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eduard
3 years ago
10

Subtract 24 from 28 then divide by 2

Mathematics
1 answer:
Nookie1986 [14]3 years ago
8 0
28-24=4/2=2
The answer is 2.
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How does the graph of g(x) = (x − 1)3 + 5 compare to the parent function f(x) = x3?
ser-zykov [4K]

Answer:

The original function was transformed by a a horizontal shift to the right in 1 unit, and also a vertical shift upwards of 5 units.

Step-by-step explanation:

Recall the four very important rules regarding translations (shifts) of the graph of functions:

1) In order to shift the graph of a function vertically c units upwards, we must transform  f (x) by adding c to it.

2) In order to shift the graph of a function vertically c units downwards, we must transform  f (x) by subtracting c from it.

3) In order to shift the graph of a function horizontally c units to the right, we must transform the variable x by subtracting c from x.

4) In order to shift the graph of a function horizontally c units to the left, we must transform the variable x by adding c to x.

We notice that in our case, The original function f(x)=x^3 has been transformed by "subtracting 1 unit from x", and by adding 5 units to the full function. Therefore we are in the presence of a horizontal shift to the right in 1 unit (as explained in rule 3), and also a vertical shift upwards of 5 units (as explained in rule 1).

5 0
2 years ago
Why can’t one of the names be PNM, or MPN for the plane? But MNP can? What’s the difference, and why?
Savatey [412]

The names PNM and MPN are perfectly valid. The order of the letters doesn't matter. In fact, there are 6 ways to name this plane if we just use the 3 letters. If we include "plane Z", then there are 7 total ways to name the plane.

For some reason, your teacher wants P to be the third letter as s/he mentioned MNP and NMP. But again, the order doesn't matter.

3 0
2 years ago
Which of the following is a rational number?
olga nikolaevna [1]

Answer:

B

Step-by-step explanation:

when you solve B you get 15 and for all the other ones you get a non-terminating decimal

8 0
2 years ago
Determine 2nd term and rth term of a.p.whose 6 th term is 12 and 8 th term is 22​
Vanyuwa [196]

Answer:

see explanation

Step-by-step explanation:

The n th term of an arithmetic progression is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a_{6} = 12 and a_{8} = 22, then

a₁ + 5d = 12 → (1)

a₁ + 7d = 22 → (2)

Subtract (1) from (2) term by term to eliminate a₁

2d = 10 ( divide both sides by 2 )

d = 5

Substitute d = 5 into (1) to find a₁

a₁ + 5(5) = 12

a₁ + 25 = 12 ( subtract 25 from both sides )

a₁ = - 13

Thus

a_{2} = - 13 + 5 = - 8

a_{n} = - 13 + 5(n - 1) = - 13 + 5n - 5 = 5n - 18 ← n th term

8 0
3 years ago
The relative extrema of f(×)=x³-x+1​
NISA [10]
The answer is in the picture
Sorry I can’t copy and pasted it here

7 0
2 years ago
Read 2 more answers
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