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2 years ago

Find the equation of the line passing through the points A(3,2) and B(6,3)

Mathematics

1 answer:

icang [17]2 years ago

5 0

Answer:

y = $\frac{1}{3} x+1$

Step-by-step explanation:

m = $m = \frac{change in y}{change in x} \\m = \frac{3 - (2)}{6 - (3)}\\m = \frac{1}{3} \\Find the value of b using the equation of a line \\y = mx+b\\y =( \frac{1}{3} )x + b\\2 =( \frac{1}{3} ) * (3) + b\\cancel common factor\\1 + b = 2\\b = 1\\y = \frac{1}{3} x + 1$

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Started at 15 degrees and dropped 1/2 degrees each minute

Charra [1.4K]

Answer:

7.5 should be the answer sorry if its wrong i don't have all of the information

4 0

2 years ago

A function f defined by f(x) = x² + px + q is such that f(3) = 6 and f¹(3) = 0. Find the value of q.

CaHeK987 [17]

Answer:

q = 15

Step-by-step explanation:

Given

f(x) = x² + px + q , then

f(3) = 3² + 3p + q = 6 , that is

9 + 3p + q = 6 ( subtract 9 from both sides )

3p + q = - 3 → (1)

---------------------------------------

f'(x) = 2x + p , then

f'(3) = 2(3) + p = 0, that is

6 + p = 0 ( subtract 6 from both sides )

p = - 6

Substitute p = - 6 into (1)

3(- 6) + q = - 3

- 18 + q = - 3 ( add 18 to both sides )

q = 15

5 0

2 years ago

The sum of two consecutive integers is 85. What are those two integers?

chubhunter [2.5K]

Answer:

41 and 42

Step-by-step explanation:

Let the integers be x and x + 1

=> x + x + 1 = 85

=> 2x + 1 = 85

=> 2x = 84

=> x = 84/2

=> x = 41

Integers are :

41 and 42

7 0

2 years ago

There are 5,426 people seated at tables. Each table seats 8 people.

ddd [48]

Answer:

678

679

Step-by-step explanation:

Number of people: 5426

Capacity of table: 8

How many tables are full?

Number of full tables= 5426/8= 678.25 so full part is 678

How many people are sitting at a table that is not full?

0.25 table= 8*0.25= 2 people are sitting at a table that is not full

5426 - 678*8= 2 people

How many tables are needed for all 5,426 people?

678+1= 679 tables

6 0

2 years ago

Given g(x) = x² - 6x - 16, which statement is true?

inn [45]

The correct choice of this question with the given polynomial is "The zeros are -2 and 8, because the factors of g are (x + 2) and (x - 8)". (Correct choice: H)

<h3>How to analyze a second orden polynomial with constant coefficients</h3>

In this case we have a second order polynomial of the form x² - (r₁ + r₂) · x + r₁ · r₂, whose solution is (x - r₁) · (x - r₂) and where r₁ and r₂ are the roots of the polynomial, which can be real or complex numbers but never both according the fundamental theorem of algebra.

If we know that g(x) = x² - 6 · x - 16, then the factored form of the expression is g(x) = (x - 8) · (x + 2). Hence, the correct choice of this question with the given polynomial is "The zeros are -2 and 8, because the factors of g are (x + 2) and (x - 8)". $\blacksquare$

To learn more on polynomials, we kindly invite to check this verified question: brainly.com/question/11536910

4 0

1 year ago