Help on the answer please

Polynomials are algebraic expressions consisting of terms that include real numbers, variables, and positive integer exponents. Each term in a polynomial has a variable raised to a non-negative integer power, and the coefficient of each term is a real number. Polynomials are classified by the degree of their highest power. If two or more terms in a polynomial have the same variable raised to the same power, they can be combined into a single term.

1. -x² + x - x² + 1

Combine like terms: -x² + x - x² + 1 = -2x² + x + 1

This polynomial has degree 2 because the highest power of the variable is 2.

2. x² + x + 2x³ - x

Rearrange terms: 2x³ + x² + x - x = 2x³ + x²

This polynomial has degree 3 because the highest power of the variable is 3.

3. 4x + x + x - 2

Combine like terms: 4x + x + x - 2 = 6x - 2

This polynomial has degree 1 because the highest power of the variable is 1.

4. 3x² + 4 - 3x² - 1

Combine like terms: 3x² - 3x² + 4 - 1 = 3

This polynomial has degree 0 because there is no variable term.

Therefore, the four given polynomials have degrees 2, 3, 1, and 0, respectively.

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-6a + 10 = -27

First step: subtract 10 from both sides:

-6a = -37

Now divide both sides by -6:

A = -37/-6

Simplify:

A = 37/6

Answer:

a = 37/6

Step-by-step explanation:

-6a +10 = -27

Subtract 10 from each side using the subtraction property of equality

-6a+10-10 = -27-10

-6a = -37

Divide each side by -6 using the division property of equality

-6a/-6 = -37/-6

a = 37/6

Answer:

Andre's

Step-by-step explanation

I think its Andre. I apologize if it is not.

Answer: (20, 5) or (5, 20)

Explanation: An ordered pair is made up of a set of numbers, one number for each dimension, contained in a set of parenthesis and separated by commas. In this problem, there are two dimension; red beads and blue beads. The ordered pair is comprised of the number of red beads (20) and the number of blue beads (5). Following the format previously described we get the answer (20, 5). You can also write (5, 20) since neither number depends on the other.

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

To determine the possible values for the length of the third side of a triangle, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Given that two sides have lengths 6 and 9, we can analyze the possibilities:

6 + 9 > x

x > 15 - The sum of the two known sides is greater than any possible third side.

6 + x > 9

x > 3 - The length of the unknown side must be greater than the difference between the two known sides.

9 + x > 6

x > -3 - Since the length of a side cannot be negative, this inequality is always satisfied.

Based on the analysis, the possible values for the length of the third side are:

A. 7

C. 4

□E. 10

O F. 12

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

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Answer:

3/4 = 16/x. Step-by-step explanation: Set up the original ratio: 3:4 (a.k.a. 3/4 or 3 to 4) Because 16 correlates to red paint and 3 correlates to red paint the will be in the same location (as the numerator or denominator).. Also, the amount of blue paint is unknown so that is x.4 also represents blue paint, so 4 and x will also be on the same level (as the numerator of denominator).

Step-by-step explanation:

Given two points on a line, we can find its slope using the formula below

Therefore, in our case,

Thus, the slope is equal to 1.

Answer:

The sixth rod is 35.20 cm.

Step-by-step explanation:

Get the total length of the 6 rods.

Total length = 6(44.2cm)

= 265.20 cm

Get the total length of 5 rods

Length of 5 rods = 5(46cm)

=230cm

The length of the sixth rod is the difference between the two.

Length of the sixth rod = 265.20 cm - 230 cm

length = 35.2 cm

Answer: Robert put 5 * (8) * 2 instead of putting 5 * (-8) * 2

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Answer:4

Step-by-step explanation:i did the quiz

The correct sequence of transformations that could have been used to transform rectangle ABCD to produce rectangle A"B"C"D" is:

Rectangle ABCD has translated 2 units left and then 3 units down.

We have,

From the graph,

We see that,

The sequence of transformations shifts the rectangle horizontally by 2 units to the left and vertically by 3 units downward, resulting in the new rectangle A"B"C"D" with the given coordinates

A' = (-6, -3), B' = (-6, -5), C' = (-2, -5), and D' = (-2, -3).

Therefore,

Rectangle ABCD has translated 2 units left and then 3 units down.

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The key features are (a) both f(x) and g(x) include domain values of [3, ∞) and range values of (0, ∞), and both functions are positive for the entire domain.

