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3 years ago

Find the first 4 terms of the sequence defined by this rule: f(n)=4n-7

Mathematics

1 answer:

tatiyna3 years ago

6 0

Answer:

-3, 1, 5, 9

Step-by-step explanation:

f(n) = 4n - 7

f(1) = 4(1) - 7

f(1) = 4 - 7

f(1) = -3

f(2) = 4(2) - 7

f(2) = 8 - 7

f(2) = 1

f(3) = 4(3) - 7

f(3) = 12 - 7

f(3) = 5

f(4) = 4(4) - 7

f(4) = 16 - 7

f(4) = 9

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PLEASE HELP!!!!!!!

Leno4ka [110]

Answer:

(a)

degree is 4

it is binomial

(b)

degree is 2

it is trinomial

(c)

degree is 3

it is monomial

Step-by-step explanation:

(a)

we are given function as

$f(x)=5x^4-8$

Degree:

we know that degree is highest exponent value

so, degree is 4

Number of terms:

we can see that there are two terms

so, it is binomial

(b)

we are given function as

$f(a)=4a^2-2a-16$

Degree:

we know that degree is highest exponent value

so, degree is 2

Number of terms:

we can see that there are three terms

so, it is trinomial

(c)

we are given function as

$f(m)=9m^3$

Degree:

we know that degree is highest exponent value

so, degree is 3

Number of terms:

we can see that there are one term

so, it is monomial

5 0

3 years ago

Does the line passing through the points (−1,−5) and (2,1) intersect the line passing through the points (−1,−6) and (1,2)?

Serggg [28]

Answer:

Yes

Step-by-step explanation:

As long as the slopes of these two lines are not the same, they will intersect.

Given two points on a line, we can find the slope by taking the difference in the y coordinates and dividing it by the difference in the x coordinates.

Slope of 1st line: $\frac{-5-1}{-1-2} =\frac{-6}{-3} =\frac{1}{2}$

Slope of 2nd line: $\frac{-6-2}{-1-1} =\frac{-8}{-2}=4$

The slopes are not equal, therefore the lines intersect.

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3 years ago

Is the answer for number 3 solution or open sentence?

Katen [24]

I believe it's a solution

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3 years ago

What is the value of k?

Molodets [167]

Answer:

$( {x}^{2} + 16x + 64) - (x + 8)(x - 4) = k(x + 8) \\ ( {x + 8)}^{2} - (x + 8)(x - 4) = k(x + 8) \\ (x + 8) - (x - 4) = k \\ k = (x - x) + (8 + 4) \\ k = 12$

4 0

3 years ago

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Which is the correct answer?

dlinn [17]

Answer:

Step-by-step explanation:

6 0

3 years ago