I just need help pleaseee

The result is not equal to zero, (x - 10) is not a factor of x² + 3x - 40.

None of the given expressions (A, B, C, D) are factors of x² + 3x - 40.

To determine which expression is a factor of the given quadratic expression, we need to check if substituting the value from each expression into the quadratic expression results in zero. Let's evaluate each option:

A. (x - 4)

Substituting x - 4 into x² + 3x - 40:

(x - 4)² + 3(x - 4) - 40 = x² - 8x + 16 + 3x - 12 - 40 = x² - 5x - 36

Since the result is not equal to zero, (x - 4) is not a factor of x² + 3x - 40.

B. (x - 5)

Substituting x - 5 into x² + 3x - 40:

(x - 5)² + 3(x - 5) - 40 = x² - 10x + 25 + 3x - 15 - 40 = x² - 7x - 30

Since the result is not equal to zero, (x - 5) is not a factor of x² + 3x - 40.

C. (x - 8)

Substituting x - 8 into x² + 3x - 40:

(x - 8)² + 3(x - 8) - 40 = x² - 16x + 64 + 3x - 24 - 40 = x² - 13x

Since the result is not equal to zero, (x - 8) is not a factor of x² + 3x - 40.

D. (x - 10)

Substituting x - 10 into x² + 3x - 40:

(x - 10)² + 3(x - 10) - 40 = x² - 20x + 100 + 3x - 30 - 40 = x² - 17x + 30

Since the result is not equal to zero, (x - 10) is not a factor of x² + 3x - 40.

None of the given expressions (A, B, C, D) are factors of x² + 3x - 40.

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The first five terms will be -4, 3, 10, 17 and 24.

The 34th term will be 227

An arithmetic sequence is one in which each phrase grows by adding or removing a certain constant, k. The difference between consecutive terms in an arithmetic series is always the same and is known as the common difference d.

Based on the information, it should be noted that the AP is given as An = - 11 + 7b

First term = -11 + 7(1) = -4

Second term = -11 + 7(2) = 3

Third term = -11 + 7(3) = 10

Fourth term = -11 + 7(4) = 17

Fifth term = 24

The 34 term will be:

= -11 + 7(34)

= 227

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Given the explicit formula for an arithmetic sequence find the first five terms and the term named in the problem. An=-11+7b. Find a34

Answer:

C) 3^3*x^-3

Step-by-step explanation:

okay, so let's just find the numerator and denominator separately

So 27 is equal to 3^3. Numerator done.

Now for the denominator:

You need to know the laws of indices, specifically the one which says that square root of something is the same as to the power of 1/2, where the 1 signifies the power of the number inside the root and the 2 is for the square root. This means that the cube root would be power of 1/3.

So here cube root of x^9, would be equivalent to x^9/3, which can be simplified to x^3/1 ---> x^3.

This leaves us with 3^3/x^3. However, this isn't an option. We need to simplify the divide part of the expression. We can do that by using another law of indices which states that anything to the power of a negative number is the same as 1 over that number. (For example, x^-5 = 1/x^5) If there are numbers in front of the x, then that number would replace the 1, such as the following example: 9x^-3 = 9/x^3.

In this question, our 3^3/x^3 could be changed using this law to give, 3^3*x^-3

I hope this made sense and was helpful :))

Answer:

-2

Step-by-step explanation:

1-(6-3)

multiply the negative into the bracket so it becomes

= 1-6+3

= -2

Answer:

A

Step-by-step explanation:

pgt states if the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

Answer:

Does the answer help you?

Answer:

subtract the numbers\(9 - 4 =5 = -5a + 5\)

Step-by-step explanation:

( a ) = a

( 9 - 2a ) = 9 - 2a

= 9 - 2a - 4 -3a

- (a + b ) = -a -b

-( 4 + 3a ) = -4 - 3a

= - 2a - 3a + 9 - 4

- 2a - 3a = - 5a       = -5a + 9 - 4

give me a thanks

Answer:

It would be the first option.

f(x) = -2 |x| + 1

Answer:

Infinite many solutions

Step-by-step explanation:

Answer:

3b = 3 x 5

3 x 5 + 10 = 15 + 10 = 25

The equation that can be used to find the speed of the current, c, in miles per hour is 3(15 - c) = 2(15 + c). The boat's speed when going upstream can be given by⇒ the speed in calm water - the speed of the current. Similarly, the boat's speed when going downstream can be given by⇒ the speed in calm water + the speed of the current.

To explain this equation:
- The boat's speed in calm water is given as 15 mph.
- When traveling upstream (against the current), the boat takes 3 hours to travel a certain distance.
- When traveling downstream (with the current), the boat takes 2 hours to travel the same distance.
- The speed of the current affects the boat's overall speed, so we need to find the value of c.