The functions are given as:

\(f(x) = 3^x\)

\(g(x) = \sqrt{x - 3}\)

Using a graphing calculator, we have the following highlights:

By comparing the above highlights, the true statement between functions g(x) and f(x) is option (a)

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Answer:

AB/ PQ = BC/QR

Step-by-step explanation:

In similar triangles, ratio of corresponding sides are equal.

So, \(\frac{AB}{PQ}= \frac{BC}{QR}=\frac{AC}{PR}\)

Answer:

4/8= 2/4=1/2= 50%

Step-by-step explanation:

4 out of the 8 new cars have a fuel efficiency of less than 27 mpg. that is is 50%

The equations for the line with the given properties: General form:

2x - y + 15 = 0, Slope-intercept form: y = 2x + 15

To find the equation of a line parallel to the line y = 2x and containing the point (-5, 5), we need to determine the slope of the parallel line first.

Since the given line, y = 2x, is in slope-intercept form (y = mx + b) where the coefficient of x (m) represents the slope, we can see that the slope of the given line is 2.

Parallel lines have the same slope, so the slope of the line we are looking for is also 2.

Using the point-slope form of the equation of a line, which is given by: y - y₁ = m(x - x₁), where (x₁, y₁) is the given point and m is the slope, we can substitute the values into the equation:

y - 5 = 2(x - (-5))

Simplifying:

y - 5 = 2(x + 5)

Expanding the right side:

y - 5 = 2x + 10

Rearranging the equation to the slope-intercept form:

y = 2x + 10 + 5

Simplifying further:

y = 2x + 15

So, the equation of the line parallel to y = 2x and containing the point (-5, 5) is y = 2x + 15.

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Answer:

c≤−26

hope that helped <3

The value of angle S is 53°

Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.

With this theorem we can say that

7x+2 = 4x+13+19

collecting like terms

7x -4x = 13+19-2

3x = 30

divide both sides by 3

x = 30/3

x = 10

Since x = 10

angle S = 4x+13

angle S = 4(10) +13

= 40+13

= 53°

Therefore the measure of angle S is 53°

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Answer: 160 yd³

Step-by-step explanation:

Volume for a rectangular prism is bhl

a triangular prism is half that

so V= 1/2(bhl)

      = (1/2)(5)(8)(8)

      =160 yd³

Answer:

Step-by-step explanation: multiply the exponents!

Answer:

Step-by-step explanation: 25% of Oil

25%= 1/4 in a fraction

1/4x16=4

Answer 4 Gallons

Answer:

The answer would not be 0, it would be -12, and here is why.

4x^4+ 16x+31x^2=62x-90.

In thia case i ignpored the variable, i think its a variable..

You woulkd add 62+16, you get 78.

78-90= -12

Your question was incomplete. Please refer below to find the table in the image.

We need to know about powers and indices to solve the problem. The value of nonzero number raised to the power of 0 is 1.

When a number is raised to a certain power, it can be simplified as the number is multiplied to itself the number of times as the power. For example if we write \(2^{3}\) we mean 2x2x2 which is 8. Similarly in this question we have to find the various powers of 9, the answer to \(9^{4}\) is given, we need to find for the powers 3,2,1, and finally 0.

\(9^{3}\)=9x9x9=729

\(9^{2}\)=9x9=81

\(9^{1}\)=9

\(9^{0}\)=1

When any nonzero number is raised to the power of zero the result is one.

Therefore we found out using the concept of powers and indices that the value of a nonzero number raised to the power of 0 is 1.

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CenterWare's direct labor rate variance is $2,100 unfavorable, indicating that the actual rate paid for labor was higher than the standard rate. The direct labor efficiency variance is $2,500 favorable, suggesting that the company achieved higher productivity than expected. The total variance for direct labor is $400 favorable.

To compute the direct labor rate variance, we need to calculate the difference between the actual rate and the standard rate, and then multiply it by the actual hours worked. The formula for the rate variance is (Actual Rate - Standard Rate) × Actual Hours. In this case, the standard rate is $21.00 per hour, and the actual rate is $18.00 per hour. The actual hours worked are 2,500 DLH. Plugging in these values, we find the direct labor rate variance to be ($18.00 - $21.00) × 2,500 = -$7,500, indicating an unfavourable variance.

To calculate the direct labor efficiency variance, we need to find the difference between the actual hours worked and the standard hours allowed, and then multiply it by the standard rate. The formula for the efficiency variance is (Actual Hours - Standard Hours) × Standard Rate. The standard hours allowed are 2,000 DLH (1,000 pots × 2.0 hours per pot). Substituting the values, we get (2,500 - 2,000) × $21.00 = $10,500, indicating a favorable variance.

