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Alex_Xolod [135]
3 years ago
11

Consider the functions f(x)=x^2+9x and g(x)= 1/x .

Mathematics
1 answer:
Vikentia [17]3 years ago
5 0

f(g(-1))=-8

g(f(1/2))=4/19

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Tavon has a gift card for $165 that loses $4 for each 30-day period it is not used. He has another gift card for $145 that loses
sweet [91]

Answer:

Equation 1 = Equation 2

165 - 4x = 145 - 3.50x

Step-by-step explanation:

Let x represent the number of 30-day periods.

Tavon has a gift card for $165 that loses $4 for each 30-day period it is not used.

Therefore the equation =

$165 -$4 × x

= 165 - 4x.......... Equation 1

He has another gift card for $145 that loses $3.50 for each 30-day period it is not used.

$145 -$3.50 × x

= 145 - 3.50x........... Equation 2

Hence, an equation for the number of 30-day periods until the value of the gift cards will be equal is obtained by equating Equation 1 and Equation 2 together

So, we have

Equation 1 = Equation 2

165 - 4x = 145 - 3.50x

We simplify further:

165 - 145 = -3.50 + 4.0x

20 = 0.5x

x = 20/0.5

x = 40

Therefore, number of each 30-day periods until the value of the gift cards will be equal is 40

3 0
3 years ago
QUESTION IN PIC- 20 POINTS
sladkih [1.3K]

Answer:

  18 terms

Step-by-step explanation:

The first given sequence has first term a1=2 and common difference d=5. Its explicit formula is ...

  an = 2 +5(n -1) = 5n -3

We want the n-th term of this sequence to be the same as the n-th term of the sequence defined by ...

  an = 4n +15

We can find n that makes this true by setting the 'an' values equal:

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  n = 18 . . . . . . . . . . add 3-4n

The number of terms in each sequence is 18.

_____

<em>Additional comment</em>

The last term in each sequence is 87.

7 0
2 years ago
Which two quadrants have negative x-values?
mart [117]

Answer:

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Step-by-step explanation:

The quadrants are numbered counter clockwise, with the top right being number I

II                I

III                IV

The ones having negative x values are II and III  ( 2 and 3)

3 0
2 years ago
198.16 in word form pls help
pogonyaev

Answer:

Hiya there!

Step-by-step explanation:

One hundred ninety-eight and sixteen hundredths.

I think this is correct i'm not that sure.

Hope this <em><u>Helped!</u></em> :D

4 0
3 years ago
Write an equation for the following graph.
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Y=Ix+1I-3
the absolute value of( x+1) minus 3
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