Order the numbers from least to greatest

If we know that f(-4) = 0, we can say that:

x + 4 is a factor of the function f(x).

This is because when we substitute x = -4 into the function, we get:

f(-4) = (-4)^4 + 2(-4)^3 - 9(-4)^2 - 2(-4) + 6 = 0

This means that (x + 4) is one of the factors of the function.

Now, we can use polynomial division or synthetic division to find the other factors. If we divide the function f(x) by (x + 4), we obtain:

           x^3 - 2x^2 - 17x + 3

We can use the Factor theorem on this cubic function f(x) = x^3 - 2x^2 - 17x + 3.

If we try to substitute a = 1 we find that f(1) = -15 which is not zero. If we try to substitute a = -1, we find that f(-1) = 23 which is not zero.

Now we can solve as follows:

Let x = t - 2/3. After substitution we get a cubic equation.

t^3 -25/3 t - 85/27 = 0

We can find one root of this cubic by rational root theorem which is t = 5 or t = -17/3.

Now, we can use synthetic division again to divide f(x) by the binomial (x - 5). This gives us:

        (x - 5)(x^2 + 3x - 1)

Therefore, the complete factorization of f(x) is:

f(x) = (x + 4)(x - 5)(x^2 + 3x - 1)

Therefore, the zeros of the function are:

x = -4, 5, (-3 ± √13)/2

Thus, these are the zeros of the polynomial.

Answer:

7

Step-by-step explanation:

hexagon- six sides, perimeter is the sum of all sides of the shape, so divid the perimeter (42)  with the number of sides (6) and you get the length of one side (7)

42/6 = 7

Answer:

1

Step-by-step explanation:

Answer:

i think like the 2nd one im not sure i cant see the lines

Step-by-step explanation:

A point on the graph of y=g(x), where g(x) = f(x+1), we substitute x+1 into the function f(x) and evaluate it at the given point (-3,16). So, a point on the graph of y=g(x) is (-2, 16).

The function g(x) = f(x+1) is obtained by shifting the function f(x) one unit to the left. So, to find a point on the graph of y=g(x), we substitute x+1 into f(x) and evaluate it at the given point (-3,16).

Substituting x = -2 into f(x) gives us g(-2) = f(-2+1) = f(-1). Therefore, a point on the graph of y=g(x) is (-2, 16).

A point on the graph of y=g(x), where g(x) = f(x)-5, we subtract 5 from the y-coordinate of the given point (-3,16). So, a point on the graph of y=g(x) is (-3, 11).

The function g(x) = f(x) - 5 is obtained by subtracting 5 from the y-coordinate of each point on the graph of f(x). To find a point on the graph of y=g(x), we subtract 5 from the y-coordinate of the given point (-3,16).

Subtracting 5 from 16 gives us g(-3) = f(-3) - 5 = 16 - 5 = 11. Therefore, a point on the graph of y=g(x) is (-3, 11).

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Answer:

I think it's C.

Step-by-step explanation:

The Correct and Right Answer Is C

There are 715 ways to select 9 players for the starting lineup.

Permutation is used whenever there is arrangement or where order is important . denoted by \(P(n,r)=\frac{n!}{(n-r)!}\)

n= no of item  , r = no of items to be arranged.

Combination is used when there is selection . denoted by\(C(n,r)=\frac{n!}{r!(n-r)!}\)

n=no of item  , r= no of item to be selected.

Part (a)

In the given question

we have to select 9 players out of 13 player , combination will be used

\(C(13,9)=\frac{13!}{9!*(13-9)!}=\frac{13*12*11*10*9!}{9!*4!} =\frac{13*12*11*10}{4*3*2}\)=715 ways.

Part(b)

In this part we have to find how many ways are there to select 9 players for the starting lineup and a batting order for the 9 starters.

Since the batting order is important , permutation will be used.

\(P(13,9)=\frac{13!}{4!} =\frac{13*12*11*10*9*8*7*6*5*4!}{4!} =13*12*11*10*9*8*7*6*5\)

=259459200 ways.

Part(c)

In this part we have to do selection of  3 left-handed outfielders and have all other 6 positions occupied by right-handed players.

Since order is not important Combination  will be used.

To select 3 left handers from total 6 left handers = C(6,3)

& to select 6 positions of left handers from remaining 7 right handers=C(7,6)

No of ways of selection = C(6,3)*C(7,6)

\(=\frac{6!}{3!*(6-3)!} *\frac{7!}{6!*(7-6)!} \\ \\= \frac{6!}{3!*3!} *\frac{7!}{6!*1!} \\ \\\)

On solving further we get

\(= \frac{7!}{3!*3!} =\frac{7*6*5*4*3!}{3!*3*2*1} =7*5*4=140ways\)

Therefore ,(a)There are 715 ways to select 9 players for the starting lineup.

(b) there are 259459200 ways to to select 9 players for the starting lineup and a batting order for the 9 starters and 140 ways .

(c)there are 140 ways to select 3 left-handed outfielders and have all other 6 positions occupied by right-handed players.

