All categories

3 years ago

What’s the answer help please I need to pass this class

Mathematics

1 answer:

almond37 [142]3 years ago

5 0

$c.\ f(x)=\dfrac{18}{x}-9\ \text{and}\ g(x)=\dfrac{18}{x+9}\\\\\text{in f(x), solve for x}\\\\\dfrac{18}{x}-9=y\ \ \ \ |+9\\\\\dfrac{18}{x}=y+9\\\\\dfrac{18}{x}=\dfrac{y+9}{1}\ \ \ \ |\text{cross multiply}\\\\x(y+9)=18\ \ \ \ |:(y+9)\\\\x=\dfrac{18}{y+9}\to f^{-1}(x)=\dfrac{18}{x+9}$

You might be interested in

Initially, there were only 86 weeds in the garden. The weeds grew at a rate of 29% each week. The following function represents

Orlov [11]

Step-by-step answer:

The base of the exponential function is 1.29 for 7 days, as in

f(x) = 86*(1.29)^x

The new rate for days can be calculated by dividing x by 7 (where x remains the number of weeks), namely

f(x) = 86*1.29^(x/7)

Using the law of exponents, b^(x/a) = b^(x*(1/a)) = (b^(1/a))^x

we simplify by putting b=1.29, a=7 to get

f(x) = 86*(1.29^(1/7))^x

f(x) = 86*(1.037)^x since 1.29^(1/7) evaluates to 1.037

Rounding 1.037 to 1.04 we get a (VERY) approximate function

f(x) = 86 * (1.04^x)

1.04 is very approximate because 1.04^7 is supposed to get back 1.29, but it is actually 1.316, while 1.037^7 gives 1.2896, much closer to 1.29.

7 0

3 years ago

Read 2 more answers

1.) The island shown has a population of 12,175 people. Find the population

miv72 [106K]

Answer:

Population density = $148.22\ \text{people per square kilometer}$

Step-by-step explanation:

The attached figure shows the dimension of an island.

Population density is equal to total population per unit land area.

Firstly we will find the area of the triangle using Pythagoras theorem as follows :

$H^2=B^2+P^2$

H is Hypotenuse, B is base and P is perpendicular

$B=\sqrt{H^2-P^2} \\\\B=\sqrt{(18.5)^2-(11.1)^2} \\\\B=14.8\ km$

Area of triangle is given by :

$A=\dfrac{1}{2}\times b\times P\\\\A=\dfrac{1}{2}\times 14.8\times 11.1\\\\A=82.14\ km^2$

$\text{Population density}=\dfrac{\text{Total population}}{\text{land area}}\\\\=\dfrac{12175 }{82.14}\\\\=148.22\ \text{people per square kilometer}$

Hence, the population density is $148.22\ \text{people per square kilometer}$ .

7 0

3 years ago

Multi step equation that equals -1

Vitek1552 [10]

5(x + 3) - 3(x - 2) = 19 That should give you the result you need. The answer will come out to be x = - 1

If you want it to be - 1 to start with, then

2(5x + 3) - 13x + 2 = - 1

7 0

3 years ago

When Ben jumps into the air, his height in feet above the surface of the water is given by h = − 16 t 2 + t + 6 where t is the a

Andrej [43]

Answer: 0.64sec

Step-by-step explanation:

h= -16t2 + t + 6

a= -16 b=1 c= 6

Using the quadratic equation formular

X = -b ± √b2 - 4ac / 2a

X= -1 ± √1^2 - 4(-16)6 / 2(-16)

=-1 ±√1+384 / -32

= -1 ±√385 / -32

Either X = -1 + 19.62 / -32

= 18.62 /-32

=-0.58 sec

Or X = -1-19.62 / -32

= -20.62 / -32

= 0.64sec

Since there is no negative time, therefore our answer is 0.64sec

4 0

3 years ago

The fifth root of x to the fourth power times the fifth root of x to the fourth power

drek231 [11]

Remember
(√a)(√b)=√(ab)
and
$(x^m)(x^n)=x^{m+n}$
so

$( \sqrt[5]{x^4})( \sqrt[5]{x^4} )$ =
$\sqrt[5]{(x^4)(x^4)}$
4+4=8
$\sqrt[5]{x^8}$ =
$( \sqrt[5]{x^5})( \sqrt[5]{x^3} )$ =
$x\sqrt[5]{x^3}$

8 0

3 years ago

Read 2 more answers