What is the Nature of Roots of x^2+9x+14=0?

Answers

Answer 1

Answer:

(x+7)(x+2)

Step-by-step explanation:

If we multiply it out we get:

x * x = x^2

7 * x = 7x

2 * x = 2x

7 * 2 = 14

Add it all, we get: x^2 +9x+14

Therefore these are the factors


Related Questions

What is the range of the function f(x) = 3/4|x|- 3

Answers

Answer:

[-3,∞)

Step-by-step explanation:

What is the equation of the line that as the same slope as the line 3x − 6y = −12 and the same y-intercept as the line −5x + 7y = −21?

Answers

Answer:

3x - 6y = -21

Step-by-step explanation:

The Y and X must stay the same for the same slope while the constant will change depending on the y-intercept.

Jessie read three books in one week. At this rate, how many books will she read in 3 weeks?

Answers

Answer:

Jessie will read 9 books in 3 weeks.

Step-by-step explanation:

3 x 3 = 9

Answer: 9

Step-by-step explanation: If you need an equation, you can create one:

t = total number of books read

w = weeks

t = 3w

The 3 is there because she reads 3 books weekly, so you multiply the number of weeks by the number of books she reads.

Plug in 3 weeks:

t = 3(3)

t = 9 books

Jessie reads 9 books in 3 weeks.

A tennis club has 27 members. 19 have black hair, 14 have brown eyes, and
11 have both black hair and brown eyes. Find the number of members with
black hair or brown eyes.
O 3
O 5
8
O 11

Answers

Answer: 11

Because if you minus 11 from both brown eyes and black hair your left with 8 from black hair and 3 from brown eyes

Solve using elimination.
2x - 3y = -1
3x + 4y = 24
a.) (0,6)
b.) (1,1)
c.) (4,3)
d.) (8,0)

Answers

The answer is C (4,3)


The smallest x-ray has a wave length of 5.9 x 10^-8 meters
The largest infrared light wave length is about 9.8.x 10^-7 meters.
Subtract these weve lengths to see how much larger the wavelength of infared lights is than an X-ray.


Answers

Answer:

theb correct answer is d VHow does your body’s flexibility naturally change as you age?

Step-by-step explanation:

the slopes of two lines are 2 and -2. because of this we can conclude these two lines are which of the following?

Answers

intersecting, as they would have one solution.

Answer:

they also can be considerd perpendicular because they interset and make a 90 degree/right angle

Step-by-step explanation:

find the difference between the product of -9.5 and 6.4 and their sum​

Answers

Answer:

-60.8-(-3.1)= -57.7

Explain:

(-9.5)6.4 = -60.8

(-9.5) + 6.4 = -3.1

does anybody know this????

Answers

Answer:

(f - g)(x) = -x² + 3x + 7 ⇒ D

Step-by-step explanation:

In the expression x - a, you will subtract a from x

Let us solve the question using this fact

f(x) = 3x + 1

g(x) = x² - 6

→ We need to find (f - g)(x), which means subtract g from x

∵ (f - g)(x) = (3x + 1) - (x² - 6)

→ The negative sign before (x² - 6) will change their signs

∵ - (x² - 6) = -(x²) + -(-6)

→ Remember (-)(+) = - and (-)(-) = (+)

- (x² - 6) = -x² + 6

→ Substitute it in (f - g)(x)

∴ (f - g)(x) = 3x + 1 - x² + 6

→ Add the like terms

∴ (f - g)(x) = 3x - x² + (1 + 6)

∴ (f - g)(x) = 3x - x² + 7

→ Re-arrange the terms from the greatest power of x

(f - g)(x) = -x² + 3x + 7

Sabendo que as retas r, s e t são paralelas, determine o valor de x na imagem a seguir
a)3
b)3,2
c)3,5
d)4

Answers

Answer:

x = 3.2

Step-by-step explanation:

Aquí, queremos encontrar el valor de x en la imagen de arriba.

Matemáticamente eso sería;

x / 4 = (x + 16) / (20 + 4)

x / 4 = (x + 16) / 24

Cruz multiplicar 24 * x = 4 (x + 16)

24x = 4x + 64

24x - 4x = 64

20x = 64

x = 64/20 x = 3,2

From the transversal proportionality theorem of parallel lines r,s,t. the value of x is 3.2.

It is given that r, s, t are parallel to each other. The length of the sides is given as 16, 20, 4, x. we need to find the value of x.

What is the transversal proportionality theorem?

If two or more parallel lines are cut by two transversals, then they divide the transversals proportionally.

