1 poitWhat is the equation of the line in slope-intercept form of the line passing
through (1, 4) and (6, -1)? *
O y = x + 5
O y = -x + 5
y = x-5
O y = -x-5
Send me a copy of my responses.

Answers

Answer 1
Answer:

Answer:

Its y= -x+5

Step-by-step explanation:

see image


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Sample annual salaries​ (in thousands of​ dollars) for employees at a company are listed. 51  53  48  62  34  34  51  53  48  30  62  51  46 ​(a) Find the sample mean and sample standard deviation. ​(b) Each employee in the sample is given a ​$5000 raise. Find the sample mean and sample standard deviation for the revised data set. ​(c) Each employee in the sample takes a pay cut of ​$2000 from their original salary. Find the sample mean and the sample standard deviation for the revised data set. ​(d) What can you conclude from the results of​ (a), (b), and​ (c)?

How do you show 239+132 integer form to polynomial form

Answers

Answer:

The answer is "371"

Step-by-step explanation:

First polynomial value = 239

Second polynomial value = 132

Adding the value: = 239+ 132

                               = \boxed{\bold{371}}

The final answer is 371, which is also known as monomial.

X+3x-2=6x-12 please help

Answers


x + 3x - 2 = 6x - 12 \n4x - 2 = 6x - 12 \n  - 4x \:  \:  \:  \:  \:  \:  \:  \:  - 4x \n  - 2 = 2x - 12 \n  + 12 \:  \:  \:   \:  \:  \:  \:  \:  \: + 12  \n 10 = 2x \n  / 2 \:  \:  \:  / 2 \n 5 = x \n check \n x + 3x - 2 = 6x - 12 \n 5 + 15 - 2 = 30 - 12 \n 18 = 18

steve must pay 28% of his salary in federal income tax. If his salary is 168,000, how much is his federal income tax

Answers

Answer:

Step-by-step explanation:

168000*28%=47,040

Multiply. 42.9 × 3.45

Answers

Answer:

42.9 x 3.45 = 148.005 exactly or 148 rounded

Answer:

Hi! The answer to your question is 148.005

Step-by-step explanation:

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F(x)=5x2−3x−1 and g(x)=2x2−x+3f(x)+g(x)=
Question 18 options:

3x2−4x−4

3x2−2x−4

7x2+4x+3

7x2−4x+2

Answers

Answer:

f(x) + g(x) = 7x² - 4x + 2

General Formulas and Concepts:

Algebra I

  • Combining Like Terms

Step-by-step explanation:

Step 1: Define

f(x) = 5x² - 3x - 1

g(x) = 2x² - x + 3

Step 2: Find f(x) + g(x)

  1. Substitute:                                f(x) + g(x) = 5x² - 3x - 1 + 2x² - x + 3
  2. Combine like terms (x²):          f(x) + g(x) = 7x² - 3x - 1 - x + 3
  3. Combine like terms (x):            f(x) + g(x) = 7x² - 4x - 1 + 3
  4. Combine like terms (Z):           f(x) + g(x) = 7x² - 4x + 2

Suppose an airline policy states that all baggage must be box shaped with a sum of​ length, width, and height not exceeding 96 in. What are the dimensions and volume of a​ square-based box with the greatest volume under these​ conditions?

Answers

Answer:

Step-by-step explanation:

As the base is a square so the length is a, width is a and the height is h.

According to the question,

a + a + h = 96

h = 96 - 2a     .... (1)

Volume of the box, V = length x width x height

V = a x a x h

V = a² (96 - 2a)    from equation (1)

V = 96a² - 2a³

Differentiate both sides

(dV)/(da)=192 a -6a^(2)

Now put it equal to zero.

192 a - 6a² = 0

a = 32 in

h = 96 - 2 x 32

h = 32 in

Thus, the length and the width os teh base is 32 in and the height is 32 in.

Final answer:

A square-based box with the greatest volume under a restriction of the sum of length, width, and height not exceeding 96 inches must have each dimension equal to 32 inches. Therefore, its volume will be 32x32x32 = 32,768 cubic inches.

Explanation:

A square-based box with the greatest volume that can fit the airline's restrictions would have each side (length, width, height) be exactly one third of the total permitted sum, namely 32 inches each, because the volume of a square-based box (a cube in this specific case) is calculated by cubing the edge length. This is due to the nature of a cube, where all sides are equal.

So, the volume of the box would be 32in x 32in x 32in = 32,768 cubic inches. This is the maximum volume because the mathematical principle that for a given sum S of width, length & height, a cube always takes up the most volume.

Learn more about Optimization in Mathematics here:

brainly.com/question/32199704

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