what is f(x) = 0,5 (x-3)( x-5) in general form??​

Answers

Answer 1

Answer:

[tex]f(x)=0.5x^2-4x+7.5[/tex]

Step-by-step explanation:

The general form of a quadratic function is:

[tex]y=ax^2+bx+c[/tex]

We'll find the general form of the function:

[tex]f(x)=0.5(x-3)(x-5)[/tex]

Multiplying the expressions in parentheses:

[tex]f(x)=0.5(x^2-5x-3x+15)[/tex]

Simplifying:

[tex]f(x)=0.5(x^2-8x+15)[/tex]

Operating:

[tex]\mathbf{f(x)=0.5x^2-4x+7.5}[/tex]


Related Questions

i need help with this pleasee

Answers

Answer:2 2/15

Step-by-step explanation:

4/5= 12/15

+1 1/3 =5/15

1 and 17/15

17/15= 1 and 2/15 +1= 2 and 2/15

Amanda is making white oatmeal cookies with raisins and pecans for her club.The recipe makes seventeen of the big,chewy kind of oatmeal cookies with lots of raisins and nuts.It takes one-fourth of a cup of nuts and one-half of a cup of raisins just for the seventeen cookies!There are thirty-four members in Amanda's club .If she makes exactly thirty-four cookies,how many cups of nuts will she need ?

Answers

Answer:

1/2 cup of nuts

Step-by-step explanation:

If it takes 1/4 cups of nuts to make 17 cookies

Then it takes 1/4 * 1/17  = 1/68 cups of nut to make 1 cookie

So,

If 1/68 cups of nut are needed to make 1 cookie

To make 34 cookies we need;

34 * 1/68 = 1/2 cup of nuts

A grocery store is offering a sale on bread and soup. Khalil buys four cans of soup and
three loaves of bread for $11.67. Ronda buys eight cans of soup and one loaf of bread for $12.89.
Homework. Help
a. Write equations for both Khalil's and Ronda's purchases.
b. Solve the system to find the price of one can of soup and the price of one loaf of bread

Answers

Answer:

a) cblo

2)$3.44

Step-by-step explanation:

4 cans and 3 loaves=11.67

8 cans and 1 loaf= 12.89.

Set up equation:

x=cans

y=loaves

[tex]4x+3y=11.67\\8x+y=12.89[/tex] This is the answer for question A.

Multiply eq1 by 2:

[tex]8x+6y=23.34[/tex]

Subtract eq3 by eq2:

[tex]5y=10.45\\y=2.09[/tex]

Substitute:

[tex]8x+2.09=12.89\\8x=10.8\\x=1.35[/tex]

One can of soup and one loaf of bread=

[tex]1.35+2.09 or 3.44[/tex]

So:

[tex]$3.44[/tex]

Hope this helps :D Please hit the crown if u can !!

a. The equation should be

4x + 3y = $11.67

8x + y = $12.89

b. The price of one can of soup and the price of one loaf of bread is $1.355 and $2.09

The calculation is as follows:

here we assume the soup be x and bread be y

So, the equations are

4x + 3y = $11.67 .........(1)

8x + y = $12.89.........(2)

Here we need to multiply by 2 in equation 1

8x + 6x = $23.34

8x + y = $12.89

5y = $10.45

y = $2.09

Now x should be

8($2.09) + y = $12.89

x = $1.355

Learn more: https://brainly.com/question/4804019?referrer=searchResults

Jasim has invested 600 dinars in a business at the rate of 4 % for 3 years. Find his

i- simple interst ?


ii- total amount after 3 years ​

Answers

Answer:

Simple interest=72dinars

Total amount=672dinars

Step-by-step explanation:

i.Simple interest=(P×R×T)/100

Interest=(600×4×3)/100=72dinars

ii.Total amount after 3years=Principal+Simple interest

=600+72=672 dinars

if one apple cost 5 rupee orange cost 0.5 rupee and grape cost 0.25 rupee . find the number of apple orange ad grape we can buy from 20 rupee.

Answers

Answer:

3

Step-by-step explanation:

Add all the costs of the fruit.

5.75

Then divide it by 20.

= 3.4782.....

You can't have a quarter or half and apple so you round down.

Son answer is 3.

Hope this has helped!

75=-5(3+6m) I need this​

Answers

Are you finding m? If so here is the answer:

75 = -5(3 + 6m)

Distribute:
75 = -15 - 30m

Add 15 to both sides:
75 = -15 - 30m
+15 +15
90 = -30m

Divide by -30 on both sides:
90/-30 = (-30m)/-30

You should get: m = -3

WHAT IS THE VALUE OF THIS EXPRESSION BELOW WHEN Z=3
3z-1?

