4.
Which of the following describes the parabola with the equation y = −x2 − 3x + 6?

A. The axis of symmetry is x = −1.5 and the vertex is (−1.5, 8.25).

B. The axis of symmetry is x = 1.5 and the vertex is (1.5, 12.75).

C. The axis of symmetry is x = −1 and the vertex is (−1, −3).

D. The axis of symmetry is x = 0 and the vertex is (0, 6).

Answers

Answer 1

Answer:

B.    The axis of symmetry is x = 1.5 and the vertex is (1.5, 12.75).

Step-by-step explanation:

I will solve the problem by applying the perfect square trinomial. In this way we obtain the canonical form. Another way would be to derive the function, but I don't know if you're familiar with it.

First: let us take out the common factor: , since we remember that the canonical form is characterized as follows:

Then, it remains:

Then: the coefficient of the variable  We divided it between , And we square it (they will be one positive and one negative). In our case:

Let's accommodate terms to make it easier:

Can be written as :

Now, what is underlined is our perfect square trinomial, let us recall its form:

Applying the same principle we are left:

Applying distributive property we get:

Therefore it will have its vertex in:  

The axis of symmetry is a straight line that makes the function to be projected being , for this you need some reference point, for the parabola you need the coordinate in  of the vertex.

For which the axis of symmetry is .

-1.5

...............................................................................................................................................

4. Which Of The Following Describes The Parabola With The Equation Y = X2 3x + 6?A. The Axis Of Symmetry
Answer 2

Answer:

b

Step-by-step explanation:


Related Questions

10 points Solve for x
[tex]2+x\ \textgreater \ 33+3x[/tex]

Answers

Answer:

[tex]x<-\frac{31}{2}[/tex]

Step-by-step explanation:

(x is 85% of 13, 60% of 45 is y)

Answers

x equals 0.85 times 13
x equals 11.05

y equals 0.6 times 45
y equals 27

Jane Rose’s semimonthly salary is $750. Her yearly salary is A.$9000 B. $12,500 C. $18,000 D. $19,500 E. $21,000

Answers

Answer:

Her yearly salary is $18,000 (c)

need help pleasssss ​

Answers

Answer:

Polynomial Degree: 6 Leading Term: 7y^6 Leading Coefficient: 7

Step-by-step explanation:

Thank me later

What is m∠SVT?
Enter your answer in the box.
m∠SVT=

Answers

Answer:

m∠SVT = 79

Step-by-step explanation:

8y-33 = 5y+9

y = 14

5(14)+9 = 79

I hope this helps!

[tex]\frac{5}{\sqrt{2} }[/tex]

Answers

Answer:yesStep-by-step explanation:

yes

Find the area, to the nearest thousandth, of the indicated region of the standard normal distribution. The region where z < −0.38

Answers

The area of the indicated region of the standard normal distribution is 0.3520.

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation[/tex]

From the normal distribution table, the region where z < −0.38 = P(z < -0.38) = 0.3520

Find out more at: https://brainly.com/question/15016913

A football team charges $30 per ticket and averages 20,000 people per game. Each person spend an average of $8 on concessions.For everydrop of $1 in price,the attendance rises by 800 people.What ticket price should the team charge to maximize total revenue? Calculate the TR max.

Answers

The ticket price that would maximize the total revenue would be $ 23.

Given that a football team charges $ 30 per ticket and averages 20,000 people per game, and each person spend an average of $ 8 on concessions, and for every drop of $ 1 in price, the attendance rises by 800 people, to determine what ticket price should the team charge to maximize total revenue, the following calculation must be performed:

20,000 x 30 + 20,000 x 8 = 760,000 24,000 x 25 + 24,000 x 8 = 792,000 28,000 x 20 + 28,000 x 8 = 784,000 26,000 x 22.5 + 26,000 x 8 = 793,000 27,200 x 21 + 27,200 x 8 = 788,000 26,400 x 22 + 26,400 x 8 = 792,000 25,600 x 23 + 25,600 x 8 = 793,600 24,800 x 24 + 24,600 x 8 = 792,000

Therefore, the ticket price that would maximize the total revenue would be $ 23.

Learn more in https://brainly.com/question/7271015

pls help i will mark the brainlyest The difference between two whole numbers is 8. Twice the smaller number is 4 more than the larger number.

What is the smaller number?

