Write a quadratic equation that goes through
the points (1,-3), (2,-5), and (-1,-11).

The statements that are true according to the equation  h (x) = –3 |x – 1| + 4. are

The graph of the described function is attached

The vertex is marked (1, 4) in the graph

The y intercept is marked (0, 1) in the graph

Also from the equation, the y intercept is solved by

h (x) = –3 |x – 1| + 4

plugging the value of x

h (x) = –3 |0 – 1| + 4

h (x) = –3 |– 1| + 4

removing the modulus sign

h (x) = –3 * 1 + 4

h (x) = –3 + 4

h (x) = 1

Learn more about absolute value graph at:

https://brainly.com/question/3381225

#SPJ1

The value of the residual is 2.

We are given a fitted linear regression equation. The equation is given below.

ŷ = 6 - 2x

The x-value for the data points is 3, and the corresponding y-value is 2. We have to find the value of the residual.

We will substitute the given values in the equation of the regression line.

ŷ = 6 - 2x

ŷ = 6 - 2(3)

ŷ = 6 - 6

ŷ = 0

Thus, the predicted value of y in the given regression equation is 0. The actual value of y is 2. The residual is the difference between the actual and predicted values of y. Let the residual be denoted by the variable "r".

r = y - ŷ

r = 2 - 0

r = 2

Hence, the residual is 2.

To learn more about residual, visit :

https://brainly.com/question/27864993

#SPJ1

30% of 80% is 24% and the resulted percent will be 104% when 80% is increased by 30%.

A fraction is a portion of a whole or, more broadly, any number of equal pieces. In ordinary English, a fraction represents the number of pieces of a specific size, such as one-half, eight-fifths, or three-quarters. A fraction is a portion of a larger total. The number is stated in arithmetic as a quotient, which is the numerator divided by the denominator. Both are integers in a simple fraction. A complicated fraction contains a fraction in either the numerator or the denominator.

Here,

30% of 80%

=30*100(80*100)*100

=30*80/100

=24%

When 80% is increased by 30%, the resultant percent is 104% because 30% of 80% is equal to 24%.

To know more about fraction,

https://brainly.com/question/8969674

#SPJ1

Answer:

3

Step-by-step explanation:

3Tap on a clip to paste it in the text box.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Use the edit icon to pin, add or delete clips.

The amount that each student will have to raise on average in order to meet the goal would be $40

First, find the remaining amount that the members of the Westview Journalism Club are trying to raise:
= Amount to raise - Amount already raised

= 2, 100 - 1, 180

= $920

The amount that each student in the club will have to raise on average can be found as:

= Amount remaining to be raised / Number of students in the Westview Journalism Club

= 920 / 23

= $40

Find out more on amount raised at https://brainly.com/question/21245875

#SPJ1

If avocados costs $2.99per pound, Nina will be paying $1.495

The information given in the problem shows that

avocado's have their price in pounds hence we convert the quantity given to pounds

1 pound = 16 ounces

? = 8 ounces

cross multiplying

8 * 1 = ? * 16

? = 8 / 16

? = 1/2

hence 8 ounces is 0.5 pounds

Then the cost of 0.5 pounds of avocados will be solved for

1 pounds  = $2.99

0.5 pounds = ?

cross multiplying

? = 0.5 * 2.99

? = $1.495

Learn more about weight conversions here:

https://brainly.com/question/29400946

#SPJ1

The value of (18−42+2)21÷4⋅12 equal to -1386

Algebra is a branch of mathematics that assists in the representation of problems or situations through the use of mathematical expressions. In algebra, we use numbers with definite or fixed values such as 2, -1, 0.33, and so on. In algebra, an algebraic expression is composed of integer constants, variables, and the basic arithmetic operations of addition(+), subtraction(-), multiplication(), and division(/). 5x + 6 is an example of an algebraic expression. 5 and 6 are fixed numbers, while x is a variable.

