For the sequence an<br> 4n + 7, which term number is 335?

What are the solutions to the equation 2x^2 + 9x =5

Maksim231197 [3]

Answer:

$\displaystyle -5 \ and \ \frac{1}{2}$

Step-by-step explanation:

$2x^2 + 9x =5$

we have to move 5 in the other side with a different sign, to get a 2 grade ecuation

$2x^2 + 9x -5= 0$

now we know

a=2

b=9

c=-5

we have to find delta

$\boxed{\Delta=b^2-4ac} \\\\ \Delta=9^2-4\cdot2\cdot(-5)\\ \Delta=81+40 \\ \Delta=121$

and now we have to use the formula to find the root square

$\displaystyle \boxed{ X_{1,2}=\frac{-b\pm\sqrt{\Delta} }{2a} }$

$\displaystyle X_1=\frac{-b-\sqrt{\Delta} }{2a} =\frac{-9-11}{2\cdot2}=\frac{-20}{4} =-5$

$\displaystyle X_2=\frac{-b+\sqrt{\Delta} }{2a} =\frac{-9+\sqrt{121} }{2\cdot4} =\frac{-9+11}{4} =\frac{2}{4} =\frac{1}{2}$

8 0

3 years ago

Read 2 more answers

In a random sample of 200 engineers, 137 have a master's degree. what is the sample proportion, p-hat, of engineers who have mas

Blababa [14]

The sample proportion, p-hat, of engineers who have master's degrees is 68.5% out of 200 engineers.

p-hat proportion:

In this proportion, "p" denotes the probability of a certain event occurring or a certain parameter being true for a certain population, but when a population is large, it may be impractical or impossible to measure it directly. So, we have used the proportion for that cases.

The general form for calculating p-hat proportion is,

$\hat{p}=\frac{x}{y}$

where

x is the number of successes in the sample, and

y is the size of the sample.

Given,

In a random sample of 200 engineers, 137 have a master's degree.

Here we need to find the the sample proportion, p-hat, of engineers who have master's degrees

According to the question,

x = 137 (number of successes in the sample)

and y = 200 (size of the sample)

Now apply the value on the formula then we get,

$\hat{p}=\frac{137}{200}$

So, the value of p-hat is

$\hat{p}=0.685$

The results are usually reported as a percentage, which in this case would be

=> 0.685 x 100 = 68.5%

Therefore, the sample proportion, p-hat, of engineers who have master's degrees is 68.5% out of 200 engineers.

To know more about p-hat proportion here

brainly.com/question/1597320

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3 0

2 years ago

50 point available!!!!!!

g100num [7]

Answer:

2 miles is your answer hope this helps!!!!!!

Step-by-step explanation:

7 0

4 years ago

Read 2 more answers

The ratio of the price of a used washer to a new one is 1:3.if a new washer costs $720,how much could you resell it used?

Keith_Richards [23]

Answer:

You could resell it for $240.

Step-by-step explanation:

6 0

3 years ago

Can i get help on this one ? im almost running our of points i would give 50 but i need more ;-; anyway

JulsSmile [24]

Answer:

Step-by-step explanation:

Let x = third side

Using the Triangle Inequality theorem which states that the sum of two sides of a triangle must be longer than the third side and the difference of the two sides is the lower limit of the third side, the answer to your question is that the third side must be between 3 and 13, or written using inequalities, 3 < third side (or x) < 13 is the range.

4 0

3 years ago

For the sequence an 4n + 7, which term number is 335?