The total variance for direct labor is the sum of the rate variance and the efficiency variance. In this case, the total variance is -$7,500 + $10,500 = $3,000, which is favorable, indicating that the company performed better than expected in terms of labor cost and efficiency.

The responsibility for the rate variance generally lies with the purchasing department, as they are responsible for negotiating labor rates and purchasing materials at the standard price. The efficiency variance is typically the responsibility of the production department, as they are accountable for achieving the standard labor hours and maximizing productivity.

The rate variance reflects the difference between the actual rate paid for labor and the standard rate. An unfavorable rate variance suggests that the company paid more for labor than anticipated, which could be due to factors like higher wages or inefficient labor management. Conversely, a favorable rate variance would indicate cost savings in labor.

The efficiency variance measures the productivity of labor and represents the difference between the actual hours worked and the standard hours allowed. A favorable efficiency variance implies that the company achieved higher productivity or used fewer labor hours than expected. It could result from factors such as skilled and efficient labor, improved production processes, or effective workforce management.

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The GCD is \(x+1\), so \(x+1\) divides both \(x^2+ax+b\) and \(x^2+bx+c\). For some \(\alpha\) and \(\beta\) we can write

\(x^2 + ax + b = (x + 1) (x - \alpha)\)

\(x^2 + bx + c = (x + 1) (x - \beta)\)

Expanding the right sides, we get

\(x^2 + ax + b = x^2 + (1 - \alpha) x - \alpha\)

\(x^2 + bx + c = x^2 + (1 - \beta) x - \beta\)

\(x+1\) also divides the LCM, so

\(x^3 - 4x^2 + x + 6 = (x + 1) (x - \alpha) (x - \beta)\)

and expanding gives

\(x^3 - 4x^2 + x + 6 = x^3 + (1 - \alpha - \beta) x^2 + (\alpha \beta - \alpha - \beta) x + \alpha \beta\)

Matching up all the coefficients, we have

\(\begin{cases} a = 1 - \alpha \\ b = -\alpha \\ b = 1 - \beta \\ c = -\beta \\ -4 = 1 - \alpha - \beta \\ 1 = \alpha \beta - \alpha - \beta \\ 6 = \alpha \beta \end{cases} \implies \alpha + \beta = 5\)

All the unknowns are integers, and we have the prime factorization 6 = 2×3 that also satisfies 5 = 2 + 3.

• If \(\alpha=2\) and \(\beta=3\), then \(a=-1\), \(b=-2\), and \(c=-3\).

• If \(\alpha=3\) and \(\beta=2\), then there is no solution for \(a,b,c\) since

\(\begin{cases}b = -\alpha \\ b = 1-\beta \end{cases} \implies \alpha = \beta - 1\)

but 3 ≠ 2 - 1 = 1.

It follows that \(a + b + c = -1 - 2 - 3 = \boxed{-6}\).

Answer:

a =14.3178211

Step-by-step explanation:

a^2 +B^2=C^2

13^2+6^2=C^2

169+36=C^2

205=C^2

C=14.3178211= LENGTH OF AC

Answer:

–4(x + 3) = 4(–x – 1) and 6x + 1 = 3(2x – 4)

Step-by-step explanation:

Answer:

1 ans 5

Step-by-step explanation:

no solution              –––

6x + 1 = 3(2x - 4)

6x + 1 = 6x - 4

6x - 6x + 1 = 6x - 6x - 4

1 ≠ -4

one solution

2 - 5x = 7x - 12

2 -5x + 5x = 7x + 5x - 12

2 = 12x - 12

2 + 12 = 12x - 12 + 12

14 = 12x

x = 14/12

infinite solutions

4(3 - x) = 2(6 - 2x)

12 - 4x = 12 - 4x

12 - 12 - 4x + 4x = 12 - 12 - 4x + 4x

0 + 0 = 0 + 0

0 = 0

one solution

5(x + 2) = 2(x - 4)

5x + 10 = 2x - 8

5x - 5x + 10 + 8 = 2x - 5x - 8 + 8

18 = -3x

x = -6

no solution                            –––

-4(x + 3) = 4(-x - 1)

-4x + 4x - 12 = -4x + 4x - 4

-12 ≠ -4

Answer:

Yes

Step-by-step explanation:

48000

27 x 40 x 50 (pay per hour + hours + weeks in a year)

=54000

He should take the job, 54000>48000 (per yr)

If P(B)=0.3, P(A|B)=0.5, P(B')=0.7and P(A|B')=0.8, then the value of the probability P(B|A)= 0.2113

To find the value of P(B|A), follow these steps:

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