Given that

(18−42+2)21÷4⋅12

Now we have to simplify the equation

(20-42)21/ 4 x 12

(-22)21/ 4 x 12

= (-462/4) x 12

= - 115.5 x 12

= - 1386

Therefore the value of  (18−42+2)21÷4⋅12 equals to -1386

To learn more about algebra visit

https://brainly.com/question/21443100

#SPJ1

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

The number of students who brought lunch on Thursday is 18 students.

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

Number of students = 900

Number of students that brought lunch = 2% of 900

The number of students who brought lunch on Thursday.

= 2% of 900

= 2/100 x 900

2 x 9

= 18 students.

Thus,

The number of students who brought lunch on Thursday is 18 students.

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ1

Answer:

√43

Step-by-step explanation:

Implement the Pythagorean formula to solve for sides of a right triangle: a^2 + b^2 = c^2, where "a" and "b" are the legs and "c" is the hypotenuse.

a = √6 and c = 49

√6^2 + b^2 = 49

6 + b^2 = 49

b^2 = 43

b = √43

Answer:

The square root of 43

Step-by-step explanation:

 I did this in class the other day

Tommy will pat bounce the ball 225 times in 405 seconds which was found using the given data.

Given: In 45 seconds, Tommy bounces a basketball 25 times.

Number of times he will pat bounce the ball in 405 seconds will be given as follows:

= (405 × 25)/45

=225

Therefore, Tommy will pat bounce the ball 225 times in 405 seconds which was found using the given data.

Learn more about unitary method here:

https://brainly.in/question/861603

#SPJ1

The area of the rectangle is 11/96 in²

In this question, we have the following parameters

Dimensions of rectangular area: 11/12 in x 1/8 in.

The area of a rectangle is the products of its dimensions

i.e. Area = products of dimensions

This implies that

Area = Length x Width

Substitute the known values in the above equation, so, we have the following representation

Area = 11/12 in x 1/8 in

Evaluate

Area = 11/96 in²

Hence, the rectangle area is 11/96 in²

Read more about areas at

https://brainly.com/question/25292087

#SPJ1

Answer:

26, 28, 30

Step-by-step explanation:

there is a difference of 2 between consecutive even integers

let the integers be n , n + 2 , n + 4 , then

n + n+ 2 = n + 4 + 24

2n + 2 = n + 28 ( subtract n from both sides )

n + 2 = 28 ( subtract 2 from both sides )

n = 26

n + 2 = 26 + 2 = 28

n + 4 = 26 + 4 = 30

the 3 consecutive even integers are 26 , 28 , 30

The estimates for the number of transistors per IC, using an exponential function, are given as follows:

An exponential function has the general format presented as follows:

[tex]y = ab^\frac{x}{n}[/tex]

In which the parameters of the function are listed as follows:

By Moore's Law, the number of transistors per IC doubles every two years, hence the values of parameters b and n are both two, that is:

b = 2, n = 2.

We take 1972 as the reference year, when the amount was of 4000 transistors per IC, hence the value of parameter a is given as follows:

a = 4000.

Thus the equation is:

[tex]A(t) = 4000(2)^{\frac{t}{2}}[/tex]

Giving the number of transistors per IC in t years after the reference year of 1972.

2016 was 44 years after 1972, hence the estimate for the amount of transistors by IC was of:

[tex]A(44) = 4000(2)^{\frac{44}{2}} = 16,777,216,000[/tex]

2040 will be 68 years after 1972, hence the estimate for the amount of transistors by IC is of:

[tex]A(68) = 4000(2)^{\frac{68}{2}} = 6.87 \times 10^{13}[/tex]

A similar problem, also featuring exponential functions, is given at brainly.com/question/25537936

#SPJ1

The ordered pairs that are solutions of the inequality are of the form:

(x, y > -3.5*x - 13)

Here we have the inequality:

7x + 2y > -26

The solutions of this are the pairs (x, y) that, when replaced on the inequality, make it true.

