Identify the vertex the axis of symmetry the maximum or minimum value and the range of each parabola

Answers

Answer 1
hello : 
of each parabola
f(x) = a(x- h)²+k
the vertex is the point : A( h , k)
 the axis of symmetry  is the line :  x = h
the maximum or minimum value  is : f(h) = k
the range i s : R

Related Questions

if x is a prime number, then x+1 is not a prime number. A counterexample is x=

Answers

3 is what I think the answer would be. 3 + 1 is 4, 4 is not a prime number, 3 is prime.

Answer:  The required example is x = 5.

Step-by-step explanation:  Given that if x is a prime nu mber, then x+1 is not a prime number.

We are to give a counterexample for this.

Let us consider that

[tex]x=5.[/tex]

Then, we know that x is a prime number.

But, we get

[tex]x+1=5+1=6,[/tex] which is not a prime number.

Thus, the required example is x = 5.

In the Founder's Day Parade in Happy, USA, many organizations participate by building floats. The Float Committee has issued a decree that each float can only have 300,000 flowers on it this year. The Happy Campers have already attached 15,625 flowers to their float. If the flowers come in containers which hold 125 flowers, which equation represents how many more containers they can use on their float?

A. 125x + 15,625 = 300,000

B. 125x = 300,000 + 15,625

C. 0x = 300,000 + 125

D. 0x + 125 = 300,000

Answers

Hello! “x” equals the number of containers. Each container contains 125 flowers. Therefore, C and D are not the right answers. Adding 15,625 to 300,000 would carry you out of your limit. The one equation that works here is A, because you are solving this equation by doing 125x + 15,625 = 300,000. The answer is A.

By what transformation can the set representing the inverse of a function be found? 1) reflection in the origin 2) reflection in the line y = x 3) rotation of 90o about the origin

Answers

Answer:

  2) reflection in the line y = x

Step-by-step explanation:

A function is transformed to its inverse by swapping the independent and dependent variables. Reflection in the line y = x does that.

solve this equation 3\5(x-10)=18-4x-1
Simplify using distributive property. Which number can be distributed across two terms inside parentheses?

Answer choices:
-10
3\5
x

Answers

3/5 because I did it on the internet

3/5 is the number which  can be distributed across two terms inside parentheses

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is 3/5 (x-10) = 18-4x-1

According to the distributive property, multiplying the sum of two or more addends by a number produces the same result as when each addend is multiplied individually by the number and the products are added together.

To solve the above equation we have to distribute 3/5 on LHS

3/5x-30/5 = 18-4x-1

3/5x-6 = 17-4x

Hence, 3/5 is the number which  can be distributed across two terms inside parentheses

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ7

What is the rate of change of the volume of a ball with respect to the radius when the radius is?

Answers

V=4/3*pi*r^3
dV/dr=4/3*pi*d(r^3)/dr =4/3*pi*(3*r^2)=4*pi*r^2

What is 30 1/4% as a fraction in simplest form

Answers

The simplest form is 3/40

What is fraction?

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator.

Given:

30 * 1/4%

= 30* 1/400

= 30/400

=3/40

=0.075

Learn more about fraction here"

https://brainly.com/question/10354322

#SPJ2

Please help ;u;


which expression shows how 5 . 37 can be rewritten using the distributive property?

1) 5 . 30 + 5 . 37
2) 15 . 30 + 5 . 37
3) 5 . 30 + 5 . 7
4) 5 . 30 + 7

Answers

The correct answer is 4. hope this helps ((:

Answer:

5x30 + 5x7

Step-by-step explanation:

hope this helps :)

X and y are supplementary angles y measures 97

Answers

its easy supplementary angles equal to be 180 so you take 180-97 and it equals 83 so x =83 and y=97

How do you tell the difference between a obtuse angle, a right angle and a acute angle?

Answers

Obtuse angle= (>90 degrees) Opened wider than a perfect 'L' angle
Right angle= Perfect 'L' angle (90 degrees)
Acute angle= (<90 degrees) Smaller than a perfect 'L' angle

God bless!

what is the name of the line that the function approaches?

a. y-axis
b. there is no such line
c. the unknown line
d. asymptote

Answers

d. asymptote

In the attached graph, the function has two asymptotes, one horizontal (the x-axis) and one vertical (the line x = 2).