From the transversal proportionality theorem,

When r, s, t are parallel to each other then a / x = b / y

so,

[tex]\rm \frac{16}{x} = \frac{20}{4} \\\rm x = \frac{16}{5} \\\rm x = 3.2[/tex]

Therefore, from the transversal proportionality theorem of parallel lines r,s,t. the value of x is 3.2.

Learn more about the transversal proportionality theorem here:

https://brainly.com/question/4087830

i need help finding the value of x

Answers

Answer:

Step-by-step explanation:

In the bronze medal game of the 2014 FIBA Asia Cup, and with his team down by two points, Philippines guard Paul Dalistan was fouled while attempting a three-pointer at the buzzer. He missed the shot and headed to the free throw line for three foul shots. Dalistan’s free throw percentage is 84.6.

Answers

Complete Question

Question: In the bronze medal game of the 2014 FIBA Asia Cup... In the bronze medal game of the 2014 FIBA Asia Cup, and with his team down by two points, Philippines guard Paul Dalistan was fouled while attempting a three-pointer at the buzzer. He missed the shot and headed to the line for three foul shots.

1. Watch the video of Dalistan preparing to take his first shot. Before he shoots, what is the probability that Philippines will win the game? Lose the game? Send it into overtime? Dalistan’s free throw percentage is 84.6%

Answer:

a

    The probability that Philippines will win the game is   [tex]P(A) =  0.6055 [/tex]

b

   The probability that Philippines will lose the game is [tex]P(B) =  0.00365[/tex]

c

  The probability that the game will be sent to overtime  is [tex]P(C) =  0.06 [/tex]

Step-by-step explanation:

From the question we are told that

    The  probability of  Paul Dalistan making a shot is  p  =  0.846

   The probability of  Paul Dalistan not making the shot is  [tex]q = 1- p = 1- 0.846=0.154[/tex]

     Paul Dalistan team was down by two points

This mean that for Paul Dalistan's  team to win the game he must make the 3 free throws

So the probability that Philippines will win the game is mathematically represented as

    [tex]P(A) =   p^3 [/tex]

=>  [tex]P(A) =  0.846^3[/tex]

=>  [tex]P(A) =  0.6055 [/tex]

Gnerally for Paul Dalistan's  team to loss the game it means that Paul Dalistan did not make any of the free shot

Hence the probability that Philippines will loss the game is  

     [tex]P(B) =  q^3[/tex]

=>  [tex]P(B) =  (0.154 )^3[/tex]

=>  [tex]P(B) =  0.00365[/tex]

Generally for the game to be sent to overtime  then the game must be tied and for the game to be tied, Paul Dalistan have to make 2 out of the three shots

   Hence the probability that game will go to overtime is  

          [tex]P(C) =  3 *  0.846 *  0.154  *  0.154[/tex]

         [tex]P(C) =  0.06 [/tex]

evaluate -3/5x+y by replacing x with -1/2 and y with 1/2 ?


yeah I’m bad at math help out this is frustrating.‍♀️

Answers

3/10+5/10=8/10=4/5

The answer is 4/5

Substitute x with -1/2 and y with 1/2.

So the equation will look like this:

= -3/ 5(-1/2) + (1/2)

= -3/ -2.5 + 1/2

= -3/ -2

= 1.5

Therefore, the answer is 3/2 or 1.5.

Helen has two more than twice the number of Gail's pokemon cards. If you increase the number of Gail's pokemon cards by 10, she will have the same number of pokemon cards as Helen has. How many pokemon cards does Gail have?

Answers

Answer:

Gail will have 8 cards before adding those 10, 18 if she added those 10.

Step-by-step explanation:

When Gail has 8 cards then Helen would have 18 cards, whicj is twice more than double that of Gail's.

Answer:over 10

Step-by-step explanation:

Get sticke bugged lol

If a number is odd, then it has a remainder of 1 when divided by 2.
Which is the hypothesis of the conditional?

Answers

Answer:

The hypothesis of the conditional is "A number is odd".

Step-by-step explanation:

The statement can be represented by the following proposition:

[tex]P \implies Q[/tex] (Eq. 1)

Where:

[tex]P[/tex] is the hypothesis of the proposition.

[tex]Q[/tex] is the conclusion of the proposition.

[tex]\implies[/tex] - Binary connector, which means "If...., then...."

In this case, we present what each propostion represents:

P = A number is odd.

Q = It has a remainder of 1 when divided by 2.

In consequence, the hypothesis of the conditional is "A number is odd".

Your rating: 5.0 - Excellent!