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544500 ......... is the answer

Answer:

The area of the rectangle is 544, 500 cm^2 or 54.45 m^2. (It depends on the requested unit—in cm squared or meters squared.)

Step-by-step explanation:

Area of a rectangle = length * width

A = 990 cm * 550 cm

A = 544, 500 cm^2

A = 54.45 m^2

Hope this helps; have a wonderful day!

Answer:

x = 10

Step-by-step explanation:

8x + 14 = 6x + 34  (vertically opposite angles are equal)

Rearrange

2x = 20

x = 10

Answer:

x=10

Step-by-step explanation:

So we know that they are equal to each other.

so 6x+34=8x+14

-6x

34=2x+14

-14

20=2x

/2

x=10

Answer:

The answer would be C.

Answer:

c

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

(3m + 58) + (8m + 155) = 180

11m + 213 =180

11m = -33

m = -3

PCM = 3m + 58 = -9 + 58 = 49

When studying the relationship between test performance (exam score) and length of sleep (the night before), here the true population correlation is being used.

Correlation:

Correlation analysis examines relationships between variables. The purpose of correlation analysis is to find out whether there are relationships between variables that are unlikely to be caused by sampling error. The null hypothesis states that there is no relationship between the two variables. Correlation analysis provides the following information:

Direction of relationship: positive or negative - indicated by the sign of the correlation coefficient.

Strength or magnitude of relationship between two variables - indicated by the correlation coefficient, which varies from 0 (no relationship between variables) to 1 (perfect relationship between variables).

Positive Correlation:

A positive correlation indicates that high scores for one variable are associated with high scores for the other variable. Low values ​​of one variable are associated with low values ​​of the second variable. For example, in the chart below, a higher score for negative impacts corresponds to a higher score for perceived stress.

Negative Correlation:

A negative correlation indicates that high values ​​of one variable are associated with low values ​​of the other variable. This graph shows that people with higher perceived stress scores are more likely to have lower proficiency scores. The slope of the graph decreases toward the right. In the chart below, the higher the mastery score, the lower the perceived stress score.

Strength or Magnitude of Relationship

The strength of a linear relationship between two variables is measured by a statistic known as the correlation coefficient, which varies between 0 and -1 and 0 and +1. There are some correlation coefficients. The most common are Pearson's r and Spearman's rho. The strength of the relationship is interpreted as follows.

Small/Weak: r= 0.10 to 0.29

Medium/Medium: r= 0.30 to 0.49

Large/Strong: r= 0.50 to 1

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Answer:

Photosynthesis is

Step-by-step explanation:

The process by which green plants and certain other organisms transform light energy into chemical energy. During photosynthesis in green plants, light energy is captured and used to convert water, carbon dioxide, and minerals into oxygen and energy-rich organic compounds.

Hope this answered your question :)

Answer:

the process by which green plants and some other organisms use sunlight to synthesize foods from carbon dioxide and water. Photosynthesis in plants generally involves the green pigment chlorophyll and generates oxygen as a byproduct.

And here is my email address vikrant:

(nobdy else needs this, just vikrant 'k.)

Considering that the hypothesis test found an statistically significant result, it is found that the correct option is:

c. probability of obtaining this finding by chance alone is less than some quantity.

Hence, according to these bullet points, option C is correct.

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Answer:

7x-4+x=-1+13x+7

8x-4=13x+6

add 4 to both sides

8x-4+4=13x+6+4

8x=13x+10

subtract 13x from both sides

8x-13x=13x+10-13x

-5x=10

divide both sides by -5

-5x÷-5=10÷-5

x=-2

I hope this is good enough:

The surface area of the triangular prism is 152 sq, ft.

A triangular prism is a three-dimensional (3D) object having two identical triangle-shaped faces joined by three rectangular faces. The bases are the triangle faces, while the lateral faces are the rectangular faces. The top and bottom (faces) of the prism are other names for the bases.

The surface area of the triangular prism is given as:

SA = bh + (b1 + b2 + b3)l

Here, b = 6, h = 4, b1 = b2 = 5, b3 = 6 and l = 8.

Substituting the values we have:

SA = (6)(4) + (5 + 5 + 6) (8)

SA = 24 + (16)(8)

SA = 152 sq. ft.

Hence, the surface area of the triangular prism is 152 sq, ft.

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Answer:

A. ASA

Step-by-step explanation:

The point in which they are connected is equal on both sides, it is an even 90-degree angle. The two lines indicate that the side is equal on both triangles and the red curve indicates that the angle is equal on both triangles. So it is congruent by ASA.

Answer:

A. The number 81 is a rational number.

B. 11.7 is irrational

C. 3 is irrational

E. 17.35 is rational

Step-by-step explanation: A rational number is a number that can be expressed as a fraction where the numerator is a whole number (integer) and the denominator is a whole number (integer).

The number 81 is a rational number. We know this because it is possible to obtain the rational number 81 by dividing the integer 81 by the integer 1.

2/5 and 2/3 are rational numbers. Irrational numbers have an infinite number of digits to the right of the decimal point, without repetition.

The square root of 3 is irrational. It cannot be simplified further in its radical form and hence it is considered as a surd.

