The polynomial p(x)=x^3-7x-6p(x)=x
3
−7x−6p, left parenthesis, x, right parenthesis, equals, x, cubed, minus, 7, x, minus, 6 has a known factor of (x+1)(x+1)left parenthesis, x, plus, 1, right parenthesis.
Rewrite p(x)p(x)p, left parenthesis, x, right parenthesis as a product of linear factors.
p(x)=p(x)=

Answer:

Equation

1.95+1.6m ≤ 22

If solved

m ≤ 12.53

Step-by-step explanation:

SO we know the initial fee is 1.95

and for every mile driven, its $1.6

And we know that Shelly can spend less then or exactly the price of 22.

We know that m is miles driven

So we can make an equation

1.95+1.6m ≤ 22

1.95 can’t change since initial fee

1.6*m becuase its 1.6 for every mile driven and since “m” miles were driven, we multiply that by 1.6

Now it can’t go over 22 but it could be less than 22.

So this equation makes sense

If we solve it, it would be about  m ≤ 12.53 miles

Answer:

30°

Step-by-step explanation:

\( \sin \theta = \frac{1}{2} \\ \\ \sin \theta = \sin 30\degree \\ \\ \theta = 30 \degree\)

Answer:

A

Step-by-step explanation:

-2t +10= 4t+12

-2=6t

-1/3=t

Answer:

The independent variable is the variable that is manipulated or changed during an experiment. In this case, the independent variable is represented by the x-values of the given points.

So, the answer would be option A: {-2, 3, 1, 5}

Step-by-step explanation:

brainliest Plsssss

Answer:

The correct answer is D.) y = -2x-3

Step-by-step explanation:

You can solve the given equation y - 5 = -2(x + 4):

y - 5 = -2(x + 4)         simplify the right side

y - 5 = -2x - 8            add 5 to both sides

y = -2x - 3

Hope it helps! have a great day! :)

Answer:

D

Step-by-step explanation:

solve whats in (  ) first                               y-5= -2x -8

move the constant to the right                 y =  -2x - 8+5

(5 is the constant  )

add the sums                                              y= -2x -3

This is actually the slope intercept form

In this case, the critical region will be in the right tail.

To answer this question, you need to conduct a hypothesis test to determine whether the mean amount of paint in 1-gallon cans from this manufacturer is significantly different from 1 gallon. The null hypothesis for this test is that the mean amount of paint in 1-gallon cans from this manufacturer is equal to 1 gallon, and the alternative hypothesis is that it is greater than 1 gallon.

To determine the critical region(s) for this test, you need to decide on the significance level, which is given as 0.05. This means that you will reject the null hypothesis if the test statistic falls in the critical region with a probability of less than 0.05.

In this case, since the alternative hypothesis is that the mean amount of paint in 1-gallon cans is greater than 1 gallon, the critical region will be in the right tail. This means that you will reject the null hypothesis if the test statistic falls in the right tail with a probability of less than 0.05.

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No as their no difference in Mr. Goodman's evaluation and the History department

What is Statistics ?

The study of statistics is the field that deals with the gathering, structuring, analyzing, interpreting, and presenting of data. In order to apply statistics to an issue in science, business, or society, it is customary to start with a statistical population or a statistical model that will be investigated.

descriptive statistics types in mathematics The data in this type of statistics is summarized using the provided observations. Statistics that are inferential. To interpret the meaning of descriptive statistics, this kind of statistics is employed. Example of Statistics.

Seeing the data we can conclude that their no difference in Mr. Goodman's evaluation and the History department

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The dimensions of the posters are 21 inches and 6 inches

What is the area of the rectangle?

Rectangle is a quadrilateral with opposite sides parallel and equal. And every angle is a right angle. The area of the rectangle equals the product of length and breadth

We are given that, The length of a rectangular poster is 9 more inches than two times its width.

Let the length be l and width be w

Hence the relation can be given as,

l = 2w+9

Also the area of the rectangle is 126

hence

126 = l*w

126 = (2w+9)*w

126 = 2w^2+9w

2 w^2+9w-126=0

On solving the equation we get the value of w as

w= 6 and w =-10.5

The length and width cannot be negative hence

W =6

Hence length equals

L =2w+9

L= 12+9

L=21

Hence the dimensions are length = 21 inches and width = 6inches

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Answer:bdbehayssbeu

Step-by-step explanation:

dhdheheyshshsvv55557

Answer:

The apricots are $2.24 less expensive per pound.

