MATHEMATICS HIGH SCHOOL

Functions 1 and 2 are shown below:Function 1: f(x) = −3x2 + 2
A graph of a parabola with x intercepts of negative 0.5, 0 and 2, 0 and a vertex of 0.5, 4 is shown.

Which function has a larger maximum? Type your answer as 1 or 2.

Answers

Answer 1
Answer:

Answer:

The function 2 has a larger maximum.

Step-by-step explanation:

The vertex form of the parabola is

f(x)=a(x-h)^2+k              .... (1)

Where, (h,k) is the vertex.

The given functions are

f(x)=-3x^2+2                 ..... (2)

Since the leading coefficient is negative, therefore it is a downward parabola. It means the vertex of the parabola is the maximum point.

On comparing (1) and (2), we get

h=0,k=2

Therefore the maximum value of the function is 2 at x=0.

The second function has x intercepts of (-0.5, 0) and (2, 0) and a vertex of (0.5, 4).

It is also a downward parabola because the parabola has two x-intercepts and the vertex lies above the x-axis.

Since the vertex is (0.5, 4), therefore the maximum value of the function is 4 at x=0.5.

Maximum(F_1)=2

Maximum(F_2)=4

Therefore function 2 has a larger maximum.
Answer 2
Answer:

Answer:

the anwser is 2 guys. i got it correct

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Rebecca complete four addition problems each minute. How many minutes will it take her to complete 12 problems?
A surveyor measures the angle of elevation to the top of a building to be 70 degrees. The surveyor then walks 50 ft farther from the base of the tower and measures the angle of elevation to be 50 degrees. The surveyor's angle-measuring device 5.5 ft from the ground. How tall is the building, to the nearest foot?
What is 1÷0?and is it possible
Simplify: –3(y + 2)2 – 5 + 6y What is the simplified product in standard form?
A company has developed a new ink-jet cartridge for its printer that it believes has a longer life-time on average than the one currently being produced. To investigate its length of life, 40 of the new cartridges were tested by counting the number of high-quality printed pages each was able to produce. The sample mean and standard deviation were determined to be 1511.4 pages and 35.7 pages, respectively. The historical average lifetime for cartridges produced by the current process is 1502.5 pages. Calculate the appropriate test statistic to test the hypotheses.

Giving 15 points for help!Mr. Yi buys vegetables at a market. He purchases 6 pounds of potatoes, p, and 3 pounds of onions, n, for $18. Onions cost twice as much as potatoes. To determine the unit price for each item, his daughter sets up and solves the system of equations shown.

6p + 3n = 18 and 2n = p
6(2n) + 3n = 18
12n + 3n = 18
15n = 18; n = $1.20
Onions cost $1.20 per pound.

Analyze the daughter’s solution. Which statements are true? Check all that apply.

The equation 2n = p should be 2p = n.

The equation 6p + 3n = 18 should be

6n + 3p = 18.

The actual cost of the onions is $3.00 per pound.

Potatoes cost $0.60 per pound.

Potatoes cost $1.50 per pound.

Potatoes cost $2.40 per pound.

Answers

Answer: The correct statements are 'The equation 2n = p should be 2p = n' , 'The actual cost of the onions is $3.00 per pound' and 'Potatoes cost $1.50 per pound.'

Step-by-step explanation:

Here, p represents cost of one potato and n represents the cost of one onion.

And, According to the question,  He purchases 6 pounds of potatoes, p, and 3 pounds of onions, n, for $18.

Therefore, 6p +3n = 18    ------(1)

And, Onions cost twice as much as potatoes.

Therefore, n= 2p ---------(2)

Putting the values of n from 2) in equation 1),

we get, 6p+3(2p)=18

⇒6p+6p=18 ⇒ 12p =18 ⇒ p = 1.5 dollar.

Thus cost of one potato= $1.5

And cost of one onion = $ 2× 1.5= $ 3.00

Thus with help of above explanation we can say that Options first, third and fifth are correct.