Factor completely p^2 - 8p + 7

Answers

The factors should add to the b value and multiply to the c value.

p^2-8p+7
(p-7)(p-1)

Check:
-7-1=-8
-7*-1=7
Factor p2−8p+7p2−8p+7=(p−1)(p−7)
Answer:(p−1)(p−7)

For what value of the constant c is the function f continuous on (-infinity, infinity) for the equation f(x) = cx^2 + 2x if x < 2 and x^3 - cx if x> or = 2

Answers

Replace  x  by 2 in th 2 functions and soslve for c:_

4c + 4 = 8 - 2c

6c = 4

c = 2/3

Answer is c = 2/3
Final answer:

To find the constant c that makes the given piecewise function continuous for all real numbers, the two parts of the piecewise function need to be equal at x = 2. By setting these two equal and solving for c, you will find the value that makes the function continuous.

Explanation:

The question presents a piecewise function and asks for which value of the variable c does it become continuous for all real numbers. To make a function continuous at a certain point, both parts of the function must be equal at that point. In this case, the two parts meet at x = 2. We need to set the two parts equal to each other at x = 2 and then solve for c.

For the first part of the piecewise function,

[tex]f(x) = cx^2 + 2x[/tex]

, when we substitute x = 2, it becomes f(2) = 4c + 4.

For the second part of the piecewise function,

[tex]f(x) = x^3 - cx[/tex]

, substituting x = 2 again gives us f(2) = 8 - 2c.

In order for the function to be continuous, these two results must be equal. We set 4c + 4 = 8 - 2c and solve it for c. Solving this equation will provide the value of c for which the function is continuous for all x .

Learn more about Continuous Function here:

https://brainly.com/question/30501770

#SPJ2

How to get "4" of 4s to equal 4 using any order of operation

Answers

(4 - 4)*4 + 4 = 4
       
You can think of this problem in multiple ways. First of all, you can use three 4s to equal zero; then, you add four and the final product will be 4. Any number times zero is always zero. So we subtract 4 from 4 to equal zero. Finally, we add four.

The altitude of an equilateral triangle is 9 inches. Find the perimeter of the triangle in inches.

Answers

If we  draw a perpendicular line from one of the vertices of the triangle we get  2 right angled triangles  each with  altitude 9 ins  and vertex angle = 30 degrees.   So:-

cos 30 = 9 /h     where h = one of the sides of the equilateral triangle

h =  9 / cos 30  =  10.392 inches

Therefore the perimeter of the triangle = 3 * 10.392 =  31.1769 ins

Answer is 31.18 inches to the nearest hundredth.

The perimeter of the triangle will be 31.18 inches.

what is perimeter?

The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape.

If we  draw a perpendicular line from one of the vertices of the triangle we get  2 right angled triangles  each with  altitude 9 ins  and vertex angle = 30 degrees.   So:-

[tex]Cos 30 =\dfrac{ 9} {h}[/tex]    

where h = one of the sides of the equilateral triangle

[tex]h = \dfrac{9 }{ cos 30} = 10.392 \ inches[/tex]

Therefore the perimeter of the triangle =

[tex]3 \times 10.392 = 31.1769 \ inches[/tex]

Answer is 31.18 inches to the nearest hundredth.

To know more about perimeter follow'

https://brainly.com/question/397857

#SPJ2

What is the simplified form of the following expression?
4/7^3

A: 343/64
B: 21,952
C:407
D: 64/343

Answers

(4/7)³= 4³/7³

Evaluate the exponents
4³= 64
7³= 343

Final answer: 64/343

Answer:

The correct option is D.

Step-by-step explanation:

The given expression is

[tex](\frac{4}{7})^3[/tex]

According to the property of exponent.

[tex](\frac{a}{b})^n=\frac{a^n}{b^n}[/tex]

Using this property the given expression can be written as

[tex](\frac{4}{7})^3=\frac{4^3}{7^3}[/tex]

[tex](\frac{4}{7})^3=\frac{64}{343}[/tex]

The simplified form of the given expression is [tex]\frac{64}{343}[/tex].

Therefore the correct option is D.

What is the measure of angle S?

Answers

132 + 56 + 79 = 267

360 - 267 = 93

answer is 93 degrees

Dori and Malory are tracking their steps taken as a health goal. Dori leaves her house at 12:00 p.m. and walks at 50 steps per minute. Malory leaves her house at 12:20 p.m. and walks at 90 steps per minute. At what time will Malory's steps catch up to Dori's steps?

Answers

At 12:20, Dori has completed 1000 steps. Malory catches up to Dori at a rate of 40 steps each minute. The number of minutes required for Malory to catch up is: 1000 steps / (40 steps/minutes) which is 25 minutes Malory's steps will catch up to Dori's steps at 12:45 pm

What is the reason for each step in the solution of the equation? 2x−1=4(x+1)2x−1=4(x+1)
Drag and drop the reasons into the boxes to correctly complete the table.
2x−1=4(x+1)2x−1=4(x+1)-
2x−1=4x+42x−1=4x+4-
2x=4x+52x=4x+5-
−2x=5−2x=5-
x=−52-

Given
Distributive property
Commutative property
Addition or suptraction property of equality

Answers

The steps in the trying to obtain the value of x in the given item are rewritten below with their corresponding algebraic law or property.