Enter your answer in the box.

smaller number =

Answers

Answer:

Step-by-step explanation:

x - y = 8

2*y = x + 4  Reverse the equation

x + 4= 2y    Subtract 4 from both sides

x = 2y - 4

Put that value for x in the first equation

2y - 4 - y = 8        Combine like terms on the ledt

y - 4 = 8               Add 4 to both sides

y = 8 + 4

y = 12

x - y = 8

x - 12 = 8           Add 12 to both sides

x = 8 + 12

x = 20

Please help me please explain this to me please
Thanks

Answers

Answer:

B- 20

D- no solutions

Step-by-step explanation:

Cuz its light work lol

Answer:

For the first question, the answer is x=20 so the answer is B

For the second I don't know, sorry :(

Step-by-step explanation:

What are the odds against choosing a blue or green marble from a bag that contains two blue marbles, one green marble, seven white marbles, and four red marbles?
5:14
3:14
3:11
11:3

Answers

B. 3:14

Hope that helped:)

do we have to multiply???​

Answers

Answer:

6

Step-by-step explanation:

mulyiplying is for finding out the area

The missing side length = 6 m. We don’t have to multiply

4x+10=-26 help me please and thank you​

Answers

Answer:

-9

Step-by-step explanation:

BECAUSE 4 x -9 would equal -36. If you added 10 it would then be -26 (NOT -46 because remember, this is the negatives). And there you go :]

[tex]4x+10 = -26 \\\\\implies 2x +5 = -13\\\\\implies 2x = -13 -5 = -18\\\\\implies x = -9[/tex]

A consumer group wishes to estimate the proportion of adult Twitter users that get at least some news on Twitter. A poll is conducted and it is found that from a SRS of 1251 adult Twitter users, 641 of them get at least some news on Twitter.

2b) What is the 90% confidence interval for the proportion of adult Twitter users that get at least some news on Twitter. Round to 4 decimal places.

Answers

Applying the steps to find the confidence interval of a proportion, it is found that the 90% confidence interval for the proportion of adult Twitter users that get at least some news on Twitter is (0.4892, 0.5356).

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

From a SRS of 1251 adult Twitter users, 641 of them get at least some news on Twitter, hence:

[tex]n = 1251, \pi = \frac{641}{1251} = 0.5124[/tex]

90% confidence level

So [tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so [tex]z = 1.645[/tex].  

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5124 - 1.645\sqrt{\frac{0.5124(0.4876)}{1251}} = 0.4892[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5124 + 1.645\sqrt{\frac{0.5124(0.4876)}{1251}} = 0.5356[/tex]

The 90% confidence interval for the proportion of adult Twitter users that get at least some news on Twitter is (0.4892, 0.5356).

A similar problem is given at https://brainly.com/question/16807970

Is this proportional?
y = 7x + 3

Answers

Answer:

This equation is NOT proportional

Step-by-step explanation:

A proportional version of this equation would be Y=7x

What is the value of each expression in simplest form? 1 1 5/7 + 8 1/7 *

Answers

19 6/7 is the simplest form for 11 5/7 + 8 1/7
The answer is 19 6/7

Help please, I only have 1 attempt left so I have to get it right.
30 points

I can't tell if its AAS or ASA

Answers

Answer:

Its ASA!

Step-by-step explanation:

3.
Is the relationship shown by the data linear? If so, model the data with an equation.


x
y
–9
–2
–5
–7
–1
–12
3
–17


A. The relationship is not linear.

B. The relationship is linear; y + 9 = -4/5 (x + 2).

C. The relationship is linear; y + 2 = -5/4 (x + 9).

D. The relationship is linear; y + 2 = 4/5 (x + 9).

Answers

Answer:

C.    The relationship is linear; y + 2 = (-5/4)x - 11.25

Step-by-step explanation:

If the relationship f is linear then its graph is a line D of equation y = ax+b

(-9 ,-2)∈D ⇔ -2 = -9a + b  (1)

(-5 , -7)∈D ⇔ -7 = -5a + b (2)

(2)-(1)⇒ -5 = 4a ⇒ a = -5/4

-2 = -9a + b  ⇒ -2 = -9(-5/4) + b ⇒  2 +45/4 = -b ⇒ b = -13.25

then

D : y = (-5/4)x - 13.25 ⇒ y + 2 = (-5/4)x - 11.25

since (-1,-12) and (3,-17) are points of D (easy to check)

then it’s a linear relationship

Please Help me
I really need to get this problem right!

Answers

Answer:

8

Step-by-step explanation:

You can set up a proportion to find your missing side.

Let x be the missing side.

[tex]\frac{12}{x} =\frac{18}{12}[/tex]

Cross multiply and solve for x.