Answer:

Step-by-step explanation:

1,3,5

If your state has a property tax rate of 0.056, and you pay $3,164.45 in property taxes every year, what is the assessed value of your property?a. $177,209
b. $21,265
c. $56,508
d. $48,684

Answers

The assessed value of your property is $56,508.

Given that, the rate of property tax=0.056 and tax money=$3,164.45.

What is a tax?

Money that the government collects is based on income, sales, and other activities.

Let the assessed value of your property is x.

Now, 0.056×x=3,164.45

⇒x=3,164.45/0.056

⇒x=56,508.035≈56,508

Therefore, the assessed value of your property is $56,508.

To learn more bout the tax visit:

brainly.com/question/12611692.

#SPJ5
If your state has a property tax rate of 0.056, and you pay $3,164.45 in property taxes every year,
=>$56,508 * 0.056 =  $3,164.45
Therefore the value of his property is 56 508 dollars.

How to change1.333 to a percent

Answers

To change 1.333 to a percent just put it over 100 and divide.

1.333/100 = 0.01333

Also, take off the zeros and your left with 1333

Select the equation that most accurately depicts the word problem. A class of 19 pupils has five more girls than boys. Let n = the number of boys. n + (n + 19) = 5 n + (n + 5) = 19 n - (n + 5) = 19 n + (n - 19) = 5

Answers

Answer:n+(n+5)=19

Step-by-step explanation:

Given: The total number of students in a class = 19

Let n represents the number of boys.

Then, According to the question the number of girls = n+5

Now, the equation that most accurately depicts the given word problem will be :-

\text{Girls+Boys=Total}\n\n\Rightarrow n+(n+5)=19

Hence, the n+(n+5)=19 is the equation that most accurately depicts the given word problem .
n+(n + 5) = 19 should be the answer, if it is wrong then sorry..

n+ (n+ 5) = 19 is the best answer because they're are 19 people in the class so the total would be 19, now there is 5 more girls than boys and "n" represents the number of boys so you would put n + 5 = 19. You wouldn't subtract, you would add.

For today’s lunch, a school cafeteria’s budget allows it to purchase at most 60 cans of beans and 45 cans of corn. 1 can of beans feeds 5 students, and 1 can of corn feeds 6 students. Each student will have beans or corn, but not both, and there will be a maximum of 420 students at lunch. If a can of beans cost $2.00 and a can of corn cost $3.00, what is the maximum amount of money required to feed all of the students either beans or corn?A: $180

B: $195

C: $210

D: $225

Answers

Answer:

Option B.

Step-by-step explanation:

Let x be the number of cans of beans and y be the number of cans of corn.

Cafeteria’s budget allows it to purchase at most 60 cans of beans and 45 cans of corn.

x\leq 60

y\leq 45

1 can of beans feeds 5 students, and 1 can of corn feeds 6 students. Each student will have beans or corn, but not both, and there will be a maximum of 420 students at lunch.

5x+6y\leq 420

Can of beans cost $2.00 and a can of corn cost $3.00.

Objective function, Z=2x+3y

The required linear programming problem is

Objective function, Z=2x+3y

Subject to the constraints

x\leq 60

y\leq 45

5x+6y\leq 420

x\geq 0, y\geq 0       (Only 1st quadrant)

Draw the graph of these constraints as shown below.

The verities of common shaded region are (0,45), (30,45), (60,20), (60,0), (0,0).

Points            Z=2x+3y

(0,0)                    0

(0,45)                  135

(30,45)                195  

(60,20)                180

(60,0)                  120

The maximum amount of money required to feed all of the students either beans or corn is $195.

Number of cans of beans = 30

Number of cans of corn = 45

Therefore, the correct option is B.
I would go with B, one hundred ninety five dollars. Hope that this would help you..

You have been cleaning diesel dispensers for 35 minutes. You have completed 6 dispensers. How many minutes has it taken you to clean 1 dispenser?

Answers

Hope I helped_______________
(35)/(6)=5 \hbox{ min } 50\hbox{ s}
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