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allsm [11]
3 years ago
9

F(n)=3n-15/10 what's the inverse

Mathematics
2 answers:
polet [3.4K]3 years ago
5 0
<span>h^-1(x) = 3  x-2 it is the inverse

</span>
slavikrds [6]3 years ago
4 0
To find the inverse function, interchange the variables and solve for y.
f^-1(n) = 1/2 + n/3
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A school bought pens, each costing $1, and pencils, each costing $0.5. The cost of the whole purchase was $220. How many pens an
Aleks [24]

Answer:

<u>The number of pens = 120 and the number of pencils = 200</u>

Step-by-step explanation:

Let the number of pens x, and the number of pencils is y

the cost of one pen $1, and the cost of one pencil $0.5

The cost of the whole purchase was $220

1 * x + 0.5 * y = 220

x + 0.5 y = 220 ⇒ eq.(1)

there were 80 more pencils than pens

y - x = 80 ⇒ eq.(2)

from eq.(2) x = y - 80

By substitution with x from the last equation at eq.(1)

∴ (y - 80) + 0.5 y = 220

1.5y = 220 + 80 = 300

y = 300/1.5 = 200

x = y - 80 = 200 - 80 = 120

<u>So, the number of pens = 120 and the number of pencils = 200</u>

7 0
3 years ago
Anyone know how to do this??
Ghella [55]

Answer:

csc²(x)

Step-by-step explanation:

csc(x) = 1/sin(x)

sin²(x) + cos²(x) = 1

=> cos²(x) = 1 - sin²(x)

cos(2x) = cos²(x) - sin²(x) = (1 - sin²(x)) - sin²(x) =

= 1 - 2×sin²(x)

=> 2×sin²(x) = 1 - cos(2x)

sin²(x) = 1/2×(1-cos(2x))

=> 1 - cos(2x) = 2×(1/2×(1-cos(2x)) = 2×sin²(x)

=> 2 / (1-cos(2x)) = 2 / (2×sin²(x)) = 1/sin²(x) =

= 1/sin(x) × 1/sin(x) = csc(x)×csc(x) = csc²(x)

6 0
3 years ago
Lines f and g are perpendicular. The equation of line f is y = 1/4x + 2. What is
umka2103 [35]

Answer:

y = -4x + (any number)

Step-by-step explanation:

you want to use the negative reciprocal of the slope for line f

so m = -4, since you didn't say any points it has to go through then the

equation of the line is y = -4x + (any number)

8 0
3 years ago
How many minutes are in m hours? Which expression represents this?
sveta [45]
60m there's 60 minutes in an hour.
7 0
3 years ago
Read 2 more answers
What is the explicit formula that represents the following sequence? {1,-6,36,-216...} A5
Andrew [12]
N=#

-6(n)
I think this is the answer
8 0
3 years ago
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