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GarryVolchara [31]
2 years ago
12

If f(x) = 7x-6, which of the following is the inverse of f(x)?

Mathematics
1 answer:
Harman [31]2 years ago
8 0

Answer:

f^{-1}(x) = \frac{x+6}{7}

Step-by-step explanation:

Let y = f(x) and rearrange making x the subject, that is

y = 7x - 6 ( add 6 to both sides )

y + 6 = 7x ( divide both sides by 7 )

x = \frac{y+6}{7}

Change y back into terms of x, hence

f^{-1}(x) = \frac{x+6}{7}

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Which of the following expressions is this one equivalent to?
padilas [110]

Hello from MrBillDoesMath!

Answer:

Choice D,  x-2


Discussion:

Observe the the highest order term in the numerator is  x^4 and the highest order term in the denominator is x^3. So the highest order term in their quotient is x^4/x^3 = x.  Choice D is the only possible answer as all other choices start with x^2

Regards,  

MrB

6 0
3 years ago
A football field is 1000 yards long.Each if the two end zones adds an extra 10 yards . The field is 160 feet wide . What is the
Kobotan [32]

Answer:

The area of the whole field is 54400yd^2

Step-by-step explanation:

says that I add 10 yards in each zone, that means that 10 yards is added twice at 1000 yards

1000yd + 2*10yd = 1020yd

we have to know that one yard equals 3 feet

so to have the length in feet we only multiply it by 3

1020 * 3 = 3060ft

Now that we know the length and width of the court, we can calculate the area by multiplying them

a = b * h

a = 3060ft * 160ft

a = 489600 ft^2

the result is in square feet

if we want it in square yards we just have to divide 2 times by 3

489600/(3*3) = 54400yd^2

7 0
3 years ago
Read 2 more answers
Which expression is equivalent to 9x - (x − 8)(x + 1) + 10x? - x² + 19x+8 -x^2+26x+8 8x^2 + 10x+8 8x^2 +26x+8
Alex_Xolod [135]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Phoenix [80]

Answer:

Equilateral triangle: All three sides are equal.

Isosceles triangle: All two sides are equal.

Scalene triangle: No sides are equal.

Step-by-step explanation: Step 1: Label the given points as A, B, and C, and plot them as vertices of a triangle with connecting lines to draw the triangle we are working to identify.

Step 2: Calculate the side length AB using the distance formula.

Step 3: Calculate the side length BC using the distance formula.

Step 4: Calculate the side length AC using the distance formula.

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