Step-by-step explanation:

To find the price per pound of each product divide the price Dorian by the number of pounds Dorian bought:

Almonds: 21.98 ÷ 2 = 10.99

Almonds cost $10.99 per pound.

Apricots: 26.25 ÷ 3 = 8.75

Apricots cost $8.75 per pound.

The apricots are less expensive per pound. To find how much less expensive they are compared to the almonds, subtract the cost of the apricots per pound from the cost of the almonds per pound:

10.99 - 8.75 = 2.24

The apricots cost $2.24 less per pound than the almonds do.

Answer:

m< VUS+122

Step-by-step explanation:

m<TUX= 122 Degrees

m<VUS=122 degrees Make the circle at the top of 122  (vertically opposite angles are equal )

Answer:

0.000675 g

Step-by-step explanation:

1 mg = 0.001 g

You're moving the decimal point 3 positions to the left.

Answer:

x=5

Step-by-step explanation:

solve brackets first=

3x+3-8=5+x

3x-5=5+x   (simplify the like terms)

3x-x=5+5  ( take to one side; the like terms)

2x=10  (simplify)

x=10/2  (take to one side like terms)

x=5  (soo. answer)    

\(3(x + 1) - 8 = 5 + x\)

\(3x + 3 - 8 = 5 + x\)

\(3x - 5 = 5 + x\)

\(3x - x = 5 + 5\)

\(2x = 10\)

\(x = \frac{10}{2} \)

\(x = 5\)

Answer:

\(\sqrt[8]{197^{7} }\)

Step-by-step explanation:

\(\sqrt[8]{197^{7} }\)

The only possible statement is option I, x > y > z. The correct answer is A. I only. Since z⁴ is always less than or equal to y², which is always less than or equal to x, we know that x > y² > z⁴ > 0.

Taking the square root of y² > z⁴, we get y > z² > 0.

Therefore, we know that y is greater than z², and since x is greater than y², we can also say that x is greater than z⁴.

With this information, we can eliminate option II as it suggests that z is greater than x, which we know is not true.

We can also eliminate option III as it suggests that z is greater than y, which we know is not true either.

Therefore, the only possible statement is option I, x > y > z.

Hence, the correct answer is A. I only.

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Taylor polynomials of degree 2 and 3 centered at x = 0 for the function f(x) = 16tan(x) are:

P2(x) = 16x + 8x^2

P3(x) = 16x + 8x^2

To find the Taylor polynomials centered at x = 0 for the function f(x) = 16tan(x), we can use the Taylor series expansion for the tangent function and truncate it to the desired degree.

The Taylor series expansion for tangent function is:

tan(x) = x + (1/3)x^3 + (2/15)x^5 + (17/315)x^7 + ...

Using this expansion, we can find the Taylor polynomials of degree 2 and 3 centered at x = 0:

Degree 2 Taylor polynomial:

P2(x) = f(0) + f'(0)(x - 0) + (1/2!)f''(0)(x - 0)^2

= 16tan(0) + 16sec^2(0)(x - 0) + (1/2!)16sec^2(0)(x - 0)^2

= 0 + 16x + 8x^2

Degree 3 Taylor polynomial:

P3(x) = P2(x) + (1/3!)f'''(0)(x - 0)^3

= 0 + 16x + 8x^2 + (1/3!)(48sec^2(0)tan(0))(x - 0)^3

= 16x + 8x^2

Therefore, the Taylor polynomials of degree 2 and 3 centered at x = 0 for the function f(x) = 16tan(x) are:

P2(x) = 16x + 8x^2

P3(x) = 16x + 8x^2

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(2^5/3^2)^4 = 159.8195

Answer:

52/25

Step-by-step explanation:

Answer:

\(sin^2x\)

Step-by-step explanation:

To simplify the expression (1 - cos x)(1 + cos x), we can use the difference of squares identity, which states that \(a^2 - b^2 = (a + b)(a - b).\)

