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Fittoniya [83]
3 years ago
10

PRE CALCULUS

Mathematics
1 answer:
Mumz [18]3 years ago
3 0
Start with the parent function f(x) = x³

Notice the function f(x) = (x - 4)³ that a value '4' is subtracted from 'x' ⇒ This means the function f(x) is translated four units to the right.

Then the function f(x) = ¹/₂ (x - 4)³, the function (x - 4)³ is halved vertically ⇒ Half the y-coordinate

Then the function f(x) = ¹/₂ (x - 4)³ + 5 that a value '5' is added to ¹/₂ (x - 4)³ ⇒ This means the function f(x)  is translated five units up

So the order of transformation that is happening to f(x) = x³ is translation four units to the right, half the y-coordinate, then translate 5 units up.

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HELP!!!! I’LL GIVE THE BRIANLIEST TO WHOEVER GETS IT RIGHT!!!!
Leto [7]

Answer:

13 units

Step-by-step explanation:

D is at (1,6) and C is at (-4,-6)

The distance is found by

d = sqrt(( y2-y1)^2+ (x2-x1)^2))

  = sqrt( ( -6-6)^2 + (-4-1)^2)

  = sqrt(  -12^2 + -5^2)

  = sqrt( 144+ 25)

   = sqrt( 169)

   = 13

6 0
3 years ago
IN 2013 The number of students in a small school is 284. it is estimated that the student population will increase by 4% every y
Aleks [24]

Answer:

Amount = Initial value × (1 + rate of interest)^years and 374

Step-by-step explanation:

The formula to determine the student population and the estimated student population is given below:

As we know that

Amount = Initial value × (1 + rate of interest)^years

= 284 × (1 + 0.04)^7

= 284 × 1.04^7

= 373.72

= 374

7 0
2 years ago
Determine the area of the rectangular ABCD with AB=5cm and BC=3cm. A 5cm B 3 cm D C с Determine the area of the triangular AB wi
lbvjy [14]
Ac is 20cm and an is 5 cm u jus have to add them together
7 0
2 years ago
What is the answer for 2.7cm=m
SIZIF [17.4K]
0.027 in meters!!!!!!
6 0
3 years ago
Read 2 more answers
A box contains 35 gems, of which 10 are real diamonds and 25 are fake diamonds. Gems are randomly taken out of the box, one at a
USPshnik [31]

Answer:

Probability = 0.504

Step-by-step explanation:

Given

Gems= 35

Real = 10

Fake = 25

Required

Determine the probability of selecting two fakes

The probability can be represented as thus: P(Fake\ and\ Fake)

Using the following probability formula, we have:

P(Fake\ and\ Fake) = P(Fake) * P(Fake)

Each probability is calculated by dividing number of fakes by total number of gems:

P(Fake\ and\ Fake) = \frac{25}{35} * \frac{25-1}{35-1}

The minus 1 (-1) represent the numbers of fake and total gems left after the first selection

P(Fake\ and\ Fake) = \frac{25}{35} * \frac{24}{34}

P(Fake\ and\ Fake) = \frac{5}{7} * \frac{12}{17}

P(Fake\ and\ Fake) = \frac{60}{119}

P(Fake\ and\ Fake) = 0.504

<em>Hence, the required probability is approximately 0.504</em>

7 0
3 years ago
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