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2 years ago

13

Use the table below to determine whether f(x) could represent a linear function If it could write f(x) in the form f(x)=mx+b

1 answer:

Elodia [21]2 years ago

3 0

Answer:

f(x) = 6x - 5

Step-by-step explanation:

We see f(x) increase is linear and is 6 at each step, so m = 6 and y-intercept is b = -5, from point (0, -5)

<u>So the function is:</u>

f(x) = 6x - 5

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[30 POINTS] Please help!!!

Len [333]

Answer:

Part 1) $y=1.5x+5$

Part 2) $y=-(2/3)x-(11/3)$

Part 3) $y=0.25x+2.75$

Part 4) $y=-2x+5$

Part 5) $y=0.5x-1$

Part 6) The graph in the attached figure

Step-by-step explanation:

Part 1) we have

$m=3/2=1.5$

$point(-2,2)$

The equation of the line into point slope form is equal to

$y-y1=m(x-x1)$

substitute

$y-2=1.5(x+2)$

$y=1.5x+3+2$

$y=1.5x+5$

Part 2) we know that

If two lines are perpendicular

then

the product of their slopes is equal to minus one

so

$m1*m2=-1$

the slope of the line 1 is equal to

$m1=1.5$

Find the slope m2

$1.5*m2=-1$

$m2=-2/3$

Find the equation of the line 2

we have

$m2=-2/3$

$point(-7,1)$

The equation of the line into point slope form is equal to

$y-y1=m(x-x1)$

substitute

$y-1=(-2/3)(x+7)$

$y=-(2/3)x-(14/3)+1$

$y=-(2/3)x-(11/3)$

Part 3) we have

$m=1/4=0.25$

$point(1,3)$

The equation of the line into point slope form is equal to

$y-y1=m(x-x1)$

substitute

$y-3=0.25(x-1)$

$y=0.25x-0.25+3$

$y=0.25x+2.75$

Part 4) we have

$m=-2$

$b=5$ -----> y-intercept

we know that

The equation of the line into slope intercept form is equal to

$y=mx+b$

substitute the values

$y=-2x+5$

Part 5) we have that

The slope of the line 4 is equal to $-2$

so

the slope of the line perpendicular to the line 4 is equal to

$-2*m=-1\\m=(1/2)=0.5$

therefore

in this problem we have

$m=0.5$

$point(-2,-2)$

The equation of the line into point slope form is equal to

$y-y1=m(x-x1)$

substitute

$y+2=0.5(x+2)$

$y=0.5x+1-2$

$y=0.5x-1$

Part 6)

using a graphing tool

see the attached figure

3 0

2 years ago

Coefficient of 24x+32+4x+3

coldgirl [10]

Firstly, you can combine like terms, or terms that have the same variable and exponents.

24x and 4x both have the variable "x" so it can be combined to make 28x

A coefficient is basically just the number that's used to multiply the variable

In this case, the variable is "x" and the number that will be multiplied to x is 28.

<em>The coefficient is 28.</em>

6 0

2 years ago

Please help me! <br> Will give brainlst :)

Sati [7]

Answer:

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

What type of function is represented in the table?

nadezda [96]

Answer:

B

Step-by-step explanation:

quadratfunction because it comprises of both X and Y

3 0

2 years ago

Write the slope-intercept form of the equation of the line.<br> 5x - 2y = 2

FinnZ [79.3K]

The answer is y= 5/2x-1

6 0

2 years ago