can someone solve this please, thank you​

Answer:

Step-by-step explanation:

The Vertex is at (3, 0)

The Axis of symmetry is; x = 3

The x-intercept is; x = 3

We are given the quadratic equation as;

y = -2(x - 3)²

Expanding this gives us;

y = -2(x² - 6x + 9)

y = -2x² + 12x - 18

x coordinate of vertex = -b/2a = -12/(2 * -2) = 3

y coordinate of vertex = f(3) = -2(3)² + 12(3) - 18 = 0

Vertex is at (3, 0)

Axis of symmetry is the x coordinate of vertex = -b/2a = -12/(2 * -2) = 3

x-intercepts is gotten by finding the roots which are; x = 3 and 3

Read more about Vertex and Axis of Symmetry at; https://brainly.com/question/15709421

#SPJ1

Answer:

∠ B = 82°

Step-by-step explanation:

complementary angles sum to 90° , then

∠ A + ∠ B = 90 , that is

x - 19 + 3x + 1 = 90

4x - 18 = 90 ( add 18 to both sides )

4x = 108 ( divide both sides by 4 )

x = 27

Then

∠ B = 3x + 1 = 3(27) + 1 = 81 + 1 = 82°

the five prime number are 19,29,29,37,41

mean =sum of observations / total number of observation

         = 19+29+29+37+41  /5

          = 155/5

          =31

median = (n+1) / 2  th term       n is number of term and n is odd

               = (5+1) /2 th term

                 = 3 rd term

                 = 29

mode = the value that appears most in the data

         = 29

learn more of mean ,median,mode here https://brainly.com/question/15323584

#SPJ9

154mm

we know that  1cm = 10 mm

 therefore      15cm= 10*15 mm

                               =  150 mm

and 4 mm

we get total mm= 15cm +4mm

                          = 150mm+4mm

                           = 154 mm                  

mm stands for millimeters and cm stand for centimeters

learn more of millimeter here https://brainly.com/question/25862563

#SPJ9

Answer: Where are the tables?

We're given:

This means that the consecutive odd integers will be m + 2 and m + 4.

If we add all their ages, it will look like this:

[tex]m+(m+2)+(m+4)\\= m+m+2+m+4\\= 3m+2+4\\= 3m+6[/tex]

[tex]3m+6[/tex]

The product of 12 and √17 is not a rational number.

Any number that can be expressed as a fraction and where the denominator (the bottom number) and the numerator (the top number) are both integers is considered a rational number.

The product of ant two rational numbers is always a rational number , but product of a irrational number and a rational number is not a rational number.

Hence only the third option is correct.

To learn more about rational number this;

https://brainly.com/question/24398433

#SPJ9

Each child would get 1/12 th part of the whole watermelon.

For given question,

8 children have to share two thirds of a watermelon equally .

This means we need to equally distribute 2/3 of whole watermelon to 8 children.

To divide 2/3 part of of a watermelon equally into 8 parts, we need to divide 2/3 by 8.

(2/3) ÷ 8

= [tex]\frac{(\frac{2}{3} )}{8}[/tex]

We know that in 8 = 8/1

So, we rewrite the denominator of above fraction as,

[tex]\frac{(\frac{2}{3} )}{8} \\\\= \frac{(\frac{2}{3} )}{(\frac{8}{1} )} \\\\=\frac{2}{3} \times \frac{1}{8} \\\\=\frac{1}{12}[/tex]

This means, each child will get 1/12 part of the whole watermelon.

Therefore, each child would get 1/12 part of the whole watermelon.

Learn more about the fraction here:

https://brainly.com/question/8969674

#SPJ4

Area of the region inside the circle r=4cos(theta) and outside the circle r=2 is 4π/3 + 2√3

A form created using the polar coordinate system is called a polar curve. Points on polar curves have varying distances from the origin (the pole), depending on the angle taken off the positive x-axis to calculate distance. Both well-known Cartesian shapes like ellipses and some less well-known shapes like cardioids and lemniscates can be described by polar curves.

r = 1 − cosθsin3θ

Polar curves are more useful for describing paths that are an absolute distance from a certain point than Cartesian curves, which are good for describing paths in terms of horizontal and vertical lengths. Polar curves can be used to explain directional microphone pickup patterns, which is a useful application. Depending on where the sound is coming from outside the microphone, a directional microphone will take up sounds with varied tonal characteristics. A cardioid microphone, for instance, has a pickup pattern like a cardioid.

The area between two polar curves can be found by subtracting the area inside the inner curve away from the area inside the outer curve.

The figure attached shows the bounded region of the two graphs. The red curve is  r=4cos⁡(θ) and the blue curve is r=2.

The points of intersection of the two curves are

θ = π/3 and 5π/3

The area is calculated as follows:

Since the bounded region is symmetric about the horizontal axis, we will find the area of the top region, and then multiply by 2, so as to get the total area.

