What is the value of 2x(3+x2) when x=−2?

Answer:

A stray dog ate 12 of your muffins. That was of all of them. With how many muffins did

you start? Write an equation and solve the problem.

plz help

Step-by-step explanation:

um if he ate ALL of them wouldn't it be 12?

We can conclude that gcd(a, b) divides 15 if and only if there exist integers s and t such that as + bt = 15.

If there are integers s and t such that as + bt = 15, then we can conclude that gcd(a, b) divides 15. This is known as Bézout's identity, which states that for any two integers a and b, there exist integers s and t such that as + bt = gcd(a, b).

To see why this is true, consider the set of all linear combinations of a and b, that is, the set {ax + by : x, y are integers}. This set contains all multiples of gcd(a, b) since gcd(a, b) divides both a and b.

Therefore, gcd(a, b) is the smallest positive integer that can be expressed as a linear combination of a and b.

Now, if as + bt = 15, then 15 is a linear combination of a and b, which means that gcd(a, b) divides 15.

Conversely, if gcd(a, b) divides 15, then we can find integers s and t such that as + bt = gcd(a, b), and we can scale this equation to obtain as' + bt' = 15, where s' = (15/gcd(a, b))s and t' = (15/gcd(a, b))t.

Therefore, we can conclude that gcd(a, b) divides 15 if and only if there exist integers s and t such that as + bt = 15.

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Answer:

.- .-. . / -.-- --- ..- / .-. . .- .-.. .-.. -.-- / - .... .- - / -... --- .-. . -.. ..--..

Based on the given problem of -7x⁴ = 36, the solution to the equation is x = -1.5.

The equation to find x is given as:

-7x⁴ = 36

Solving it gives:

-7x⁴ = 36

x⁴ = 36/-7

x⁴ = -36/7

x = ⁴√(-36/7)

x = -1.5

In conclusion, x is -1.5.

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Answer: -7 x 4= -36

Step-by-step explanation:

C) f is decreasing for x<0 because f′(x)<0 for x<0. , we can conclude that the function f is decreasing for x<0 because f′(x)<0 for x<0.

The derivative of f is f′(x)=x2−a2=(x−a)(x+a).

This implies that f′(x)<0 when x<−a or x>a. From the derivative, we can deduce that f is decreasing for x<0 because f′(x)<0 for x<0.

The derivative of the function f is f′(x)=x2−a2=(x−a)(x+a), where a is a positive constant. This means that the derivative is negative when x<−a or x>a. We can use this information to determine the behavior of the function. Since the derivative is negative when x is less than zero, we can conclude that the function f is decreasing for x<0 because f′(x)<0 for x<0.

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Answer:

0.375

Step-by-step explanation:

Take 3 divided by 8 which will give you the answer, 0.375.

1.242 ≤ d ≤ 1.305 is the corresponding interval for the diameter of the washer.

Given that,

Company A makes and sells a washer having a 4-centimeter outer radius. The corporation has decided on a washer with an actual radius in the range of 3.9 ≤ C ≤ 4.1.

Inequality is defined as the connection of an equation having the symbol ( ≤, ≥, <, >) in place of the assignment operator.

Here,

C = 3.14d

Given inequality,

3.9 ≤ C ≤ 4.1

3.9 ≤ 3.14d ≤ 4.1

dividing both sides of the inequality by 3.14,

1.242 ≤ d ≤ 1.305

As a result, the needed matching spacing for the washer's diameter is 1.242 ≤ d ≤ 1.305.

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A solution to this inequality 2(x - 6) < 1/2(12x - 8) include the following: x > -2.

In Mathematics, an inequality simply refers to a mathematical relation that is typically used for comparing two or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:

Next, we would multiply both sides of the inequality by 2 as follows;

2(x - 6) < 1/2(12x - 8)

4(x - 6) < (12x - 8)

4x - 24 < 12x - 8

By collecting like-terms and rearranging the expression, we have:

8 - 24 < 12x - 4x

-16 < 8x

x > -2

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Using quicksort, if the pivot is [ 28 ], the values found to be in the wrong partition after the first pass across the array are [17, 14, 24]. The given array is {28, 17, 45, 51, 35, 14, 88, 24}.

The given array has the pivot element 28.

The quicksort algorithm involves choosing a pivot element from the array and partitioning the other elements into two sub-arrays, according to whether they are less than or greater than the pivot, then recursively repeating the algorithm on each sub-array.

Here, the steps involved in quicksort are explained below:

Step 1: Consider the pivot element (28).

Step 2: Partition the elements in the array according to whether they are less than or greater than the pivot element.Partition: {17, 14, 24, 28, 45, 51, 35, 88}.

Step 3: Now, the pivot is placed in its final position. In the given array, the pivot is at the 4th position.Pivot: {17, 14, 24, 28, 45, 51, 35, 88}.Here, after the first pass across the array, the following values are found to be in the wrong partition:[17, 14, 24] are in the wrong partition.

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Answer: Rectangle

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given formula:

(i)

Solve for i:

(ii)

P = 2500, A = 2650, find i:

The operation that Amjed should perform to determine the relative frequency of a person over 30 years old who prefers to ride a mountain bike is given as follows:

2) Divide 25 by 462.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.

The total number of people is given as follows:

58 + 164 + 215 + 25 = 462.

Out of these people, 25 prefer mountain bike, hence the relative frequency is given as follows:

25/462.

