Please help :( i need help final exam

The sum of four consecutive odd integers is three more than five times the least of the integers. Find the integers.

Olegator [25]

Answer:

Step-by-step explanation:

{k - some integer}

2k+1 - the first odd integer (the least)

5(2k+1) - five times the least

5(2k+1)+3 -<u> three more than five times the least</u>

2k+1+2 = 2k+3 - the odd integer consecutive to 2k+1

2k+3+2 = 2k+5 - the next odd consecutive integer (third)

2k+5+2 = 2k+7 - the last odd consecutive integer (fourth)

2k+1+2k+3+2k+5+2k+7 - <u>the sum of four odd consecutive integers</u>

2k+1 + 2k+3 + 2k+5 + 2k+7 = 5(2k+1) + 3

8k + 16 = 10k + 5 + 3

- 10k -10k

-2k + 16 = 8

-16 - 16

-2k = -8

÷(-2) ÷(-2)

k = 4

2k+1 = 2•4+1 = 9

2k+3 = 2•4+3 = 11

2k+5 = 2•4+5 = 13

2k+7 = 2•4+7 = 15

Check: 9+11+13+15 = 48; 48-3 = 45; 45:5 = 9 = 2k+1

4 0

3 years ago

Please help! thanks so much

Stels [109]

Answer:

See below.

Step-by-step explanation:

First, we can see that $\lim_{x \to 2} (f(x))= -1$ .

Thus, for the question, we can just plug -1 in:

$\lim_{x \to 2} (\frac{x}{f(x)+1})=\frac{(2)}{-1+1} =und.$

Saying undefined (or unbounded) will be correct.

However, note that as x approaches 2, the values of y decrease in order to get to -1. In other words, $f(x)$ will always be greater or equal to -1 (you can also see this from the graph). This means that as x approaches 2, f(x) will approach -.99 then -.999 then -.9999 until it reaches -1 and then go back up. What is important is that because of this, we can determine that:

$\lim_{x \to 2} (\frac{x}{f(x)+1})=\frac{(2)}{-1+1} = +\infty$

This is because for the denominator, the +1 will always be greater than the f(x). This makes this increase towards positive infinity. Note that limits want the values of the function as it approaches it, not at it.

4 0

3 years ago

Use information from Example 4 to write the equation in slope-intercept form. Find the x-intercept of the graph of the equation.

Debora [2.8K]

Answer:

in the morning and I will be in the right side of the day of the day of the day of the day of the day of the day of the day of the time of day I was going through this email is strictly prohibited from you have the opportunity of my favorite thing that is what it looks good and bad for a while ago but the best time I will have a good time to get the same time as well and that was what the issue and then you should receive

Step-by-step explanation:

3edesxssssaaaA dgrvrvrvr f. f f t t g g gbgbt. ytbT when hh mentoring Klemens in the morning and I will be in the morning and I will be in the morning and I will be in the morning and I will be in the morning and I will be in the morning and I will be in the morning and I will be in the morning and I will be in the morning and I will be in the morning and I will be in the morning and I will be in the morning and I will be in the morning and I will be in the morning and I will be in the morning

6 0

3 years ago

Diego was asked to plot these points: (−50,0) ( − 50 , 0 ) , (150,100) ( 150 , 100 ) , (200,−100) ( 200 , − 100 ) , (350,50) ( 3

Irina18 [472]

Answer:

We have the points:

(-50, 0)

(150, 100)

(200, -100)

(350, 50)

(-250, 0)

First, we need to find the smallest and largest values of the x-component.

The smallest value is x = -250

The largest value is x = 350

Then the interval that we choose for the x-axis should include these two values (so we can plot the points)

Then we need to use, at least, the interval [-250, 350] (A interval that is a little bit larger than that will be easier to read, but that is the minimum he needs to do the plot)

Now let's do the same with the values of the y-components.

The smallest value is y = - 100

The largest value is y = 100

Then the vertical interval should be [-100, 100] or a little bit larger, like in the horizontal case.

We also can see that the values of x and y seem to jump in multiples of 50, then each unit of the grid could represent 50 units, so it is easier to plot. (These are also called intervals, and also theses will depend on each individual axis, but in this case we could use the same for both of them, because it works well for both axis)

4 0

3 years ago

Read 2 more answers

(please use fish method) Ella buys a 32$ lunch and leaves 20% tip. How much did she pay together?

inna [77]

Answer:

$38.40

Step-by-step explanation:

multiply 32 bty $.20 you get $6.40 which would be the amount for the tip. add the tip amount and lunch together. that gives you $38.40

7 0

2 years ago