Answers

Answer:

8

Step-by-step explanation:

3(3)-1

=9-1

=8

PLS GIVE BRAINLIEST

The answer is 8

Hope this helps!!
And if you need it written out, go to the dude up top lol ✌

Find the value of x that makes FGH~JKL

Answers

180 degrees it’s the answer

She dove 75 feet under the sea

Answers

Amazing, 75 ft under the sea, wow. Could never be me

A regular decagon is rotated n degrees about its center, carrying the decagon onto itself. The value of n could be:
1. 10 degrees
2. 150 degrees
3. 225 degrees
4. 252 degrees

Answers

Answer:

252°

Step-by-step explanation:

Given

Shape: Decagon

Required

Determine the value of n

A Decagon has 10 sides and a complete rotation takes 360°

First, we need to calculate the angle of each rotation as follows.

Each Rotation = ⅒ * 360°

Each Rotation = 360°

Next, we determine the possible values of n.

The statement is represented as "possible values of n" because n can assume infinite number of values.

However, n must be a multiple of 36

From the list of given options.

10, 150 and 225 are not multiples of 36

Only 252 happens to be a multiple of 36 from the list of given options.

Hence, option D answers the question [base on the given options]

A decagon is a ten-sided polygon.

The value of n could be 252 degree.

Since, A Decagon has 10 sides

The angle made in one complete rotation is 360 degree.

Now find angle made in each rotation is,

                          [tex]=\frac{360}{10}=36degree[/tex]

Now, we have to find possible values of n.

Since, n must be a multiple of 36

Apply hit and trial from given option.

We observe that from given options, only 252 degree is multiple of 36.

Therefore, value of n could be 252 degree.

Hence, option 4  is correct.

Learn more:

https://brainly.com/question/9549251

A farmer's market is selling peaches for $2.00 a pound. If you buy 2 pounds, you save 10% on each pound. How much does it cost to get 2 pounds of peaches?

Answers

Answer:3.6

0

Step-by-step explanation:

Because 10 percent of 1.00 is 0.10 and if you do 10 percent of 1.00 times two it is 20 percent of 2..00 which is 0.4

if the expression (2y^a)^4 is equivalent to 16y^8, what is the value of a

Answers

Answer:

A = 2.

Step-by-step explanation:

When raising power to power and there is a base with a exponent and a coefficant, you need to know that the a exponent only belongs to the y. The 2 has a invisible 1 exponent. The new expression is now (2^1 y^a)^4 = 16y^8. Now it is time to solve it. 1x4 = 4 so it is (2^4 y^a) = 16y^8. 2^4 is also 2x2x2x2 which equals 16. Now for the a exponent, 8/4 =  ?. 2. The new expression is 16y^2 and a = 2.

Kiran and Clare live 28 miles away from each other along a rail trail Kiran walks at a speed of 3 miles per hour while Clare walks 4 miles per hour how long will it take the two friends to meet

Answers

Answer:

Step-by-step explanation:

Total distance between Kiran and Clare is 24 miles. They started walking at 8.00 am.

Speed of Kiran is 3 miles/hr and speed of Clare is 3.4 miles/hr.

So the relative speed of them is,

miles/hr

Both the speed are added as they moving in opposite direction.

We know that,

i.e  

Putting the values,

As they started at 8.00 am, so the time at which will meet will be,

Step-by-step explanation:

798/6 plsssssss help

Answers

Answer:

133

Step-by-step explanation:

If you divide 798 by 6 you would get 133

Plz mark brainliest

Answer:

133

The question wasn't really specific, so I guess this is the answer? If the question is something else, I can edit this answer or delete it if I can't solve.

you convert 71,100,000 into scientific notation?

Answers

7.11x10^7 would be 71,100,000 in scientific notation

Helppp plzz!!

A.) Side - Side - Side
B.) Side - Angle - Side
C.) Angle - Side - Angle
D.) Angle - Angle - Side
E.) Hypotenuse - Leg
F.) Not enough information.

Answers

Answer:

F. not enough information

Step-by-step explanation:

there are no markings as to the lengths and there is no way of knowing

which expressions are equivalent to 3x+2(x-1)-4​

Answers

Answer:

5x - 6

Step-by-step explanation:

Do the distributive property and your equation should look like this 3x + 2x - 2 - 4

Then combine like terms

You get 5x - 6

pls mark branliest

answer

5x - 6

Step-by-step explanation:

Do the distributive property and your equation should look like this 3x + 2x - 2 - 4

Then combine like terms

You get 5x - 6

pls mark brainliest

Solve. f/9 - 21 = -27f=

Answers

Step-by-step explanation:

f/9+27f=21

f(1/9+27)=21

f(244/9)=21

f=189/244

Rewrite the proportion 7:21 = 3:9 as a proportion using fractions.