Answer:

A

Step-by-step explanation:

Answer:

y= 1/2x+2

Step-by-step explanation:

the rise over run

rise 1 over the run of 2  saying slope of 1/2

and the y intercept is at 2

combind y= 1/2x+2

Answer:

cos(400)

Step-by-step explanation:

Useful things:

Cofunction identity: sin(x)=cos(90-x)

Sine and cosine have period of 360 degrees.

So sin(50)=cos(40) by cofunction identity.

Since cosine has period of 360 degrees then cos(40)=cos(360+40).

That simplifies to cos(400).

The expression equivalent to sin(50)º will be cos(400). the correct option is A.

The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths. They are extensively utilized in various geosciences, including navigation, and solid mechanics.

Trigonometry is the branch of mathematics that set up a relationship between the sides and angle of the right-angle triangles.

Cofunction identity: sin(x)=cos(90-x). Sine and cosine have periods of 360 degrees.

sin(50)=cos(40) by cofunction identity. Cosine has a period of 360 degrees then, the value of cos 40 is calculated as:-

cos(40)=cos(360+40).

Therefore, the expression equivalent to sin(50)º will be cos(400). the correct option is A.

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Answer:

2j = t (total)

Step-by-step explanation:

2 (books) times j(pounds) = total

Answer:

x(x-4)(x+8)

Step-by-step explanation:

Factor.

x(x^2+4x-32)

x(x-4)(x+8)

The domain of the given function given range is {1.25, -0.25, 1.25, 4.75}

The range of values that we are permitted to enter into our function is known as the domain of a function.

The x values for a function like f(x) make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of value.

Given the range of the function as {-5, -3, 0, 7}

Determine the domain from the function 4x - 2y = 5

4x - 2y = 5

4x - 2(-5) =5

4x + 10 = 5

4x = 5

x = 5/4 = 1.25

If y = -3

4x - 2y = 5

4x - 2(-3) =5

4x + 6 = 5

4x = -1

x = -1/4 = -0.25

If y = 0

4x - 2(0) =5

4x - 0 = 5

4x = 5

x = 5/4 = 1.25

If x = 7;

4x - 2y = 5

4x - 2(7) =5

4x - 14 = 5

4x = 19

x = 19/4 = 4.75

Therefore the equivalent domain of the function is {1.25, -0.25, 1.25, 4.75}

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Answer:

628m

Step-by-step explanation:

Given radius=100m

distance=circumference

=2pie r

=2×22/7×100

=628m

please mark me brainliest

Answer:

70 degrees

Step-by-step explanation:

There are no two real numbers that satisfy the given conditions (product of 360 and sum of 8).

Let's denote the two numbers as x and y.

According to the given information, we have two equations:

Equation 1:

xy=360 (the product of the two numbers is 360)

Equation 2:

x+y=8 (the sum of the two numbers is 8)

To solve this system of equations, we can use substitution or elimination method.

Let's solve it using the substitution method:

From Equation 2, we can rewrite it as y=8−x.

Substituting this value of y in Equation 1, we get:

x(8−x)=360

Expanding the equation:

8x−x2=360

Rearranging the equation:

x 2−8x+360=0

Now, we can solve this quadratic equation by factoring or using the quadratic formula.

Upon inspecting the equation, we can see that it does not have any real solutions.

The discriminant (2−4b2−4ac) is negative, indicating that there are no real roots.

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Answer :

17+44 = 61

10+51= 61

Answer:

yo we need the data lol how many

Answer:

20%

if there are 300 students and 60 of them chose the lion, 20% of the students chose lion

If these conditions are met, the sampling distribution of x will be approximately normally distributed. This is helpful in statistical analyses, as it allows us to make inferences about the population mean using the properties of the normal distribution.

The sampling distribution of x (the sample mean) will be approximately normally distributed if certain conditions are met. These conditions are based on the Central Limit Theorem (CLT), which states that:

1. The sample size (n) is large enough, typically n > 30. This ensures that the sampling distribution of x becomes more normally distributed as the sample size increases.
2. The population from which the sample is drawn is either normally distributed or the sample size is large enough to compensate for non-normality.

The sampling distribution of x overbarx (the sample mean) will be approximately normally distributed if certain conditions are met. These conditions include:
1. The population distribution must be normal or approximately normal.
2. The sample size should be large (typically n > 30).
3. The samples should be randomly selected from the population.

If these conditions are met, the sampling distribution of x will be approximately normally distributed. This is helpful in statistical analyses, as it allows us to make inferences about the population mean using the properties of the normal distribution.

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With the formula d=vt+1/2at², we can prove that the acceleration of an object can be calculated with a=2d-2v t/t²

To solve this problem we must establish the equation, isolate the variable (a) following the rules of clearance and solve the operations:

d=vt+1/2at²

1/2at² = d - vt

at² = (d - vt)*2

at² = 2d - 2vt

a= (2d - 2vt) / t² verified

An equation is the equality between two algebraic expressions, which have at least one unknown or variable.

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Answer: -34+49i

Step-by-step explanation: