[tex]f(x) = - 2(x - 4) ^2 + 6[/tex]
what is the vertex of this function ?​

Answers

Answer 1

Answer:

x = 4

Step-by-step explanation:

x = 4 is the vertex of the function.

This is a negative quadratic equation and the vertex is the zero of the function. We set (x - 4) equal to 0 and solve.

x - 4 = 0

x = 4


Related Questions

Find the derivation of y=sin (2x2 + 3x-4)<br />a. -cos (4x +3) b. -(6x2+3) cos (2x3+3x-4) c. Cos (2x3+3x-4)<br />d. (6x3+3) cos (2x3+3)<br />​

Answers

Let y = f(x)

f(x) = sin x

g(x) = (2x^2 + 3x - 4)

Use the chain rule.

We want y' = f' (g(x)) • g'(x).

y' = cos(2x^2 + 3x - 4) • (4x + 3)

Done.

help meeeeeeeeeeeeee​

Answers

Answer:

18

Step-by-step explanation:

basic math .... hopefully it helped

Answer:

18

Step-by-step explanation:

If f(x)=2x and g(x)=x−3, then find f(x)·g(x).
Question 19 options:

2x2−6x

2x2−6

2x2−3

3x−3

Answers

Answer:

2x^2 - 6x

Step-by-step explanation:

2x(x-3)

= 2x^2 - 6x

WHATS THE ANSWER PLEASE HELP QUICK

Answers

Answer:

y = -2

Step-by-step explanation:

When you see a horizontal line like this, it will always be " Y = something".

When you see a vertical line, it will always be "X = something".

You can see what that number will be by looking at where it crosses the X or Y axis!

Y=-2
The slope is zero so there is no x and the line intersects the y axis at -2 :)

ab and bc length and midpoint

Answers

Is there a picture of the figure?

Determine weather the following graph represents a function

Answers

Answer:

it doesn't because there are places where there are two y values which just doesn't work out.


Find the 6th term of the geometric sequence whose common ratio is
3/2
and whose first term is 2.

Answers

Answer:

-3072

Step-by-step explanation:

please help me please​

Answers

Answer: x=9

Step-by-step explanation: -9x+1=-80

subtract 1 on both sides

-9x=-81

divide both sides with negative 9

x=9

Check: -9(9)+1=-80

-81+1=-80

-80=-80

Answer:

the answer is X=9

Step-by-step explanation:

hope it helps:)

If Frank builds a concrete rectangular walkway that is 4 feet wide by 1.5 feet deep, by 20 feet long from the house to the storage shed, what is the volume of concrete used to pave the walkway?

Feet Cubed

Answers

Answer:

120 ft

Step-by-step explanation:

Please review the full explanation below

Answer:

........................................................................................

Step-by-step explanation:

Original: $100, Discount: 13%

Answers

Answer:

Step-by-step explanation:

$87

PLS HELP FOR A GRADE DUE TODAY BRUH PLS

Answers

Answer:

A Yes, because every x-vaule has a single y-vaule

Step-by-step explanation:

None of the points share a point on the x axis meaning none of them are directly vertical of each other they are all seperate from each other.

Answer:

A

Step-by-step explanation:

The parking fee at the amusement park is $15. Each
ride requires a ticket that costs $4. Grams spent $71
for her grandchildren. How many ride tickets did
Grams purchase?

Answers

Answer:

Step-by-step explanation:

Total money spent = 71

Parking fee = 15

71 - 15 = 56

Each ride costs = 4

Total rides = 56 ÷ 4 = 14 rides

please answer thank u i give brainliest to best answer

Answers

Answer:

A, B, C,

Step-by-step explanation:

Just use a calculator...?

a)

[tex]2^-^2*2^8=\frac{1}{2^2}*2^8=\frac{2^8}{2^2}=2^8^-^6=2^6=64\\[/tex]

b)

[tex]3^-^5*3^1=\frac{1}{3^5}*3=\frac{3}{243}=\frac{1}{81}[/tex]

c)

[tex]4^4*4^-^3=\frac{4^4}{4^3}=4^1=4[/tex]

d)

[tex]5^3*5^-^1=\frac{5^3}{5^1}=5^2=25[/tex]

e)

[tex]6^-^8*6^-^6=\frac{6^6}{6^8}=6^-^2=\frac{1}{6^2}=\frac{1}{36}[/tex]

f)

[tex]8^2*8^-^4=\frac{8^2}{8^4}=8^-^2=\frac{1}{8^2}=\frac{1}{64}[/tex]

the answers are A B and C

Ms. Ochoa recorded the age and shoe size of each
student in her physical education class. The graph
below shows her data.
Ages and Shoe Sizes of Students
in Ms. Ochoa's Class
9
.
83
8 8
.
Shoe Size of Student
7
6
0
13
14
11 12
Age of Student (years)
Which of the following statements about the graph
is true?

