Show that each function is a quadratic function by writing it in the form
f(x) = ax² + bx+c and Identify a, b, and c.

1. h(x) = 2(x + 1)(3x – 4)

Answers

Answer 1

Answer:

h(x) = 2x² - 2x - 8

Step-by-step explanation:

Step 1: Write out equation

h(x) = 2(x + 1)(3x - 4)

Step 2: FOIL

h(x) = 2(x² - 4x + 3x - 4)

Step 3: Combine like terms (x)

h(x) = 2(x² - x - 4)

Step 4: Distribute

h(x) = 2x² - 2x - 8


Related Questions

Sam has three bags of marbles. The first bag has three-hundred-seventy marbles. The second bag has four-hundred-twenty marbles. And the third bag has two-hundred-ten marbles.

Answers

Answer:

1000 is a good estimation

Step-by-step explanation:

All three numbers in the hundreds place add up to 1,100, but they want you to estimate not solve the problem.

please help me asa[pasasppapspaspaspasppss

Answers

Answer:

B

Step-by-step explanation:

The smaller one is divided by 2 and is reflected around the y-axis

(i'm not good at explaining)

Sheldon wants to feed his strawberry plants 2 more times and his tomato plants one more time he will use the Same amount of plant food as before how much plant food will he need

Answers

Answer:

3 7/12 kg

He doesn't have enough plant to feed strawberry 2 more times and tomato 1 more time

Step-by-step explanation:

On sunday , sheldon bought 4 1/2 kg of plant food. He uses 1 2/3 kg on his strawberry plants and used 1/4 kg for his tomato plants. b. Sheldon wants to feed his strawberry plants 2 more times and his tomato plants one more time. He will use the same amounts of plant food as before. How much plant food will be need? Does he have enough left to do so.

Total plant bought = 4 1/2 kg

Strawberry = 1 2/3 kg

Tomato = 1/4 kg

Strawberry + tomato

= 1 2/3 + 1/4

= 5/3 + 1/4

= 20+3/12

= 23/12 kg

Total remaining after Sunday

= Total - used

= 4 1/2 - 23/12

= 9/2 - 23/12

= 54-23/12

= 31/12

= 2 7/12 kg

Sheldon wants to feed his strawberry plants 2 more times and his tomato plants one more time.

Strawberry = 2 × 1 2/3

= 2 × 5/3

= 10/3 kg

Tomato = 1 × 1/4

= 1/4 kg

Total plant needed to feed strawberry two more times and tomato 1 more time

= 10/3 kg + 1/4 kg

= 40+3/12

= 43/12 kg

= 3 7/12 kg

He will need 3 7/12 kg of plant

He doesn't have enough plant to feed strawberry 2 more times and tomato 1 more time

A conveyor belt moves at a constant rate of
12 feet in 3 seconds. A second conveyor
belt moves 16 feet in 4 seconds. Is this a proportional relationship, why or why not.

Answers

Answer:

Yes!!!

Step-by-step explanation:

Well, 12/3=4 16/4=4

4=4

Mark me Brainliest!!!

UwU

Yes, the conveyors are in a proportional relationship.

Given,

A conveyor belt moves at a constant rate of 12 feet in 3 seconds.

A second conveyor belt moves 16 feet in 4 seconds.

We need to find whether the two conveyors are in proportion relationship.

What is a proportional relationship?

There is a proportional relationship if the ratios of each pair of values are the same.

We have,

- First conveyor belt

12 feet in 3 seconds.

Ratio = 12 / 3 = 4

- Second conveyor belt

16 feet in 4 seconds.

Ratio = 16 / 4 = 4

Ratios are the same.

4 = 4

Thus the conveyors are in a proportional relationship.

Learn more about the proportional relationship here:

https://brainly.com/question/11391605

#SPJ2

A rectangle has sides that measure 2 x + 11 units long and 10 x + 1 units long. What is the expression that represents the perimeter of the rectangle?

