noah's average speed.

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A repeating decimal is acceptable to use during calculations when you require a certain level of precision

A repeating decimal is acceptable to use during calculations when you require a certain level of precision, but it's important to keep in mind that the result will be an approximation rather than an exact value.

It is commonly used in situations where a rounded value is sufficient and the level of precision doesn't significantly impact the final result.

On the other hand, you should convert a repeating decimal to a fraction for calculations when you need an exact value or when further mathematical operations or comparisons are required.

Converting a repeating decimal to a fraction allows for precise calculations and eliminates any potential rounding errors associated with working with decimal approximations.

Converting a repeating decimal to a fraction involves identifying the repeating pattern and expressing it as a fraction. This allows for exact calculations and maintains the mathematical properties of fractions.

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Answer:

300,000,000

10,000,000

700,000

60,000

3,000

20

9

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

7x+5+13x-8+11x-3=180

31x-6=180

31x=186

x=186÷31

x=6

I wrote the wrong answer so I erased it

Answer:

answer is Commutative Property

Step-by-step explanation:

Answer:D

Step-by-step explanation:Don't have one

Answer:

12/5

Step-by-step explanation:

since we are dealing with the angle at Z, we consider Z also to be the center of a circle.

then 10 is the radius of this circle.

24 is tan Z in this circle with radius 10.

tan Z in the standard circle with radius 1 is simply 1/10 of the tan Z in the circle with radius 10.

so, tan Z = 24/10 = 12/5

Answer:

38

Step-by-step explanation:

(f°g)(5)=f(g(5)

(f°g)(5)=f(5^2-5*3)

(f°g)(5)=f(10)

(f°g)(5)=4(10)-2

(f°g)(5)=38

Answer:

Step-by-step explanation:

g(5)= 5^2 - 3(5) = 25 - 15 = 10

f(10) = 4(10) - 2 = 40 -2 = 38

answer is D

Answer: Hello there!

It is 5.25 x .10^-10

Hope This Helps You!

Good Luck :)

Step-by-step explanation:

Answer:

4xy^2z

assuming those numbers after the first ones are exponents

The location of the light bulb is (15, 0). Check the reason for the answer been (15, 0) below.

This is also known as  paraboloid or paraboloidal reflector. It is a kind of  dish or a mirror that is said to have a reflective surface which is often used to take in or project any kind of energy e.g., light, sound, etc.

For the above question, the formula is:

y² = 2px

The focus is (p/2, 0)

x- 10 = u

y2 = 20u

So, the focus for U  =  ( \(\frac{20}{4}\); 0)

The focus for x =  ( \(\frac{20}{4}\); 10, 0)

= 5 , 10, 0

= (15, 0)

Therefore, the answer is (15, 0)

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Answer:

35

Step-by-step explanation:

Given that :

Number of balls = 8

Red (R) = 6 ; 1 green(G) ; 1 BLUE (B)

Possibilities unt a blue ball is picked :

B, RB, GB, RRB, RGB, GRB, G

Draw 1 = B = 1

Draw 2 = B = 2C1 = 2

Draw 3 = B = 3C2 = 3

Draw 4 = B = 3C3 + 3C1 = 1 + 3 = 4

Draw 5 = B = 4C4 + 4C1 = 1 + 4 = 5

Draw 6 = B = 5C5 + 5C1 = 1 + 5 = 6

Draw 7 = B = 6C6 + 6C1 = 1 + 6 = 7

Draw 8 = B = 6C6 + 6C1 = 1 + 6 = 7

Taking the sum:

(1 + 2 + 3 + 4 + 5 + 6 + 7 + 7) = 35

There are 35 elements in the sample space

Answer:

For question 6 :

> Vertical stretch by 4 ( Multiply y co-ordinates by a)

> Horizontal compress by 2 ( Multiply x co-ordinates by 1/a)

For question 7 :

> Horizontal compress by 3 (Multiply x co-ordinates by 1/a)

> Graph moved down 4.

I hope this is what you looking for.

Answer:

6.  Stretched horizontally by a factor of 1/2 and stretched vertically by a factor of 4.

7.  Stretched horizontally by a factor of 1/3 and translated 4 units down.

Step-by-step explanation:

Transformations

\(\textsf{For $a > 0$}\)

\(f(x+a) \implies f(x) \: \textsf{translated $a$ units left}\)

\(f(x-a) \implies f(x) \: \textsf{translated $a$ units right}\)

\(f(x)+a \implies f(x) \: \textsf{translated $a$ units up}\)

\(f(x)-a \implies f(x) \: \textsf{translated $a$ units down}\)

\(a\:f(x) \implies f(x) \: \textsf{stretched parallel to the $y$-axis (vertically) by a factor of $a$}\)

\(f(ax) \implies f(x) \: \textsf{stretched parallel to the $x$-axis (horizontally) by a factor of $\dfrac{1}{a}$}\)

\(-f(x) \implies f(x) \: \textsf{reflected in the $x$-axis}\)

\(f(-x) \implies f(x) \: \textsf{reflected in the $y$-axis}\)

Parent function:

\(f(x)=\sqrt{x}\)

Stretched horizontally by a factor of 1/2:

Multiply the x-variable by 2:

\(\implies f(2x)=\sqrt{2x}\)

Stretched vertically by a factor of 4:

Multiply the function by 4:

\(\implies4f(2x)=4\sqrt{2x}\)

Parent function:

\(f(x)=\lfloor x \rfloor\)

Stretched horizontally by a factor of 1/3:

Multiply the x-variable by 3:

\(\implies f(3x)=\lfloor 3x \rfloor\)

Translated 4 units down:

Subtract 4 from the function:

\(\implies f(3x)-4=\lfloor 3x \rfloor-4\)

Answer:

200 miles per tire

Step-by-step explanation:

To find the distance of how much each tire traveled, we can divide.

