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4 years ago

I need help. I don't understand this and need to complete this to be eligible for football this thursday.

Mathematics

1 answer:

lapo4ka [179]4 years ago

6 0

Answer:

2) Definition of vertical angles

3) Definition of congruence

4) proven

Step-by-step explanation:

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What is the difference of the polynomials?

Vilka [71]

Answer:

$8r^6s^3-5r^5s^4+r^4s^5+5r^3s^6$

Step-by-step explanation:

We want to simplify;

$(8r^6s^3-9r^5s^4+3r^4s^5)-(2r^4s^5-5r^3s^6-4r^5s^4)$

We expand the bracket to obtain;

$8r^6s^3-9r^5s^4+3r^4s^5-2r^4s^5+5r^3s^6+4r^5s^4$

We now group the like terms to obtain;

$8r^6s^3-9r^5s^4+4r^5s^4+3r^4s^5-2r^4s^5+5r^3s^6$

We now simplify to get;

$8r^6s^3-5r^5s^4+r^4s^5+5r^3s^6$

The correct answer is C

3 0

4 years ago

Read 2 more answers

Can someone help me with these two questions?PLS

Arturiano [62]

I think the first question only has one solution
because all u need to do is to just move x to one side and the numbers to the other side

8 0

3 years ago

Read 2 more answers

Ben and Alyssa play a game in which they earn the same number of points for each goal and lose the same number of points for eac

Nadya [2.5K]

Answer:

Each goal gives 5 points and a penalty costs 7 points.

Step-by-step explanation:

Let a penalty cost = x points

And a goal gives = y points

Ben makes 7 goals and 2 penalties ending the game with 21 points,

7y - 2x = 21 --------(1)

Alyssa makes 10 goals and 8 penalties ending the game with (-6) points,

10y - 8x = -6

5y - 4x = -3 --------(2)

Equation (1) multiplied by 2, then subtracted from equation (2),

(5y - 4x) - 2(7y - 2x) = -3 - 2(21)

5y - 4x - 14y + 4x = -3 - 42

-9y = -45

y = 5

From equation (1)

7(5) - 2x = 21

35 - 2x = 21

2x = 35 - 21

2x = 14

x = 7

Therefore, each goal gives 5 points and a penalty costs 7 points.

5 0

3 years ago

Piece-wise functions

wolverine [178]

Answer:

see the attachment for a graph
domain: all real numbers
range: -6 and y>-5

Step-by-step explanation:

The graph below was created by a graphing utility.

It shows no horizontal gaps: f(x) is defined for all values of x, so the domain is all real numbers.

It shows a vertical gap between y=-6 and y>-5. So, the range is in two parts:

{-6} ∪ {y > -5}

4 0

3 years ago

The mean hourly wage for employees in goods-producing industries is currently (Bureau of Labor Statistics website, April, 12, 20

abruzzese [7]

Complete Question:

The mean hourly wage for employees in goods-producing industries is currently $24.57 (Bureau of Labor Statistics website, April, 1 2, 201 2). Suppose we take a sample of employees from the manufacturing industry to see if the mean hourly wage differs from the reported mean of $24.57 for the goods-producing industries. State the null and alternative hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries

Answer:

Null hypothesis, H₀ : μ = 24.57

Alternative hypothesis, $H_{a}$ : μ ≠ 24.57

Step-by-step explanation:

The mean hourly wage for the goods producing industry = $24.57

Since we want to see if the mean of hourly wage for the manufacturing industry is equal to $24.57( The mean f hourly wage for the good producing industry)

Therefore the, null hypothesis will be that there is no significant difference between the means of the hourly wages of both the goods producing and the manufacturing industries, while the alternative hypothesis will be that the means of their hourly wages are significantly different

Null hypothesis, H₀ : μ = 24.57

Alternative hypothesis, $H_{a}$ : μ ≠ 24.57

8 0

3 years ago