Answers

Answer:

The graph shows no trend.

Step-by-step explanation:

See attachment for given graph

Required

What is true about the graph?

From the attached graph, the following points can be deduced:

The data points show no patternThe data points at the same horizontal or vertical level are far away from one anotherWe can not conclude if y increases or decreases as x increase or decreases

Because of the highlighted points, it is safe to conclude that the graph shows no trend.

Answer:

D

Step-by-step explanation:

Which description explains how the graph of f(x)=√x could be transformed to form the graph of g(x) = √x-6

horizontal shift of 6 units left
horizontal shift of 6 units right
vertical stretch by a factor of 6
vertical shift of 6 units up

Which equation represents the transformation of f(x)=|x| when effected by a vertical stretch of 3, a horizontal shift to the right 4 units, and a vertical shift up 2 units?

g(x)= 1/3 |x−4| + 2

g(x)= 1/3 |x+4| − 2

g(x)= 3 |x−4| + 2

g(x)= 3 |x+4| + 2

Answers

Answer:

b

c

Step-by-step explanation:

First question: x - 6 means there is a shift to the right.

Second Question: substitute the given values into the original equation for appropriate transformations.

Answer: 3 |x-4| + 2, because vertical stretch multiplies x, horizontal shifts are subtracted or added to x, and vertical shifts are added or subtracted to the entire function.

The movement of the curve in the graph is shifting of the curve in vertical or the horizontal direction.For the first function the graph horizontal shift of 6 units right and for the second function when it is  vertical stretch of 3, a horizontal shift to the right 4 units, and a vertical shift up 2 units the transformation function is,

[tex]g(x)=3|x-4|+2[/tex]

Given-

The equation of the graph given in the problem is,

[tex]f(x)=\sqrt{x} [/tex]

Translation of the graph

The movement of the curve in the graph is shifting of the curve in vertical or the horizontal direction.

a) The equation of the graph when it is transferred is given as,

          [tex]g(x)=\sqrt{x-6} [/tex]

There is no change with the constant value. Thus the graph will not move in vertical direction. The change in variable of a unit result in the graph shift in horizontal direction.

As it shift -6 thus graph horizontal shift of 6 units right.

b) The given function is,

[tex]f(x)=|x|[/tex]

Vertical stretch of 3 means multiply the function with unit 3.

[tex]g(x)=3|x|[/tex]

Horizontal shift to the right 4 units means the difference of 4 units in the variable,

[tex]g(x)=3|x-4|[/tex]

Vertical shifts up with 2 units means the addition of the constant 2.

[tex]g(x)=3|x-4|+2[/tex]

Hence, for the first function the graph horizontal shift of 6 units right and for the second function when it is  vertical stretch of 3, a horizontal shift to the right 4 units, and a vertical shift up 2 units the transformation function is,

[tex]g(x)=3|x-4|+2[/tex]

Learn more about the Translation of the graph here;

https://brainly.com/question/1870192

is the square root of 13/16 rational?

Answers

Answer:

its not a rational bcs 13 is non recurring decimal and not a perfect square.

2 What is the solution set of
|4x - 1|= 3?

Answers

Answer:

Exact Form:

x = 1 , − 1/ 2

Decimal Form:

x = 1 , − 0.5

Step-by-step explanation:

QUICK MATH

What is the product of -3 1/3 and -8 7/10

Answers

Answer:

29

I hope this helps!

Answer:

29

Step-by-step explanation:

I need help please solve for x given that TSU ~ FSG

Answers

Answer: X = 4

Step-by-step explanation:

TS/FS = SU/SG

3x-2/5 = 6/3

3(3x-2) = 6* 5

9x - 6 = 30

9x -6 + 6 = 30 + 6

9x = 36

x = 36/ 9

x = 4

Answer:

[tex]x = \frac{9}{6}[/tex]

Step-by-step explanation:

The first step is figuring out what the scale factor is

       since [tex]2 \overline{\rm US} = \overline{\rm GS}[/tex] we know the scale factor is two

The second step is setting up the equation then solving the equation

       [tex]2(3x -5) = 5[/tex]

       [tex]6x - 4 = 5[/tex]

       [tex]6x = 9[/tex]

       [tex]x = \frac{9}{6}[/tex]

How much fertilizer containing 30% nitrogen should be mixed with a fertilizer containing 10% nitrogen to get 10L of a fertilizer containing 12% nitrogen?

Answers

Answer:

1L of 30% fertilizer and 9L of 10% fertilizer

Step-by-step explanation:

Let x = the amount of fertilizer containing 30% nitrogen.

