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liq [111]
3 years ago
10

If f(1) = 10 and f(n) = f(n-1) + 2 the find the value of f (6)

Mathematics
1 answer:
belka [17]3 years ago
6 0

Answer:

20

Step-by-step explanation:

to find f(6) we are going to use the equation provided- f(n) = f(n-1) +2.

n will now = 6, so it will look like f(6) = f(6-1)+2

f (6) = f (5) + 2

 **side note: f (2) = f (1) +2 = 12; f (3) = f (2) + 2 = 14; and so on

so, f (6) = 18 + 2, which would be equal to 20

i hope this helps :)

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Z varies directly as x2. If z = 16 when x = 2, find z when x = 5.<br> ...<br> Z=
PtichkaEL [24]

Answer:

100

Step-by-step explanation:

it is a bit unclear to me, what that problem description means.

if I understand it correctly, than z is directly depending on x².

so, z = 16 for x = 2. x² = 4

I pondered a little bit, as there are several possibilities to connect 16 with 4 as a driving factor (e.g. 2⁴ = 16, 4×4 = 16, 12 + 4 = 16).

I decided to go with the simplest interpretation with the usual meaning of "varies" (multiplication) : 4×x²

that would mean

z = 4×x² = 4×5² = 4×25 = 100

3 0
3 years ago
A department store is having a 15% off sale on all winter coats. You purchase a winter coat for $275. The department store is lo
sergeinik [125]

$275*.15(15%)=41.25 (this is the amount of the discount)

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$233.75* .0725=$16.946(round to $16.95, this is the amount of the sales tax).

If you want to know the total cost after tax just add $16.95 to the discounted price of $233.75. The price you pay for the jacket is $250.70.

8 0
3 years ago
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14. Solve: 3x² + 5x – 12 = 0<br>B. 4-3<br>C. 8, - 18​
VARVARA [1.3K]

Answer:

b

Step-by-step explanation:

The equation:

3

x

2

−

5

x

−

12

=

0

is in the form:

a

x

2

+

b

x

+

c

=

0

with  

a

=

3

,  

b

=

−

5

,  

c

=

−

12

The roots are given by the quadratic formula:

x

=

−

b

±

√

b

2

−

4

a

c

2

a

x

=

5

±

√

(

−

5

)

2

−

4

(

3

)

(

−

12

)

2

(

3

)

x

=

5

±

√

25

+

144

6

x

=

5

±

√

169

6

x

=

5

±

13

6

That is:

x

=

5

+

13

6

=

18

6

=

3

 

or  

 

x

=

5

−

13

6

=

−

8

6

=

−

4

3

7 0
4 years ago
99 POINTS PLS HELP Write the equation in slope-intercept form. 4x + 3y = 15
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To write in slope intercept form solve the equation for y:

4x + 3y =15

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Now get Y by itself by divide all terms by 3:

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8 0
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Answer:

THX FOR FREE POINT

Step-by-step explanation:

THANK YOU

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