Find the quadratic function with vertex (1,-2.9) and no intercepts.

Please help me I really just don't understand how to get the answer y+2.9 = -12(x-1)^2 as I need to mathematically prove this equation works.

The length of segment MN rounded to the nearest tenth is 6.7 units.

The distance formula used in finding the distance between two points is expressed as;

D = √( (x₂-x₁)² + (y₂-y₁)² )

Given the data in the question;

Point N(-1, 2)

Point M(-4,-4)

Plug these values into the above equation.

D = √( (x₂-x₁)² + (y₂-y₁)² )

D = √( ( (-4) - (-1))² + ( (-4) - 2)² )

D = √( ( -4 + 1 )² + ( -4 - 2)² )

D = √( ( -3 )² + ( -6 )² )

D = √( 9 + 36 )

D = √45

D = 3√5

D = 6.7 units

Therefore, the length of segment MN rounded to the nearest tenth is 6.7 units.

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Answer:

f(x) = (1 - 0.25)x = 0.75x

f(x) = 0.75x

g(x) = (1 - 0.2)x = 0.8x

g(x) = 0.8x

(f o g)(x) = f(g(x)) = 0.75(0.8x) = 0.6x

(f o g)(x) = 0.6x

(g o f)(x) = 0.8(0.75x) = 0.6x

(g o f)(x) = 0.6x

Step-by-step explanation:

It does not matter which one you apply first.

So the width should be 21 cm, to have a length of 99 cm and a perimeter of 240 cm in linear equations.

What are instances of linear equations?

240 = 2(99) + 2x

240 = 198 + 2x

42 = 2x

21 = x

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Monica falls into the 10% bracket.

The tax refers to the money that a person is expected to pay to the government as part of your responsibilities as citizen of the country. The tax that is paid by the citizens is used in the provision of basic amenities for the people of a community.

Now, there are certain legal exemptions that apply to different people in different tax brackets. In this case, Monica has an income of $14000 with a deduction of $5700. This leaves her taxable income at $8300.

From the computation above, it then follows that Monica falls into the 10% bracket.

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Answer:

$465

Step-by-step explanation:

just multiply 4650 (the taxable income) and .10 (the tax bracket she falls into) which equals 465! i hope it helped ^_^

Answer:

ab don't delete my question aga

Step-by-step explanation:

Step-by-step explanation:

Mark is 18, as his 8th birthday was 10 years ago

Aunt Jess is 36 since Jess is twice as old as Mark
Julie is 28 because 36+18=54, and 54-26=28

Gwen is 30 since she's 2 years older than Julie

The twins are 8 (1/3 of 30 is 10, then do -2)

Answers:

1. 8

2. 10

3. Mark will be 23

4.  Gwen was twice Julie's age when she was 4 (26 years ago)

(Gwen is 2 years older than Julie)

I hope this helps, Brainliest and Thanks would be very much appreciated

Answer: 1. 8 years old

2. 10 years

3. 23 years old

4. 26 years ago

Step-by-step explanation:

G=Gwen's age.

J=Julie's age.

A=Aunt Jess's age

U=Uncle Mark's age

T=twins' ages

1. G=J+2

A=U*2

J=A+U-26

T=G/3 - 2

U-10=8

U+10-10=8+10 ==> Add 10 on both sides to single out U.

U=18

A=U*2

A=18*2

A=36

J=A+U-26

J=36+18-26

J=54-26

J=28

G=J+2

G=28+2

G=30

T=G/3 - 2

T=30/3 - 2

T=10-2

T=8 ==> 8 years old

2. 8+x=18

8-8+x=18-8

x=10 years

3. U=18

18+5=23 years old

4. G=J+2

G=J*2

J*2=J+2

2J=J+2

J=2 ==> subtract J on both sides

G=2+2

G=4

30-4=26 years ago

300 Hours will be the Interquartile range for type A batteries.

In the given question, we have 11 terms in Hours, So we get N = 11, and the formula can calculate the Median for the allotted Hours  [tex]\frac{n+1}{2}[/tex]

Since the Median is 6th term i.e.  we get Middle Quartile Q2 = 1300Hours

Q1 is the Lower quartile of the graph and the Median divides the graph into 8 equal parts. And we get the value of Q1 = 1100 Hours. Whereas, The upper quartile is the upper quarter. So, Q3 = 1400 Hours.

