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Bas_tet [7]
3 years ago
13

Can someone please help?

Mathematics
2 answers:
olchik [2.2K]3 years ago
7 0

Answer:

Choice C is correct answer.

Step-by-step explanation:

Equation of line in slope-intercept form is:

y=mx+c where m is slope of line and c is y-intercept.

Slope is defined as steepness of a line and also called gradient.

y-intercept is a point on the line where value of x is zero.

From question statement ,we observe that

slope=m= 2/3

y-intercept at (0,-2) which means c=-2.

Putting the value of slope and y-intercept in slope-intercept form,we get

y=(2/3)x+(-2)

y=2/3x-2 which is the answer.


mel-nik [20]3 years ago
4 0

Answer:

C.  y = 2/3 x - 2.

Step-by-step explanation:

The general form of the slope-intercept equation of a line is y = mx + c where m = the slope and  (0. c) is the y-intercept.

We are given that the slope = 2/3 and the y intercept is at (0,-2) so our equation is y = 2/3 x - 2.

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Find the inverse function for f(x)=sqrt2x-6 picture below
Olenka [21]

Answer:

y = (x^2 + 6) / 2

Step-by-step explanation:

Original function: \sqrt{2x - 6}

To find the inverse of a function we have to switch the x and y values and solve for y again

x = sqrt (2y-6)

To get rid of a square root we square the square root so:

x^2 = 2y-6

Add 6

x^2 + 6 = 2y

Divide by 2

y = (x^2 + 6) / 2

6 0
3 years ago
. <br><br><br> Solve the equation. <br><br> 2/3 x – 6 = 9
Allisa [31]
Hey there!

Okay let's get cracking :D

The equation is....  (2x/3) - 6 = 9

2x/3 = 15
2x = 45
<u>x = 22.5</u><u />    <----- And that is your answer!

I hope it helped! 

<u>Please vote for me as Brainliest if there is a second answer!</u>
4 0
3 years ago
Read 2 more answers
What is 0.98 as fraction
Montano1993 [528]
0.98 as a unsimplified fraction would be 98/100. The simplified fraction would be 49/50 hope this helped
6 0
3 years ago
I need help one this question.
OLga [1]

Answer:

-2

Step-by-step explanation:

the y-intercept is -2

6 0
2 years ago
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Let f be a differentiable function such that f(3)=15, f(6)=3, f ' (3)= -8, and f ' (6)= -2. The function g is differentiable and
Ray Of Light [21]

Answer:

A. g'(3)=-\frac{1}{2}

Step-by-step explanation:

We have been given that f be a differentiable function such thatf(3)=15, f(6)=3, f'(3)= -8, and f'(6)= -2. The function g is differentiable and g(x)= f^{-1} (x) for all x.

We know that when one function is inverse of other function, so:

g(f(x))=x

Upon taking derivative of both sides of our equation, we will get:

g'(f(x))*f'(x) =1

g'(f(x))=\frac{1}{f'(x)}

Plugging x=6 into our equation, we will get:

g'(f(6))=\frac{1}{f'(6)}

Since g(x)= f^{-1} (x), then g'(f(6))=g'(3).

g'(3)=\frac{1}{f'(6)}

Since we have been given that f'(6)= -2, so we will get:

g'(3)=\frac{1}{-2}

g'(3)=-\frac{1}{2}

Therefore, g'(3)=-\frac{1}{2} and option A is the correct choice.

8 0
3 years ago
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