find the roots of y = x^2 + 4x-115

Answers

Answer 1

Answer:x=−2±√119

Step-by-step explanation:


Related Questions

Referring to the picture below, which of these statements are true? Change in elevation from point A to B. The distance traveled from A to B along the straight line path is a state function. The distance traveled on the curved path from A to B is a state function. The change in elevation from point A to B (Δ) is a state function.

Answers

Answer:

Following are the responses to the given points:

Step-by-step explanation:

The State function is indeed a characteristic that does not depend upon on path to that specific significance.

In contrast, two route functions are called call path operations.

Throughout this case, only the state system includes them. Lift changes are dependent on a particular difference between two balancing states (pressure, temperature).

what is (6)^-3×(6)^-3 using law of exponent?​

Answers

Answer:

6^-6

Step-by-step explanation:

a^m*a^n = a^m+n

assuming the growth rate stays constant at 1.2%, how many doublings would take place in a 500- year period?

Answers

9514 1404 393

Answer:

  8.6

Step-by-step explanation:

The growth factor per year is 1.012, so in 500 years is ...

  1.012^500

The number of doublings is the solution to ...

  2^n = 1.012^500

Taking logarithms, we have ...

  n·log(2) = 500·log(1.012)

  n = 500·log(1.012)/log(2) ≈ 8.6046

About 8.6 doublings will take place in 500 years.

The table shows the test scores and the sleep averages of several students. A) Write the least squares regression equation that models the data. Let x = the test score and y = average sleep. B) Use the equation to determine the approximate test score of a student who sleeps an average of 8 hours a night. Show Your Work. ( Will Mark Brainliest but no Links or nonsense answers please). Answer A and Answer B.​

Answers

Answer:

Approximately 92

Step-by-step explanation:

Using technology, the linear regression model obtained by fitting the data points is:

Y = 0.0914X1 - 0.3741

Where x = test score ; y = average sleep

Slope = 0.0914 ; intercept = - 0.3741

The test score of a student that sleeps 8 hours

y = 8

8 = 0.0914X1 - 0.3741

8 + 0.3741 = 0.0914X1

X = 8.3741 / 0.0914

X = 91.62

choose the correct set up to solve for x

Answers

Answer:

I think c

but I am not sure

Compare using >, <, or =.
11 yards
51 feet

Answers

Answer:

11 yards is 33 feet

11 yards < 51 feet

find the product of 5/8 by the reciprocalof -3/8​

Answers

Answer:

-5/3

Step-By-Step-Solution:

Reciprocal of-3/8 = -8/3

Product = 5/8 × -8/3 = -5/3

Hope that this helps!

PLEASE HELP I will give Brainly to whoever answers !!!

Answers

MmmmmmmmmmmmmmmmmmmmmmmmmA

Answer:

c

Step-by-step explanation:

leonard is flying kite he is holding the end of the string at distance of 1.2 m above the ground. if the string is 15 m how long and makes an angle of 40 degrees with the horizontal, how high is the kite above the ground?​

Answers

Answer:

The kite is 10.8 m above the ground.

Step-by-step explanation:

Here we can make a triangle rectangle like the one shown in the graph below, where we want to find the value of the cathetus X, and that plus 1.2m will be the distance between the kite and the ground.

Notice that X is the opposite cathetus to the 40° angle, then:

We can use the relation:

Sin(θ) = (opposite cathetus)/(hypotenuse)

where, in our case, we have:

θ = 40°

hypotenuse = 15m

opposite cathetus = X

Replacing these in the equation, we get:

Sin(40°) = X/15m

Now we can solve this for X.

Sin(40°)*15m = X = 9.6m

And the actual height of the kite is X + 1.2m

Then:

H = 9.6m + 1.2m = 10.8m

The kite is 10.8 m above the ground.

What is the distance between the points (10, 2) and (14,5)?

Answers

Answer:

5

Step-by-step explanation:

We will solve using the Pythagorean theorem.

The difference in the x value is 4. The difference in the y value is 3. A nice, easy to remember, right angle triangle has sides of three, four, and a hypotenuse of five.

But we were lucky here that we could do this in our heads and from memory: 3² + 4² = 5²

The general formula would be:

distance² = (∆x)² + (∆y)²

distance = √[ (14-10)² + (5-2)² ]

= √[ 4² + 3² ]

= √[ 16 + 9 ]

= √[ 25 ]

= 5

Your company is planning to air a number of television commercials during a television network's presentation of the an awards show. The network is charging your company $1.9 million per 30-second spot. Additional fixed costs (development and personnel costs) amount to $500,000, and the network has agreed to provide a discount of $160,000 x for x television spots.

Required:
Write down the cost function C, marginal cost function C’, and average cost function

Answers

This question is incomplete, the complete question is;

Your company is planning to air a number of television commercials during a television network's presentation of the an awards show. The network is charging your company $1.9 million per 30-second spot. Additional fixed costs (development and personnel costs) amount to $500,000, and the network has agreed to provide a discount of $160,000√x for x television spots.  

