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Lady bird [3.3K]
2 years ago
13

What is the inverse of H(x)=1/2x+3

Mathematics
2 answers:
storchak [24]2 years ago
6 0

Answer:

x=-6

Step-by-step explanation:

dalvyx [7]2 years ago
4 0

Answer:

h^{-1} (x) = 2x - 6

Step-by-step explanation:

let y = h(x) and rearrange making x the subject

y = \frac{1}{2} x + 3 ( multiply through by 2 to clear the fraction )

2y = x + 6 ( subtract 6 from both sides )

2y - 6 = x

Change y back into terms of x with x = h^{-1} (x)

h^{-1} (x) = 2x - 6

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Logan genetically engineered a new type of fir tree and a new type of pine tree. The combined height of one fir tree and one pin
Maru [420]

Answer:

Fir trees are 9 meters and the pine trees are 12 meters tall.

Step-by-step explanation:

Let the height of the fir tree = x and the height of the pine tree = y (in meters).

It is given that the combined height of both the trees is 21 meters.

That is, x+y=21

Also, the height of 4 fir trees is 24 meters more than that of the pine tree.

That is, 4x=y+24 i.e. 4x-y=24

So, we get the system of equations,

x+y=21

4x-y=24

Adding both the equations, gives us,

5x = 45 i.e. x=  9.

So, x+y=21 ⇒ y= 21 - x ⇒ y= 21 - 9 ⇒ y= 12.

Thus, the fir trees are 9 meters tall and the pine trees are 12 meters tall.

5 0
3 years ago
A basket of fruit contains 4 bananas, 3 apples, and 5 oranges. You intend to draw a piece of fruit from the basket, keep it, dra
gregori [183]

Answer:

The probability that the fruits will be selected in the order of banana then apple then orange is 0.1094

Step-by-step explanation:

The given information are;

The number of bananas = 4

The number of apples = 3

The number of oranges = 5

The total number of fruits are 4 + 3 + 5 = 12

The probability of selecting a banana, p(b) = 4/12 = 1/3

The probability of selecting an apple, p(a) = 3/12 = 1/4

The probability of selecting an oranges, p(o) = 5/12

The probability of selecting one banana, then one apple, then one orange, in that order, from the basket with replacement is the product of the individual probabilities found as follows;

p(p(b) then p(a) then p(o)) =

The number o

The probability that the first fruit is a banana = ₁₁C₃×(1/3)^(3)×(2/3)^8 = 0.2384

The probability that the second fruit is an apple = ₁₁C₃×(1/4)^(3)×(3/4)^8 = 0.258

The probability that the third fruit is an apple = ₁₁C₃×(5/12)^(3)×(7/12)^8 = 0.16

The total probability = 0.2384 + 0.285 + 0.16 = 0.657

The number of ways in which the three can be selected = 3 × 2 × 1 = 6 ways

Therefore, the probability that the fruits will be selected in the order of banana then apple then orange = 0.657/6 = 0.1094.

4 0
3 years ago
Write an expression that is equivalent to (3+14)+27​
tamaranim1 [39]

Answer: 44

<3<3<3<3<3<3<3<3

4 0
3 years ago
Read 2 more answers
Lance and Alex have 70 pencils. Lance has 4 times as many pencils as Alex. Alex's pencils are shared equally among 2 children. H
gogolik [260]


let l = lance, and a = alex.

so: l + a = 70

and l = 4a

Putting the value for l in the first equation:

4a +a = 70

5a = 70

a = 14.

So Alex has 14 pencils. And Lance has (70-14) 56 pencils.

And if each child gets half of Alex' pencils, then each child will have 7 pencils.

6 0
3 years ago
Complete the missing parts of the paragraph proof.
mariarad [96]
THANK YOU FOR YOUR HELP.
4 0
3 years ago
Read 2 more answers
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