Let's apply this identity to the given expression:

\((1 - cos x)(1 + cos x) = 1^2 - (cos x)^2\)

Now, we can simplify further by using the trigonometric identity \(cos^2(x) + sin^2(x) = 1.\) By rearranging this identity, we have \(cos^2(x) = 1 - sin^2(x).\)

Substituting this into our expression, we get:

\(1^2 - (cos x)^2 = 1 - (1 - sin^2(x))\)

Simplifying further:

\(1 - (1 - sin^2(x)) = 1 - 1 + sin^2(x)\)

Finally, we get the simplified expression:

\((1 - cos x)(1 + cos x) = sin^2(x)\)

To simplify the expression \(\sf\:(1-\cos x)(1+\cos x)\\\), follow these steps:

Step 1: Apply the distributive property.

\(\longrightarrow\sf\:(1-\cos x)(1+\cos x) = 1 \cdot 1 + 1 \cdot \\\)\(\sf\: \cos x -\cos x \cdot 1 - \cos x \cdot \cos x\\\)

Step 2: Simplify the terms.

\(\longrightarrow\sf\:1 + \cos x - \cos x - \cos^2 x\\\)

Step 3: Combine like terms.

\(\longrightarrow\sf\:1 - \cos^2 x\\\)

Step 4: Apply the identity \(\sf\:\cos^2 x = 1 - \sin^2 x\\\).

\(\sf\:1 - (1 - \sin^2 x)\\\)

Step 5: Simplify further.

\(\longrightarrow\sf\:1 - 1 + \sin^2 x\\\)

Step 6: Final result.

\(\sf\red\bigstar{\boxed{\sin^2 x}}\\\)

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

The box alone weighs 6 kg

Step-by-step explanation:

Let, weight of Apple be x, Oranges be y, Guavas be z nd box a.

A box of Apple weighs 270kg and 500g i.e270.5kg

a+x =270.5---(1)

A box of oranges weighs 192.5kg

a+y=192.5---(2)

A box of guavas weighs 245

a+z=245---(3)

Fruits together weigh 690 kg

x+y+z=690---(4)

Combining (1),(2),(3), we get

3a+x+y+z=708---(5)

From 4&5

3a+690=708

3a=18

a=6

So the box weighs 6 kg

The maximum number of people who can go to the amusement park is 6.

To determine the number of people who can go to the amusement park, use the following equation:

Total cost = Parking cost + Admission cost

The total cost cannot exceed $86, the amount of money the friends have. The parking cost is $5 and the admission cost per person is $13.50. Therefore, we can write the following equation:

86 ≥ 5 + 13.5x

To solve for x,  subtract 5 from both sides of the inequality and then divide both sides by 13.5. This gives us the following equation:

x ≤ (86 - 5) / 13.5

x ≤ 6

Therefore, the maximum number of people who can go to the amusement park is 6.

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Answer:

42%

Step-by-step explanation:

462÷1100×100=42%

Answer:

42 %

Step-by-step explanation:

to find percentage we have to multiply the number by 100

so , 462/1100×100

= 42%

Answer:

$1,968

Step-by-step explanation:

If he paid $82 for 24 months when you mulitply 82 by 24 you get 1968. So the total computar was $1,968

In the World Series of Baseball, two teams A and B play a sequence of games against each other, and the first team that wins a total of four games becomes the winner of the World Series. If the probability that team A will win any particular game against team B is 1/3, then the probability that team A will win the World Series is 204/1215.

Let's assume that A wins the world series in n games. In order for A to win the series in n games, it must win the first n - 1 games and then the nth game. The probability of A winning the series in n games can be found by the product of the probability of A winning each of the first n - 1 games and then the nth game. The probability of A winning the nth game is 1/3. The probability of A winning each of the first n - 1 games depends on how many games have been played so far. If A has already won k games, then it needs to win n - k - 1 more games to win the series.

