Mathematics High School

can someone help with getting the equation?

Answers

Answer 1

Answer:

y = -2x² + 8x + 10

Step-by-step explanation:

let's adjust the coordinates of vertex to a whole number: (2 , 17.75) to (2 , 18)

Quadratic equation: y = ax² + bx c or y = a(x-h)² + K (h,k) is the vertex

y = a (x-2)² + 18

a = (y-18) / (x-2)² = (16-18) / (1-2)² = -2 : calculate use point (1 , 16)

y = -2 (x-2)² + 18

y = -2x² +8x + 10

Related Questions

Please please help please please ASAP please I'm begging you please I have 10 minutes please y'all help please any ACE that can help please

Answers

Answer:

20 gallons

Step-by-step explanation:

Divide 120 miles by 8 to find miles per gallon

120 ÷ 8 = 15 miles per gallon

Now divide 300 miles by 15 to find number of gallons required

300 ÷ 15 = 20

20 gallons are required for a journey of 300 miles

HELP ME PLEASE!!!! I am failing this class and don’t know what to do.

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i have to do formative assignments too

im spending all my points for this smh

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Answer:

Ask a tutor girl under it you will see ask a tutor so click that

Does anyone know what the rule for the 2 and 3 table could be

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Answer:

table 2= could be multiply each of the numbers by 4

table three= plug the x value in the equation and the y into the equation and then just solve it and make sure you add eight before you put your answer in.

Step-by-step explanation:

What percentage of the data values falls between the values of 27 and 45 in the data shown

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Answer:

Option C. 75% will be your answer

Step-by-step explanation:

hope it helps you

Factor polynomial by its greatest common monomial factor

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9m is the greatest common monomial factor you can take out of both.

9m(m^2 - 3)

The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):

A graph with two linear functions; f of x passes through 5, 0 and 10, 10, and g of x passes through negative 3, 0 and 2, 10.

Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)

Part B: Solve for k in each type of transformation. (4 points)

Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)

Answers

Answer:

A linear function can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If this line passes through the points (x₁, y₁) and (x₂, y₂), then the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

We know that line f(x) passes through points (5, 0) and (10, 10)

Then the slope of f(x) is:

a = (10 - 0)/(10 - 5) = 10/5 = 2

then:

f(x) = 2*x + b

again, knowing that f(10) = 10 (because this line passes through point (10, 10) )

10 = 2*10 + b

10 = 20 + b

10 - 20 = b = -10

Then the equation of this line is:

f(x) = 2*x - 10

Now for g(x) we know that it passes through (-3, 0) and (2, 10)

then the slope is:

a = (10 - 0)/(2 - (-3)) = 10/5 = 2

g(x) = 2*x + b

And knowing that g(2) = 10 (because this line passes through point (2, 10) )

10 = 2*2 + b

10 = 4 + b

10 - 4 = b

6 = b

then:

g(x) = 2*x + 6

Then the equations are:

f(x) = 2*x - 10

g(x) = 2*x + 6

A) One transformation may be a vertical translation, and the other can be a horizontal translation.

This is a vertical translation, which is defined as:

For a function f(x), a vertical translation of k units is written as:

g(x) = f(x) + k

If k is positive, the translation is upwards

if k is negative, the translation is downwards.

And an horizontal translation of k units is written as:

g(x) = f(x - k)

if k is positive, the translation is to the right

if k is negative, the translation is to the left.

For the vertical translation we have:

g(x) = f(x) + k

2*x + 6 = 2*x - 10 + k

6 = -10 + k

6 + 10 = k

16 = k

For the horizontal translation we have:

g(x) = f(x - k)

2*x + 6 = 2*(x - k) - 10

2*x + 6 = 2*x - 2*k - 10

6 = -2*k - 10

6 + 10 = -2*k

16 = -2*k

16/-2 = k

-8 = k

The transformations are:

g(x) = f(x) + 16

g(x) = f(x - (-8))

1.X + 1 3/7 = 4 5/7 Use either method that was
taught.

