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algol [13]
3 years ago
11

Evaluate the function h(t)=11-3t for t=5-n

Mathematics
2 answers:
Llana [10]3 years ago
8 0

3n - 4

substitute t = 5 - n into f(t)

f(5 - n) = 11- 3(5 - n) = 11- 15 + 3n = 3n - 4


miv72 [106K]3 years ago
3 0

h(t)=11-3(5-n)                 Substitute 5-n to t in this equation

h(t)=11-15+3n                 Use Distributive property

h(t)=3n-4                        Combine Like Terms

<u><em>*(Answer)*=</em></u> h(t)=3n-4

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40 POINTS FOR THIS ALGEBRA WORD PROBLEM
skelet666 [1.2K]

Answer:

9

Step-by-step explanation:

let the number

=

x

then 4 times the number

=

4

x

and 4 times the number increased by 15

=

4

x

+

15

also 6 times the number

=

6

x

and 3 less than 6 times the number

=

6

x

−

3

equating the two expressions gives the equation

4

x

+

15

=

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x

−

3

←

solve for x

subtract 6x from both sides

4

x

−

6

x

+

15

=

6

x

−

6

x

−

3

⇒

−

2

x

+

15

=

−

3

subtract 15 from both sides

−

2

x

+

15

−

15

=

−

3

−

15

⇒

−

2

x

=

−

18

divide both sides by

−

2

−

2

x

−

2

=

−

18

−

2

⇒

x

=

9

As a check

(

4

×

9

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+

15

=

36

+

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=

51

(

6

×

9

)

−

3

=

54

−

3

=

51

⇒

the number is 9

7 0
3 years ago
Read 2 more answers
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Lapatulllka [165]

The point-slope form:

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Therefore

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------------

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y = 2x - 4     <em>it's slope-intercept form y = mx + b</em>

y - x = 4 →<em> </em>x - y = -4  <em>t's standard form Ax + By = C</em>

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