Therefore, the probability of A winning all of these games is(2 / 3)^(n - k - 1).The probability that A wins the World Series is the sum of the probabilities that A wins the World Series in 4, 5, 6, or 7 games, which are
P(4) = (1 / 3)^4P(5) = (2 / 3)(1 / 3)^4P(6) = (2 / 3)^2(1 / 3)^3P(7) = (2 / 3)^3(1 / 3)^3
Putting all these probabilities in fraction forms, we get: P(4) = 1 / 81P(5) = 8 / 243P(6) = 32 / 729P(7) = 128 /2187
Therefore, the probability that A will win the World Series is:
P(W) = P(4) + P(5) + P(6) + P(7)= 1 / 81 + 8 / 243 + 32 / 729 + 128 / 2187= 204 / 1215
Therefore, the probability that team A will win the World Series is 204/1215.

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The slope of a function is defined as the change in y-coordinate with respect to the change in x-coordinate of the line.

m = Δy/Δx

∆y --> net change in the y coordinate

∆x ---> net change in x coordinate

m ---> slope of fution

The y-intercept of both functions 'f' and 'g' are equal and slope of f(x) is less than the slope of g(x). So, the correct option is option (A).

We have given a function, g (x) = 2x + 1

comparing the g(x) with standard equation

y = mx + b

where m is slope of this line

b --> y-intercept

Thus we get m = 2 , b= 1 . So, the slope of g(x) is 2 and y-intersecpt is 1 .

Now, we have a table for function f(x) that is function f(x) passing through all points as given in table. The slope of function passing through (h,k) and (a,b) is expressed as (k-b)/(h-a)

Thus, slope of function 'f' passing through (0,1) and (2,4) = (1-4)/(0-2) = -3/-2

= 3/2

=> f (x) = (3/2)x + b

where , b --> y-intercept

plug the value x= 4 and corresponding to it

f(x) = 7 we get , 7 = 3/2× 4 + b

=> b = 7-6 = 1

Therefore, slope of function g(x) is greater than slope of function f(x) and y-intercept of f(x) is equal to y-intercept g(x) .

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Complete question:

The Table represents the linear function f(x), and the equation represents the linear function g(x). Compare the y-intercepts and the slopes of the linear functions f(x) and g(x) and choose the answer that best describes them.

x / f(x)

0/1

2/4

4/7

g(x)= 2x+1

A. The slope of f(x) is less than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).

B. The slope of f(x) is less than the slope of g(x). The y-intercept of f(x) is greater than the y-intercept of g(x).

C. The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).

D. The slope of f(x) is less than the slope of g(x). The y-intercept of f(x) is greater than the y-intercept of g(x).

Answer:

45

Step-by-step explanation:

When you're completing the square you're adding (b/2)^2 which in this case is (-5)^2 or 25. This is because when you rewrite it as a square binomial you write it in the form (x+(b/2))^2 which is going to result in x^2+b+(b/2)^2. Since you need to reach 25 you need to add 45 since the last value is at -20.

Answer:

25 to both sides

Step-by-step explanation:

Group x² and x terms

(x² - 10x ) - 20

complete the square

(x² - 10x +25 ) -20 -25

(x-5)² -45

Answer:

too hard!! (jkk)

Step-by-step explanation:

188 albums.

Add all numbers together and you should get 188

Answer:

129

Step-by-step explanation:

The measures of the three angles of the isosceles triangular banner are approximately 57.3 degrees, 61.4 degrees, and 61.4 degrees.

Let's denote the measure of each angle as A.

Each right triangle formed has a base of 9 feet (half of the equal side length) and a height (altitude) that we need to find.

The area of each right triangle is given by the formula:

Area = (1/2) * base * height

Substituting the values:

68 = (1/2) * 9 * height

68 = 4.5 * height

height = 68 / 4.5

height ≈ 15.11 feet

In a right triangle, the sine of an acute angle is equal to the ratio of the opposite side to the hypotenuse.

sin(A) = height / equal side

sin(A) = 15.11 / 18

A ≈ arcsin(15.11 / 18)

Using a calculator, we find:

A ≈ 57.3 degrees

Since the triangle is isosceles, the other two angles are also congruent and each measures (180 - A) / 2.

Each of the other two angles ≈ (180 - 57.3) / 2 ≈ 61.4 degrees.

Therefore, the measures of the three angles of the isosceles triangular banner are approximately 57.3 degrees, 61.4 degrees, and 61.4 degrees.

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