Answers

Answer:

32/7

Step-by-step explanation:

Urgent!!!

set whether each of the following equations represents a growth or decay

1. f(x)= 3[tex]^{x}[/tex]

2.f(x) = (0.25)[tex]x^{x}[/tex]

3.f(x)= [tex]\frac{2}{3x^{x} }[/tex]

4.f(x) =[tex]\frac{3}{2} x^{x}[/tex]

Answers

Answer:

Notice that the written functions are mostly incorrectly written, after a short online search i've found the correct ones, which are the ones i will write in this answer.

A general exponential equation can be written as:

f(x) = A*(r)^x

Where A is the initial value, r is the rate of growth, and x is our variable.

If r > 1, the function represents a growth.

if 0 < r < 1, the function represents a decay.

1) f(x) = 3^x

Here we have r = 3

This is clearly larger than 1, then this function represents a growth.

2) f(x) = (0.25)^x

Here we have r = 0.25, which is smaller than 1 and larger than zero, then this function represents a decay.

3) f(x) = (2/3)^x

here we have r = 2/3 = 0.66

This is larger than zero and smaller than 1, then this function represents a decay.

4) f(x) = (3/2)^x

Here we have r = 3/2 = 1.5

This is larger than 1, then this function represents a growth,

Hannah decided to curl up and read a good book. She started reading at 10:00 a.m. and
finished reading at 11:43 a.m. How much time did she spend reading? (SHOW YOUR WORK PLEASE!! I WILL GIVE BRAINLIEST TO BEST ANSWER WITH EXPLANATION BUT I NEED 2 PEOPLE TO ANSWER TO DO THIS)

Answers

Answer:

1 hour and 43 minutes or 103 minutes

Step-by-step explanation:

There are 60 minutes in an hour, so from 10 am to 11 am is 60 minutes. The additional 43 minutes need to be combined with the 60 minutes, which will give you 103 minutes.

Answer:

1 hour and 43 minutes

Step-by-step explanation:

10:00am+ 1 hour = 11:00 am

11:00 am + 43 minutes = 11:43

Hope this helped!! :3

Factor the expression using the GCF. A. 2(4a + 8c) B. 4(2a + 4c) C. 8(a + 2c) D. 16( 12 a + c) Not multiple choice

Answers

Note: The expression is missing. Consider the expression is [tex]8a+16c[/tex].

Given:

The expression is

[tex]8a+16c[/tex]

To find:

Factor form of the given expression by using GCF.

Solution:

We have,

[tex]8a+16c[/tex]

Factors of each term:

[tex]8a=2\times 2\times 2\times a[/tex]

[tex]16c=2\times 2\times 2\times 2\times c[/tex]

The common factors are 2, 2 and 2. So,

[tex]GCF(8a+16c)=2\times 2\times 2[/tex]

[tex]GCF(8a+16c)=8[/tex]

Taking out the greater common factor (GCF) in the given expression, we get

[tex]8a+16c=8(a+2c)[/tex]

Therefore, the required expression is [tex]8(a+2c)[/tex] and the correct option is C.

Help!!! State whether you agree with each of the following statements.
1. A temperature of 35 degrees Fahrenheit is as cold as a temperature of
-35 degrees Fahrenheit.
Agree
Disagree

Answers

Answer:

Step-by-step explanation:

Not true. A temperature of 35 degrees is 70 degrees higher than -35 degrees Fahrenheit.

you roll die that is number 1 to 6. what is the probability that you will roll a 3 or 5?

Answers

Answer:

the probibiltiy that your roll 3 is 1/6 and 5 is 1/6 that is sepreate if its both together it is i belive 2/6

Step-by-step explanation:

I have 8 pennies and some quarters, nickels, and dimes. The number of pennies plus nickels equals the number of dimes. I have 3 quarters for every 2 pennies and 3 dimes for every 2 quarters. How many coins are nickels? A. 28 B. 18 C. 15 D. 10

Answers

The answer is D. 10 nickels

Answer:

The answer is D.) 10

Step-by-step explanation:

I took a quiz and according to that its correct

.........................................help

Answers

hey babypuppy what are your pronouns do i and green green brown green green brown brown orange green brown green orange green brown orange green orange orange green brown brown orange brown brown green orange

55 points
2. Sammy throws a drawing pin 200 times and records how it lands

Pin up 160
Pin down 40

a. What is the probability the pin will land i) pin up? ii) pin down
b. How many pin ups would you expect if the pin was thrown i) 80 times ii)320 times iii) 400 times iv)1000 times

Answers

Answer:

160:40 or 160 to 40, 80:320 or 80 to 320, 400:1000 or 400 to 1000

Step-by-step explanation:

pls help 30 pts.... answer correctly pls

Answers

It would 1/78 fraction

An election was held between two persons to select a representative to a certain
institution. All the voters who were registered cast their votes. The winner
received 7/12 of the votes and
won by a majority of 120 votes.