Distance traveled by the boat upstream = speed x time = (15-c) x 3

Distance traveled by the boat downstream = speed x time = (15+c) x 2

We know that both the distances are same.
So ⇒ 3(15 - c) = 2(15 + c)

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A graph of the linear function y = -2x/3 + 490 in slope-intercept form is shown in the image attached below.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

Next, we would rearrange and simplify the given given linear equation in slope-intercept form in order to enable us plot it on a graph:

2x + 3y = 1,470

3y = -2x + 1,470

y = -2x/3 + 1,470/3

y = -2x/3 + 490

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When a hollow plastic ball is projected into the air, there is air resistance opposing its motion. The magnitude of the ball's acceleration is not equal to zero. At time t, the ball is moving up and to the right at a 45-degree angle to the horizontal.

The acceleration of the ball can be determined by considering the forces acting on it. Since there is air resistance opposing the ball's motion, its acceleration is less than the acceleration due to gravity (g). Therefore, the statement "a < g" best represents the magnitude and direction of the ball's acceleration at time t. This means that the ball's acceleration is directed downward but is smaller than the acceleration due to gravity. The presence of air resistance affects the ball's motion and causes its acceleration to be less than the acceleration due to gravity.

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Pool Capacity = 540 gallons

Saturday = 180 gallons

Hose water rate = 9 gallons per minute

540 = 180+9m

Where m is the number of minutes (independent variable)

Solve for m :

540-180 = 9m

360 = 9m

360/9= m

40 =m

It will take 40 minutes.

Answer:

First Answer Yay

Answer:

Step-by-step explanation:

is this in college?

The scale factor that was used to create the image, given the graph, would be C. 1 / 4.

To find the scale factor that was used to create the image, we can take the measurement of the distance of AB . The graph shows that if each cell is 1 unit, then the distance of AB would be 8 units.

By the same logic, the distance of A'B' would be 2 units.

The scale factor is therefore:

= Distance of image created / Distance of corresponding side on original image

= 2 / 8

= 1 / 4

In conclusion, the scale factor is 1 / 4 .

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Answer:

11

Step-by-step explanation:

2v = 47-25

2v = 22

v = 11

Amount of pretzel each person receives is 17/16 lb.

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Here, a is called the numerator and b is called the denominator.

Total weight of the bag of pretzels = 34 ounce

Elisa shares this among her two sisters equally.

Share of pretzels each sister gets = 34 / 2 = 17 ounces

We need this amount in pounds.

We know that,

16 ounce = 1 lb.

17 ounces = 17/16 lb.

Hence the amount of pretzels each get is  17/16 lb.

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The value of x in the triangle is 70°

A scalene triangle is a plane figure that has 3 different length sides and 3 different angles. The sum of all the angles in a scalene triangle is equal to 180°

i.e

\(\mathbf{\hat x + \hat y + \hat z = 180 ^0}\)

Then;

\(\mathbf{\hat x + 60^0 + 50^0 =180^0}\)

x + 110° =180°

x = 180° - 110°

x = 70°

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The sorted order of the impairs [3 7], [4 6], [3 4] using impair. compare to would be:
[C] [3 2], [4 6], [3 7]

When comparing in pairs using impair. compare to, the first element taking priority over the second element. So, in the list [3 7], [4 6], [3 4], the impair [3 2] would come first because 3 is smaller than both 4 and 3, and the second element (2) is also smaller than the second element of the other in pairs. Then, the impair [4 6] would come next as it has the second smallest first element, and finally, the impair [3 7] would come last as it has the largest first element. Therefore, the sorted order is [3 2], [4 6], [3 7], denoted as option C.

To sort the given list of in pairs ([3 7], [4 6], [3 4]) using impair. compared, follow these steps:

1. Compare the first elements of the in pairs (3, 4, and 3). If there is a tie, move to step 2.
2. Compare the second elements in pairs with the same first elements (7 and 4).
3. Arrange the impairs in ascending order based on the comparison results.

The sorted order is [3 4], [3 7], [4 6]. However, this order is not present in the given options. Please check the question for any discrepancies or provide the correct in pairs to sort.

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The sorted order of the impairs [3 7], [4 6], [3 4] using impair. compare to would be:

[C] [3 2], [4 6], [3 7]

When comparing in pairs using impair. compare to, the first element taking priority over the second element. So, in the list [3 7], [4 6], [3 4], the impair [3 2] would come first because 3 is smaller than both 4 and 3, and the second element (2) is also smaller than the second element of the other in pairs. Then, the impair [4 6] would come next as it has the second smallest first element, and finally, the impair [3 7] would come last as it has the largest first element. Therefore, the sorted order is [3 2], [4 6], [3 7], denoted as option C.

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Answer:

Juan purchased 16 lemons and used 5 on the first day of making lemonade. On the second day, he purchased 12 lemons and used 11. Juan wrote this expression to find how many lemons he should have left.

Step-by-step explanation:

11+1=12

Answer: Yes, No

Step-by-step explanation:

If the variables are not quantitative we cannot do the arithmetic required in the formulas for r.

