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3 years ago

Which equation represents the line that passes through the points (8,1) and (-8,3)

Mathematics

1 answer:

lilavasa [31]3 years ago

6 0

Answer:

y=-1/8x+2

Step-by-step explanation:

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Determine the value of k

KATRIN_1 [288]

Answer:

$\displaystyle k = 6$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Functions
Function Notation

Algebra II

Piecewise Functions

Calculus

Limits
Continuity

Step-by-step explanation:

Step 1: Define

Identify

Continuous at x = 2

$\displaystyle f(x) = \left \{ {{2x^2 \ if \ x < 2} \atop {x + k \ if \ x \geq 2}} \right.$

Step 2: Solve for k

Definition of Continuity: $\displaystyle \lim_{x \to 2^+} 2x^2 = \lim_{x \to 2^-} x + k$
Evaluate limits: $\displaystyle 2(2)^2 = 2 + k$
Evaluate exponents: $\displaystyle 2(4) = 2 + k$
Multiply: $\displaystyle 8 = 2 + k$
[Subtraction Property of Equality] Subtract 2 on both sides: $\displaystyle 6 = k$
Rewrite: $\displaystyle k = 6$

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Limits - Continuity

Book: College Calculus 10e

4 0

2 years ago

Read 2 more answers

I think of a number add 1 then double the results help for my mate

zalisa [80]

18 what is this for exactly..?

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3 years ago

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What does n equal? 2=-9n+22-n

velikii [3]

Answer:

n =2

Step-by-step explanation:

2=-9n+22-n

2 = -10n +22

-20 = -10n

n = 2

5 0

2 years ago

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The table shows a linear function. x -5,-4,-3,-2,-1, 0, 1, 2, 3. on top row f(x) -11, -3, 5, 13, 21, 29, 37, 45, 53. on bottom r

NARA [144]

Wouldn’t the inputs be 4 and 5? I could wrong though

7 0

2 years ago

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Isa and Jack have part-time jobs.

const2013 [10]

If x is number of hours worked and y total pay, in y=9.5x, 9.5 is hourly rate.
Isa's hourly rate is 9.5$.
From the table: for 2 hours worked Jack earns 16.5$, for 5 hours worked 41.25$ and for 8 66$. Jack's hourly rate is 16.5$/2=8.25$.
9.5/8.25=1.15
Isa earns 9.5$ per hour and Jack earns 8.25$ per hour. Isa's hourly rate of pay is 1.15 Jack's hourly rate of pay.

7 0

3 years ago