Answers

Answer:

(24x + 24) units

Step-by-step explanation:

A rectangle is a shape that has four sides in which all angles are equal and opposite sides are equal and parallel to each other. The perimeter of a rectangle is the sum of all its sides. Since opposite sides are equal, the perimeter is given as:

Perimeter = 2(length + width)

Since the sides of the rectangle are 2 x + 11 units long and 10 x + 1 units long. Hence:

Perimeter = 2(2x + 11 + 10x + 1)

Perimeter = 2(2x + 10x + 11 + 1) = 2(12x + 12)

Perimeter = (24x + 24) units

Marnie’s charge for 4 1/2 hours of babysitting 

Answers

Answer:

$33.75

Step-by-step explanation:

Step 1:

$22.50 ÷ 3 = $7.50

Step 2:

$7.50 × 4.5 = $33.75

Answer:

$33.75

Hope This Helps :)

What is the value of the expression 3 2 (63+9 2 ) ​

Answers

Answer:

PLS SOMEONE ANSWER MY QUESTION

Step-by-step explanation:

simplify the equation
x+2=7x+3

Answers

Answer:

6x + 1

Step-by-step explanation:

Step 1:

x + 2 = 7x + 3

Step 2:

6x + 3 - 2

Answer:

6x + 1

Hope This Helps :)

perform the necessary questions -5 -(-3) + (-8)

Answers

the answer is 0 because -5 -(-3) equals 8 which cancels out when u add negative 8 :)

Evaluate.
(x + 4). 2 - x for x = 6
54
74
0
14

Answers

Answer: 74

Step-by-step explanation:

Substitute x=6 into the expression

(x+4) . 2^3 -6

Add the numbers

(6+4) . 2^3- 6

10 x 2^3 -6

Evaluate the power

10 x 2^3 -6

10 x 8-6

Multiply the numbers

10 x 8-6

80-6

Subtract the numbers

80-6

74

A student has homework assignments in each of his five daily classes he estimates that each assignment will take 30 minutes to complete it if is estimate is correct what is the latest he can start to work so that he can finish in time to watch his favorite television show at 10 PM

Answers

Answer:

he has to start at 8:30 PM I think

Step-by-step explanation:

it's because you do 30*5 then you get the answer 150, then you will do 150/60 whitch will get you to 2.5 and I think 2.5 is 2 hours, and 30 minutes. Then you minius 2 hours, and 30 minutes to the 10 hours and you get 8:30 PM (I don't know if that's correct or not)

Write the following as a mixed number. ( use the / symbol in your answer).
3.7777777...

Answers

Answer: 3/7

Step-by-step explanation:

Answer:

3 7/9

Step-by-step explanation:

0.7777777777777777777777777 is 7/9, so 3.777777777777777777777777777 is 3 7/9.

guys i need help pls​

Answers

-6/2

-3

subtract the top and divide

hope it helps

The cube of a number is less than five times the square of the number. For what set of numbers is this true?
(-0,5)
(5.00)
(-0.0) U (0.5)

Answers

Answer:

[tex](-\infty,0)\cup (0,5)[/tex].

Step-by-step explanation:

Note: In the given options it should be negative infinity instead of -0 because -0 does not make any sense.

It is given that cube of a number is less than five times the square of the number.

Let the unknown number be x.

[tex]x^3<5x^2[/tex]

[tex]x^3-5x^2<0[/tex]

[tex]x^2(x-5)<0[/tex]

This is possible when both factors [tex]x^2\text{ and }(x-5)[/tex] have different sign.

We know that [tex]x^2[/tex] is always greater than or equal to 0. So,

[tex]x-5<0[/tex]

[tex]x<5[/tex]

[tex]x\in (-\infty,0)\cup (0,5)[/tex]

Because [tex]x^2(x-5)<0[/tex] is not true for x=0, so, 0 is not included in the solution set.

Therefore, the solution set is [tex](-\infty,0)\cup (0,5)[/tex].

Answer:

C

Step-by-step explanation:

Complete the division problem.
What is the remainder?
?
- 18x - 7
2x + 3
- 2x + 5
6x + 5

Answers

Answer: 6x+5 I did the test on edg

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

for edge


A "centroid" is defined as the center of mass of an object, or shape. How might the midpoint formula be used to find the midpoint of a triangle?