144= 18x

8=x

Answer:

8 mm

Step-by-step explanation:

[tex]\frac{12}{18} = {?}{12} \\\\ 18×? = 144 \\\ ? = \frac{144}{18} \\\\ ? = 8[/tex]

I hope I've helped you.

125x^3-27 factor polynomials

Answers

Answer:

The answer is (5x - 3) (25x² + 15x + 9)

Step-by-step explanation:

125x³ - 27

5 × 5 × 5 × x × x × x - 3 × 3 × 3

Rewrite 125x³ as (5x)³.

(5x)³ - 27

Rewrite 27 as (3)³.

(5x)³ - (3)³

Here, Both terms are perfect cubes, factor using the difference of cube formula,

a³ - b³ = (a - b) (a² + ab + b²)

where,

a = 5x

b = 3

Now,

(5x - 3) [(5x)² + (5x)(3) + (3)²]

Now, Simplify

(5x - 3) (25x² + 15x + 9)

Thus, The answer is (5x - 3) (25x² + 15x + 9)

-TheUnknownScientist 72

BRANLIEST and 35 points. Design, explain, work out, and explain the answer for an equation using the formula to calculate force is
d
F = m x d/t^2 where m represents mass, d represents distance, and t represents time.
a. Find the force output of a car:
with a mass of ? _? x 10?
?kg
traveling a distance of ? _? x 10?
meters
for?
7 x 102
?seconds
.

Answers

Answer:

What is the smallest angle of rotational symmetry for the regular octagon?

°

Step-by-step explanation:

The intensity of light from a light source vaties inversely as the square of the distance from the source. If the intensity of a light bulb is 48 lumen/m 2 (lux) at a
distance of 5 m, determine the intensity at 4 m.

Help plz

Answers

Answer:

75 lux

Step-by-step explanation:

Let the intensity is y and the distance is x.

Their relationship is:

y = k / x², where k is the coefficient of proportionality

Let's substitute given values and find the value of k:

48 = k/5²k = 48*25k = 1200

Our equation becomes:

y = 1200/x²

Now find the value of y when x = 4:

y = 1200/4²y = 1200/16y = 75

The equation p=4s represents the perimeter of a square with a side length of s. What is the constant of proportionality

Answers

Answer:

  4

Step-by-step explanation:

The constant of proportionality is the coefficient of the independent variable. The constant of proportionality is 4.

A piece of cloth is 12 yards in length. if 3/4 of the cloth is used for bedsheet, how many yards of the cloth will be left?

Answers

Answer:

9 yards

Step-by-step explanation:

multiply the length of the cloth by the length used for bedsheet

[tex]12*\frac{3}{4}\\9 yards[/tex]

Question 6 Distance = 90 km, Time = 1 hour 30 minutes, speed = ? km/h = Question 10 please help​

Answers

Answer:

60km/h

Step-by-step explanation:

90 ÷ 1.5

= 60

60 km/h

25 points! What is the exact value of sin (165)?

Answers

Answer: 0.2588

Step-by-step explanation:

which expression is NOT equivalent to 2q + 24?

A). 2 • q + 2 • 12

B). 2(q + 12)

C) (2q • 20) + 4

D). (12 + q) • 2​

Answers

Answer:

C

Step-by-step explanation:

2q.20+4= 40q+4 not equivalent to 2q+24

mark has a board that is 12 feet long he cuts into 8 pieces how long is each piece

Answers

Answer:

1.5 Feet

Step-by-step explanation:

Answer:

3 ft

Step-by-step explanation:

Divide 12 ft by 8 pieces.

12 ÷ 8 = 3

Suppose △LPO ≅ △HJU.
What is the corresponding congruent parts for each segment or angle?

Answers

Answer:

NG ( first and last letter of NBG)  = WS ( first and last letter of WTS).

BG = TS

G = S

N =W or NG = WS; BG = TS; G = S; N = W.

Step-by-step explanation:

We use the congruence statement to answer these questions.  From the way the congruence statement is written, we can see that N = W (they are in the same relative position in the congruence statement).  We also see that G and S are in the same relative position, so G = S.

Since N = W and G = S, this means that NG = WS.

From the congruence statement we can also see that B = T (they are in the same relative position).  Since G = S, this means that BG = TS.

Anyone can help? I need it less then 6 mins.

Answers

Answer:

80 4/5

Step-by-step explanation:

4 4/5 x 20 = 80 20/25 and that is also equal to - 80 4/5

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