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3 years ago

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The function f(x)=2x+1 is defined over the interval [2, 5]. If the interval is divided into n equal parts, what is the value of

the function at the right endpoint of the kth rectangle?

1 answer:

vodomira [7]3 years ago

4 0

Answer:

D. 5 +6k/n

Step-by-step explanation:

The width of the interval is (5 -2) = 3. The width of one of n parts of it will be ...

3/n

Then the difference between the left end point of the interval and the value of x at the right end of the k-th rectangle will be ...

k·(3/n) = 3k/n

So, the value of x at that point is that difference added to the interval's left end:

2 + 3k/n

The value of the function for this value of x is ...

f(2 +3k/n) = 2(2 +3k/n) +1 = (4 +6k/n) +1

= 5 +6k/n

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Step-by-step explanation:

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3 years ago

Answers fast please. 1.) y=x−63x+2y=8 Use the substitution method. A.) (4, −2) B.) (14, 8) C.) (0, −6) D.) (3, −3) 2.) What is t

GrogVix [38]

<u>QUESTION 1</u>

The given system of equation is

$y=x-6...eqn1$

and

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Let us substitute equation (1) into equation (2) to get,

$3x+2(x-6)=8$

We expand the bracket to get,

$3x+2x-12=8$

We simplify to get.

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We group like terms to get

$5x=8+12$

$\Rightarrow 5x=20$

$\Rightarrow x=4$

We now substitute $x=4$ in to equation (1) to obtain,

$y=4-6=-2$

The correct answer is option A.

<u>QUESTION 2</u>

The given system of equations is

$y-x=9...eqn1$

and

$10+2x=-2y...eqn2$

We make y the subject in equation (2) to get,

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We put equation (3) into equation (1) to obtain,

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We group like terms to get,

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This implies that,

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$y=3x-1..eqn1$

and

$x-y=-9...eqn2$

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$x=y-9...eqn3$

We put equation (3) into equation (1) to obtain,

$y=3(y-9)-1$

We expand the bracket to get,

$y=3y-27-1$

Group like terms to get,

$y-3y=-27-1$

We simplify to get;

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3 years ago

Read 2 more answers

"solve each system by graphing"

garik1379 [7]

Put them into y=mx+b
y=1/3x -1
y=2/3x-4
Graph them. Where they touch is your answer. No touch? No solution. Same line? Infinite solutions.
Second set: Same thing.
Solution to first set is (9,2)

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3 years ago

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Alika [10]

Answer:

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Total amount made from selling x forks and y spoons is 5.6x + 5.4y. They sold the finished products for a total of $147.20. This means that

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Step-by-step explanation:

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