We have the formula to calculate the Interquartile range :

  IQR = Q3 - Q1

Putting values of Q3 and Q1 into the formula, We get :

         IQR = 1400 - 1100

         IQR = 300

Hence, the Interquartile range  IQR = 300 Hours.

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Answer:

5<y< infinity

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

5 times

Explanation:

32 / 2 = 16

16 / 2 = 8

8 / 2 = 4

4 / 2 = 2

2 / 2 = 1

Every time Daniel puts is hand in, he takes half of all the jellybeans.

The first time he put his hand in, there was 32 jellybeans and 32 / 2 = 16. After that, there was 16 so taking half would mean that there would be 8. Then this goes on till it reaches 1.

According to the given statement  the surface area a of the box is S1= 2× x ×(h+4).

An object's surface area is the total area that all of its surfaces occupy. The formulas we will learn in this post make it simple to determine the various surface areas that various 3D shapes in geometry have.

Vol = W*L*H = 100

Vol = X*(X+4)*H = 100

H = 100/(X^2 + 4X)S

A = 2*(X*(X+4) + X*H + H*(X+4))

Let h = the height× x ×(h+4)=100

h=100/x^{2} +4x

The top and bottom surfaces are:

S1= 2× x ×(h+4)

The following are the front as well as back areas:

S2= 2× (x+4)× h

The area for the sides is:

S3= 2x × h

Choose a value for x to check this as one method.

x=9x+ 4=13

h=100/x^{2} +4

h=100/81+4

h=100/117

According to the given statement  the surface area a of the box is S1= 2× x ×(h+4).

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11/13% of a quantity is equal to 11/1300 fraction of the quantity.

Percentage signifies for every hundred or for each. We display it as %. Since a percentage is expressed on a scale of 1 to 100, it is easy to comprehend. Converting percentage data to fractions is known as "percent to a fraction." As per the percent to fraction conversion instructions, the percentage can be written as a fraction by deleting the percent symbol and placing 100 in the denominator. Any percent can easily be converted to a fraction, and the opposite is also true.

To convert a percentage to a fraction, follow these three simple steps. Let's examine these three processes in more detail.

Divide the given percentage by 100

[tex]\frac{11}{13}[/tex]% [tex]=\frac{11}{13} \times \frac{1}{100} \\=\frac{11}{1300}[/tex]

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a = 5 and a = 4 are the sum of both digits, of either of two two-digit numbers.

What is square number in math?

This can also be solved algebraically. Let the 2 digits be a and b, going left to right.  The number itself is then

N = 10a + b.  And it's given that a + b = 9, and a2 - ab + b2 = 21.  Substitute for b = 9 - a, combine all terms of a2 and a, and you get

3a2 - 27a + 60 = 0.  Divide by 3

a2 - 9a + 20 = 0.  Factor

(a - 5)(a - 4) = 0.  So the roots are a = 5 and a = 4.

The actual numbers N are 54 and 45.

The digits can be changed since the equations including only a and b are symmetric. (If a = 5, then b must be 4; inverse)

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Answer:

-34 is an integer and a rational number

Step-by-step explanation:

whole numbers do not include negative numbers

The population includes all individuals/subjects about whom we want to collect data.

POPULATION = All visitors to Hawaii who fly there.

A population is the entire set of individuals, if that group is a nation or a collection of individuals who share a characteristic.

