The descriptions of the quadratic functions f(x) and g(x) are as follows:
f(x) = [tex]-2x^{2} +9[/tex]
x g(x)
0 −5
1 3
2 11
3 3
4 −5
Which sentence compares the two functions' maximum values the most effectively?
(a)The maximum value is the same for both functions.
(b) f(x) has a greater maximum value than g(x).
(c) The greatest value of g(x) is bigger than that of f(x).
(d) The maximum values cannot be determined.
The statement that best compares the maximum value of the two functions is g(x) has a greater maximum value than f(x) that is Option (c).
The maximum value is the point at which a function reaches its peak is known as its maximum value.
To compare both functions.
Take function f(x)= [tex]-2x^{2} +9[/tex]
Differentiate the function f(x)
f'(x) = -4x
Take f'(x) as 0
-4x = 0
x = 0
Substitute x = 0 in f(x)
f(0) = [tex]-2(0)^{2} +9[/tex]
f(0) = 9
This means that the greater value of function f(x) is 9.
From the table of function g(x), the maximum is 11.
11 is greater than 9
Therefore, The greater value of g(x) is bigger than that of f(x).
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Sophie borrowed some money from her friend in order to help buy a new video game system. Sophie agreed to pay back her friend $2 per week and originally borrowed $10. Make a table of values and then write an equation for L,L, in terms of t,t, representing the amount Sophie owes her friend after tt weeks.
what is the equation and the 1 2 3 4
The equation for L, in terms of t, representing the amount Sophie owes her friend after t weeks is; L = 2t + 10
How to write an equation in Slope Intercept Form?
The general formula for equation of a line in Slope Intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Now, from the given question, the table of values is;
Number of weeks Amount of money owed
0 10
1 8
2 6
3 4
Now, since Sophie agreed to pay back her friend $2 per week and originally borrowed $10, it means that;
Slope = 2
y-intercept = 10
Thus, the equation for L, in terms of t, representing the amount Sophie owes her friend after t weeks is;
L = 2t + 10
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What is the range of the numbers below?
8.1
5.2
-8.4
0.9
-4.7
-8.1
Please help!! Graph the image of the trapezoid
below using a scale factor of
k= 1/4
If the coordinate points is reduced using the scale factor of 1/4, hence the resulting coordinate point will be;
F'(-2/4, 8/4) = (-1/2, 2)
G'(4/4, 8/4) = (1, 2)
I'(-6/4, -4/4) = (-1.5, -1) and;
H(8/4, -4/4) = (2, -1)
Reduction and enlargement of figures using scale factors.A scale factor is is a number used to enlarge a shape and each side is multiplied by the same number.
The given trapezoid has the coordinate points F(-2, 8), G(4, 8), I(-6, -4) and H(8, -4).
If the coordinate points is reduced using the scale factor of 1/4, hence the resulting coordinate point will be;
F'(-2/4, 8/4) = (-1/2, 2)
G'(4/4, 8/4) = (1, 2)
I'(-6/4, -4/4) = (-1.5, -1) and;
H(8/4, -4/4) = (2, -1)
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find the equivalent fractionsss with large denominatorsss
Answer:
12
Step-by-step explanation:
[tex] \frac{3}{8} = \frac{?}{32} [/tex]
8*4=32
3*4=12
Hi please help and show how you got to your answer! Thank you
Answer: PQ=15
Step-by-step explanation:
XY=(PQ+SR)/2
PQ+SR=2*XY
PQ+35=2*25
PQ+35=50
PQ=15
Please find the slope
Select all of the equations that represent linear relationships.
5+2y=13
y=1x²³+7
y-5=2(x-1)
=x+7
x=-4
Write out the sample space for the given experiment. Use the letter r to indicate red, g to indicate green, and b to indicate blue. A die shows 3 different colors on it. Give the sample space for the next 2 rolls.
The sample space for the given experiment is
{ (r,r) , (r,g) , (r,b)
(g,r) , (g,g) ,(g,b)
(b,r) , (b,g) , (b,b)}
What is Sample Space?A sample space is a set of potential results from a random experiment. Events are the subset of possible experiment results. An event is set of possible outcomes.
The die consists of 3 different colors namely red, green and blue
Here, the number of variables is 3 i.e red, green and blue.
The subset will contain
= [tex]2^{3}[/tex]
=8 elements.
The red color is indicated by 'r'
The green color is indicated by 'g'
The blue color is indicated by 'b'
The events that can appear in a single roll is r, b or g.
