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2 years ago

5

Write an equation of the line with the given information. Use slope-intercept form or point slope form. The final answer must be

in slope intercept form y=mx+b. PLEASE SHOW WORK THANKS!!

1 answer:

weeeeeb [17]2 years ago

6 0

Answer:

y = 6

Step-by-step explanation:

Find the y intercept (b) by plugging in (x,y) and m into y = mx + b

6 = 0 (-2) + b

6 = b

The equation will be y = 0x + 6 OR y = 6

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2 years ago

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Anyone know the answer?

Stolb23 [73]

Answer:

y-intercept = 1

Step-by-step explanation:

Here 1 grids crossing means increasing or decreasing by 1 grid. Here we are seeing the line crosses 1 grid above 0. So its positive 1. From here we find the y intercept is +1. Line crosses at coordinate ( 0 , 1 )

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1 year ago

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Subtract the given function and indicate the domain of the difference

maxonik [38]

Answer:

The domain is $x\in (-\infty,\infty).$

Step-by-step explanation:

Given functions $f(x)=x^2+3x+1$ and $g(x)=2x^2-4x-1$

Subtract these two functions:

$f(x)-g(x)\\ \\=(x^2+3x+1)-(2x^2-4x-1)\\ \\=x^2+3x+1-2x^2+4x+1\\ \\=(x^2-2x^2)+(3x+4x)+(1+1)\\ \\=-x^2+7x+2$

Plot these difference on the coordinate plane (see attached diagram). This function is defined for all vlues of x, so the domain is $x\in (-\infty,\infty).$

6 0

2 years ago

The function g(x)=x^2+3. The f(x)=g(x+2)

vekshin1

Answer:

$f(x)=x^2+6x+12$

Step-by-step explanation:

Given:

The function 'g(x)' is given as:

$g(x)=x^2+3$

Now, the function 'f(x)' is given as:

$f(x)=g(x+2)$

So, the function 'f(x)' is a transformation of 'g(x)'.

In order to find f(x), we replace 'x' by $(x + 2)$ in the 'g(x)' function equation. This gives,

$g(x+2)=(x+2)^2+3$

Using the identity $(a+b)^2=a^2+b^2+2ab$ , we get:

$g(x+2)=x^2+3^2+6x+3\\\\g(x+2)=x^2+9+6x+3\\\\g(x+2)=x^2+6x+12$

Hence the function f(x) is given as:

$f(x)=x^2+6x+12$

4 0

2 years ago