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
...............................................................................................................................................
Answer:
b
Step-by-step explanation:
10 points Solve for x
[tex]2+x\ \textgreater \ 33+3x[/tex]
Answer:
[tex]x<-\frac{31}{2}[/tex]
Step-by-step explanation:
(x is 85% of 13, 60% of 45 is y)
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
Answer:
Her yearly salary is $18,000 (c)
need help pleasssss
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=
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]
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
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.
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 =
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
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
B. 3:14
Hope that helped:)
do we have to multiply???
Answer:
6
Step-by-step explanation:
mulyiplying is for finding out the area
4x+10=-26 help me please and thank you
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.
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
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 *
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
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).
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!
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
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
.
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
Answer:
75 luxStep-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 proportionalityLet's substitute given values and find the value of k:
48 = k/5²k = 48*25k = 1200Our equation becomes:
y = 1200/x²Now find the value of y when x = 4:
y = 1200/4²y = 1200/16y = 75The equation p=4s represents the perimeter of a square with a side length of s. What is the constant of proportionality
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?
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
Answer:
60km/h
Step-by-step explanation:
90 ÷ 1.5
= 60
60 km/h
25 points! What is the exact value of sin (165)?
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
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
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?
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.
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