Sample space for the next 2 rolls
={ (r,r) , (r,g) , (r,b)
(g,r) , (g,g) ,(g,b)
(b,r) , (b,g) , (b,b)}
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What is the answer to this problem?
Answer:
8
Step-by-step explanation:
Given: x=2
Then,
5x-2 = 5(2)-2
= 10-2
=8
What is 2x - 4/2 = 11
Answer: 13/2
Step-by-step explanation:
Subtract the algebric expression 4a - 3ab + 1 from 6a - 5ab - 9b + 8.
Answer: 2a-2ab+7
Step-by-step explanation:
6a-5ab+8-(4a-3ab+1)=
6a-5ab+8-4a+3ab-1=
2a-2ab+7
Answer:
2a - 2ab - 9b + 7
Step-by-step explanation:
The step here is to collect the like terms available like this;
6a - 5ab - 9b + 8
- 4a - 3ab - 0 + 1
which is = 2a - 2ab - 9b + 7
Rocky finished a 200-meter race in 5/12 of a minute. The winner of the race used of Rocky's time to finish the race. How much time did the winner use to finish the race?
Please answer this and I'll give 30 points!
20 points can someone lmk the answer ty
Answer:
a c e
Step-by-step explanation:
How to solve this????
Answer:
3 x 2 5/6 y 7/6 x 8/3
^3 x
Step-by-step explanation:
what does X equal? 3/ax - 4 = 20
X=
Answer:
3/ax-4=20
first add 4 to both sides
3/ax=20+4
multiply by a/3
24a/3
so x=8a
Answer: 1/8a
Step-by-step explanation: add 4 to both sides first, which will give you 3/ax = 24. Now multiply both sides by ax/3 to get rid of the 3/ax, which will then give you 1 = 24 * ax/3, which equals to 1 = 24ax/3. This can be simplified further and you'll get 1 = 8ax. now divide both sides by 8a to isolate x, you will end up with 1/8a = x.
Find f(4)
if f(x) = -2x² + 4
====================================================
Work Shown:
[tex]f(\text{x}) = -2\text{x}^2+4\\\\f(4) = -2(4)^2+4\\\\f(4) = -2(16)+4\\\\f(4) = -32+4\\\\f(4) = -28\\\\[/tex]
Explanation:
Replace every x with 4. Then use the order of operations PEMDAS to simplify to a single number.
What are the key features of the function below
NEED TO ANSWER ASAP
The function is positive on (-4, -3), and (-1, 4),
the function is negative on (-3, -1),
the function increases on (-2, 2), and
the function decreases on (-4, -2) and (2, 4).
The key features of the function given in the graph are:
Positive intervalsNegative intervalsIncreasing intervalsDecreasing intervalsPositive intervals:
Here we need to say at which intervals the value of the graph is positive.
That is at which intervals the graph is above the x-axis.
It is clear from the graph that the function is positive on (-4, -3), and (-1, 4)
Negative intervals:
Here we need to say at which intervals the value of the graph is negative.
That is at which intervals the graph is below the x-axis.
It is clear from the graph that the function is negative on (-3, -1).
Increasing intervals:
Here we need to say at which intervals the value of the function increases.
That is at which intervals the graph goes upwards when the value of the x increases.
It is clear from the graph that the function increases on (-2, 2).
Decreasing intervals:
Here we need to say at which intervals the value of the function decreases.
That is at which intervals the graph goes downwards when the value of the x increases.
It is clear from the graph that the function decreases on (-4, -2) and (2, 4).
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what is the value of 125 ⅔ ?
Answer:125.666
Step-by-step explanation:
The angle below measures
__ degrees.
I need help asap!! (Geometry)
Answer:
Below
Step-by-step explanation:
Flower bed A
C = 2πr
C = 2π(5)
C = 2(5)π
C= 10π
A= πr²
A= π(5)²
A= π25
A= 25π
____________________________________________________
Flower bed B
C = 2πr
C = 2π(6)
C = 2(6)π
C = 12π
A = πr²
A = π(6)²
A = π36
A = 36π
Can someone please help with this
Answer:
a=57 degree
b = 24 degree
c = 39 degree
d = 60 degree
Step-by-step explanation:
angle a = YWX = YZX = 57
angle b = ZWY = ZXY = 24
angle c = WYX = WZX = 39
angle d = WYZ = WXZ = 60
20. The population of a town increased from 60,450 to 95,610 in one decade. What was the
relative change of the population?