A) 7/9 = 3/21
B) 7/21 = 3/9
C) 21/7 = 3/9
D) 7/21 = 9/3

Answers

Answer:

7/21=3/9 is the proportion of 7:21=3:9

please help with this
i’ll give brainlist

Answers

Answer:

i think c

Step-by-step explanation:

Please help me answer 16 please

Answers

Answer:

SSS

Step-by-step explanation:

I can identify that these triangles are congruent by using the SSS (Side, Side, Side) postulate theorem. I know this because first, second, and home triangle share the same side as the third, second, and home triangle, meaning they are congruent, so are the other sides of the angle since the question states they are congruent.


Which is a possible leading term for the graph
shown?
2x^3 -2x^3 2x^4 -2x^4

Answers

Answer:First answer 2x^4. Second answer + and +

Step-by-step explanation:

Just did it on edge

Answer:

C

Step-by-step explanation:

I’m smart

Write an equation of the line passing through the point (2,8) that is perpendicular to the line 2x-3y=7

Answers

Answer:

y = (-3/2x) + (35/4)

Step-by-step explanation:

So the perpendicular line will have a slope that is the opposite reciprocal of the other line's slope. Solve for the original line's slope first:

2x - 3y = 7 --> -3y = -2x + 7 --> y = (2x/3) - (7/3)

So, the slope of the perpendicular line will be (-3/2x)

Solve for the y-intercept of the perpendicular like by using the linear equation and substituting in (2,8):

8 = (-3/(2*2)) + b --> (32/4) = -(3/4) + b --> b = (35/4)

So, y = (-3/2x) + (35/4)

Hope that helps! :D

find the slope of the line passing through the points (-5,5) and (-5,-8)

Answers

Answer:

1

Step-by-step explanation:

5-8            -3

----------=

-5--8         -3

-3

-----= 1

-3

Hope this helps!

-8 - 5 = -13
_____ ___

-5 + 5 = 0

So there is no slope because it’s a vertical line. It stays on the x-axis since there was no change in x-values.

The equation would simply be x=-5, and there is no slope.

The equation for slope formula is
(y2-y1)/(x2-x1)

I hope this helped its a little confusing yes

I WILL GIVE BRAINLIEST
Given ΔDEF : ΔRST, find x.



12
15
16
64

Answers

Answer:

The answer would be 12, I am very sure. :)

This is the last giveaway for today!!
if you could be any movie character who would you be?

Answers

Answer:

I would be Channel #2 from scream queens

Step-by-step explanation:

Why just because she was the first one that came to mind :)

Answer:

Stitch from Lilo and Stitch ^^

Step-by-step explanation:

That movie always was a favorite of mine, also, so fluffy!

There are 24 hours in 1 day. If you sleep 30% percent of the day how many hours do you sleep

Answers

7.2 hours a day. You get this answer by dividing 24 by 10 because that is 10% which is 2.4, multiply this by three which equals 30% and the answer is 7.2

Step-by-step explanation:

30%of24

30÷100×24

7.2

Anchara drops a penny from a height of 60 feet above the ground. The equation h=-16t^2 + 60 models the penbys height h i feet as a function of time t in seconds whatvare the solutions

Answers

Answer:

t = 1.94 seconds

Step-by-step explanation:

we have to solve the following polynomial equation:

-16t² + 60 = 0

16t² = 60

t² = 60/16 = 3.75

t = √3.75 = 1.936491673 seconds

the equation also has another possible answer = -1.936491673 seconds, but since time cannot be negative, we have to dismiss that option

tiffany answered 90% of questions on her math test correctly there were 50 questions on the test how many questions did tiffany answer correctly

Answers

45 questions

.9 x50 = 45

Determine the leading coefficient of the polynomial p, which has exactly three roots: -1, 1 and 2, and for which p(3) = 24 is true.


Answers

Answer:

The polynomial is [tex]x^3-2x^2-x+2[/tex]

Leading coefficient is 1

Step-by-step explanation:

We need to determine the leading coefficient of polynomial p having roots

-1,1 and 2 and p(3)=24

Roots of polynomial are: -1,1,2

We can write them as:

x=-1, x=1, x=2

x+1=0, x-1=0, x-2=0

or:

(x+1)(x-1)(x-2)=0

Multiplying the terms to find the polynomial:

[tex](x+1)(x-1)(x-2)=0\\(x(x-1)+1(x-1))(x-2)=0\\(x^2-x+x-1)(x-2)=0\\(x^2-1)(x-2)=0\\x^2(x-2)-1(x-2)=0\\x^3-2x^2-x+2=0[/tex]

So, The polynomial is [tex]x^3-2x^2-x+2[/tex]

The leading coefficient is the coefficient with highest power So, in polynomial we have highest power [tex]x^3[/tex] so, leading coefficient is 1

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