Answers

Answer:

we can use centeroid formula of a triangle

that is (x1+x2+x3)/3

hope that helps : )

Write an algebraic expression to represent each verbal expression. 5 times the sum of a number and 1

Answers

Answer: 5(x+1)

Step-by-step explanation:

Let the number be x

Sum of number and 1 is x+1

5 times the sum is 5(x+1)

explanation of how a shape moves with the rule (x+4, y-2)

Answers

Answer:

it goes right 4 and down 2

Answer:

yes

Step-by-step explanation:

x+4=0

=x=-4

y-2=0

y=2

what is the same as 4 tens and 13 ones?

Answers

Answer:

53 ones

Step-by-step explanation:

In 13 ones, there is 1 ten and 3 ones.

4 tens + 1 ten = 5 tens

5 tens = 50 ones

50 ones + 3 ones = 53 ones

IF YOU COULD HELP ME I'D BE SO GRATEFUL! (Giving out brainliest) The points​ A(0,5), B(4,2), and​ C(0,2) form the vertices of a right triangle in the coordinate plane. What is the equation of the line that forms the​ hypotenuse?

Answers

Step-by-step explanation:

The line that forms the hypotenuse includes line AB.

Gradient of line AB = Rise/Run = (5-2)/(0-4) = -3/4.

y = -3/4 * (x) + c

When x = 0, y = 5. Hence c is 5.

The equation is y = 5 - (3x/4).

Evaluate the Piecewise Function for: f(2)

Answers

Answer:

f(2) = - 1

Step-by-step explanation:

Locate x = 2 on the x- axis, then go vertically down to the line. At this point read off the corresponding value for y on the y- axis, that is

f(2) = - 1

The graph of a function g is a
transformation of the graph of
f (x) = 9x + 5, where g(x) is 60% of
f(x). Write a rule for g

Answers

Answer:

[tex]g(x)=5.4x+3[/tex], graph of f(x) vertically compressed by factor 0.6 to get g(x).

Step-by-step explanation:

The given function is

[tex]f(x)=9x+5[/tex]

It is given that the graph of a function g is a  transformation of the graph of

f (x), where g(x) is 60% of  f(x). So, we need to write a rule for g.

[tex]g(x)=60\%\text{ of }f(x)[/tex]

It means graph of f(x) vertically compressed by factor 0.6 to get g(x).

[tex]g(x)=\dfrac{60}{100}(9x+5)[/tex]

[tex]g(x)=0.6(9x+5)[/tex]

[tex]g(x)=0.6(9x)+0.6(5)[/tex]

[tex]g(x)=5.4x+3[/tex]

Therefore, [tex]g(x)=5.4x+3[/tex]. Graph of f(x) vertically compressed by factor 0.6 to get g(x).

what is √330 simplified?

Answers

Answer:

18.16590212

Step-by-step explanation:

How many grams are in 32372 milligrams? Round your answer to the nearest tenth ( to one decimal point)

Answers

Answer:

Hey there!

The rule for converting milligrams to grams is dividing by 1000.

So, 32372 milligrams would be 32.372 grams.

Let me know if this helps :)

32.372 Grams is the asnwer

if it takes 24 minutes to walk 2 miles how long would it take to walk 6 miles

Answers

Step-by-step explanation:

24min= 2miles

? 6miles

it will be 6×24min÷2= 72minutes or 1hr 12min

A 3-column table with 3 rows. Column 1 is labeled Fraction with entries a, StartFraction 1 over 9 EndFraction, five-thirds. Column 2 is labeled Decimal with entries 1.2, b, 1.ModifyingAbove 6 with bar. Column 3 is labeled Percent with entries 120 percent, 11 and StartFraction 1 over 9 EndFraction percent, c. Identify the values of the variables that complete the table to show the equivalent fractions, decimals, and percents

Answers

Answer:

A=6/5

B=0.111...

C=166 2/3%

Step-by-step explanation:

just did it your welcome ;)

Answer:

6/5

0.111

166 2/3%

Step-by-step explanation:

On Edge 2020

|x+2| > 3 solve the inequality

Answers

Answer:

-3< x + 2 > 3

-5 < x > 1

Is this correct?

