Ask question

Ask question

All categories

alexandr402 [8]

2 years ago

12

Three consecutive integers have a sum of 30. Which equation can be used to find x, the value of the smallest of the three number

s? (x + 1) + (x + 2) = 30 x + (x + 1) + (x + 2) = 30 x (x + 1) (x + 2) = 30 3 x (x + 1) (x + 2) = 30

1 answer:

castortr0y [4]2 years ago

7 0

Answer:

X+(X+1)+X+2)=30

Step-by-step explanation:

You might be interested in

Evaluate the function at the given numbers( correct to six decimal places). Use the results to guess the value of the limit or e

netineya [11]

Answer:

Value of the limit is 0.5.

Step-by-step explanation:

Given,

$F(x)=\frac{e^x-1-x}{x^2}$

When,

$x=1,F(1)=frac{e^1-1-1}{1}=e-2=0.718281$

$x=0.5, F(0.5)=\frac{e^0.5-1-0.5}{(0.5)^2}=0.594885$

$x=0.1, F(0.1)=\frac{e^0.1-1-0.1}{(0.1)^2}=0.517091$

$x=0.05, F(0.05)=\frac{e^0.05-1-0.05}{(0.05)^2}=0.508438$

$x=0.01, F(0.01)=\frac{e^0.01-1-0.01}{(0.01)^2}=0.501670 \hfill (1)$

Correct upto six decimal places.

Now,

$\lim_{x\to 0}F(x)=\lim_{x\to 0}\frac{e^x-1-x}{x^2}$ $(\frac{0}{0})$ form, applying L-Hospital rule that is differentiating numerator and denominator we get,

$\lim_{x\to 0}F(x)$

$=\lim_{x\to 0}\frac{e^x-1}{2x}$ $(\frac{0}{0})$ form.

$=\lim_{x\to 0}\frac{e^x}{2}=\frac{1}{2}=0.5\hfill (2)$

Limit exist and is 0.5. That is according to (1) we can see as the value of x lesser than 1 and tending to near 0, value of the function decreases respectively. And from (2) it shows ultimately it decreases and reach at 0.5, consider as limit point of F(x).

8 0

3 years ago

HELLPPPP I WILL GIVE BRAINIEST!!!!!!!!!!!!<br><br> 2x+3=20-15

Nesterboy [21]

Here you go!

Answer: X = 1

8 0

3 years ago

Read 2 more answers

What is the solution to the following system of equations?

artcher [175]

The correct answer is B

6 0

3 years ago

What is the value of the right rectangular prism

storchak [24]

Hello!

To find the area of a rectangular prism you do 2(lw + lh + wh)

Put in the values

2(9 * 2 + 9 * 6 + 2 * 6)

2(18 + 54 + 12)

2(84)

2 * 84 = 168

The answer is 168 cubic inches

Hope this helps!

6 0

3 years ago

A = {1, 2, 5, 7}<br> B = {3, 4, 6, 7}<br> C = {0, 5, 8, 9}<br> Find A U B U C.

castortr0y [4]

Answer: In set theory, the union (denoted by ∪) of a collection of sets is the set of all elements in the collection. It is one of the fundamental operations through which sets can be combined and related to each other.

A U B U C = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }

Step-by-step explanation:

A = {1, 2, 5, 7}

B = {3, 4, 6, 7}

C = {0, 5, 8, 9}

A U B U C = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }

6 0

3 years ago