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2 years ago

0.36(18)+0.04x=0.12(24+x)

Mathematics

2 answers:

Zielflug [23.3K]2 years ago

7 0

X=45 would be the answer

zhuklara [117]2 years ago

3 0

Answer:

x = 45

Step-by-step explanation:

0.36(18) + 0.04x = 0.12(24 + x)

6.48 + 0.04x = 2.88 + 0.12x

0.04x - 0.12x = 2.88 - 6.48

-0.08x = -3.6

0.08x = 3.6

x = 3.6/0.08

x = 45

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A hotel offers a reward program based on the number of night stayed. The function f(x) represents the number of free nights earn

iris [78.8K]

Answer:

a. A customer earns 1 free night per 10 nights stayed.

Step-by-step explanation:

The missing function is:

f(x) = x/10

The missing options are:

a. A customer earns 1 free night per 10 nights stayed.

b. A customer starts with 1 free night and then earns another free night after every 10 nights stayed.

c.A customer earns x – 10 free nights for every 10 nights stayed.

d. A customer earns 10 free nights after x number of nights stayed.

The function means that after a customer stayed 10 nights, a free night is earned. That is, replacing x = 10 into the function, we get:

f(10) = 10/10 = 1

which means 10 nights are equivalent to 1 free night.

7 0

2 years ago

Find the derivative of the following. please show the steps when you answer :1) f(x) = 8xe^x2) y= 5xe^x^43) f(x)= x^8+5/x4) f(t)

borishaifa [10]

Answer:

Since,

$\frac{d}{dx}x^n = nx^{n-1}$

$\frac{d}{dx}(f(x).g(x)) = f(x).\frac{d}{dx}(g(x)) + g(x).\frac{d}{dx}(f(x))$

$\frac{d}{dx}(\frac{f(x)}{g(x)})=\frac{g(x).f'(x) - f(x) g'(x)}{(g(x))^2}$

1) $y = 8x e^x$

Differentiating with respect to x,

$\frac{dy}{dx}=8( x \times e^x + e^x) = 8(xe^x + e^x) = 8e^x(x+1)$

2) $y = 5x e^{x^4}$

Differentiating w. r. t x,

$\frac{dy}{dx}=5(x\times 4x^3 e^{x^4}+e^{x^4})=5e^{x^4}(4x^4+1)$

3) $y = x^8 + \frac{5}{x^4}$

Differentiating w. r. t. x,

$\frac{dy}{dx}=8x^7 - \frac{5}{x^5}\times 4 = 8x^7 - \frac{20}{x^5}=\frac{8x^{12}-20}{x^5}$

4) $f(t) = te^{11}-6t^5$

Differentiating w. r. t. t,

$f'(t) = e^{11} - 30t^4$

5) $g(p) = p\ln(2p+3)$

Differentiating w. r. t. p,

$g'(p) = p\frac{1}{2p+3}(2) + \ln(2p+3) = \frac{2p}{2p+3}+\ln(2p+3)$

6) $z = (te^{6t}+e^{5t})^7$

Differentiating w. r. t. t,

$\frac{dz}{dt}=7(te^{6t}+e^{5t})^6 ( 6te^{6t}+e^{6t} + 5e^{5t})$

7) $w =\frac{2y + y^2}{7+y}$

Differentiating w. r. t. y,

$\frac{dw}{dy} = \frac{(7+y)(2+2y)-(2y+y^2)}{(7+y)^2} = \frac{14 + 2y + 14y +2y^2 - 2y - y^2}{(7+y)^2}=\frac{14+14y+y^2}{(7+y)^2}$

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3 years ago

For the following right triangle, find the side length x. Round your answer to the nearest hundredth.

Aleksandr-060686 [28]

Answer:

$\sqrt{113}$ = x

Step-by-step explanation:

In right triangles the sum of square length of two legs is equal to square length of hypotenuse:

7^2 + 8^2 = x^2

49 + 64 = x^2 add like terms

113 = x^2 find the root for both sides

$\sqrt{113}$ = x

8 0

2 years ago

Write an expression to represent: Four less than the quotient of a number xxx and 555.

Katarina [22]

Answer: 4 - (xxx/555)

Explanation:

four less = four minus
quotient = the answer of a division problem
a number = the variable
the quotient of a number xxx and 555 = a number xxx divided by 555

5 0

3 years ago

Need helpppp pleaseee.

VikaD [51]

As relative coordinates are asked so
8,-6 are the answer and each line is value of 2

7 0

3 years ago