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Delicious77 [7]
3 years ago
10

Given f(x) = 7x – √2 and g(x) = x + √2, find (f – g)(x).

Mathematics
1 answer:
enot [183]3 years ago
3 0
(f – g)(x) = 7x - √2 - (x + √2)
(f – g)(x) = 7x - √2 - x - √2
<span>(f – g)(x) = 6x - 2</span>√2
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What is the slope of a line that has an x-intercept of 6 and a y-intercept of 0
ankoles [38]

x intercept of 6 means (6,0) is on the line

y intercept of 0 means (0,0) is on the line

so the slope is (0-0)/(6-0) = 0

Answer: 0

Note: The question is actually bad; the line through the origin with slope zero is the X axis itself in which case it wouldn't be right to call the X intercept (just) (6,0).

7 0
3 years ago
Find the focus. y= -1/12 (x)² - 6
jolli1 [7]

Answer:

\Large \boxed{\sf\ \  (0,-9) \ \ }

Step-by-step explanation:

Hello,

We know that when the parabola equation is

   y=a(x-h)^2+k

the vertex is (h,k) and the focus is

   (h,k+\dfrac{1}{4a})

Here, the equation is

   y=-\dfrac{1}{12}x^2-6

so

   a=-\dfrac{1}{12}\\\\h = 0\\\\k =-6

So,

k+\dfrac{1}{4a}=-6-\dfrac{12}{4}=-6-3=-9

Then, the focus is

\large \boxed{\sf\ \  (0,-9) \ \ }

I attached the graph, included the focus so that you can see it :-)

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

4 0
2 years ago
When solving a quadratic, which property do use to
dem82 [27]

Answer:

As we can see multiplication of 5 and 1/5 is 1. It is obtained by inverse property of multiplication because according to this if number multiply by its reciprocal is equal to one.

And we can say 1/5 is a reciprocal of 5.

So it is inverse property.

So option b is correct.

Step-by-step explanation:

8 0
2 years ago
Find all solutions in the interval [0, 2π).<br> sec2 x - 2 = tan2 x
maks197457 [2]
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3 0
3 years ago
What's the answer to 4x-6=3x
mihalych1998 [28]
4x - 6 = 3x

4x - 6 - 3x = 0

x - 6 = 0

x = 6
7 0
1 year ago
Read 2 more answers
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