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ycow [4]
3 years ago
14

-3x-4k=3, solve for x

Mathematics
1 answer:
harkovskaia [24]3 years ago
4 0

-3x = 3 + 4k

x = - 3 + 4k/3

x = -(1 +4k/3)

x = -1 - 4k/3

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The population p (in millions) of Italy from 1990 through 2008 can be approximated by the model p=56.8e^o.oo15t , where t repres
dimulka [17.4K]

As we already have the model that describes the change of the population in Italy in terms of the years that have elapsed, we only have to replace the conditions that are requested in that equation.

Therefore to find the population of Italy in the year 2000 (t = 10 years)  substitute t = 10 in the equation and have:

p = 56.8e^{0.0015*10}\\

p=57.6584 million people

To find the population of Italy in 2008 (t = 18 years)

substitute t = 18 in the equation and have:

p=56.8e ^{0.0015*18}\\

p=58.3545 million people


To predict the population in Italy for 2015 and 2020 with this model, we substitute in the equation t = 25 and t = 30

t = 25

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p=56.8e^{0.0015*30}

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8 0
2 years ago
Kim mowed 1/4 of her yard. Her son mowed 3/7 of it. Who mowed the most. How much is left
Pepsi [2]

Answer:

A. Kim's son

B. 9/28

Step-by-step explanation:

Give the fractions a common denominator of 28 then add.

12/28>7/28, so the son mowed more. 7/28+12/28=19/28. subtract this from 1 whole lawn and get 9/28.

3 0
2 years ago
What does -1 1/6 x 1/4 equal
DIA [1.3K]

The answer would be -7/24

-1x6+1/6x1/4

-6+1/6x1/4

-7/6x1/4

-7x1/6x4

-7/6x4

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6 0
2 years ago
If using the method of completing the square to solve the quadratic equation x^2+8x+37=0, which number would have to be added to
Feliz [49]

Answer:

The numbers are --> x = -4 + √21 i and  x = -4 — √21 i

See the attachment for my step-by-step explanation

(solution is in red box)

6 0
3 years ago
Estimate the slope of the tangent line to the curve f(x) = x2 at the point (1, f(1)) by examining the trend in the secant slopes
Ilya [14]

Answer:

f'(1) = 2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Function Notation

<u>Calculus</u>

The definition of a derivative is the slope of the tangent line.

Derivative Notation

Basic Power Rule:

  • f(x) = cxⁿ
  • f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = x²

Point (1, f(1))

<u>Step 2: Differentiate</u>

  1. Basic Power Rule:                     f'(x) = 2 · x²⁻¹
  2. Simplify:                                     f'(x) = 2x

<u>Step 3: Find Slope</u>

<em>Use the point (1, f(1)) to find the instantaneous slope</em>

  1. Substitute in <em>x</em>:                        f'(1) = 2(1)
  2. Multiply:                                   f'(1) = 2

This tells us that at point (1, f(1)), the slope of the tangent line is 2. We can write an equation using point slope form as well: y - f(1) = 2(x - 1)

8 0
2 years ago
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