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Natali5045456 [20]
3 years ago
12

In the equation e = 0.45d + 2 , what is the rate of change?

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
5 0
Don’t know.................
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The volume of a drop of a liquid is .000047 liter. Write the liquid in scientific notation
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A rectangle with sides measuring x in. and 4x-1 in. has an area of 663in.^2. What are the dimensions of the rectangle?
serious [3.7K]

9514 1404 393

Answer:

  13 in by 51 in

Step-by-step explanation:

The area is the product of the dimensions, so is ...

  663 = x(4x -1)

  4x^2 -x -663 = 0 . . . . . . subtract 663 to put in standard form

Using the quadratic formula, we can find the solutions.

  x = (-(-1) ±√((-1)^2 -4(4)(-663)))/(2(4))

  x = (1 ± √10609)/8 = (1 ±103)/8

Only the positive solution is of any use in this problem, so ...

  x = 104/8 = 13

  4x-1 = 4(13)-1 = 51

The dimensions of the rectangle are 13 inches by 51 inches.

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I find it easiest to solve these using a graphing calculator.

8 0
3 years ago
at an amusement park a person spends $30 on admission and food and then goes on r number of rides that cost $2 each
stepladder [879]
The question is find the equation, in the function and standard notations, that represent the amount spent in the range of 0 to 5 rides.

Constant cost: $30
Independent variable, number of rides: r
Variable cost: $2r

Total spend, s(r): 30 + 2r

Function: s(r) = 30 + 2r, for 0 ≤r ≤ 5  ----- this is the function notation

Standard form: s(r) is the dependent variable = s

s = 30 + 2r => s - 2r = 30 =>

s + (-2)r = 30, for 0 ≤ r ≤ 5 ------ this is the standard form

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3 years ago
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olga_2 [115]

Step-by-step explanation:

The formula for finding the area of a trapezoid is\frac{b_{1} + b_{2} }{2} ×h

Start by substituting the values given in the problem into the formula

\frac{5+7}{2} ×4

Now Simply/solve

\frac{12}{2} ×4

6×4

24

The area of the trapezoid is 24units^{2}

I hope this helps!!!

4 0
3 years ago
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