Function 2
+ 4x + 1
Function _
has the larger maximum.
(Put 1 or 2 in the blank space)
Answers
Answer:
Function 2 has larger max value.
Step-by-step explanation:
We know that the graph of Function 1 has the maximum value of 1 at x = 4 by looking at the graph.
But since we don't know what the maximum value of Function 2 is (Because Function 2 isn't given as a graph but rather an equation.) which means that we have to find the maximum value of Function 2.
[tex] \large{f(x) = - {x}^{2} + 4x + 1}[/tex]
It is not necessary to find x-value for a function because we want to know which function has larger maximum value. We will be using the formula below.
[tex] \large \boxed{y = \frac{4ac - {b}^{2} }{4a} }[/tex]
As you may know, a max-min value is indeed y-value. From Function 2, we know the value of a, b and c from standard form y = ax²+bx+c
Substitute our a, b and c in the formula.
[tex] \large{y = \frac{4( - 1)(1) - {(4)}^{2} }{4( - 1)} } \\ \large{y = \frac{ - 4 - 16}{ - 4} } \\ \large{y = \frac{ - 20}{ - 4} = 5}[/tex]
Since our maximum value or y-value is 5 for Function 2. Since we also know that Function 1 has 1 as maximum value and Function 2 has 5 as maximum value. Therefore, Function 2 has larger maximum value.
Related Questions
You randomly select 2 marbles from a mug containing 7 blue marbles, 3 red marbles, and 2 white marbles. How many times greater is the probability of selecting one blue marble and then one red marble when you do not replace the first marble before selecting the second marble than when you do replace the first marble before selecting the second marble? Express the answer as a fraction.
Answers
Answer:
Scenario 1: w/o replacement: P(blue, then red) = (7/12)(3/11) = 7/44
Scenario 2: w/ replacement: P(blue, then red) = (7/12)(3/12) = 7/48
Ratio of Probability #1 to Probability # 2 = 48/44 = 12/11, i.e. Prob # 1 is 1.0909... times Prob # 2
Step-by-step explanation:
Please help ASAP!!!! Which numbers are perfect squares? Check all that apply. A.20 B.40 C.64 D.4 E.49 F.48
Answers
Answer: 20 is not
40 is not
64 is
4 is
49 is
48 is not
Step-by-step explanation:
5. (07.02 MC) What is the value of y in the equation 2(2y - 16) = 0? (5 points) O 4 06 8 O O
Answers
Answer:
8 mate.
Step-by-step explanation:
heavy metal is pretty brilliant.
The associative property is applicable to: *
I. Addition and subtraction
II. Multiplication and division
III. Addition and Multiplication
IV. Subtraction and Division
Answers
Answer:
III. Addition and Multiplication
2/5•5/8
A-7/40
B-1/4
C-7/13
D-10/13
E-5/4
Answers
Answer:
b
Step-by-step explanation:
0.4 x 0.625=0.25
Answer:
the answer is B
Step-by-step explanation:
uhhhhhh it is simple mats
Find the area of each semicircle. Round to the nearest tenth. Use 3.14 for Pi. 1. Diameter = 9.4 mm 2. Radius = 3 1/2 ft 3. Radius =8 in
Answers
Answer:
34.68 mm^2
19.23 ft^2
100.48 in^2
Step-by-step explanation:
Area of a circle = 0.5 x nr^2
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
0.5 x (9.4/2)^2 x 3.14 = 34.68
0.5 x (3.5)^2 x 3.14 = 19.23 ft^2
0.5 x (8)^2 x 3.14 = 100.48 in^2
Options
2
-2
1
-1
PLEASEE HELP ME
Answers
Answer:
slope = - 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 8) and (x₂, y₂ ) = (6, 4)
m = [tex]\frac{4-8}{6-2}[/tex] = [tex]\frac{-4}{4}[/tex] = - 1
ASAP PLEASE
-WILL MARK BRIANIST
Answers
Answer:
D
Step-by-step explanation:
A. 9x9 = 81
B. 2x2x2x2x2 = 32
C. 10x10 = 100
D. 5x5x5x5 = 625
Answer:
5⁴ has the greatest value
Step-by-step explanation:
9² = 9 x 9 = 81
2⁵ = 2 x 2 x 2 x 2 x 2 = 32
10² = 10 x 10 = 100
5⁴ = 5 x 5 x 5 x 5 = 624
Therefore, 5⁴ has the greatest value!
Hope this helps!
HELP DUE IN 15 MINS!
x=??
Answers
Answer:
7
Step-by-step explanation:
Answer:
x = 6
Step-by-step explanation:
Use the Intersecting chord theorem;
Rule: (CE) * (EB) = (AE) * (ED)
CE = x
EB = 15
AE = 9
ED = 10
=> (x) (15) = (9) (10)
15x = 90
Now Divide each side with 15
=> x = 6
Hope this helps!
Find the slope of the line
A 4/3
B 3/4
C -4/3
D -3/4
Answers
Answer: B) 3/4
Step-by-step explanation:
Elise is investing 10,000 in an account that earns 2.25% simple interest. How many years will it take to have a balance of 12,700 in her account, if she does not add or withdraw from the account?
