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3 years ago

Given s(x) = 2x - 3 and t(x) = 5x + 4. find the formula and domain for s(x) over t(x) and w(x) = t(x) over s(x)

1 answer:

6 0

V(x) = (2x - 3)/(5x + 4) The domain is all Real numbers except x = -4/5, because if x = -4/5 the denominator would be zero and you cannot divide by zero.{x | x ∈ R, x ≠ -4/5} w(x) = (5x + 4)/(2x - 3)similarly, x ≠ 3/2so, {x| x ∈ R, x ≠ 3/2}

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a television on sale for 1/4 off original price. Original price is 120 more then sale price. What is original price of tv

agasfer [191]

Answer:

Original Price = 160

Sale Price =40

Step-by-step explanation:

Let Original Price be x and Sale Price be y

y=1/4 of x (Equation 1)

x=120+y (Equation 2)

Put value of x from equation 2 in equation 1

y= (1/4)*(120+y)

y=120/4 + y/4

y-y/4=30

3y/4=30

y=30*4/3

y=40

Put value of y in Equation 2

x=120+40

x=160

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3 years ago

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Schach [20]

Answer:

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Step-by-step explanation:

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3 years ago

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Vlad1618 [11]

48 teachers 30 w 18 m

5/8=30

3/8=x

5/8 x =3/8 30

remove 8 from both sides

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5 0

3 years ago

A rectangular prism has a length of 11 mm and with a 5 mm. Its height is double its weight. What is the surface area of the pris

kkurt [141]

Answer:

C. 430

Step-by-step explanation:

length: 11

weight: 5

height (double of weight): 10

2 * (5 * 11 + 10 * 11 + 10 * 5)= 430

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3 years ago

Give the slope of the graph and the unit rate

Lerok [7]

Answer:

y=5/4 x

The slope is 5/4

Step-by-step explanation:

To solve this problem we need to find the equation of the line, y=mx+b

We've been given a table with several points, so we can use two of them to perform our calculus.

To obtain the slope we need to use the equation of slopes:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Where (x1,y1) =(4,5) and (x2,y2)=(8,10)

m= (10-5)/(8-4)=5/4

To obtain b we can use the point (x2,y2)=(8,10) in the equation.

10=5/4 *8 +b

b=0

Hence our line has the following equation:

y=5/4 x

6 0

3 years ago