A = 2 [tex]\(\int_{0}^{\pi /3}[/tex] ½ (4 cos (θ)² − ½ (2)² dθ

  =  [tex]\(\int_{0}^{\pi /3}[/tex] 16 cos2 (θ) − 4dθ

  = [tex]\(\int_{0}^{\pi /3}[/tex] 8 (1+cos(2θ)) − 4dθ

  =[tex]\(\int_{0}^{\pi /3}[/tex] 4 + 8 cos (2θ) dθ

  = [4θ + 4sin (2θ)] [tex]\(\int_{0}^{\pi /3}[/tex]

  = 4π/3 + 2√3

To learn more about the,  polar curve visit:

https://brainly.com/question/27548409

#SPJ4

The number of marbles left in the pocket after losing is  29 { after narrating the story in numerical sentences}

Given that Tran bought 25 marbles and put them in his pocket with 10 other marbles. He had a hole in his pocket and lost 6 marbles. and asked to narrate the story in numerical form

Total number of marbles Tran bought=25 marbles

Total number of marble Tran has before buying new marbles=10 marbles

Total number of marbles after buying new marbles=35 marbles

Given that he lost 6 marbles because of the  hole in his pocket

Therefore, the Total number of marbles left=35-6

The total number of marbles left=29 marbles.

Therefore, The number of marbles left in the pocket after losing is  29 { after narrating the story in numerical sentences}

Learn more about marbles here:

https://brainly.com/question/1670421

#SPJ9

The water level after the rainfall is 1.75 below average.

From the information, the water level in Colorado river is 2.55 m below average. a large rainfall caused and the water level to rise 0.8 m.

The water level after the rainfall will be:

= -2.55 + 0.8

= -1.75

Therefore, the water level after the rainfall is 1.75 below average.

Learn more about numbers on:

brainly.com/question/24644930

#SPJ1

Answer:

25 tickets were purchased ahead of time

Explanation and Check part below

Hope this helps :)

Step-by-step explanation:

1)

25

× 11

------

275

2)

625

-275

--------

350

3)

350 ÷ 14 = 25

Check:

350 (dollars from purchased ahead of time)

+275 (dollars from purchased at the door)

--------

$ 625 (total ticket sales stated in the word problem)

Answer:

2

Step-by-step explanation:

The prediction thay the shopper can make about buying mystery bags in the future is A.There will be 4 more spy novels in 8 bags than in 6 bags.

Since the shopper bought 3 mystery bags and found that 6 books were spy novels, it means that there are 6/3 = 2 spy novels in each bag.

There, the prediction thay the shopper can make about buying mystery bags in the future is that there will be 4 more spy novels in 8 bags than in 6 bags.

This is because there's an extra 2 bags which will be equal to 4 spy novels

Learn more about mystery numbers on:

brainly.com/question/25734188

#SPJ1

Answer:

Less than and -97

Step-by-step explanation:

Answer: -17

Step-by-step explanation:

find the value by using the systematic of expressions then exponent it then factorize it by using prime numbers

Answer:60*10-8*6

Step-by-step explanation: after you complete the first step which is perenthesis you are left with 60*10-8*6

The first step is the parenthesis. the left after completing the first step of PEMDAS is answer 552.

The equation is given as:

60* 10-8* (3* 2)

Using PEMDAS, the first step is to open the brackets by multiplication So, we have:

60* 10-8* (3* 2)

60* 10-8*6

Then multiply the rest and subtract.

600- 48 = 552

Hence, the first step is the parenthesis. the left after completing the first step of PEMDAS is answer 552.

Read more about expressions at:

brainly.com/question/723406

#SPJ2

The amount of cheese in each plate = 1.5x

There are 30 bags of shredded cheese.

Let 'x' be the quantity of cheese in each bag. Then,  

The total quantity of cheese in 30 bags = 30x

Number of plates = 20 plates

We need to determine the quantity of cheese put on each plate so that each plate has the same amount of shredded cheese.

For this we just need to divide the total amount of shredded cheese by the number of plates.

The equal amount of cheese in each of 20 plates = 30x/20

                                                                                   = 3x/2

                                                                                   = 1.5x

Learn more about Dividing into equal parts at https://brainly.com/question/27436743

#SPJ1

Answer:

8:10, 12:15

Step-by-step explanation:

The slope of the lines containing the following points (-2, 1) & (-5,5) is [tex]\frac{-4}{3}[/tex].

As per the question statement, two points lie (-2, 1) & (-5,5) on a line.

We are supposed to find the slope of the line.

