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What’s in a equation or Leniar function y axis 1 and negative 7 and x axis negative 3 and 1

Elodia [21]

A linear function is an algebraic equation in which each term is either a constant or the product of a constant and (the first power of) a single variable. For example, a common equation,

y

=

m

x

+

b

, (namely the slope-intercept form, which we will learn more about later) is a linear function because it meets both criteria with

x

and

y

as variables and

m

and

b

as constants. It is linear: the exponent of the

x

term is a one (first power), and it follows the definition of a function: for each input (

x

) there is exactly one output (

y

). Also, its graph is a straight line.

5 0

2 years ago

Consider this function.

charle [14.2K]

Answer:

3. Since the range of the original function is limited to y> 6, the domain of the inverse function is x ≥ 6.

Step-by-step explanation:

The domain of a function is the range of its inverse, and vice versa. The only answer choice that expresses this relationship is choice 3.

__

Comment on the answer choice:

The slope of the function is undefined at x=4, so restricting the function domain to the portion with positive slope means the domain restriction of the function is x > 4. That also means the range restriction of the function is y > 6. The domain restriction of the inverse function is the same: x > 6, not x ≥ 6. The answer choice has an error.

7 0

2 years ago

Read 2 more answers

Liz plays the pianao for 2 hours a day, 5 days a week. How many minutes is that?!?!?

Gnom [1K]

Answer: 10 minutes. explanation; 5 x2 = 10

3 0

2 years ago

Read 2 more answers

A man is three times as old as his son in 10 years time their combined ages will be 68 how old is each person now person now

Murljashka [212]

Answer:

The dad is 36 and the son is 12

6 0

2 years ago

Lines 3x-2y+7=0 and 6x+ay-18=0 is perpendicular. What is the value of a?

BlackZzzverrR [31]

Answer:

$\boxed{\sf a = 9 }$

Step-by-step explanation:

Two lines are given to us which are perpendicular to each other and we need to find out the value of a . The given equations are ,

$\sf\longrightarrow 3x - 2y +7=0$

$\sf\longrightarrow 6x +ay -18 = 0$

Step 1 : Convert the equations in slope intercept form of the line .

$\sf\longrightarrow y = \dfrac{3x}{2} +\dfrac{ 7 }{2}$

and ,

$\sf\longrightarrow y = -\dfrac{6x }{a}+\dfrac{18}{a}$

Step 2: Find the slope of the lines :-

Now we know that the product of slope of two perpendicular lines is -1. Therefore , from Slope Intercept Form of the line we can say that the slope of first line is ,

$\sf\longrightarrow Slope_1 = \dfrac{3}{2}$