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otez555 [7]
3 years ago
7

PLEASE HELP ME WITH THIS ITS 10 POINTS!!! Im begging you

Mathematics
2 answers:
telo118 [61]3 years ago
7 0

Answer:

x = 5 weeks

Step-by-step explanation:

                 MX + B

Jacob:       7x + 40

Savannah: 5x + 50

Equality:

7x + 40 = 5x + 50

subtract 5x from both sides of equation

2x + 40 = 50

subtract 40 from both sides of equation

2x = 10

divide by 2

x = 5 weeks

xeze [42]3 years ago
4 0

Answer:

  • j = 7x +40; s = 5x +50
  • x = 5

Step-by-step explanation:

Jacob is saving $7 per week, so after x weeks, he has saved 7x in addition to the $40 he started with:

  j = 7x +40

Similarly, Savannah is saving $5 per week in addition to the $50 she started with, so her savings will be ...

  s = 5x +50

Jacob and Savannah will have the same amount of money when ...

  j = s

  7x +40 = 5x +50 . . . . substitute for j and s

  2x +40 = 50 . . . . . . . . subtract 5x from both sides

  2x = 10 . . . . . . . . . . . . subtract 40 from both sides

  x = 5 . . . . . . . . . . . . . . divide both sides by 2

_____

<em>Comment on the equations</em>

I used j and s for the amounts that Jacob and Savannah accumulated, because I like to use variable names that remind me what they stand for. You may be expected to write these as y = equations, where y stands for the amount each person has saved.

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Andrews [41]

The <em>piecewise defined</em> function is formed by the following three functions: y = 40, for 0 ≤ x < 15, y = 0.0425 · x² - 3.8 · x + 87.438, for 15 ≤ x < 65 and y = 0.4 · x - 6, for x ≥ 65.

<h3>What is the piecewise defined function behind the graph?</h3>

In this problem we have a <em>piecewise defined</em> function formed by three functions: (i) <em>Linear</em> equation, (ii) <em>Quadratic</em> equation, (iii) <em>Linear</em> equation. The <em>first</em> function is y = 40, for 0 ≤ x < 15.

The <em>second</em> function can be found based on the knowledge of three points:

y = a · x² + b · x + c

(x₁, y₁) = (15, 40)

40 = 225 · a + 15 · b + c

(x₂, y₂) = (45, 2.5)

2.5 = 2025 · a + 45 · b + c

(x₃, y₃) = (65, 20)

20 = 4225 · a + 65 · b + c

And the <em>quadratic</em> equation is y = 0.0425 · x² - 3.8 · x + 87.438, for 15 ≤ x < 65.

And the <em>latter linear</em> equation is:

y = m · x + b

m = (30 - 20)/(90 - 65)

m = 0.4

And the x-intercept is:

b = y - m · x

b = 20 - 0.4 · 65

b = - 6

The <em>linear</em> equation is y = 0.4 · x - 6, for x ≥ 65.

The <em>piecewise defined</em> function is formed by the following three functions: y = 40, for 0 ≤ x < 15, y = 0.0425 · x² - 3.8 · x + 87.438, for 15 ≤ x < 65 and y = 0.4 · x - 6, for x ≥ 65.

To learn more on piecewise defined functions: brainly.com/question/12561612

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If you're looking to simplify the fraction will be 23/50
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Keeping in mind that there are 5280 ft in 1 mile, and there are 60 minutes in 1 hr and 60 seconds in 1 minute, therefore 60*60 seconds in 1 hr, or 3600 seconds, then.

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monitta

Answer:

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Step-by-step explanation:

Let there are r red socks and g green socks.

ATQ,

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Half the number of green socks plus one-third of the number of red socks is 36.

\dfrac{g}{2}+\dfrac{r}{3}=36\\\\3g+2r=216\ .....(2)

Multiply equation (1) by 2 and equation (2) by 3.

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Add equation (3) and (4)

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