If we isolate y on the inequality we get:

7x + 2y > -26

2y > - 26 - 7x

y > (-26 - 7x)/2

y > -3.5*x - 13

Then the ordered pairs are of the form:

(x, y > -3.5*x - 13)

For example, suppose that we fix the value of x in 0, then:

y > -3.5*0 - 13

y > -13

So the points of the form (0, y > -13) are solutions.

Learn more about inequalities:

https://brainly.com/question/24372553

#SPJ1

Step-by-step explanation:

8,9,10 would not create a Triangle

Answer:

-$4.92

Step-by-step explanation:

-$2.56 - $2.36 is the same as 2.56 + 2.36 2+2=4 and 56+36=92 put them together and add a negative sign and you have your answer

The Least Common Denominator (LCD) of 9/8 and 11/12 is 24.

The two given fractions are -

9/8 and 11/12

We have to find out the Least Common Denominator (LCD) of 9/8 and 11/12.

Firstly, we have to check if we can simplify the two given fractions. In this case, we have 9/8 and 11/12 which cannot be simplified further.

Now, we have to multiply the denominators with natural numbers until they there is a first common number in the denominators of the two given fractions.

Multiplying 8 with 2 gives 16. However, there 16 is not a multiple of 12,

Multiplying 8 with 3 gives 24. 12 when multiplied with 2 also gives 24.

So, the Least Common Denominator (LCD) of 9/8 and 11/12 is 24.

To learn more about LCD visit

https://brainly.com/question/21345138

#SPJ1

The equation y=2(1/5)ˣ is satisfy the graph with points (-1,10) and (0,2).

Given that,

In the picture we have a graph with two points (-1,10) and (0,2).

We have to find the equation of the graph from the given equation.

Basic Functions Graphing. if possible, identifying the shape. A line would be the graph of a linear function of the type f(x) = ax + b, for instance; a parabola would be the graph of a quadratic function.

We check by substituting the points in the equation of the option a,b,c and d.

The option c.

y=2(1/5)ˣ

The point (-1,10)

10=2(1/5)⁻¹

10=2(5)

10=10

The point (0,2)

2=2(1/5)⁰

2=2(1)

2=2

Therefore, The equation y=2(1/5)ˣ is satisfy the graph with points (-1,10) and (0,2).

To learn more about graph visit: https://brainly.com/question/17267403

#SPJ1

Answer:

$35.85

Multiply 2.39 * 15

Answer:

450 ducks

Step-by-step explanation:

75% can be rewritten as 75/100

75/100 of 600 can be rewritten as 75/100 * 600

Solve 75/100 = 0.75

0.75 * 600 = 450

Answer: The answer is 11x+4y+13

Answer:

Serán necesarios:

4000 tubos

Step-by-step explanation:

1 km = 1000 metros

18 km = 18*1000 = 18000 metros

Entonces:

18000/4.5 = 4000

By  calculating profit function to break even, the company needs to produce 23 units.

The amount received when a good or service is sold for a price is referred to as revenue. The cost of a product or service is the amount spent on its sale. Profit is defined as the difference between revenue and costs. A profit function is a relationship that shows the difference between the cost and revenue functions. The graph of a profit function can show the best combination of revenue and costs to produce the most profit. This is known as optimization.

Profit is defined as revenue less costs. This means that there is a profit function, P(x).

P(x) = R(x) - C(x)

Breaking even is the point at which revenue begins to exceed costs. It is thus the point at which P(x) = 0. Because these are all linear functions, you know that the business will be profitable after that point.

P(x) = 0

R(x) - C(x) = 0

R(x) = 24x

C(x) = 17x + 161

From the above equation,

R(x)=C(x)

24x=17x+161

7x=161

x=161/7

x=23

For the company to break even, 23 units must be produced.

To know more about profit function, visit:

https://brainly.com/question/16866047

#SPJ1