Answer:
1. get closer to 0
2. symmetrical across y=-x
3. x cannot be equal to 0
4. decreasing if x<0, increasing if x>0
Step-by-step explanation:
yes
Please answer the question in the picture
Answer:
2x² + 2x - 24
Step-by-step explanation:
We can use the FOIL method to multiply the terms together and then find the values in our trinomial. First, the F in FOIL. It stands for first, and we need to multiply the first terms in the two expressions. These terms are 2x and x. Multiplying 2x by x gives us 2x², so that's our first term.
Next, the O in FOIL. It stands for outside, and we need to multiply the terms on the very left and the very right. These are 2x and -3, and multiplying 2x by -3 gives us -6x. That's our second term.
Now, the I in FOIL. It stands for inside, so we need to multiply the terms in the middle of the expressions. Those are 8 and x, and we multiply those together to get 8x. That's our third term.
Finally, the L in FOIL. This stands for last; we need to multiply the last terms of each expression. Those are 8 and -3, and we can multiply those to get -24. Now we can get all our terms added together and simplify as needed.
2x² - 6x + 8x - 24
We can simplify -6x and 8x since they are like terms.
2x² + 2x - 24
And there is our trinomial. Hopefully that's helpful! :)
in which country has involved in world war
Answer:
The following countries were involved in the world warGermany
Austria-Hungary
Bulgaria
Ottoman Empire (the Central Powers)
These countries fought againstGreat Britain
France
Russia
Italy
Romania
Japan
United States (the Allied Powers).
Can someone tell me what the evaluated answer is?
Answer:
16) 7⁻²
17) -1⁻²
Step-by-step explanation:
plug in the x=, y=, and n= into the equation.
A company makes a profit of $y (in thousand dollars) when it produces x computers,
where y is given by the formula y = a(x - 100)(x - 200) for x 20 If 120
computers are produced, the profit will be $3,200,000.
a) Find the value of a.
b) What is the maximum profit the company can make? At this profit, how many
computers should be produced?
c) If the company targets to make at least $4,800,000, what is the range of the
number of computers to be produced?
The solutions to the questions if y is represented by the formula y = a(x - 100)(x - 200) are:
a) The value of a = -2000
b) The maximum profit the company can make = $5,000,000
To make maximum profit, 150 computers must be produced
c) The company must produce between 140 and 160 computers to make at least $4,800,000
The equation representing the company's profit is:
y = a(x - 100)(x - 200) for x > 20
If 120 computers are produced, the profit will be $3,200,000
That is, y = 3,200,000 if x = 120
a) Find the value of a
3,200,000 = a(120 - 100)(120 - 200)
3200000 = -16000a
a = -3200000/1600
a = -2000
b) Maximum profit the company can make
The equation becomes:
y = -2000(x - 100)(x - 200)
y = -2000(x² - 200x - 100x + 20000)
y = -2000(x² - 300x + 20000)
y = -2000x² + 600000x - 40000000
dy/dx = -4000x + 600000
dy/dx = 0 at maximum value
-4000x + 600000 = 0
4000x = 600000
x = 600000/4000
x = 150
To make maximum profit, 150 computers must be produced
Substitute x = 150 into y = -2000x² + 600000x - 40000000 to find the maximum profit
y = -2000(150²) + 600000(150) - 40000000
y = 5000000
The maximum profit the company can make = $5,000,000
c) Calculate the range of the number of computers to be produced If the company targets to make at least $4,800,000
-2000x² + 600000x - 40000000 ≥ 4800000
-2000x² + 600000x - 40000000 - 4800000 ≥ 0
-2000x² + 600000x - 44800000 ≥ 0
Divide through by -2000
x² - 300x +22400 ≤ 0
(x - 140)(x - 160) ≤ 0
140 ≤ x ≤ 160
The company must produce between 140 and 160 computers to make at least $4,800,000
Learn more here: https://brainly.com/question/25471478
In science class, a student is measuring the temperature of a solution in science experiment. The solution
started at -3.4 degrees. After two minutes the temperature had increased 12.4 degrees. After a few more
minutes, the temperature decreased 20.4 degrees. After one more minute the temperature increased by
3.2 degrees. What is the final temperature?
