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2 years ago

Y=-3x2 + x + 17 axis of symmetry?

Mathematics

2 answers:

cupoosta [38]2 years ago

7 0

Answer:

1/6

Step-by-step explanation:

The x-coordinate of the vertex is always the x-value of the axis of symmetry. The vertex can be found by $x=\frac{-b}{2a}$ . If we look at this equation as $y=ax^{2} +bx+c$ ,

$b=1$ and $a=-3$ .

When you plug those values into the x equation you get $x=\frac{1}{6}$ .

stealth61 [152]2 years ago

5 0

Answer :
1/6

Explanation:

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An apartment complex rents an average of 2.3 new units per week. If the number of apartment rented each week Poisson distributed

masya89 [10]

Answer:

$P(X\leq 1) = 0.331$

Step-by-step explanation:

Given

Poisson Distribution;

Average rent in a week = 2.3

Required

Determine the probability of renting no more than 1 apartment

A Poisson distribution is given as;

$P(X = x) = \frac{y^xe^{-y}}{x!}$

Where y represents λ (average)

y = 2.3

<em>Probability of renting no more than 1 apartment = Probability of renting no apartment + Probability of renting 1 apartment</em>

<em />

Using probability notations;

$P(X\leq 1) = P(X=0) + P(X =1)$

Solving for P(X = 0) [substitute 0 for x and 2.3 for y]

$P(X = 0) = \frac{2.3^0 * e^{-2.3}}{0!}$

$P(X = 0) = \frac{1 * e^{-2.3}}{1}$

$P(X = 0) = e^{-2.3}$

$P(X = 0) = 0.10025884372$

Solving for P(X = 1) [substitute 1 for x and 2.3 for y]

$P(X = 1) = \frac{2.3^1 * e^{-2.3}}{1!}$

$P(X = 1) = \frac{2.3 * e^{-2.3}}{1}$

$P(X = 1) =2.3 * e^{-2.3}$

$P(X = 1) = 2.3 * 0.10025884372$

$P(X = 1) = 0.23059534055$

$P(X\leq 1) = P(X=0) + P(X =1)$

$P(X\leq 1) = 0.10025884372 + 0.23059534055$

$P(X\leq 1) = 0.33085418427$

$P(X\leq 1) = 0.331$

Hence, the required probability is 0.331

6 0

2 years ago

How to do this and what's the answer

Darya [45]

The answer to this question is b I got it wrong With picking a and my teacher said it was b

6 0

2 years ago

Suppose 850 tickets were sold for a game for a total of $1100. If adult tickets cost $1.50 and children tickets cost $1.00, how

Nesterboy [21]

500 adult tickets and 350 children tickets.

Check :
500A($1.5)=$750
350C($1)=$350

$750 + $350 = $1100 AND 500 + 350 = 850 tickets

8 0

2 years ago

Which of these graphs is the solution set for the equation y = -3x - 2?

Gala2k [10]

A because y=-3x-2 has these transformations
The negative before the 3 means the slope is going down
The 3 means it goes 3 down every time it goes right one, the number before the x is the slope and slope is rise over run, 3 = 3/1 so it would normally mean it goes up 3 every time it goes right one but because the 3 is negative it means the line goes down
The negative two at the end moves the line down two, if it were plus two the line would go up two, the number in this spot is what determines the vertical translation

Put it all together and you get the line has goes down 3 every time it goes right one and crosses the y axis at -2

P.S. wouldn't mind getting brainliest

5 0

2 years ago

We expect a car's highway gas mileage to be related to its city gas mileage (in miles per gallon, mpg). Data for all 1137 vehicl

USPshnik [31]

Answer:

a) As we can see on the equation given the slope os 1.033 since is the value next to the city mpg (independent variable)

And on this case since the value for the slope is positive the best interpretation is:

E. On the average, highway mileage increases by 1.033 mpg for each additional mpg in city mileage

Because we see the if we increase on 1 unit the city mpg then the highway mpg would increase 1.033

b) For this case as we can see in the model the free term correspond to 6.785 and that correspond to the intercept for this case.

And the best interpretation is given by:

B. Because this is the highway mileage for zero city mpg.

For this reason is not meaningful since we are not interested on 0 or negative city mpg.

c) highway mpg = 6.785 + (1.033 × 18)=25.38 mpg

highway mpg = 6.785 + (1.033 × 25)=32.61 mpg

d) See the figure attached.

Step-by-step explanation:

For this case we have the following linear model:

highway mpg = 6.785 + (1.033 × city mpg)

(a) What is the slope of this line? Say in words what the numerical value of the slope tells us.

As we can see on the equation given the slope os 1.033 since is the value next to the city mpg (independent variable)

And on this case since the value for the slope is positive the best interpretation is:

E. On the average, highway mileage increases by 1.033 mpg for each additional mpg in city mileage

Because we see the if we increase on 1 unit the city mpg then the highway mpg would increase 1.033

(b) What is the intercept? (Enter your answer to three decimal places.)mpgExplain why the value of the intercept is not statistically meaningful.

For this case as we can see in the model the free term correspond to 6.785 and that correspond to the intercept for this case.

And the best interpretation is given by:

B. Because this is the highway mileage for zero city mpg.

For this reason is not meaningful since we are not interested on 0 or negative city mpg.

(c) Find the predicted highway mileage for a car that gets 18 miles per gallon in the city. (Round your answer to two decimal places.)______ mpgFind the predicted highway mileage for a car that gets 25 miles per gallon in the city. (Round your answer to two decimal places.)______ mpg

For this case we just need to replace into the formula and we got:

highway mpg = 6.785 + (1.033 × 18)=25.38 mpg

highway mpg = 6.785 + (1.033 × 25)=32.61 mpg

(d) Draw a graph of the regression line for city mileages between 10 and 50 mpg. (Be sure to show the scales for the x and y axes.)

See the figure attached

6 0

3 years ago