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Salsk061 [2.6K]
3 years ago
15

Binomial Coefficients (30pts) 1. Write (a + b)^2 as a polynomial in standard form. Show work (FOIL/distributive property).

Mathematics
1 answer:
Darina [25.2K]3 years ago
4 0

Answer:

a^2 + 2ab + b^2

Step-by-step explanation:

Given

(a + b)^2

Required

Express as a standard polynomial

We have:

(a + b)^2

Rewrite as:

(a + b)(a + b)

Open bracket

a^2 + ab + ab + b^2

Add like terms

a^2 + 2ab + b^2

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Which data set has the largest range? A. 55, 57, 59, 60, 61, 49, 48 B. 21, 25, 14, 16, 29, 22, 20 C. 12, 15, 16, 19, 18, 15, 27
irina [24]

Answer:

Step-by-step explanation:

Data D has the largest range.

Data A: 61-48=13

Data B: 29-14=15

Data C:27-12=15

Data D:54-31=23

8 0
2 years ago
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Which function has a greater y value if x=2<br> O<br> Blue<br> Red
LenaWriter [7]

Answer:

Guessing the answer should be the blue one because it is going up the graph steeper.

Step-by-step explanation:

4 0
3 years ago
In your biology class, your nal grade is based on several things: a lab score, scores on two major tests, and your score on the
Mariana [72]

Complete Question

In your biology class, your final  grade is based on several things: a lab score, scores on two major tests, and your score on the final exam. There are 100 points available for each score. However, the lab score is worth 25% of your total grade, each major test is worth 22:5%, and the final exam is worth 30%. Compute the weighted average for the following scores: 92 on the lab, 81 on the first major test, 93 on the second major test, and 85 on the final exam. (Enter your answer to one decimal place)

Answer:

The weighted average is  W = 87.65

Step-by-step explanation:

From the question we are told that

  The worth of the lab score is  25% of total grade

  The worth of each major  test is   22.5% of total grade

   The worth of final exam is  30% of total grade

The  score on lab is  92

The score on first major test 81

The score on second major test 93

 The score on final  exam is  85

Generally the weighted score is mathematically represented as

     W = 0.25 *  92 + 0.225* 81 + 0.225* 93 +0.30 * 85

=> W = 0.25 *  92 + 0.225* 81 + 0.225* 93 +0.30 * 85

=> W = 87.65

   

   

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3 years ago
BREE<br> In which diagram do angles 1 and 2 form a linear pair?<br> 1<br> 2
Tresset [83]
Where’s the diagrams???
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2 years ago
Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for 15 hours. Together the
klasskru [66]

The rate charged per hour by each mechanic was:  x = 75 $ / hr and y = 115 $ / hr.

<h3>What is a system of equations?</h3>

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given;

The first mechanic worked for 20 hours, and the second mechanic worked for 15 hours.

Together they charged a total of $3225.

For this case we have the following variables:

x be the amount of $ / hr that the mechanic obtains 1.

y be the amount of $ / hr obtained by mechanic 2.

An equation to express this would be:

x + y = 190

20x + 15y = 3225

Solving the system of equations we have:

20x + 15(190 -x) = 3225

20x + 2850 - 15x = 3225

5x = 375

x = 75

simililary

y = 190 - x

y = 115

Hence, the rate charged per hour by each mechanic was:

x = 75 $ / hr

y = 115 $ / hr

Learn more about equations here;

brainly.com/question/10413253

#SPJ1

6 0
2 years ago
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