Some key points related to study of population are-

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the complete question is -

The Hawaii Visitors Bureau collects data on visitors to Hawaii. The following questions were among 16 asked in a questionnaire handed out to passengers during incoming airline flights in June 2003. This trip to Hawaii is my: 1st, 2nd, 3rd, 4th, etc. The primary reason for this trip is: (10 categories including vacation, convention, honeymoon). Where I plan to stay: (11 categories including hotel, apartment, relatives, camping) Total days in Hawaii.

What is the population being studied?

Using a linear function, the table for her earnings y of producing x bracelets is given as follows:

A linear function is modeled by the following rule:

y = mx + b

In which:

For this problem, we have that:

Hence her earnings are modeled as follows:

y = 5x + 15.

The the numeric values are given as follows:

Then the table for her earnings y of producing x bracelets is given as follows:

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The expression using the fewest possible terms in (2/5*t - 7 + 2/3 * t) - (5/6 * t + 14) is  (7/30)*t + (-21) .

In the question

the given expression is (2/5 * t - 7 + 2/3 * t) - (5/6 * t + 14)

Simplifying the expression further

we get ,

[tex]= \frac{2}{5} t-7+\frac{2}{3} t-\frac{5}{6} t-14[/tex]

writing the like terms together

= t * (2/5+2/3-5/6)-7-14

taking LCM of 5,3,6 as 30 and simplifying further we get ,

= t * (12/30 + 20/30 -25/30) - 21

= t * (7/30) - 21

which can also be written as (7/30)*t + (-21) .

Therefore , the expression using the fewest possible terms in (2/5*t - 7 + 2/3 * t) - (5/6 * t + 14) is  (7/30)*t + (-21) .

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1.5·10⁸ kilometers

As a result, the Earth Sun distance is 150 million kilometers. To use scientific notation, pick a value between 1 and 10, then multiply it by 10ˣ.

So the number between 1 and 10 in 150,000,000 is 1.5, with 8 decimal points.

As a result, the solution is 1.5·10⁸

The benefits of Earth's prime placement in the solar system are numerous. We are just far enough away from the Sun for life to thrive.

Venus is excessively hot. Mars is quite chilly. Scientists refer to our region of space as the "Goldilocks Zone" because it looks to be ideal for life.

As previously stated, Earth's average distance from the Sun is around 93 million miles (150 million kilometers). That's one AU.

On this hypothetical scale, these so-called "linebackers" resemble minuscule specks rather than the massive linebackers of the NFL.

If all of the known asteroids in our solar system were combined, their total mass would be less than 10% that of Earth's moon.

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Answer:

Hope this helps :)

13/8 x 11 = 143/7 = 17 7/8 (simplified and converted into mixed number)

3/5 x 5/7 = 15/35 = 3/7 (simplified)

2/5 x 5/6 = 10/30 = 1/3 (simplified)

The correct option is D. More than one of them test negative.

More than one of them tests negative in the written explanation of the given event.

We have a conditional statement that states that if it rains, we will not play. Let's say A: it's raining and B: we're not going to play. If A is true (it is raining) and B is false (we played), therefore the statement A implies B is false.

Now, as per the question;

Option D correctly paraphrases the sentences by stating that there was at least one, though there could be more, but this does not guarantee that all.

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The complete question is -

Determine the written description of the complement of the given event. When seven job applicants are tested for a certain ability​, at least one of them tests positive. Choose the correct answer below.

A. All of them test positive

B. None of them test negative

C. All of them test negative

D. More than one of them test negative

Answer:

9 pounds per inch

Step-by-step explanation:

There are approximately 2.2 pounds in a kilogram. So, 4.1 kilograms is approximately 9 pounds. Therefore, the ratio is 9 pounds per inch. The step by step for this is, 4.1 kg/m * 2.2 lb/kg = 9 lb/m * 1 in/m = 9 lb/in

Emily claims that a tree height of 43 inches is an outlier for the distribution.

What is the 1.5 IQR rule for outliers?

Add 1.5 to the interquartile range (IQR) (a constant used to discern outliers). The third quartile is increased by 1.5 times (IQR). Any figure above this is thought to be an outlier.

The starting and the end of the box in box plot are first and third quartile respectively.

