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3 years ago

Whose method is correct?

Mathematics

1 answer:

boyakko [2]3 years ago

4 0

Answer: Jaleel´s method is correct and the right option is option number D

Step-by-step explanation:

its because 2(x-2)

= 2x-4

note 2 is multiplied with both x and -2!

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Given the function g(x) = x2 + 5x + 1, determine the average rate of change of

Elden [556K]

Answer:

-6

Step-by-step explanation:

The average rate of change of a function, f(x), on interval [a,b] is (f(b)-f(a))/(b-a).

So the avereage rate of change of a function, f(x)=x^2+5x+1, on [-9,-2] is

(f(-2)-f(-9))/(-2--9)

(f(-2)-f(-9))/(7)

Stop!

To find f(-2), you replace x in f(x) = x^2 + 5x + 1, with (-2) giving you f(-2)=(-2)^2+5(-2)+1=4-10+1=-6+1=-5.

To find f(-9), you replace x in f(x) = x^2 + 5x + 1, with (-9) giving you f(-2)=(-9)^2+5(-9)+1=81-45+1=36+1=37.

Continue!

(f(-2)-f(-9))/(7)

=(-5-37)/7

=(-42)/7

=-42/7

=-6

6 0

3 years ago

For an integer n ≥ 0, show that (n/2) - (-n/2) = n. Use greatest integer function

mars1129 [50]

The greatest integer function returns the largest integer smaller than the number you provide it. That is, if n ≤ x < n + 1, where n is an integer, then the "greatest integer of x" is [x] = n.

• Let n be even. Then we can write n = 2k for some integer k ≥ 0. Now,

[n/2] = [k] = k

while

[-n/2] = [-k] = -k

so that

[n/2] - [-n/2] = 2k = n

• Let n be odd. Then n = 2k + 1 for some integer k ≥ 0. Every odd integer occurs between two even integers, so that

n - 1 < n < n + 1

or equivalently,

2k < n < 2k + 2

so that

k < n/2 < k + 1

It follows that [n/2] = k.

Similarly, if we negative the previous inequality, we have

-k > -n/2 > -(k + 1), or -k - 1 < -n/2 < -k

which means [-n/2] = -k - 1.

So we make the same conclusion,

[n/2] - [-n/2] = k - (-k - 1) = 2k + 1 = n

3 0

2 years ago

Yesterday my family caught a largo fish. We ate 2/6 of the fish. Today we eat 2/4 of the fish. Told my motores that we ate more

Alchen [17]

Answer:

Step-by-step explanation:

Fraction of fish ate on first day = 2/6

fraction of fish ate on second day = 2/4

In case of comparison of rational numbers if the numerators of two rational numbers is same and the denominators are different, then the number having larger denominator is less than the number having smaller denominator.

So, the number 2/6 < 2/4

So, the fraction of fish ate on the first day is less than the amount of fish ate on te second day.

4 0

3 years ago

What is the relationship between the number of sides of the base of a prism and the number of lateral faces? The number of sides

slamgirl [31]

Answer:

Every prism has as many faces, and edges, as its base has sides. Thus, a prism with an octagonal (eight sided) base has eight lateral faces, and eight lateral edges. Each lateral face meets two other lateral faces, as well as the two bases. As a consequence, each lateral face is a four sided polygon.

5 0

3 years ago

Read 2 more answers

Which of these constructions is impossible using only a compass and straightedge

mariarad [96]

Answer:

neko...

Step-by-step explanation:

4 0

3 years ago