Answers

Answer:

0.48

Step-by-step explanation:

Multiply 0.6 and 0.8 to get 0.48.

0.48

Researchers have noted a decline in cognitive functioning as people age (Bartus, 1990). However, the results from other research suggest that the antioxidants in foods such as blueberries can reduce and even reverse these age-related declines, at least in laboratory rats (Joseph et al., 1999). Based on these results, one might theorize that the same antioxidants might also benefit elderly humans. Suppose a researcher is interested in testing this theory. The researcher obtains a sample of adults who are older than 65, and gives each participant a daily dose of a blueberry supplement that is very high in antioxidants. After taking the supplement for 6 months, the participants are given a standardized cognitive skills test and produce a mean score of . For the general population of elderly adults, scores on the test average μ and form a normal distribution with σ=9.

(a)-Can the researcher conclude that the supplement has a significant effect on cognitive skill? Use a two-tailed

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

Yes the researcher can  conclude that the supplement has a significant effect on cognitive skill

b

[tex]d =  0.5778 [/tex]

c

The result of this hypothesis test shows that there is sufficient evidence to  that the supplement had significant effect.The measure of effect size is  large due to the large value of Cohen's d (0.5778 > 0.30 )

Step-by-step explanation:

From the question we are told that

  The sample size is  n=16

    The sample mean is  [tex]M  =  50.2[/tex]

    The standard deviation is [tex]\sigma  = 9[/tex]

    The  population mean is  [tex]\mu =  45[/tex]

     The level of significance is  [tex]\alpha =  0.05[/tex]

The null hypothesis is [tex]H_o  \mu =45[/tex]

The alternative hypothesis is [tex]H_a  \mu \ne 45[/tex]

Generally the test statistics is mathematically represented as

          [tex]z =  \frac{M -  \mu}{\frac{\sigma}{\sqrt{n} } }[/tex]

=>       [tex]z =  \frac{50.2 - 45}{\frac{9}{\sqrt{16} } }[/tex]

=>       [tex]z =  2.31 [/tex]

Generally the p-value is mathematically represented as

     [tex]p-value  =  2 *  P(Z >  z )[/tex]

      [tex]p-value  =  2 *  P(Z >  2.31 )[/tex]

From the z-table  

      [tex]P(Z >  2.31 ) = 0.010444[/tex]

=>     [tex]p-value  =  2 *  0.010444 [/tex]

=>     [tex]p-value  =  0.021 [/tex]

From the obtained values we see that [tex]p-value <  0.05[/tex]

 Decision Rule

 Reject the null hypothesis

Conclusion

There is sufficient evidence to conclude that the supplement has a significant effect on the cognitive skill of elderly adults

Generally the Cohen's d for this study is mathematically represented as

    [tex]d =  \frac{M  -  \mu}{\sigma }[/tex]

=>  [tex]d =  \frac{50.2 -45}{9 }[/tex]

=>  [tex]d =  0.5778 [/tex]

Guys PLZZZ help meeeess

Answers

Answer:

Answer to 1. 2. 3.

Step-by-step explanation:

1. Pairs of socks: 1, 4, 5, 10

Cost in dollers: 2.50, 10, 12.50, 25

you can buy 10 pairs of socks for 25$

2. Miles: 35, 280, 420

Gallons: 1, 8, 12

Mr. fink cand drive 280 miles on 8 gallons of gas.

3. Pages 1, 2, 3, 4, 5, 6

Stickers: 9, 18, 27, 36, 45, 54

Jenny has 54 stickers in her unicorn sticker book.

i will give u brainliest

Answers

Answer:

7 and the remainder is 0

Step-by-step explanation:

PLEASE HELP NOW!!!!
WILL MARK BRAINLIEST AND ALL THAT JAZZ!!




The rule for significant digits in multiplication is, the answer should reflect the number in the problem with the
most significant digits
b. fewest significant digits
a. Most significant digits

Answers

Answer:

b

Step-by-step explanation:

BCCCCCC

Can anyone answer this by sending a photo with 20-30 different numbers in a set so that I can do a project by making a class chart? This is in my Prob/Stats Class. All I need is the set of numbers; the rest I can do. Thank you!
This is for 30 points.

Answers

Answer:

i figured out how to attach lol

Step-by-step explanation:

Dante and Erica just returned from a comic bookstore that sells new and used comic books.
Dante spend $10.25 on 2 new and 3 old books, and Erica spend 13.75 on 10 used and 3 new
ones. Which system of equations can be used to find how much the new and old books costs?

