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Softa [21]
3 years ago
13

Decimals between 11.4 and 15.0 with an interval of 0.4 between each pair of decimals

Mathematics
1 answer:
Sever21 [200]3 years ago
5 0

11.4  → 11.8, 12.2, 12.6, 13.0, 13.4, 13.8, 14.2, 14.6 ←   15.0

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Find a function where f(0)=2 and f(1)=2
xenn [34]

Answer:

Do you want to be extremely boring?

Since the value is 2 at both 0 and 1, why not make it so the value is 2 everywhere else?

f(x) = 2 is a valid solution.

Want something more fun? Why not a parabola? f(x)= ax^2+bx+c.

At this point you have three parameters to play with, and from the fact that f(0)=2 we can already fix one of them, in particular c=2. At this point I would recommend picking an easy value for one of the two, let's say a= 1 (or even a=-1, it will just flip everything upside down) and find out b accordingly:f(1)=2 \rightarrow 1^2+b+2=2 \rightarrow b=-1

Our function becomes

f(x) = x^2-x+2

Notice that it works even by switching sign in the first two terms: f(x) = -x^2+x+2

Want something even more creative? Try playing with a cosine tweaking it's amplitude and frequency so that it's period goes to 1 and it's amplitude gets to 2: f(x) = A cos (kx)

Since cosine is bound between -1 and 1, in order to reach the maximum at 2 we need A= 2, and at that point the first condition is guaranteed; using the second to find k we get 2= 2 cos (k1) = cos k = 1 \rightarrow k = 2\pi

f(x) = 2cos(2\pi x)

Or how about a sine wave that oscillates around 2? with a similar reasoning you get

f(x)= 2+sin(2\pi x)

Sky is the limit.

8 0
2 years ago
∠EFG and ∠LMN are supplementary angles, m∠EFG=(3x+17)º, and m∠LMN=(12x−5)º.
Ira Lisetskai [31]

Answer:

EFG = 50.6, LMN = 129.4

Step-by-step explanation:

ok so s supplementary angles mean, their angles will always add upto 180. for example if one angle is 100° then the other will be 80°.

to find the angles first we need to solve for x.

we know EFG + LMN = 180 because its supplementary.

that's is (3x+17) + (12x-5) = 180.

we now solve for x;

15x+12 = 180

15x = 168, x= 168/15 = 11.2

now that we know x we can put this value in the corresponding equation of EFG and LMN to find the angles.

EFG = 3x11.2 + 17 = 50.6

LMN = 12x11.2 - 5 = 129.4

7 0
3 years ago
Can somebody help me ? please .. if you answer you’ll get 20 points & brainlyiest if correct! ( sorry i might have spelled b
valkas [14]

Answer: I think it should be a: 1/4 inch

Step-by-step explanation:

5 0
3 years ago
Classify the following polynomials according to the number of terms. Combine any like terms first.
11Alexandr11 [23.1K]

1) Combining like terms, we get x^2 + 5x, which is a binomial.

2) Combining like terms, we get x^3 + 3x^2, which is a binomial.

3) Combining like terms, we get 4x^3 + x^2 - x, which is a trinomial.

4) I can't answer this because there's an asterisk in place of the exponent.

3 0
2 years ago
Suppose you invest $100 a month in an annuity that
Dominik [7]

Answer:

  $2502.60

Step-by-step explanation:

The formula for the amount of an annuity due is ...

  A = P(1 +r/n)((1 +r/n)^(nt) -1)/(r/n)

where P is the monthly payment (100), r is the annual interest rate (.04), n is the number of compoundings per year (12), and t is the number of years (2). Given these numbers, the formula evaluates to ...

  A = $100(1.00333333)(1.00333333^24 -1)/0.00333333

  = $100(301)(0.08314296)

  = $2502.60

_____

This value is confirmed by a financial calculator. The given answer choices all appear to be incorrect. The closest one corresponds to an annual interest rate (APR) of 4.286%, not 4%.

4 0
3 years ago
Read 2 more answers
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