To solve this question, we need to know the formula to calculate the Slope of line passing through two points [tex](x_{1} ,y_{1} )[/tex] and [tex](x_{2} ,y_{2} )[/tex] which is given by

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

Since given in the question statement, our concerned points are (-2, 1) & (-5,5), we can consider [tex][x_{1}=(-2)] , [x_{2}=(-5)], [y_{1}=1][/tex] and [tex][y_{2}=5][/tex].

Using these values into above mentioned formula, we get,

Slope (m) = [tex]\frac{5-1}{[(-5)-(-2)]}=\frac{4}{-3}=\frac{-4}{3}[/tex].

To learn more about Slope of lines, click on the link below.

https://brainly.com/question/16180119

#SPJ9

, <--- That is called a comma

Sam pays 680$ per year for his current car and will pay 544$ per year if he buys the new car as per dealer's claim.

According to the question statement, A car dealer claims that buying a new car Sam will have to pay 20% less for gas than for the car he currently owns. The car Sam currently drives costs 15% less to gas than Don's car. Don pays 800$ per year for gas car. It is assumed that all cars will be travelling the same distance.

We are supposed to find out how much will Sam pay for his current car.

To solve this question, we need to know about the concept of percentage of any number.

Don currently pays 800$ per year on gas.

Sam pays 15% less than what Don pays, Therefore the money Sam is paying currently will be 800$ minus 15% of 800$ i.e.,

= [tex]800 - \frac{15}{100} *800[/tex]

= [tex]800-120[/tex]

= [tex]680[/tex]$

680$ per year is the money Sam is spending currently.

If he buys the new car, according to the claim of dealer, he will pay 20% less than what he is paying currently i.e., 680$ - 20% of 680$

= [tex]680-\frac{20}{100} *680\\[/tex]

= [tex]680 - 136[/tex]

= [tex]544[/tex]$

Therefore, Sam pays 680$ per year on gas on his current car but if he buys the new car he will pay 544$ per year on gas.

If you wish to learn more about percentage, click the link given below:

https://brainly.com/question/15232600

#SPJ9

The maximum resultant intensity in terms of the intensity of the initial unpolarized incoming light I₀ is given as -

Polarization is the property of wave oscillations having a definite direction relative to the wave's propagation direction. Transverse waves that can be polarized are EM waves. The polarization direction is defined as the direction parallel to the EM wave's electric field.

The effect of a polariser on polarised light is described by Malus' law, which states that-

To know more about the polarization, here

https://brainly.com/question/3092611

#SPJ4

The correct question is -

What is the maximum resultant intensity in terms of the intensity of the initial unpolarized incoming light I₀.

Answer: $382.50

Step-by-step explanation:

8.50 x 45 = 382.50

The value of x is 27°, m∠=PQY=101° and m∠RQY=79°.

Given that, m∠PQY= 4x-7 and m∠RQY = 2x+25 are linear pairs of angles.

Linear pairs of angles are formed when two lines intersect each other at a single point. The angles are said to be linear if they are adjacent to each other after the intersection of the two lines. The sum of angles of a linear pair is always equal to 180°.

Now, m∠PQY+m∠RQY=180°

⇒4x-7+2x+25=180°

⇒6x+18=180°

⇒6x=162

⇒x=27°

So, m∠=PQY=4x-7

=101°

and m∠RQY=2x+25

=79°

Therefore, the value of x is 27°, m∠=PQY=101° and m∠RQY=79°.

To learn more about the linear pair of angles visit:

https://brainly.com/question/1757859.

#SPJ2

Answer:

27

Step-by-step explanation:

The bill for a person who uses 560 kWh in a month is $74. Therefore, option D is the correct answer.

The given functions are

b(x) = 0.15x;  x ≤ 360

b(x) = 0.10(x - 360) + 54;  x > 360

Functions are the fundamental part of calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x. Mapping or transformation is used to denote a function in math. These functions are usually denoted by letters such as f, g, and h.

For a person who uses 560 kWh, it means that:

x > 360

So, we use the following function to determine the bill

b(x) = 0.10(x - 360) + 54

Substitute 560 for x

b(560) = 0.10(560 - 360) + 54

⇒b(560) = 74

Hence, the bill for a person who uses 560 kWh in a month is $74. Therefore, option D is the correct answer.

Read more about the functions at:

brainly.com/question/18859540

#SPJ4

Your question is incomplete, probably the complete question/missing part is:

A power company calculates a person's monthly bill from the number of kilowatt-hours ( Nh), x, used. The function b(x)= 0.15x, and x≤360. 0.10(x-360)+54, and x>360 determines the bill. How much is the bill for a person who uses 560 kWh in a month? A. $84 B. $54. $64 D. $74.

Answer:

y = 2x - 2

Step-by-step explanation:

y = 2x + 2

4 = 2(3) + c

4 = 6 + c

c = -2

y = 2x - 2

The line is parallel so slope remains same but intercept changes.