Required:

Write down the cost function C, marginal cost function C’, and average cost function

Answer:

- The  the cost function is 500,000 + 1,900,000x - 160,000√x

- the marginal cost function is 1,900,000 - (80000 /√x  )

- The  average cost function is 1,900,000 + [ 500,000 / x ] - [ 160,000 / √x ]

Step-by-step explanation:

Given the data in the question;

cost per spot = $1.9 million

Additional cost =  $500,000

discount = $160,000√x

 Let C(x) represent the cost ;

Cost x television spot = cost per spot × Number pf spots

Cost x television spot = $1.9 million × x

Cost x television spot = $1,900,000x

Now, the television set total cost will be;

C(x) = television cost + additional cost - discount  

C(x) = 500,000 + 1,900,000x - 160,000√x

Therefore, The  the cost function is 500,000 + 1,900,000x - 160,000√x

Marginal Cost Function;

Cost function C(x) = 500,000 + 1,900,000x - 160,000√x

we differentiate with respect to x

C'(x) = d/dx( 500,000 + 1,900,000x - 160,000√x )

= d/dx( 500000 ) + 1,900,000d/dx -160,000 d/d( √x )

= 0+ 1,900,000(1) -160,000( 1 / 2√x )

= 1,900,000 - (160,000 / 2√x  )

= 1,900,000 - (80000 /√x  )

Therefore, the marginal cost function is 1,900,000 - (80000 /√x  )

Average cost function;

Average cost function = C(x) / x

we substitute

Average cost function = [500,000 + 1,900,000x - 160,000√x] / x

=  [500,000 / x ] + [1,900,000x / x ]  - [ 160,000√x / x ]

=  [ 500,000 / x ] + 1,900,000 - [ 160,000√x / x ]

=  1,900,000 + [ 500,000 / x ] - [ 160,000 / √x ]

Therefore, The average cost function is 1,900,000 + [ 500,000 / x ] - [ 160,000 / √x ]

pls help with this thxxu :))

The figure below shows a construction of a triangle,based on the steps and lengths shown,which type of triangle is it?

A- Equilateral
B- Isosceles
C- Scalene
D- Obtuse​

Answers

Answer:

Scalene triangle (Option C)

Step-by-step explanation:

In a scalene triangle , all its sides have different lengths.

According to the figure given in question , lengths of all sides differ from each other. So , the triangle in the figure is a scalene triangle.

PLS HELP
What is the area of the triangle?

Answers

Answer:

B

Step-by-step explanation:

(base x height)/2 = (2.9 x 8.1)/2 = 11.7 cm^2

Answer:

B

Step-by-step explanation:

Cube roots of 1 are +1 and -1 (true and false)​

Answers

False cube root of 1 is plus 1 only.

Which expressions are equivalent to (59 + 3h + 4) - 2?

Answers

I think this is the answer

=(3h+61)

What is 150 millimetres in meters ?

Answers

Answer: 0.15meters

that the answer

Explain why sin(A)=sin(D)
I NEED HELP ASAP

Answers

becouse The size does not differ whether it is big or small, the degree remains the same

What are the algebraic properties of the logarithm function?

Answers

Answer:

344343234

Step-by-step explanation:

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Solve the given system of equations 4x+5y=10 -x-8=3y

Answers

Answer:

[tex]4x + 5y = 10 - - - (a) \\ - x - 8 = 3y \\ - x - 3y = 8 \\ x + 3y = - 8 - - - (b) \\ 4 \times (b) - (a) : \\ = > 0x + 7y = - 42 \\ y = - 6 \\ x - 21 = - 8 \\ x = 13 \\ { \boxed{x = 13}} \\ { \boxed{y = - 6}}[/tex]

Answer:(10,-6)

Step-by-step explanation:

https://app.edmentum.com/mimetex/mimetex?\fs3%5Cbegin%7Barray%7D%7BrclC30C30C30C30C30%7D%204x%20%5C%20+%20%5C%205y%20&=&%2010%20%5C%5C%20-4x%20%5C%20-%20%5C%2012y%20&=&%2032%5C%5C%20%5Chline%200%20%5C%20-%20%5C%207y%20&=&%2042%5C%5C%20y%20&=&%20-6%20%5Cend%7Barray%7D

https://app.edmentum.com/mimetex/mimetex?\fs3%5Cbegin%7Barray%7D%7BrclC30C30C30C30C30%7D%204x%5C%20+%20%5C%205y%20&=&10%20%5C%5C%204x%5C%20+%20%5C%205(-6)%20&=&10%20%5C%5C%204x%5C%20-%20%5C%2030%20&=&10%20%5C%5C%204x%20&=&%2040%20%5C%5C%20x%20&=&%2010%20%5Cend%7Barray%7D

2. Suppose over several years of offering AP Statistics, a high school finds that final exam scores are normally distributed with a mean of 78 and a standard deviation of 6. A. What are the mean, standard deviation, and shape of the distribution of x-bar for n

Answers

Answer:

By the Central Limit Theorem, the mean is 78, the standard deviation is [tex]s = \frac{6}{\sqrt{n}}[/tex] and the shape is approximately normal.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 78 and a standard deviation of 6

This means that [tex]\mu = 78, \sigma = 6[/tex]

Samples of n:

This means that the standard deviation is:

[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{6}{\sqrt{n}}[/tex]

What are the mean, standard deviation, and shape of the distribution of x-bar for n?