From the given box plot it is clear that, Q₁ = 34  and Q₃ = 38

IQR = Q₃ -  Q₁

IQR = 38 - 34

IQR = 4

According to 1.5x IQR rule for outliers, all the data values lies outside the interval [ Q₁  - 1.5 × IQR , Q₃ + 1.5 × IQR ] are outliers..

Q₃ + 1.5 × IQR = 38 + 1.5(4)

Q₃ + 1.5 × IQR = 38 + 6

Q₃ + 1.5 × IQR = 44

We know that, 43<44.

Since, 43 is not greater than Q₃ + 1.5 × IQR  therefore, 43 is not an outlier and there is no evidence to support the claim.

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According to the given statement  an inequality to determine the minimum number of hours she needs to practice on each of the 2 days two and one third + 2x ≥ 4.

The correct option is A.

The lowered life expectancy, higher infant mortality, lesser social mobility, , and mental illness are all factors that contribute to lower life expectancy.

Income disparity. Income inequality is defined as the degree to which money is distributed unevenly among a group of people.

Pay Disparity. The pay of an individual changes from their income. Pay simply refers to the money earned through employment.

Inequality of wealth.

Given,

How many hours she has already practiced= , 2/3

She also wants to train for another two days, putting up equal hours each day.

Let x be the number of hours she practised each day.

As a result, the total number of hours kate practiced in two days was = 2x

As a result, the total amount of time she practiced = 2/3 + 2x

If she wishes to practice for at least four hours,

2/3 + 2x  ≥ 4

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I understand that the question you are looking for is:

Nicole needs to spend at least four hours each week practicing the guitar. She has already practiced two and one third hours this week. She wants to split the remaining practice time evenly between the last two days of the week. Write an inequality to determine the minimum number of hours she needs to practice on each of the two days.

A. two and one third + 2x ≥ 4

B. two and one third + 2x ≤ 4

C. two and one third x + 2 ≤ 4

D. two and one third x + 2 ≥ 4

Answer:

y=-4x-1

Step-by-step explanation:

x-4y=24

-x      -x

-4y=-x+24

Divide -4

y=-1/-4x-6

Simplify the slope.

y=1/4x-6

Perpendicular slope

m = 1/4

m = -4

The point is (-2,7)

-2 is the x intercept

7 is the y intercept

Slope Point Form is y-y1=m(x-x1)

Plug it in

y-7=-4(x+2)

Solve and put it into slope intercept form

y-7=-4x-8

 +7      +7

y=-4x-1

There's your answer.

Hope that helps.

Answer:

3/6 = 1/2

Step-by-step explanation:

There are only 3 even numbers on a 6-sided dice:;2, 4, and 6, so this would mean we have a 3 out of 6 chance of getting an even number. Simplify that, and you get one-half.

Answer:

1/6

Step-by-step explanation:

1 cube and 6 rolls

The points X(6,7), Y(2,3), Z(4,1) can be plotted as given below. From the obtained graph ∠XYZ is the right angle.

The given coordinates are X(6,7), Y(2,3) and Z(4,1).

We need to classify ∠XYZ whether it is right, acute, or obtuse.

A cartesian plane or coordinate plane can be defined as a plane formed by the intersection of two coordinate axes that are perpendicular to each other. The horizontal axis is called the x-axis and the vertical one is the y-axis. These axes intersect with each other at the origin whose location is given as (0, 0). Any point on the cartesian plane is represented in the form of (x, y). Here, x is the distance of the point from the y-axis and y is the distance from the x-axis.

Now, X(6,7), Y(2,3), Z(4,1) can be plotted as given below:

All points X(6,7), Y(2,3), Z(4,1) have the positive x and y coordinates.

So, all the points X(6,7), Y(2,3) and Z(4,1) lie in the first quadrant.

From the graph, we can see at the two lines are perpendicular to each other.

So, the angle between two lines is the right angle which is 90°.

From the obtained graph ∠XYZ is the right angle.

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