Answers

So I’m sole but this is by far

What is 17,683 rounded to the nearest ten thousand?

Answers

20,000

Thankyou :)

Follow me....

17,680 is your answer

Please Need i ASAP
I will give brainliest the correct answer!

What is the range of the linear equation graphed?
A. R: -1 < y < 3
B. R: 3 < y < -1
C. R: - 1 <= y <= 3
D. R: 3 <= y <= - 1

Answers

Answer:

A. R: -1 < y < 3

What is the equation olf the line that is parallel to the gven line and has an x-intercept of 3? Oy-x+3 Oy-x+2 Oy=-x+3 Oy=-x+2​

Answers

Answer:

It’s D

Step-by-step explanation:

The equation of the parallel line is y = x - 3, the correct option is C.

What is y-intercept of a function?

The intersection of the graph of the function with the y-axis gives y-intercept of that function. The y-intercept is the value of y on the y-axis at which the considered function intersects it.

Assume that we've got: y = f(x)

At y-axis, we've got x = 0, so putting it will give us the y-intercept.

Thus, y-intercept of y = f(x) is y = f(0)

We are given that;

x-intercept = 3

Now,

we can find the equation of the line parallel to the given line and passing through the point (3, 0):

The given line has an equation of y = x + 3. This is already in slope-intercept form, so we can see that the slope is 1. The parallel line will have the same slope of 1.

The point that the parallel line passes through is (3, 0). We can use this point and the slope to write the equation of the parallel line in point-slope form:

y - 0 = 1(x - 3)

y = x - 3

Therefore, the slope intercept will be y=x-3

Learn more about y-intercept here:

https://brainly.com/question/16540065

#SPJ7

Find an equation in standard form of the parabola passing through the points (1, -2), (2, -2), (3, -4)?

Answers

9514 1404 393

Answer:

  y = -x^2 +3x -4

Step-by-step explanation:

We are given two points with the same y-value, so we know the axis of symmetry lies halfway between their x-coordinates, at ...

  x = (1 +2)/2 = 3/2

Then the vertex form of the equation can be written ...

  y = a(x -3/2)^2 +k

__

We can use two of the points to find the values of 'a' and 'k'.

For (x, y) = (1, -2)

 -2 = a(1 -3/2)^2 +k = a/4 +k

For (x, y) = (3, -4)

  -4 = a(3 -3/2)^2 +k = 9a/4 +k

Subtracting the first of these equations from the second, we have ...

  (9a/4 +k) -(a/4 +k) = (-4) -(-2)

  2a = -2

  a = -1

Then k can be found from the first equation.

  -2 = -1/4 +k

  k = -1  3/4

So, the vertex form equation is ...

  y = -(x -3/2)^2 -7/4

__

Expanding this, we can find the standard form.

  y = -(x^2 -3x +9/4) -7/4)

  y = -x^2 +3x -4

Express 30 ^1/3 in simplest radical form.

Answers

Answer:

10

Step-by-step explanation:

Select whether each value for x will make the inequality below a True or False statement. x + 2 > 5.8

3 True or False
6 True or False
7.1 True or False
5/3 True or False
19/5 True or False
45/7 True or False

Answers

Answer:

Pretty Sure It's, B, C, F, H

Step-by-step explanation:

Because, If you put each in decimal form and compare it with 5.8, just find out the bigger number and BOOM, you got ya answer!

Answer:

B C F H

Step-by-step explanation:

hope this helps can i please have brainliest that would be great

Can you help me solve for a?

Answers

Answer:

10

Step-by-step explanation:

We can look at the denominators(bottom numbers in a fraction), and find a relationship. 15 is 5 times 3, so let's multiply 2 by 5 to get z!

2(5)=10

What is the scale of a map if 1 cm on a map represents 20 km in real life?

Answers

Answer:

1cm: 20km

Step-by-step explanation:

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Samantha was eager to get to the park, but she knew that Mr. Hernandez was lonely. She called out a greeting.Samantha, its good you are here. I think Ive been in the sun too long without a hat. I feel a little dizzy. Can you help me to the porch?Samantha guided him to the porch and brought a glass of water from the house. Mr. Hernandez seemed a little better in the shade but Samantha wanted to make sure, so she stayed awhile and chatted. Mr. Hernandez listened as Samantha poured out her longing to learn how to play baseball so that she could make friends.By the time Samantha was sure Mr. Hernandez was all right, it was too late to walk past the park. She hurried home to help her mother prepare the evening meal. Then her mother sent her back to get Mr. Hernandez. 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