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2 years ago

Find the sum and product of the roots of the equation 5x^2+11x-3=0 ?

1 answer:

5 0

I hope this helps you

disctirminant=b^2-4ac

b=11

a=5

c= -3

disctirminant =11^2-4.5. (-3)

disctirminant =121+60

disctirminant =181

x1=-11+ square root of 181/2.5

x2=-11- square root of 181/2.5

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Mrs. Nestler enjoys listening to classical music. She has the following audio CDs by her favorite composers in her collection: 4

ivolga24 [154]

Answer:

10.55% probability

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the CDs are chosen is not important. So we use the combinations formula to solve this question.

1 Bach CD, from a set of 4.

1 Beethoven CD, from a set of 6.

1 Brahms CD, from a set of 3.

1 Handel CD, from a set of 2.

So, D=144

4 CDs from a set of 4+6+3+2 = 15.

So, T= 1365

p= D/T= 144/1365 = 0.1055

10.55% probability that she will choose one by each composer

4 0

2 years ago

a person on a tour has rupees 12000 for his daily expenses. In order to extend his journey for 2 more days he had to cut down hi

myrzilka [38]

Answer:

Duration of the tour he planned first is 8 days.

Step-by-step explanation:

Given that a person has 12000 rupees for his daily expenses.

Let x be the number of days.

Then daily expenses per day $=\frac{12000}{x}$

Given that number of day is increased by 2 more days, that is number of days is x+2.

New daily expense per day $\frac{12000}{x+2}$

Given that this new daily expenses are 300 less than original.

That is $\frac{12000}{x}-\frac{12000}{x+2}=300$

$\frac{12000(x+2)-12000x}{x(x+2)}=300$

$\frac{24000}{x(x+2)}=300$

$x(x+2)=\frac{24000}{300}$

$x^{2}+2x-80=0$

(x-8)(x+10)=0

x=8 or -10.

Since number of days cannot be negative, duration of the tour planned=8.

7 0

2 years ago

PLEASE HELP ME ASAP !!! JUST ANSWER ONE OR BOTH PLEASE HELP!!

Sliva [168]

Use equation $A=P(1-r)^{t}$

Question 1: Need to find A:
$A=370,000(1-0.043)^{11} =228157.$

Question 2: Need to find t, use LOGARITHM:
$1-r=1-0.0106=0.9894 \\ log( \frac{A}{P})=tlog(0.9894)$
A=35000
P=49339
$\frac{A}{P}=0.7093779769 \\ \frac{log(0.7093...)}{log(0.9894} =t$
$32.221104307=t=32years.$
So 2010+32 = 2042.

8 0

2 years ago

Read 2 more answers

A geyser is a hot spring that periodically erupts a mixture of hot water and steam. Old Faithful in Yellowstone National Park is

vfiekz [6]

Answer:

Check the explanation

Step-by-step explanation:

Open file in excel.

Click on Data->Data Analysis and select Regression.

Enter wait time data range in y-variable.

Enter Duration data range in x-variable.

Click ok.

From above output:

#1 The equation of the linear regression line is:

A 95% confidence interval for the slope of the regression line is:

${(10.110,11.349)}$

In excel, ise formula =FORECAST(6,wait time data range, duration data range) and press enter. The wait time between eruptions following a 6 minute eruption is $\hat{Y}_{x=6}= 97.9} .$

Since (for F test) $p-value=0.000$ , we can conclude that there is a statistically significant linear relationship between the duration of the eruptions and the wait time between eruptions.

The correct null and alternative hypotheses for this analysis:

${ H_0:\beta_1=0 \ H_a:\beta_1\ne 0}$

Kindly check the output below

4 0

2 years ago

PLEASE HELP!! ASAP!!! 20 POINTS. David proved the Law of Cosines with reference to triangle abc using a different method.Arrange

sleet_krkn [62]

Answer:

Top-to-bottom, the boxes have this order in the proof: 1, 7, 4, 3, 9, 8, 5, 2, 6.

Step-by-step explanation:

The basic idea is to use the Pythagorean theorem to write two expressions for the length of altitude BD, also called "k", then equate them and simplify the result. This leaves an expression for DC, also called "x", which is replaced by a cosine expression to complete the proof.

Finally, the variations involving other combinations of sides and angles are suggested as being provable in the same way.

3 0

2 years ago

Read 2 more answers