By the Central Limit Theorem, the mean is 78, the standard deviation is [tex]s = \frac{6}{\sqrt{n}}[/tex] and the shape is approximately normal.

Grade 9 math plzz helpp a or b or c or d

Answers

Answer:

[tex]g(x) = 3^{x -4}[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 3^x[/tex]

g(x) = f(x) 4 units left

Required

Find g(x)

When a point is translated 4 units left, the rule is:

[tex]x \to x - 4[/tex]

So, we have:

[tex]g(x) = f(x-4)[/tex]

[tex]f(x-4)[/tex] is calculated as:

[tex]f(x-4) = 3^{x -4}[/tex]

Hence:

[tex]g(x) = 3^{x -4}[/tex]

Question 4 (1 point) (06.02 LC) Which of these is the algebraic expression for 3 times the sum of 2 and Y ​

Answers

Answer:

3(2+y) is the correct answer

Answer: 3 (2 + y)

Hope this helps!

Which ratio is equivalent to 7 : 3?

49:9

12:8

21:7

28:12

Please answer quickly!

Answers

Answer:

28:12

Step-by-step explanation:

28 divided by 4 is 7

12 divided by 4 is 3

Multiply: –c2(3c – 2)

Answers

-c^2(3c - 2) =
-3c^3 + 2c^2

Answer:

answer in picture

Step-by-step explanation:

PLEASE HELP I WILL MARK BEAINLIST

Answers

Answer:

Is it 1,512?

Step-by-step explanation:

The women athletes in the BIG10 Schools have a long-term graduation rate of 73%. Over the past several years, a random sample of 23 women showed that 19 graduated. Does this indicate that the population proportion of women athletes who graduate from the BIG10 is now more than 73%

Answers

Answer:

This means that population proportion of women athletes who graduate from the BIG10 is now not more than 73%

Step-by-step explanation:

Here,  

The null hypothesis is p = 0.73

Alternate hypothesis is p> 0.73

The level of significance = 0.10 or 10%

Sample size = 23

Sample proportion = 19/23 = 0.826

Z test statistics  

= (p’-p)/Sqrt ((p(1-p)/n))

Substituting the given values, we get –  

Z = (0.826-0.73)/Sqrt ((0.73(1-0.73)/23)) = 1.037

Thus, the P values for Z>1.037  

= 1- P(Z less than or equal to 1.037)

= 1- 0.8501

= 0.150

P-value  is greater than the  level of significance

We will accept the null hypothesis

This means that population proportion of women athletes who graduate from the BIG10 is now not more than 73%

can someone help me

Answers

55 x 7 = 385

dadadsdsadssdgregeg

Which is equivalent to sqrt x^10
A. X-5
B. X -1/5
C. X sqrt 10
D. X 1/5
E. X^5

Answers

Answer:  E) x^5

[tex]\sqrt{x^{10}} = x^5[/tex]

=====================================================

Explanation:

We simply take half of the exponent 10 to get 5. This applies to square roots only.

So the rule is [tex]\sqrt{a^b} = a^{b/2}[/tex]

A more general rule is

[tex]\sqrt[n]{a^b} = a^{b/n}[/tex]

If n = 2, then we're dealing with square roots like with this problem. In this case, a = x and b = 10.

Answer:

E

[tex] \sqrt{ {x}^{10} } \\ = \sqrt{ ({x}^{5} ) {}^{2} } \\ = {x}^{5} [/tex]

Please explain it ASAP

Answers

Answer:

sorry but i don't understand the question

A surveyor asks people whether or not they support their senator's vote on a bill. Choose the type of data that is collected. Group of answer choices quantitative qualitative neither quantitative nor qualitative Not enough information is given

Answers

Answer:

Quantitative data

Step-by-step explanation:

The type of data collected when a surveyor asks people whether or not they support their senator's vote on a bill is "quantitative data."

Quantitative data is a type of research data that can be calculated, measured, and formulated using numbers. It is derived using quantitative research, which allows the researcher to gather and analyze data.

Hence, in this case, the surveyors will gather the data based on two groups, those that support the senator's bill and those against it. He will then compare the quantitative numbers gotten from each group.

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