Answer:
-11.8
Step-by-step explanation:
Given:
-3.4 to 12.4 increased (difference = 15.8)
12.4 to 20.4 decreased (difference = 8)
20.4 to 3.2 increased (difference = 17.2)
To find:
Final temperature.
Solution:
As we noticed, this is a pattern of increase, decrease, increase... (and so on and so forth). From this alone, we have gotten the clue that the temperature is going to decrease. But here is the thing, How far will it decrease?
Use the difference of the starting result to find the ending result.
3.2 - 15
= -11.8
Therefore, the final temperature is -11.8.
Find the difference (10j-7)-(-9j+2)
Answer:
19j-9
HOPE THIS HELPS
- Todo ❤️
Step-by-step explanation:
10+9=19j
-7-2=9
If you spent 24 weeks working on a project for your job and are rewarded with 3 days of vacation write the ratio of time on vacation to time working as a fraction in lowest terms
George has four boards that are each 43 feet long and two that are 5.75 feet long.
What is the total length of all the boards together? Give your answer as a decimal.
Answer:
183.50 feet
Step-by-step explanation:
43*4=172
5.75*2=11.50
172+11.50=183.50
183.50 feet
simplify 3 wholes 6/8 + 2 wholes 2/8
Answer:
5/1
Step-by-step explanation:
3.75 + 2.25 = 5
5 = 5/1
Which is a property of an angle?
A-has two sides that each extend forever in both directions
B-has two endpoints
C-has two center points
D-has two rays that share a common endpoint
HELPPP PLZ PLZ PLZ 15 BRANULASR When x is decreased by 129 and then that number is multiplied by 129 , the result is 129. What is the value of x?
Answer:
130
Step-by-step explanation:
(x - 129) * 129 = 129
x - 129 = 129/129
x - 129 = 1
x = 129 + 1
x = 130
Answer:
x could equal 130 but I'm not sure about this one
Step-by-step explanation:
you take 130-129 which equal 1 then times 1 by 129 and it equals 129... again sorry if it's not right because I'm not entirely sure how to do this I'm pretty sure I did it correct though
90 degree angle is divided into two sides
Answers:
3x + 40 =64
4x - 6 =26
Step-by-step explanation:
So we are dealing with 2 complementary angles with both add up to 90 degrees. We can write an equation that shows this:
(3x+40) + (4x-6) = 90
Combine like terms
7x + 34 =90
Isolate x
7x = 56
x = 8
Now that we found x, all we have to do is substitute it in the equations:
3x + 40 = ?
3(8) +40 = ?
24+40 = ?
64 = ?
4x - 6 = ?
4(8) - 6 = ?
32 - 6 = ?
26 = ?
Answer:
3x+40= 66
4x-6= 26
Step-by-step explanation:
3x+40+4x-6=90˚ (because the square on the angle represents a 90˚)
Add 4x and 3x
Which is 7x
40 minus 6 is 34
The equation now looks like this:
7x+34=90˚
Subtract 34 on both sides:
7x=56
Divide 7 on both sides:
x=8
For 3x+40
Substitute x with 8
the equation now looks like this:
24+40 Which is 66
For 4x-6
4 times 8 is 32
32 minus 6 which is 26
Hope this helps!
Line ℓ has equation y=5. Find the distance between ℓ and the point Q(0,1).
Answer:
Distance = 4
Step-by-step explanation:
Given the linear equation of line ℓ, y = 5 which is a horizontal line in which its slope, m = 0 (zero slope), and each of the x-coordinates along the line have the same y-coordinate of y = 5.
In order to determine the distance of the horizontal line from the given point Q, (0, 1), use the following distance formula:
[tex]d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}[/tex]
Choose any x-coordinate to pair with the y-coordinate, y = 5. Let's use the y-intercept, (0, 5).
Let (x₁, y₁) = (0, 1)
(x₂, y₂) = (0, 5)
Substitute these values into the distance formula:
[tex]d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}[/tex]
[tex]d = \sqrt{(0 - 0)^{2} + (5 - 1)^{2}}[/tex]
[tex]d = \sqrt{(4)^{2}}[/tex]
[tex]d = \sqrt{16}[/tex]
d = 4
Therefore, the distance of line ℓ from point Q is 4.
epic gamer question i'll mark brainliest
Answer:
I think it is parallel
Step-by-step explanation:
(20 points!!!)
Alanna is going shopping for Goggles and food.
The cost of Goggles is $15 and the cost of each food item is $5.
If Alanna can spend at most $55, how many food items can be purchased?
Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work.
Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.
Explain what the solution means in the context of the word problem.
Answer:
(20 points!!!)
Alanna is going shopping for Goggles and food.
The cost of Goggles is $15 and the cost of each food item is $5.
If Alanna can spend at most $55, how many food items can be purchased?
Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work.
Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.
Explain what the solution means in the context of the word problem.
If the map distance is 20 cm and the scale is 4 cm = 60 km, what is the actual distance?
Answer:
300
Step-by-step explanation:
1. 60/4=15
2. 15x20=300
four and three sevents plus six and one fith.
Find the value of y for the given value of I.
y=x/2 + 9;x = -12
9514 1404 393
Answer:
y = 3
Step-by-step explanation:
Put the value where the variable is and do the arithmetic.
[tex]y=\dfrac{x}{2}+9\\\\y=\dfrac{-12}{2}+9=-6+9\\\\\boxed{y=3}[/tex]
Mr. Solomon, the art teacher, has 49.6 pounds of clay. If he gives every student 1.6 pounds of clay and has none left, how many students are in his class?
Answer:
He has 31 students
Step-by-step explanation:
You know this because 49.6 ÷ 1.6 = 31
A machine packs 180 boxes of cereal in a half-hour. It takes 55 minutes to pack 330 boxes. True or False?
Write a function that has the following characteristics:
-Exponential decay
-Asymptote is y = -2
-Shifted left 3 units from the parent function
9514 1404 393
Answer:
y = 0.4^(x+3) -2
Step-by-step explanation:
I have chosen the decay function y=0.4^x as the parent function.
Shifting any function f(x) left 3 and down 2 will transform it to ...
y = f(x+3) -2
So, the shifted parent function is ...
y = 0.4^(x+3) -2
If a course starts September 2022,and last for three years, what year would it end.
Answer:
im pretty sure its 2025
Answer:
2025
Step-by-step explanation:
how do you factor 3x^2-3x-90
3x^2 - 3x -90
=3 (x^2 - x -30)
=3 (x^2 −6x+5x−30)
=3(x(x−6)+5(x−6))
=3(x−6)(x+5)
your family have decided to paint your room. It took 1/2 hour to paint 1/8 of your room. How long will it take to paint your whole room?
Answer:
4 hours
Step-by-step explanation:
In 6 hours, J paints 1 room
So, in 1 hour, J paints 1/6 th of the room
Using similar logic, in 1 hour, T paints 1/12 th of the room.
Working together in one hour, they paint (1/6+1/12) th =1/4 of the room.
1/4 of the room is painted in 1 hour
So, 1 room is painted in 1 1/4=4 hours
Answer:
Step-by-step explanation: 1/7
10x-6x-4-1=7-12+2x+2x
Any value of
x
makes the equation true.
Always true
Interval Notation:
(−∞,∞)
What is the other 0 of the quadratic function
Answer: Unknown
Step-by-step explanation:
-b+/-√b^2-4ac/2a < plug a b and c into this equation and boom done ez
A file that is 249 megabytes is being downloaded. If the download is 15.7% complete, how many megabytes have been downloaded? Round your answer to the
nearest tenth ?
Answer:
39.1 megabytes
Step-by-step explanation:
Percentages are out of a hundred, so 15.7% is 15.7 out of 100, aka 15.7/100, which is 0.157.
Now, you just need to multiple this number by 249 megabytes to get 0.157 * 249 = 39.093 which rounds to 39.1
Which of the following could be the number shown on the number line?
A. V66
B. V60
C. V63
D. V65
Answer:
A
Step-by-step explanation:
v666
Solve all of them please u get 30 points
Step-by-step explanation:
from which text book please
express 1 000 000 in standard form
Answer:
10^6.
Step-by-step explanation:
There are 6 digits after the 1 so it's 1 * 10^6 or just 10^6.