Let y = the amount of fertilizer containing 10% nitrogen

x + y = 10 because the two fertilizers together will be 10L

0.3x will be the amount of nitrogen in the 30% nitrogen fertilizer, and 0.1y will be the amount of nitrogen in the 10% fertilizer. If you add those together, you will get 12% of the nitrogen in the 10L mixture. This makes this equation:

0.3x + 0.1y = 0.12(10)

0.3x + 0.1y = 1.2

Now we have our two equations.

x + y = 10

0.3x + 0.1y = 1.2

We can use substitution to solve this system of equations.

x = 10 - y

Substituting this into the second equation, we have:

0.3(10-y) + 0.1y = 1.2

3 - 0.3y + 0.1y = 1.2

3 - 0.2y = 1.2

1.8 = 0.2y

9 = y

10 - 9 = 1L

There will be 9L of 10% nitrogen fertilizer and 1L of 30% nitrogen fertilizer.

I NEED HELP ASAP PLEASE AND THANK YOU.

Answers

Answer:

C

Step-by-step explanation:

Happy Holidays ❄️☃️

Jason earns $78,000 per year. If he is paid weekly what is his weekly pay?

Answers

In one week he's made $1,500

Answer:

1,500 fffffffffffffffffffffffffffffffff

                                                     

For every 4 regular sodas sold at a market, there are 2 diet sodas sold. What is the ratio of diet sodas sold to the total number of sodas sold?

Answers

Answer:

1/3

Step-by-step explanation:

The total number of sodas sold is 6, which means the amount of diet soda compared to that is 2/6. This can be further simplified to 1/3.

Use substitution to solve the system x=2y-5 and -2x+5y=11

Answers

Answer:

(-3, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations by substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

x = 2y - 5

-2x + 5y = 11

Step 2: Solve for y

Substitution

Substitute in x:                    -2(2y - 5) + 5y = 11Distribute -2:                       -4y + 10 + 5y = 11Combine like terms:           y + 10 = 11Isolate y:                              y = 1

Step 3: Solve for x

Define original equation:                    x = 2y - 5Substitute in y:                                     x = 2(1) - 5Multiply:                                                x = 2 - 5Subtract:                                               x = -3

2x^2 - 3x - 2 = X + 4
The equation is represented by the system shown
here.
Check all of the solutions to this equation
-1, 3, 7, (-1, 3), (3, 7)

Answers

Answer:-1 and 3

Step-by-step explanation:

Took it on edge :)

The required solution of the given equation is (3, -1) which is the correct option (C).

What is a quadratic function?

The quadratic function is defined as a function containing the highest power of a variable is two.

The equation is below represented by the system shown here.

2x² - 3x - 2 = x + 4

Rearrange the terms of variables and constants in the above equation

2x² - 3x - 2 - x - 4 = 0

Apply the arithmetic operation in the likewise terms,

2x² - 4x - 6 = 0

2x² - 6x + 2x - 6 = 0

2x(x - 3) + 2(x - 3) = 0

(x - 3)(2x + 2) = 0

(x - 3) = 0 and (2x + 2) = 0

x = 3 and 2x = - 2

x = 3 and x = - 1

Therefore, the required solution of the given equation is (3, -1).

Learn more about the quadratic function here:

brainly.com/question/14083225

#SPJ2

Emily has 5 packs of gum. Each pack has 50 pieces of gum. If Emily eats 9 pieces of gum, how many pieces of gum are left in all? Emily that’s a lot of gum...

Answers

she will have 241 pieces of gum

What is the approximate area of the shaded sector in the circle shown below?
А. 4.68 in2
В. 17.3 in2
C. 34.6 in 2
D. 9.36 in2

Answers

Answer:

The answer is B, sorry if I'm wrong.

Step-by-step explanation:

Answer:B=17.3 in2

Step-by-step explanation:

How are √25 and √-25 different in the terms of a solution for both? *

Answers

Answer:

For [tex]\sqrt{25}[/tex] it will be plus or minus [tex]\sqrt{5}[/tex]

For [tex]\sqrt{-25}[/tex] it will be plus or minus [tex]\sqrt{5i}[/tex]

Step-by-step explanation:

Well for [tex]\sqrt{-25}[/tex] it will be 5i

Because i = -1  

In AABC, AB=8, BC=10, and AC=12. Let M, N, and K be the midpoints of the sides of AABC. Find length of each side of AMNK.​

Answers

Answer:

4,5,6

Step-by-step explanation:

A midsegment connects two midpoints, and this triangle would be made up of all midsegments.  If we know that midsegments are half of the side length, then we can get our answer.

given the function f defined by the formula f (x)=2x+1 find the following:
evaluate f(-5)
f(-5)=
f(-5)=
f(-5)=​

Answers

Answer:

f(-5)=-9

Step-by-step explanation:

f(x)=y

So knowing that -5 is equal to x plug it in

y=(2)(−5)+1

y=−9

If you have more questions just ask.

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