(a) 58.2% (b) 36.8% (c) 158.2% (d) -36.8%
A. 58.2%
this is because
(95610-60450)/60450 =0.5816377171215 which rounds to 0.582 which is 58.2%
Answer:
A
Step-by-step explanation:
Change in population/ original number
[tex]\frac{95610 - 60450}{60450}[/tex] = [tex]\frac{35160}{60450}[/tex] = .58163771712 This is the answer as a decimal. Multiple this by 100 to get 58.2% increase rounded to the nearest tenth of a percent.
sal's sandwich shop sells wraps and sandwiches as part of its lunch specials. the profit on every sandwich is $2, and the profit on every wrap is $3. sal made a profit of $1,470 from lunch specials last month. the equation 2x 3y
(1) y-intercept is 490 and the slope is -2/3.
(2) First, plot the point(0,490). Then utilize the slope (-2/3) to compute the direction and angle the line moves.
(3) The function's equation is f(x) = (-2/3)x + 490.The graph depicts how many wraps could have been sold for each amount of sandwich sales in order to keep the same $1,470 revenue.
(4) The graph of the function is attached below.
(5) The profits have the same slope, but the y-intercept is greater than that of the previous month.
(6) The equation is y = (-2/3)x + 300.
(1) 2x + 3y = 14703y = -2x + 1470y = (-2/3)x + 490y = mx + cHence, the y-intercept is 490 and the slope is -2/3.(2) First, plot the point (0,490) and then utilize the slope -2/3 to compute the direction and angle the line moves.(3) The function's equation is f(x) = (-2/3)x + 490.The graph depicts how many wraps could have been sold for each amount of sandwich sales in order to keep the same $1,470 revenue.(4) The graph of the function is attached below.(5) 2x + 3y = 15933y = -2x + 1593y = (-2/3)x + 531y = mx + cThe profits have the same slope, but the y-intercept is greater than that of the previous month.(6) y-intercept is 300.slope = (0 - 300)/(450 - 0)slope = -2/3The equation is y = (-2/3)x + 300.To learn more about slope, visit :
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What is the slope of the line that passes through the points (−4,−6) and (1,−6)?
Please answer the two question in the photo [ Brainliest + points ]
Answer:
i think there both obtuse
a child puts $1.00 into a piggy bank. one week later, he puts $1.25 in the bank. two weeks later, he puts $1.50 in the bank, and so on. how much money does he put in the bank on the 25th week?
He puts 100$ in the bank on the 25th week.
What is a bank?An example of a financial institution that lends money is a bank, which both collects deposits from the public and creates demand deposits. Through the capital markets, the bank may engage in lending activities directly or indirectly.
Banks are heavily regulated in most countries because they are essential to the financial stability and economic health of a nation. The fractional reserve banking system, in which banks maintain liquid assets that are only partially comparable to their current liabilities, has been institutionalized in the majority of countries. In addition to other constraints intended to assure liquidity, banks are often subject to minimum capital requirements based on an international set of capital norms known as the Basel Accords.
Explanation:
First term([tex]a_{1}[/tex])= 1
Common difference= 1.25-1=0.25
[tex]a_{25}[/tex]=1+(25-1).25
=1+(24)(.25)
= 1+6
=7
[tex]S_{25}[/tex]=25/2 (1+7)
=25/2 (8)
=100
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Gary, the school chef, needs to make 40 tacos for every 15 students. How many tacos
would Gary need to prepare for 3 students?
Answer:
8 tacos
Step-by-step explanation:
40 tacos to 15 students
8 tacos to 3 students
15/3 =5, so divide 40 by 5 to get 8
how many significant digits are there in the number 2.25x10 using significant digits
Answer:
3
Step-by-step explanation:
2.25×10=22.5
If there is 0 in front of the number:eg(02.25) 0 does not count but it counts if it comes after nonzero digits.
April received a $75 gift card to the book store. she wants to purchase some books that cost $9 each. she also found a movie that cost $12. how many books (b) can she buy?
Answer:
Step-by-step explanation:
$75 gift card
$12 for movie
$9 for book
$75 - $12 = $63
$63 divided by $9 = 7
So she can by 7 books
The area of a square garden is 9 m2 . how long is each side of the garden
Answer:
A=9cm square
or,l square=9 cm square
or,l=3 cm.