2x - 1 = 4 (x + 1)        ; GIVEN
2x - 1 = 4x + 4            ; Distributive property (as we can see, 4 is multiplied to each of the terms found inside the parentheses)
2x = 4x + 5                 : Addition property of equality (both sides of the equation are added with 1)
-2x = 5                         : Subtraction property of equality (both sides of the equation are subtracted with 4x)
 x = -5/2                        : Division Property of equality (both sides are divided by -2)

The cube will be enlarged by a scale factor of 8.
What will be the volume of the new cube?
8 cubic units
64 cubic units
192 cubic units
4,096 cubic units

Answers

The answer would be D, 4,096 because you would multiply each side by 8 and the gives you 16. Volume=length times width times height, so 16 cubed=4,096

which points lies on the line described by the equation? y+4=(x-3)

Answers

hello : 
the equation  y+4=(x-3)  for the line passes by the point : (3 , - 4 )
when the slope is : 1 

lincoln high school has 98 teachers. of them 48 teachers, 9 of them teach math. one-fifth of them teachers teach math

Answers

There are 8 1/5 teachers that teach math
8 1/5 is the answer to the question

How to factor: 15x^2y^3 + 10xy^2z

Answers

Since 5 is a factor of 10 and 15 (by guess and check with factors of 10 and seeing if they're factors of 15), we get 5(3x^2y^3+2xy^2z). Next, y^2 is in both - remember that when multiplying exponents, you add them up, so we end up with 5y^2(x^2y+2xz). Lastly, x (aka x^1) is in both, so we factor that out to end up with 5y^2x(xy+2z)

4v=64 how do I solve this and what’s the answer

Answers

Hello There!

Just divide both sides by 4:
4v/4 = 64/4
Simplify:
v = 16
The answer is 16.

Hope This Helps You!
Good Luck :)

A circle with a radius of inches has a central angle of 0.25 radians that intercepts an arc of inches.

Answers

arc length  = c* r    where  c = angle in radians and r = radius

                = 0.25 * 4

                = 1 inch

Answer:

Step-by-step explanation:

Given that there is a circle of .... inches with central angle 0.25 inches

by formula we have arc = radius *central angle in radians

The radii are given three options as 10,20,4 and corresponding arcs as

25,5, 16 inches.

By matching we find that 10(0.25) not equals 25

But 20(0.25) = 5 inches

Also 4(0.25) not equals 16 inches

Hence correct answer is radius = 20 and central arc = 5 inches

The sum of two complex numbers, where the real numbers do not equal zero, results in a sum of 22i. Which statement must be true about the complex numbers?

Answers

Answer: The complex numbers have opposite real numbers.

This a prove of that conclusion:

Let A + Xi be one complex number and B + Yi the other complex number, then:

A + Xi + B + Yi = 0 + 22i

=>  A + B = 0 => A = -B, which means that the real part of one of the complex number is the opposite of the real part of other complex number. The imaginary part is not relevan for the question.

Answer: the answer is D

Step-by-step explanation:

Need help asap please!

Answers

The maximum of f(x) is y = 3. This is the y coordinate of the vertex (6,3). 

Note how y = -4(x-6)^2 + 3 is in the form y = a(x-h)^2 + k, which is vertex form. So we can see that the vertex is (h,k) = (6,3), since h = 6 and k = 3.

Note: This graph is an upside down parabola with (6,3) as the highest point.

---------------------------------------

In contrast, the max of g(x) is y = 6. This is the y coordinate of the highest point on the curve. One such point is (pi/2, 6). There are infinitely max points because the up and down pattern goes on forever.

So g(x) has the larger max compared to f(x).

One fourth of a number q is 3 more than three times a number w. Solve for q.

Answers

1/4q = 3w + 3...multiply both sides by 4
q = 4(3w + 3)
q = 12w + 12 <===
Final answer:

To solve for q, multiply both sides of the equation 1/4q = 3 + 3w by 4. This eliminates the fraction and gives us q = 12 + 12w.

Explanation:

To solve for q, we need to translate the given information into an equation. The problem states that one fourth of q is 3 more than three times a number w. Written as an equation, this is represented as:



1/4 q = 3 + 3w



To solve for q, we can multiply both sides of the equation by 4 to eliminate the fraction:



q = 12 + 12w



This gives us the solution for q in terms of w.

