MATHEMATICS HIGH SCHOOL

If f(x)=1/2 x-6 what is the equation for f–1(x)? A. f–1(x) = 2x + 6

B. f–1(x) = 2x – 6

C. f–1(x) = 2(x + 6)

D. f–1(x) = 2(x – 6)

Answers

Answer 1
Answer:

Answer:

Option C f^(-1)(x)=2(x+6)

Step-by-step explanation:

we have that

f(x)=(1)/(2)x-6

Let

y=f(x)

y=(1)/(2)x-6

Exchange the variables x for y and y for x

x=(1)/(2)y-6

Isolate the variable y

x+6=(1)/(2)y

y=2(x+6)

Let

f^(-1)(x)=y

f^(-1)(x)=2(x+6)
Answer 2
Answer: I hope this helps you

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Use the definition of exponential notation to demonstrate why 2^3*4^3=2^9

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exponential notation allows the representation of numbers in shorter form.
(2 x 2 x 2)(4x4x4) = 2x2x2x2x2x2x2x2x2
2^3*4^3=2^9 

8*4^3=2^9 

8*64=2^9 

8*64=512 

512=512 

Infinitely Many Solutions

Gaming systems are on sale for 20% off the original price (g), which can be expressed with the function p(g) = 0.8g. Local taxes are an additional 12% of the discounted price (p), which can be expressed with the function c(p) = 1.12p. Using this information, which of the following represents the final price of a gaming system with the discount and taxes applied?c(p) + p(g) = 1.92g
c[p(g)] = 0.896g
g[c(p)] = 1.92p
c(p) ⋅ p(g) = 0.896pg

Answers

If you would like to know what represents the final price of a gaming system with the discount and taxes applied, you can calculate this using the following steps:

p(g) = 0.8 * g
c(p) = 1.12 * p

1.12 * p = 1.12 * 0.8 * g = 0.896 * g = c(p(g)) = c[p(g)]

The correct result would be c[p(g)] = 0.896g.

Answer:

B c[p(g)] = 0.896g

Step-by-step explanation:

A rectangular field has an area of 1,764 m2. The width of the field is 13 m more than the length. What is the perimeter of the field?

Answers

Answer:

170.

Step-by-step explanation:

We have that A = W*L where A= Area, W= width, L=length and that W = 13+L. So,

A = (13+L)*L

1764 = 13L +  L^2

L^2 + 13L - 1764 = 0.

We use the general formula in the image where a=1, b=13 and c= -1764.

L1= \frac{-13+\sqrt[2]{169-4*(-1764)} }{2}

L1= \frac{-13+\sqrt[2]{7225} }{2}

L1= (-13+85)/(2)

L1= 36.

L2= \frac{-13-\sqrt[2]{169-4*(-1764)} }{2}

L2= (-13-85)/(2), this result will be negative and the problem is about length so it doesn't apply for this problem. We use L1= 36.

Then, L=36, W = 13 + 36 = 49. Therefore, the perimeter is 2L+2W = 72+98=170.
Hello,
Here in France we call length the greater side of a rectangle.
So:
Let a the greater side
b the shortest

a=b+13
a*b=1764
==>b*(b+13)=1764
==>b²+13b-1764=0
==>b=(-13-85)/2 to exclude
or (b=(-13+85)/2=36 and a=36+13=49)

P=2(a+b)=2(36+49)=170 (m)
Proof:
49-36=13
36*49=1764


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