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Answer:

30 terms

Step-by-step explanation:

The n th term of an AP is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here d = 5 and a₃ = 13, thus

a₁ + 2d = 13

a₁ + 2(5) = 13

a₁ + 10 = 13 ( subtract 10 from both sides )

a₁ = 3

Thus

\(a_{n}\) = 3 + 5(n - 1) = 148 ( subtract 3 from both sides )

5(n - 1) = 145 ( divide both sides by 5 )

n - 1 = 29 ( add 1 to both sides )

n = 30

The progression has 30 terms

Answer:

im pretty sure it would be -8-(-6)=-2 for the first one

The coordinate matrix of x in Rn relative to the basis b' is [5, 6]. To find the coordinate matrix of x in Rn relative to the basis b', we need to express x as a linear combination of the basis vectors in b'.

Given the basis b' = {(9, 0), (0, 4)} and the vector x = (45, 24), we want to find the scalars c1 and c2 such that:

x = c1*(9, 0) + c2*(0, 4)

By solving this equation, we can determine the values of c1 and c2, which represent the coordinates of x in the basis b'.

Expanding the equation, we have:

(45, 24) = (9c1, 0) + (0, 4c2)

Equating the corresponding components, we get two equations:

45 = 9c1   (equation 1)

24 = 4c2    (equation 2)

Solving equation 1, we find c1 = 5.

Solving equation 2, we find c2 = 6.

Therefore, the coordinate matrix of x in Rn relative to the basis b' is [5, 6].

In other words, the vector x can be expressed as a linear combination of the basis vectors in b' with coefficients 5 and 6, respectively.

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ANSWER:

Linear function

STEP-BY-STEP EXPLANATION:

We have the following function:

A function is linear when the independent variable only has addition, subtraction, and multiplication operations on numbers.

In this case all of the above is true, therefore, it is a linear function

The value of x from given quadrilateral ABCD is 27°.

In the given quadrilateral ABCD, ∠A=3x+5, ∠B=2x+15, ∠C=4x and ∠D=4x-10.

We know that, the sum of interior angles of quadrilateral is 360°.

Here, ∠A+∠B+∠C+∠D=360°

3x+5+2x+15+4x+4x-10=360°

13x+10=360°

13x=350°

x=350/13

x=26.9

x≈27°

Therefore, the value of x from given quadrilateral ABCD is 27°.

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Answer:

The answer is 1.06x+10

Step-by-step explanation:

Well, I assume that both tickets cost the same: let's call it x.

So the tickets cost 106%x (the cost of the ticket plus tax).

The total prize of the tickets will be: 2*106% x+20.

But let's assume that you share it half-half then the answer would be 1.06x+10

The area of the figure will be 35 square cm.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The area of the triangle is given as

A = 1/2 x B x H

Where B is the base and H is the height of the triangle.

Then the area of the rectangle will be

Area of the rectangle = Length × Width square units

The area of the figure is the sum of the area of the triangle and rectangle.

A = Area of the triangle + Area of the rectangle

A = (1/2) x 10 x 3 + 10 x 2

A = 15 + 20

A = 35 square cm

Then the area of the figure will be 35 square cm.

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-5 (x - 2) - (x - 2) = 50

Open the bracket by multiplying, we have:

-5x + 10 - x + 2 = 50

Put like terms together, we have:

-5x - x + 10 + 2 = 50

-6x +12 = 50

Subtract 12 from both side, we have:

-6x + 12 - 12 = 50 - 12

-6x = 38

Divide both side by -6, we have:

x = -38/6 = -19/3 = -6 1/3

ThankThank x = -6 1/3

Hence,  when \(n=10\) the given inequality is true.

What is the inequality?

An inequality is said to be sharp if it cannot be relaxed and still be valid in general.

Here given that,

Which integer will make the inequality \(2(n + 2) < 5(n -1)\) true.

So,

\(2(n + 2) < 5(n-1)\)

When

\(n=10\\\\\\2(10+2) < 5(10-1)\\\\2(12) < 5(9)\\\\24 < 45\)

Hence,  when \(n=10\) the given inequality is true.

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Answer:

10.5

Step-by-step explanation:

2⅝×4=10.5

..............

Answer: 2x+6y<9

Step-by-step explanation: it’s the correct answer

The probability of the sum of the dots indicated greater than 5 is 13/18.

Since there are six different combinations of dots on each die, there are 36 different ways the two dice can be added together. 6*6=36

These are the values of the two die added upto greater than 5:

(1,5), (1,6), (2,4), (2,5), (2,6), (3,3), (3,4), (3,5), (3,6), (4,2), (4,3), (4,4), (4,5), (4,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6).

So, 26 out of the 36 possible sums are greater than 5, so the probability of the sum of dots being greater than 5 is 26/36 = 13/18.

So, our final answer is 13/18.

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Answer:

- 4

Step-by-step explanation:

- 1 × f(- 1) - 4g(4) = - 1 × (- 8) - 4(3) = 8 - 12 = - 4

Answer:

x° = 50°

y° = 70°

z°  = 60°

p° = 50°

(p + 10)° = 60°

(p + 20)° =70°

Step-by-step explanation:

Angles with measurements (p + 20), p and (p + 10) degrees are all on the same line. Therefore these three angles are supplementary angles. In other words the sum of these angles = 180°

Plugging in the expressions for these angles we get

(p + 20 ) + p + (p + 10) = 180°

3p + 30 = 180

Subtracting 150 from both sides,
3p = 180 - 30  = 150

p = 150/3 = 50

x is a vertically opposite angle to p.

Therefor x = p = 50°

y is vertically opposite and equal to p + 20
y = p + 20 = 50 + 20 = 70°

z is vertically opposite and equal to p + 10
z = p + 10 = 50 + 10 = 60°

Iku is correct, because the function has no real zeros because there are no x-intercepts.

We have to given that;

Iku and Zachary are finding the number of real zeros of the function graphed at the right.

Here, By graph we see that;

The graph is not cut at x - axis.

Hence, There is no real solution.

So, Iku is correct, because the function has no real zeros because there are no x-intercepts.

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