Learn more about Solving Equations here:

https://brainly.com/question/17595716

#SPJ2

2/11 x 5/7 = ? PLEASE ALSO EXPLAIN THAAAANKS

Answers

Hi,

2/11 * 5/7

When we do a multiplications of two fractions, we should keep in mind that we are multiplying the numerators (2 and 5) and the denominators (11 and 7).

Firstly, we check if there are numbers to simplify by cross-multipling.

In this case, we don't have to simplify.

So 2*5 = 10
11*7 = 77

Final answer 10/77

at 3:00a.m,the temperature is -5°F. Between 3:00a.m. and 6:00 a.m.,the temperature drops by 12°F. Between 6:00a.m. and 9:00a.m., the temperature rises by 4°F. What is the temperature at 9:00a.m.?

Answers

I believe the answer is -14.

Hope this helps!
The temperature at 9:00 AM is -13°F.

Write a compound inequality that represents the situation. On a road in the city of Rochester, the maximum speed is 50 miles per hour, and the minimum speed is 20 miles per hour.
A. 20 ≥ x ≥ 50
B. 20 > x > 50
C. 20 < x < 50
D. 20 ≤ x ≤ 50

Answers

The answer is D because you can drive 20 mph or 50 mph or anywhere in between.  This sign means less than or equal to. Hope this helps!  
Other Questions
Marxists and radicals view ________ as the main means of power in the world. The larger oxygen atom, with more protons, is more ____________ than the hydrogen atom and attracts the electron pair closer. Prior to the beginning of World War I, Austria-Hungary and Serbia had a festering disagreement over Which of these would you be MOST likely to encounter if you were on a boat? Read the introductory paragraph. The elegant luxury liner Titanic was the Queen of the Seas in its time. Designed with state-of-the-art technology, it was thought to be practically unsinkable. What could have caused the massive steamship to founder off the freezing coast of Newfoundland on its first Atlantic voyage in 1912? Research indicates that there were two main causes for the Titanic disaster: human error and design defects. Which sentence in this paragraph is the thesis statement that the writer will attempt to prove in the essay? A. Research indicates that there were two main causes for the Titanic disaster: human error and design defects." B. What could have caused the massive steamship to founder off the freezing coast of Newfoundland on its first Atlantic voyage in 1912?" C. The elegant luxury liner Titanic was the 'Queen of the Seas' in its time." D. Designed with state-of-the-art technology, it was thought to be practically unsinkable." State College charges its departments for computer time usage on the campus mainframe. A student had access to the university computer system because a class she was taking required extensive computer usage. The student enjoyed playing games on the computer and frequently had to request extra computer funds from her professor in order to complete her assignments.The students use of the computer to play games was: (ethical or unethical because....) A pair of jeans is on sale for 25% off the original price. Which expression represents the sale price? If the original price is $40, evaluate the expression to find the sale price. A: s=p-0.25p;$30 B: s=p-25;$15 C: s=p-0.25p;$10 D: s=p-0.25;$39.75 A 1200-kg car starts from rest and accelerates with constant acceleration, traveling 200 m in 9.00 s. what is the force of the road on the car during this acceleration? Suppose you have a distribution, x, with mean = 13 and standard deviation = 3. define a new random variable y = 4x - 5. find the mean and standard deviation of y. I will give you the brainliesnt answer + 40 points if you do me this!Rewrite this for citizens to understand. Preamble to the U.S. Constitution"We the People of the United States, in Order to form a more perfect Union, establish Justice, insure domestic Tranquility, provide for the common defense, promote the general Welfare, and secure the Blessings of Liberty to ourselves and our Posterity, do ordain and establish this Constitution for the United States of America."states make their own laws as well as the goverments make laws Thank you... :) 74 (25 + d) + d = 44 please show your work. Solve for d The swiss psychiatrist who experimented with inkblots to diagnose psychological problems was Evidence that Earths core has a high iron content comes from the study of _____. Describe in details any four cooking practices common in your region for( pulses/ Rice/Wheat/Maize etc.) Predict the nutrients which are likely to be lost to a substantialdegree in each. Round 43.786 to the nearest hundredth The open spaces in water's crystal structure make it possible for Qu es parte de la historia y cultura de Espaa?You can select multiple answers, select all that apply.los castillos los acueductos los mariachis el encierro los indgenas tanos el arte del Greco la arquitectura de Gaud la monarqua espaola An athlete eats 0.35kg of protein per week while training. How much protein will she eat during 7 weeks of training? Which types of cells (animal, plant or bacteria) are most similar? The Harding administration was associated with scandals including which of the following? A. Corruption was found in Veterans and Prohibition bureausB. A high official was accused of mishandling assets taken from Germany after the war. C. A high official was convicted of taking money for leasing government lands. D. All of the above Steam Workshop Downloader