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

Its y= -x+5

Step-by-step explanation:

see image

## Related Questions

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

Step-by-step explanation:

First polynomial value = 239

Second polynomial value = 132

=

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

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

Step-by-step explanation:

168000*28%=47,040

Multiply. 42.9 × 3.45

42.9 x 3.45 = 148.005 exactly or 148 rounded

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

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?

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

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.

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.