(i) What fraction of the total votes did the person who lost receive?
(ii) How many registered voters were there?
(iii) Find the number of votes the winner received.

Answers

9514 1404 393

Answer:

(i) 5/12

(ii) 720

(iii) 420

Step-by-step explanation:

(i) The fraction representing all votes is 12/12. If 7/12 were received by the winner, then the loser received 12/12 -7/12 = 5/12 of the total votes.

The person who lost received 5/12 of the total votes.

(ii) The winner won by 7/12 -5/12 = 2/12 = 1/6 of all votes. So, the total number of votes is ...

120 votes = 1/6(total votes)

total votes = 6×120 votes = 720 votes

There were 720 registered voters.

(iii) The winner received ...

(7/12)(720 votes) = 420 votes . . . received by the winner

Which value of x makes the equation 1.75(5x − 10) = 10.5 true?

A. -3.2
B. 0.5
C. -0.5
D. 3.2

Algebra

Answers

Answer:

Answer is D) 3.2

Have a nice day!

PLEASE HELP ASAPPPPPP!!!!!!!!!!!!

Answers

Answer:

324

Step-by-step explanation:

divide 752 by 2 to get 376

then subtract 52 from 376 to get 324

How would the imaginary number 7/2i be written as a complex number?

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3.5? i’m not sure sorry
hope that kinndaaaa helps if xxo

please also answer this one rlly fast!!

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Answer:

Step-by-step explanation:

1 ÷ 0.25 = 4

Help plsss
Find Perimeter

Answers

Answer:

Step-by-step explanation:

10+10=20

8+8 = 16

36 is perimeter of the rectangle

diameter of half circle is 8

formula for circumference of a circle is r π = 8 x 3.14

8 x 3.14 = 25.12 but your not done yet its a half circle so divide by 2

25.12/2 = 12.56

12.56 + 36 = 48.56 is final answer

give me brainliest

21
4 points
A scale model of a boat is 28 inches long and 8 inches wide.
If the actual boat is 35 feet long, how wide is it?

Answers

35:28=8:X
X=28•8/35
X=224/35
X=6.4
Boat is 6.4 ft wide

factor the polynomial
4x^2 + 12 + 9

Answers

Answer:

The answer is [tex](2x+3)^2[/tex].

Step-by-step explanation:

Multiply the coefficient of the squared term and the constant. Then, find the factors that add up to 12:

[tex]4*9=36\\36:\{1*36,2*18,3*12,4*9,6*6\}\\6+6=12[/tex]

Split the middle term:

[tex]4x^2+6x+6x+9[/tex]

Factor by grouping:

[tex][4x^2+6x]+[6x+9]\\2x(2x+3)+3(2x+3)\\(2x+3)(2x+3)\\(2x+3)^2[/tex]

Please give me the correct answer.Only answer if you're very good at math.Please don't put a link to a website.

Answers

Answer:

a is equal to 0

Answer: A is equal to 0

Anything’s you time by 0 you get 0 remember that

Step-by-step explanation:

0 and 0.1*0=0 and 0.01*0=0 so 0=0

The area of a triangle is 36 sq cm. The triangle's height is 8 cm. What is the length of the base of the triangle?

Answers

Answer:

9 cm

Step-by-step explanation:

Given :

Area, A = 36cm²

Height, h = 8cm

Using the relation :

Area, A of triangle :

A = 1/2 * base * height

36 = 0.5 * base * 8

36 = 4 * base

base = 36 / 4

Base = 9 cm

Length of base is 9cm

Which expression is equivalent to: (5⁹ × 5⁻⁷)⁻² ?

Answers

Answer:

(6^4 x 2^-9)

Step-by-step explanation:

can someone please help me to do this?