600 / 3 = 200 miles per tire

Best of Luck!

Step-by-step explanation:

Click here

Thanks guys

Mwhehe

If the point you end up at is coordinate (0.25, 0) then you would have ran one full lap around the track.

1. The given track is a circular track with a radius of 0.25 miles, and the center of the track is at (0, 0).

2. If you end up at the point (0.25, 0), then you would have ran one full lap around the track. This is because the coordinates of the point you end up at, (0.25, 0), are the same as the coordinates of the circumference of the track, which is located 0.25 miles from the center of the track.

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a) The maximum value for this data set is 31, the minimum value is 11 and the median value is 15.5.

b) Q1 13.5

Q2 15.5

Q3 24

c) 10.5

d) lower than 11 or higher than 31

e) Yes.

f) This data set is slightly positively skewed.

The median is the middle value of a set of data when the values are arranged in numerical order. It is used to find the middle value of a set of numbers or observations.

A. The values can be plotted on the boxplot as follows:

Maximum: 31

Minimum: 11

Median: 15.5

B. To find Q1, Q2 and Q3, the data must first be sorted from lowest to highest: 11; 13; 14; 15; 15; 16; 21; 26; 30; 31. Q1 is the median of the lower half of the data set (11, 13, 14, 15 and 15), which is 13.5. Q2 is the median of the entire data set (15.5). Q3 is the median of the upper half of the data set (16, 21, 26, 30 and 31), which is 24. The values can be plotted on the boxplot as follows:

Q1: 13.5

Q2: 15.5

Q3: 24

C. The Interquartile Range (IQR) is calculated by subtracting Q1 from Q3: IQR = Q3 - Q1 = 24 - 13.5 = 10.5.

D. Outliers are values that are significantly greater or lower than the majority of the data set. In this data set, values that are lower than 11 or higher than 31 would be considered outliers.

E. Yes, this data set has outliers. The value 11 is significantly lower than the majority of the data set, and the value 31 is significantly higher than the majority of the data set.

F. This data set is slightly positively skewed, as the majority of the data points are clustered around the lower end of the range, and there is a longer tail of higher values. This is indicated by the fact that the median (15.5) is lower than the mean (19.4).

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a) The maximum value of the given dataset is 31, while the minimum value is 11 and the median is 15.5.

b) Q1 = 14,

Q2 = 15.5,

Q3 = 21

c) (IQR) = 7

d) Any values below 11 or above 31

e) Yes

f) slightly positively skewed.

Median is a measure of central tendency that is calculated by taking the middle value of a set of numbers when the values are arranged in ascending or descending order.

a) Maximum value: 31,

Minimum value: 11,

Median value: 15.5

b) Q1 = 14,

Q2 = 15.5,

Q3 = 21

c) The Interquartile Range (IQR) is calculated by subtracting Q1 from Q3:

Inter Quartile Range (IQR) = Q3-Q1

=21-14

= 7

d) Any values below 11 or above 31 can be considered as outliers.

As 11 is the lowest value given and 31 is the highest value.

e) Yes, this data set has outliers. The values 31 and 11 are both outliers since they are beyond the range of the Inter Quartile Range (IQR).

The value 11 is significantly lower than the majority of the data set, and the value 31 is significantly higher than the majority of the data set.

f) This data set is slightly positively skewed.

As the majority of the data points are clustered around the lower end of the range, and there is a longer tail of higher values.

This is indicated by the fact that the median (15.5) is lower than the mean.

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Answer:

\(y = \frac{384}{9}\)

Step-by-step explanation:

Given

\(y\ \alpha\ x^2\) --- direct variation

\((x,y) = (3,24)\)

Required

y when x = 4

\(y\ \alpha\ x^2\)

Express as an equation

\(y = kx^2\)

Substitute: \((x,y) = (3,24)\)

\(24 = k*3^2\)

\(24 = k*9\)

Solve for k

\(k = \frac{24}{9}\)

To solve for y when x = 4, we have:

\(y = kx^2\)

\(y = \frac{24}{9} * 4^2\)

\(y = \frac{24}{9} * 16\)

\(y = \frac{24 * 16}{9}\)

\(y = \frac{384}{9}\)

Step-by-step explanation:

15×3×3=135

hope it helps you

Step-by-step explanation:

By the Right Triangle Altitude Theorem, the two triangles formed by the altitude of a right triangle are similar to the original triangle and to each other.

In this case, triangle ABC is the original right triangle and CE is the altitude. Therefore, the similarity statement that is true is:

△ABC ∼ △AEC

This is because triangles ABC and AEC are both right triangles that share the angle at C, and the altitude CE creates two pairs of congruent angles (the right angles and the angle at A and E) and a pair of proportional sides (CE and AE are corresponding altitudes).

So, we can write the similarity statement as:

△ABC ~ △AEC

Answer:

(-3,-0.5)

Step-by-step explanation:

Answer:

your answer is -3, -0.5

Step-by-step explanation:

Answer: Gold mining can contaminate drinking water and destroy pristine environments, endangering the health of people and ecosystems.

Thus the answer is d

Step-by-step explanation: