Answers:
Absolute maximum: 4f(-3) = -2Absolute minimum: Does not existRange: [tex](-\infty, 4][/tex]Domain: [tex][-4, \infty)[/tex]Is it a function? YesRelative Maximum(s): 2Increasing Interval(s): [tex](-2, 1)[/tex] ... interval notationDecreasing Interval(s): [tex](-\infty, -2) \ \cup \ (1, \infty)[/tex]Relative Minimum(s): -4=====================================================
Explanations:
The absolute maximum occurs at the highest point. Specifically, it's the largest y output possible. In this case, it's y = 4.
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To determine the value of f(-3), we draw a vertical line through -3 on the x axis. Mark where this vertical line crosses the curve. Let's say its point P. From point P, draw a horizontal line until you reach the y axis. You should arrive at y = -2. Therefore, f(-3) = -2.
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The absolute min is similar to the absolute max, but now we're looking at the lowest y output possible. No such y value exists because the curve goes on forever downward.
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The range is the set of all possible y outputs. The range in compound inequality notation is [tex]-\infty < y \le 4[/tex] indicating y can be anything between negative infinity and 4. We can include 4. The range in interval notation is [tex](-\infty, 4][/tex]. Note the use of the square bracket so that we include the 4.
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The domain is the set of x inputs possible. The smallest such input allowed is x = -4. There is no largest input because the graph goes on forever to the right. The domain is any x value such that [tex]-4 \le x < \infty[/tex] which condenses to the interval notation [tex][-4, \infty)[/tex]
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This is a function because we cannot draw a single vertical line through more than one point on this curve; hence, this graph passes the vertical line test.
Put another way, any x input in the domain leads to exactly one and only one y output. This is a nonvisual way to prove we have a function.
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A relative maximum occurs at any peak or mountain region. It is relatively the highest point in the neighborhood/region of points. There's one such mountain peak and it's at (1,2). We can think of this as a vertex of sorts for an upside down parabola. So the relative max is y = 2 because we're only concerned with the y value.
Note: y = 4 is not a relative max because there aren't any points to the left of that endpoint. A relative extrema must have points to the left and right of it for it to be a valid neighborhood.
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Imagine this curve represents a roller coaster. As we move to the right, going uphill on this curve is an increasing section. That would be the interval from x = -2 to x = 1. So we'd say -2 < x < 1 which condenses to the interval notation (-2, 1). This is not to be confused with ordered pair (x,y) notation.
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Now we consider when we move downhill when we move to the right. This occurs on the intervals [tex]-\infty < x < -2[/tex] and also [tex]1 < x < \infty[/tex]. We don't include any of the endpoints. This is because at x = -2 and x = 1, the cart is neither moving uphill nor downhill. These locations are stationary resting points so to speak.
Those two inequalities mentioned convert to the interval notations [tex](-\infty, -2)[/tex] and [tex](1, \infty)[/tex] in that order.
Once we determined those separated disjoint regions, we glue them together with the use of the union symbol U.
Our answer for this part would be [tex](-\infty, -2) \ \cup \ (1, \infty)[/tex]. Any point in this collective region will be moving downhill when moving left to right.
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This is similar to a relative maximum, but this time we're looking at the lowest valley point of a certain neighborhood. This is at (-2,-4). Therefore, the relative min is y = -4.
2/3 - x = 3x-2/4 - 2(x+3)/3
please help me ASAP
Answer:
x = [tex]\frac{19}{20}[/tex]
Step-by-step explanation:
Decimal: x = 0.95
in pic
(Hope this helps can I pls have brainlist (crown)☺️)
How many songs can Chet download for $1.00 using Get Tunes? If she downloaded 27 for $13.50
Answer:
2
Step-by-step explanation:
A circle has a diameter of 24 yd. What is its circumference?
A circle has a diameter of 24 yd. What is its circumference?
Answer:
75.4
Step-by-step explanation:
Answer: 75.4 yd
Step-by-step explanation:
Using the formulas
C = 2 π r
d = 2 r
Solving for C
C = π d = π x 24 = 75.39822 yd
75.39822 rounded up is 75.4 so the answer is 75.4 yd.
each runner in a 4 4/5 mile relay race runs 4/5 of a mile.find the number of runners on a relay team
Answer:
Divide total distance of the race by the length each runner runs:
Divide total distance of the race by the length each runner runs:8 miles / 4/5
Divide total distance of the race by the length each runner runs:8 miles / 4/5When dividing by a fraction flip the fraction over and multiply:
Divide total distance of the race by the length each runner runs:8 miles / 4/5When dividing by a fraction flip the fraction over and multiply:8 miles x 5/4 = (8×5)/4 = 40/4 = 10
Divide total distance of the race by the length each runner runs:8 miles / 4/5When dividing by a fraction flip the fraction over and multiply:8 miles x 5/4 = (8×5)/4 = 40/4 = 10There are 10 runners
Step-by-step explanation:
HOPE IT HELPS YOU
Answer:
6 runners
Step-by-step explanation:
4 4/5 divided by 4/5 is 6.
Un conjunto de 10 000 observaciones tiene una distribución normal con media de
450. Si 1700 de ellas están comprendidas entre 450 y 460. ¿Cuál es la desviación
estándar?
Answer:
567898765
Step-by-step explanation:
At the end of the night, a restaurant had 3/4 of a large birthday cake left over. The 5 employees each took home the same amount of leftover cake. How much cake did each employee take home?
Answer:
3/20
Step-by-step explanation:
This is a division question.
The equation is 3/4 ÷ 5 or, to simplify this, 3/4 ÷ 5/1.
When you divide fractions you have to flip the second number and multiply the two fractions.
So, you have to do 3/4 x 1/5 which is 3/20.
Thus, the answer is 3/20.
Good luck!
Yesterday, Kofi earned 50 Cedis mowing lawns. Today, Kofi earned 60% of what he earned yesterday mowing lawns. How much money did Kojo earn mowing lawns today?
The amount of money that Kojo earn mowing lawns today is 30 cedis
To determine the amount of money that Kojo earn mowing lawns today we are going to multiply the amount she earn by the her earning percentage.
Using this formula
Amount=Earning × Earning rate
Where:
Earning=50 cedis
Earning rate=60%
Let plug in the formula
Amount=50×.60
Amount=30
Inconclusion The amount of money that Kojo earn mowing lawns today is 30 cedis
Learn more here:
https://brainly.com/question/24285252
Since Kofi earned 60% of what he earned yesterday mowing lawns, today he earned 30 Cedis.
Given the following data:
Amount earned yesterday = 50 Cedis.Percentage today= 60%To find how much money Kojo earn mowing lawns today:
In this exercise, you're required to find the amount of money earned by Kofi, if he was able to make certain amount of money the previous day.
Hence, we would determine what percentage of the money he earned today.
[tex]Today's\;earnings = \frac{60}{100} \times 50\\\\Today's\;earnings = \frac{3000}{100}[/tex]
Today's earnings = 30 Cedis
Read more: https://brainly.com/question/1015081
Who does edge still in 2021?
Everyone uses this sofware to develop there decent knowledge about different courses that are best taught by Artificial Intelligence (A.I.).
Increase £2193.67 by 8.5% Give your answer rounded to 2 DP.
Answer:
£2380.13
Step-by-step explanation:
An increase of 8.5% is 100% + 8.5% = 108.5% = 1.085 , then
£2193.67 × 1.085 = £2380.13 ( to 2 dec. places )
hi po pahelp ito pls pls pls pls pls pls pls
money
shopping
dividing
what is the LCD of 3/5, 1/10, 1/2
Please help. I will give brainly. Thank you
Answer:
1.
a = 1.96
( 1.4 x 1.4)
b= 3750
c= 1/48
2.
a= 2?
dont take my word on that but here.( An arithmetic sequence is any list of numbers that differ, from one to the next, by a constant amount. For example, the list of even numbers, 0,2,4,6,8… is an arithmetic sequence, because the difference from one number in the list to the next is always 2.[1] If you know you are working with an arithmetic sequence, you may be asked to find the very next term from a given list. You may also be asked to fill in a gap where a term is missing. Finally, you might want to know, for example, the 100th term, without actually writing out all 100 terms. A few simple steps can help you do any of these.
b= 3
c= 16-4a
( IM NOT SO CONFIDENT ABOUT 2)
3.
a= 17
b= ( 2squared - 1)
Step-by-step explanation:
Answer:
thank you for the points bozzo
Heyyy help maybe????????????
c. The double shadedregion represents
of the whole.
Step-by-step explanation:
please the information needed is up the paper. you took a picture of no. 2 instead of no. 1
please be super quick 3 minutessssss
Answer:
im pretty sure its B
Step-by-step explanation:
I THINK SOOO AHH
Consider the rational function:
f(3) = 22-53-6
22 +31-10
Which values are restrictions on the domain of f(x)?
theres also an answer option of x=5 but it wouldnt fit in the picture
2&3
Step-by-step explanation:
You have to factorise the second equation and you have to solve it. so you have x²-2x-3x+6
x(x-2)-3(x-2)
(x-2)(x-3)=0
Then you have to find x for each equation.
x-2=0
x=2
x-3=0
x=3
So the restricions are 2&3.
How do I Graph 2y=-8
Round the number 245,382 to the nearest given place value.
13. hundred
14. ten-thousand
16. ten
15. thousand
The value of each digit in a number is known as the place value. The number 245,382 to the nearest hundred place value is 245,400.
What is the place value of a digit in a number?The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.
The given number 245,382 can be rounded off to the nearest given place values as,
A.) hundred
The hundred is the third place in any number from the right end since the second value is 8 which is close to 10, therefore, the hundred place value will be rounded off to the next number.
245,400
B.) ten-thousand
The ten-thousand is the fifth place in any number from the right end since the fourth value is 5 followed by 382 which is more close to 50,000 than 40,000 , therefore, the ten-thousand place value will be rounded off to the next number.
250,000
C.) ten
The ten is the second place in any number from the right end since the first value is 2 which is close to 0, therefore, the ten place value will be the same while the first place will become zero.
245,380
D.) thousand
The thousand is the fourth place in any number from the right end since the third value is 3 which is close to 0, therefore, the thousand place value will be the same while the third place and the ahead will become zero.
245,000
Learn more about the Place Value here:
https://brainly.com/question/27734142
#SPJ2
solve pls brainliest
Step-by-step explanation:
-4+13=9
-16-(-29)=13F lower
Leonardo needs 1.65 L of distilled water for an experiment how many 550 ML containers of water will he need for the experiment
Answer:
0.0003
Step-by-step explanation:
Look at the graph below.
What is the slope of the line?
OA. 5
OB. -5
oc. 1
OD. -
What is the value of x in the proportion below? -
2/3 over 5 = x over 15
•2
•3
•10
•75
Answer:
2/3 over 15 is 10
so 10/5=2
2 is the answer
Step-by-step explanation:
You deposit $400 in an account earning 8% interest compounded annually. How much will you have in the account in 15 years?
Answer:
you will gain 280,462.92 in peso.but you convert in in dollar you will gain $5,520.00
Lira has flowers. 2/9 of them are roses, and 3/7 of the remainder are sunflowers and the rest are tulips. If she has 36 tulips, how many sunflowers and roses does she have all together?
The total sunflowers and roses Lira has is 18 and 27 respectively
Let
Total flowers = x
Roses = 2/9 of x
= 2/9x
Remaining = x - 2/9x
= (9x-2x) / 9
= 7/9x
Sunflowers = 3/7 of 7/9x
= (3 × 7)/(7 ×9)x
= 21/63x
Tulips = 36
Total = roses + sunflowers + tulips
x = 2/9x + 21/63x + 36
x - 2/9x - 21/63x = 36
(63x -14x-21x) / 63 = 36
28/63x = 36
cross product
28x = 36 × 63
28x = 2268
x = 2268/28
x = 81
Therefore,
Total flowers = x
= 81 flowers
Roses = 2/9x
= 2/9 × 81
= 18 flowers
Sunflowers = 21/63x
= 21 / 63 × 81
= 27 flowers
Read More:
https://brainly.com/question/2261275
25×2- (42÷6) + 18 can someone help me?
Answer:
The answer is 61
Answer:
61
Step-by-step explanation:
--- point (MC) 8 9 What is the value of m in the equation? 239 - 7 = m - 2
Answer:
m=234
Step-by-step explanation:
239-7=232
The equation now looks like this:
232=m-2
Add 2 on both sides:
m=234
Hope this helps!
how do i solve this step by step? i dont know how to set up this equation
Answer:
23
Step-by-step explanation:
The markings show that the vertical line and the hypotenuse are bisected. That means that the common ratio is 1/2.
(x - 8) / 30 = 1/2 Cross multiply
2(x - 8) = 30 Divide both sides by 2
x - 8 = 30/2
x - 8 = 15 Add 8 to both sides
x-8+8 =15+8
x = 23
Choose the symbol that correctly compares the fractions below.
9/11 ? 10/11
a.) >
b.) <
c.) =
Answer:
b) <
Step-by-step explanation:
Answer:
b.)<
9 / 10 < 10 / 11
Hope it helps:-)
Can’t figure it out pls help
Answer:
45, 45
Step-by-step explanation:
the corner shows that is a right angle with 90 degrees. the 4 lines going through each side tell me all the sides are the same.
all 3 angles added together equals 180
the other 2 corners have the same value
90 + x + y = 180
x and y are the same since all sides are the same and the right angle is present.
both are 45
i am just completely lost at this point so pls just answer properly
Answer:
$80
Step-by-step explanation:
192÷12=16
16•5=80
Answer:
Elena puts in $80 into her savings account
Step-by-step explanation:
You need to multiply 5/12 and 192. Think of "5/12 x 192" as "5/12 of 192." If you don't know how to multiply a fraction with a whole number, you can convert the fraction to a decimal. Hope this helps!