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3 years ago

Which Polynomial represents the difference below?

Mathematics

2 answers:

Ad libitum [116K]3 years ago

8 0

Answer:

The answer is B

Step-by-step explanation:

5x² +9x +3 - (6x ² -3x)

this is easier if you distribute the negative in front of the perenthesis so...

5x² +9x +3 + (-6x² + 3x)

then you just combine the terms with the same variable and exponent

-x² +12x +3

pishuonlain [190]3 years ago

3 0

Answer:

5x² +9x+3−(6x²−3x)

1 Remove parentheses.

5x²+9x+3−6x²+3x

2 Collect like terms.

(5x² −6x² )+(9x+3x)+3

3 Simplify.

-x² +12x+3 which is B

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The equation below model the numbers of two portable music players (y) and days after both players were introduced (x).

soldier1979 [14.2K]

Answer:

a. On the 13th day

b. 2,451 players we’re sold on that day

Step-by-step explanation:

a. The day in which the company sold the same number of players can be calculated by equating the values of y that we have ;

y = 191x-32 and y = -x^2 + 200x + 20

Equating both, we have;

191x-32 = -x^2 + 200x + 20

x^2 -200x + 191x-20-32 = 0

x^2-9x-52 = 0

x^2-13x + 4x -52 = 0

x(x-13)+4(x-13) = 0

(x-13)(x+4) = 0

x = 13 or -4

as days cannot be negative we choose only x = 13

This means the company sold equal numbers of players on the 13th day

b. To get the number of players sold on that day, we choose any of the y equation and substitute x = 13

Thus, we have for y = 191x -32; 191(13) - 32 = 2,451 players

4 0

3 years ago

A standard coffee mug has a capacity of 16 fluid ounces. If Anni needs to fill 26 mugs with coffee, how many total quarts of cof

aksik [14]

13 quarts of coffee

5 0

3 years ago

Read 2 more answers

Many fast-food restaurants have soft drink dispensers with preset amounts, so that when the operator merely pushes a button for

antiseptic1488 [7]

Answer:

Alternative hypothesis is that Worker productivity is higher with automatic dispensers.

The Rank for Group1 is 115.5 and Group 2 is 55.5.

Conclusion is that Worker productivity is higher with automatic dispensers.

Step-by-step explanation:

The null and alternative hypotheses are

H0: Group1 ≤ Group2 against the claim

Ha: Group1 > Group2

Alternative hypothesis is that Worker productivity is higher with automatic dispensers.

Calculations:

Group1 Group2

Sample Mean x ` 139.22 114.67

Sample size n 9 9

Sample SD 18.21 11.937

Rank 115.5 55.5

U 10.5 70.5

The Rank for Group1 is 115.5 and Group 2 is 55.5.

1. H0 hypothesis

As p-value < alpha and Z lies in the critical region, H0 is rejected.

The randomly selected value of Group1's population is considered have greater productivity than the randomly selected value of Group2's population.

2. P-value

The p-value equals 0.0046.

3. Test statistics

Z= u-μ+c/σ

The critical region for one tailed test for z at 0.01 significance level is

z > 2.33.

The test statistic Z equals 2.6063, which lies in the critical region of acceptance z> 2.326

4. Conclusion

As the calculated test statistic lies in the critical region H0 is rejected and it is concluded that

Worker productivity is higher with automatic dispensers. 

4 0

3 years ago

Solve the equation 4b + 22 = 5(b + 4) − 1

djverab [1.8K]

4b + 22 = 5 (b + 4) - 1 (remove the parantheses)

4b + 22 = 5b + 20 - 1 (calculate)

4b + 22 = 5b + 19 (move the terms)

4b - 5b = 19 - 22 (collect like terms and calculate)

-b = -3 (change the signs)

b = 3

3 0

3 years ago

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Graph the image of the given triangle under a dilation with a scale factor of 1/3 and center of dilation (0, 0) .

Vinil7 [7]

We are given : A scale factor of 1/3 and center of dilation (0, 0).

For the given image, the coordinates of the vertices of the triangle are

(0,9), (0,0) and (-6,0).

We can apply formula for finding new coordinates:

Scale factor * [Vertex coordinates of the given image - Coordinate of Center of dilation] +Coordinate of Center of dilation.

Applying same formula to each coordinates we are given.

(0,9) --> 1/3 [ (0,9) - (0,0) ] + (0,0) ] = 1/3 [ (0,9)] +(0,0) = (0,3).

(0,0) --> 1/3 [ (0,0) - (0,0) ] + (0,0) ] = 1/3 [ (0,0] +(0,0) = (0,0).

(0,9) --> 1/3 [ (-6,0) - (0,0) ] + (0,0) ] = 1/3 [ (-6,0)] +(0,0) = (-2,0).

Now, we can plot those resulting coordinates on the graph and form a triangle.

6 0

3 years ago

Read 2 more answers