Quantitative order:

Therefore, if the variables are not quantitative we cannot do the arithmetic required in the formulas for r.

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Answer:

y = 3(x-1) + 3

This is because the 1 equals h in this equation and 3 equals k, which will give you the point (1,3)

Combining both cases, we can conclude that the congruence f(x) ≡ 0 (mod \(p^2\)) has either \(p^2\)solutions or at most \(p^2\) - p + 1 solutions in Z/\(p^2\)Z.

To prove the given statement, let's assume that f(x) ≡ 0 (mod \(p^2\)) is the congruence equation with f(x) being a polynomial with integer coefficients and p being a prime.

We can use the fact that a polynomial of degree n has at most n distinct solutions in a field. In this case, Z/\(p^2\)Z is the field we are considering.

Now, if f(x) ≡ 0 (mod \(p^2\)) has a solution x = a, then by the Factor Theorem, we can write f(x) = (x - a)g(x), where g(x) is another polynomial with integer coefficients.

Since f(x) has integer coefficients, we can express g(x) as g(x) =\(c_0\)+ \(c_1x\) + \(c_2x^2\) + ... + \(c_mx^m\).

Now, substituting f(x) = (x - a)g(x) into the congruence equation, we get (x - a)g(x) ≡ 0 (mod \(p^2\)).

Expanding this equation, we have (x - a)(\(c_0 + c_1x + c_2x^2 + ... + c_mx^m\)) ≡ 0 (mod \(p^2\)).

From this equation, we can see that either (x - a) ≡ 0 (mod \(p^2\)) or (\(c_0 + c_1x + c_2x^2 + ... + c_mx^m\)) ≡ 0 (mod \(p^2\)).

Case 1: (x - a) ≡ 0 (mod \(p^2\))

In this case, we have a solution x ≡ a (mod \(p^2\)). Since p is a prime, there are exactly p^2 possible values for x ≡ a (mod \(p^2\)).

Case 2: (\(c_0 + c_1x + c_2x^2 + ... + c_mx^m\)) ≡ 0 (mod \(p^2\))

In this case, we have a polynomial of degree m, and according to the fact mentioned earlier, it can have at most m solutions in Z/\(p^2\)Z. Since m is the degree of g(x), it follows that m ≤ \(p^2\) - p.

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The analysis of the statements with regards to the confidence interval, indicates;

1. True; A correct interpretation is "We are 95% confident that the population proportions of Millennials who are fully engaged in the workplace is between 0,07 below and 0.01 above of Gen X'ers who are fully engaged in the workplace".

A confidence interval is a range of values that based on a specified confidence level, is more likely to contain a true value of a population parameter.

The confidence interval for the difference in proportions is the range or values set that is very likely to contain the true or actual difference between two population within a specified confidence level.

The formula for the confidence interval for the difference two population proportion can be presented as follows;

C. I. = (p₁ - p₂) ± z × √(p₁·(1 - p₁)/n₁ +  p₂·(1 - p₂)/n₂)

The specified 95% confidence interval is; C. I. = (-0.07, 0.01)

The interpretation of the above confidence interval is that we are 95% sure that the proportion of Millennials who are fully engaged in the workplace is between -0.07, which is 0.07 less than the population proportion of Gen X'ers who are fulyt engaged and 0.01 above or 0.01 more than the population of Gen X'ers who are fully engaged in the workplace.

1. True;The first statement is therefore true

2. False; More information is required for the second statement, therefore, the second statement is false

3. False; More information is required for the third statement, therefore, the third statement is false

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Answer: Mesocyclone

Step-by-step explanation:

If a number is multiplied by 8 instead of 5, the product increases by 39

to find: the number

Let the number be x

Product of number is and 8 = 8x

Product of number is and 5 = 5x

A number is multiplied by 8 instead of 5, the product increases by 39

so,     8x-5x=39

         3x=39

          x=13

so,

Hence the number is 13

Multiplication is an arithmetic operation, where we find the product of two or more than two numbers.

The Number System contain any of the numerous sets of symbols and the rules for using them to denote numbers, which are used to state how many objects are there in a given set.

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The height of the pillar is 14 feet.

We can use the ratio of the building's height to the length of its shadow to solve for the pillar's height and apply it to the pillar as well. This is because similar-shaped objects will produce shadows that are proportional to their size.

Let h represent the pillar's height, and let's establish a proportion:

height of building / length of building's shadow = height of pillar / length of pillar's shadow

Substituting the given values:

70 / 50 = h / 10

We can simplify this proportion by cross-multiplying:

70 x 10 = 50h

700 = 50h

And solving for h:

h = 700 / 50 = 14

Therefore, the height of the pillar is 14 feet.

In conclusion, we can solve for the pillar's height by establishing a ratio between the building's height and the length of its shadow and applying that ratio to the pillar.

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