Distributive property of 1/2(8x+2)

Answers

Answer:

4x+1

Step-by-step explanation:

1/2 *(8x+2)=1/2*8x+1/2*2=4x+1

What is the distance between each pair of points?

Answers

Answer:

The square root of 145.

Step-by-step explanation:

For this problem, make a right triangle between these two points. To solve for distance, use the Pythagorean formula. We know that one side is 8, and the other side is 9, so square 8 and 9 to get 64 plus 81. When you add these together, you get the square root of 145. You cannot further simplify the square root of 145, so that is the distance between the pair of points.

Answer:

For any two points there is exactly one line segment connecting them. The distance between two points is the length of the line segment connecting them. Note that the distance between two points is always positive. Segments that have equal length are called congruent segments.

Step-by-step explanation:

PLEASE HURRY I NEED HELP I TRIED FOUR DIFFERENT TIMES ON THIS EQUATION AND I DON'T UNDERSTAND WHAT TO DO (will give brainliest for best answer) image below

Answers

Answer:

The answer is 48a-6b-14

Step-by-step explantion:

simplify by combining liketerms:

-6- 2b•3 -6a+ 10a• 3-16÷ 2- 4 • -6a

-6-6b-6a+30a -8+24a

48a-6b-14

Good luck!

Other Questions
3. In a field of sugar beets in Georgia the net primary productivity is 120 grams/m^2/day, and therespiration loss is 25%. The insolation energy is 800 calories/cm^2/day, and one gram of beets isequivalent to 2,000 calories.a. Find the gross productivity of the sugar beets.b. Using the NPP, calculate the efficiency of photosynthesis for the sugar beets. The final step of the decision-making model is: A-describe the situation B-weigh the pros and cons C-take action D-review your decision -36=9a-63 slove for a What is an economy? 1. Benito embroiders and sells T-shirts. The graphshows his profit as a function of the numberof shirts sold. After selling a certain number ofshirts, Benito uses some earnings to buy morematerials and then increases the price of theshirts. Which of the following is true?A )Benito increases the price after selling 50 shirts.B)The y-intercept represents the cost of oneT-shirt.C)The x-intercept represents the shirts he has to sell before making a profit.D)The domain of the function is {x|x is a real number greater than or equal to 0). song about scientific method How many subsets does the set A= {1, 2 3, 4} have? *2 points816412 A music company sells CDs for a particular artist. The company has advertising cost of $4,000 and recoding costs of $10,000; Their cost for manufacturing, royalties, and distribution are $5.50 per CD. They sell the CDs to Mage-Mart for $7.20 each Which statement describes instances of harassment rather than bullying?O Kaylee is teased because she is the smallest person in her class.O Alys is often excluded because she is a lesbian.O Connor is often shoved on the playground by older children.O Hanna is often gossiped about by a group of girls in her class. HELP PLEASE ASYMPTOTES Ron is playing a board game. His game piece is currently on space number 11 on the board. When Ron takes his turn he draws a care that instructs him to move backward 7 spaces. On his following turn he draws a card that instructs him to move forward 7 spaces. Where is Rona piece on the board after his turn? The Sepoy Mutiny in India is MOST similar to which event in China?O A. Taiping RebellionOB.Revolution of 1911O C.establishment of the Manchu DynastyODBoxer Rebellion Who founded the colony of Maryland?Oliver CromwellDuke of YorkCecilius CalvertWilliam Penn Help All atoms of the same element have the same How is a scientific theory different from a scientific law? Which of the following is NOT an example of how the Southwest Indians are using traditional skills to make money? A. raising sheep B. making jewelry C. weaving rugs D. running casinos The controlling idea Question 4 options: Is the thread that weaves through your entire essay. Is supported by your reason statements. Both A & B I need help with all of them but 13B you can answer all of them some of them or just one of them make sure to verify which one you are solving please and thank you Two angles form a linear pair. The measure of one angle is twice the measure of the other angle. Find the measure of each angle.The smaller angle measuresThe larger angle measures Find the coordinates for the vertex of the graph of the function y = 3x 12x+12.A (-2, 48)B. (0, 2)C. (-2, 0)D. (2,0)