Answers
Answer:
12 years
Step-by-step explanation:
The formula to solve the above question i.e to find the time is given as:
Equation:
t = (1/r)(A/P - 1)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 2.25%/100 = 0.0225 per year,
then, solving our equation
t = (1/0.0225)((12700/10000) - 1) = 12
t = 12 years
Therefore, if she does not add or withdraw from the account, the time it
will take to have a balance of 12,700 in her account is 12 years
What is the area in square centimeters of the trapezoid below
Answers
Answer:
area = 1/2(a+b)h
a= 8.2 cm
b= 22.9 cm.
h= 9.8
therefore area = 77.91 sqcm
The area in square centimeters of the trapezoid below is 77.91 .
How to find the area of a trapezoid?The area of a trapezoid is the half of the product of sum of its parallel sides to the height of that trapezoid (the distance between those parallel sides).
Thus, if we have Length of its parallel sides = 'a' and 'b' units respectively
Perpendicular distance between its parallel sides = 'h' units,
Area = 1/2(a+b)h
a= 8.2 cm
b= 22.9 cm.
h= 9.8
Area = 1/2(8.2 + 22.9)9.8
therefore, area = 77.91 sqcm
Learn more about the area;
https://brainly.com/question/1658516
#SPJ2
The slope of the line below is -3. Which of the following is the point-slope
form of the line?
10
- 10
10
(2.-6)
- 10
Answers
Below is the method I used and the formula
2. Which equation could be used to find the length of line segment (NM)?
Hint: Use Sin when given the hypotenuse. Use Tan when given a leg.
21
N
20
A. (21) Tan (20°) = line segment (NM)
B.(21) Sin (20°) = line segment (NM)
Answers
Diagram isnt given. However, a picture illustribg the possible scenarios has been attached to help.
Answer:
KINDLY CHECK EXPLANATION
Step-by-step explanation:
Given the triangles A and B below :
Using trigonometric ratios :
If triangle A is given ;
Then ; MN will be obtained using the SIN relation :
Sin 20 = opposite (MN) / hypotenus (21)
If triangle B is given ;
Then ; MN will be obtained using the TAN relation :
Tan 20 = opposite (MN) / Adjacent (21)
What is the midpoint of the segment shown below?
10
O A. (-1,-1)
(-11,0)
- 10
10
O B. (-1,-2)
O C. (-2, -1)
(9,-1)
- 10
OD. (-2,-1)
Answers
Question 1
5 pts
Samuel has 9 homework assignments due this week, and
he needs to finish 2 of them before his friend comes over
this afternoon. In how many orders can he pick out and
complete 2 of the assignments?
orders
Answers
Answer:
67
Step-by-step explanation:
Answer:
67
Step-by-step explanation
Please help me hurry!! 7
Answers
Answer:
option 1
Step-by-step explanation:
Using the recursive formula and a₁ = 6 , then
a₂ = 3 + 2a₁²
= 3 + 2 × 6² = 3 + 2 × 36 = 3 + 72 = 75
The surface area of a three-dimensional object is:
A. The total length of its edges incorrect answer
B. The area of one of its faces incorrect answer
C. The total area of its outer surface incorrect answer
D. The amount of space inside
Answers
Answer:
c
Step-by-step explanation:
The total surface area of a 3-dimensional object is the sum of the areas of the faces or surfaces of a 3 dimensional object
for example, the total surface area of a cube is the sum of the area of all the six faces
the total surface area of a cube = 6a²
where a = edge
if a = 6
total surface area
6(6²) = 216
Write the equation for a radical function that has been flipped left and shifted down 1.
Answers
Answer:
[tex]g(x)=\sqrt{-x}-1[/tex]
Step-by-step explanation:
Let's use the parent function [tex]f(x)=\sqrt{x}[/tex] as an example
Because we are flipping the radical function left, this means [tex]f(x)=\sqrt{-x}[/tex]
Because we are shifting down 1 unit vertically, we have [tex]g(x)=\sqrt{-x}-1[/tex]
Therefore, the final function is [tex]g(x)=\sqrt{-x}-1[/tex]
find the value of x 9 and 5
I don't know if I chose the correct answer can someone help please
Answers
Answer:
your correct its 56
Step-by-step explanation:
In how many different ways can seven children line up in one row to have their picture taken?
7
49
2,520
5,040
NO LINKS OR FILES, JUST THE CORRECT ANSWER AND I WILL GIVE BRAINLIEST
Answers
Answer:
5,040!
Step-by-step explanation:
I know you said it below, don't think im copying i'm just putting it here so other people can see it more easily!
Anyways have a lovely Day/night and goodluck on your studies!! <3
Someone plz answer this o need it done
Answers
please give brainliest if helped :)
Determine the distance from point A to line j.
A) 2 units
B) 3 units
C) 5 units
D) 10 units
Answers
Answer:
D 10 units hhhttttttttttggffcccfgg
Answer:
My other answer was deleted for some reason
Step-by-step explanation:
A warren of rabbits has a population of 25. The population is increasing at a rate of 20% per year. How can you write an exponential growth function to find the monthly growth rate?
Answers
Answer:
f(x)= 25(1 + 0.20)^t
Step-by-step explanation:
The formula- f(x)= a(1+r)^x
a= initial amount (25)
r= growth rate (20%... 0.20)
x= # of times (we don't have that in here)
When you plug in the values, you get
f(x)= 25(1 + 0.20)[tex]{t}[/tex]
hope this helps!!
can someone help it would be very helpful
Answers
Answer:
Use formula
area of trapezium=(a+b)/2×h
Step-by-step explanation:
1)
area of trapezium=(a+b)2×j
(8×4)/2×696in²as this u can calculate all of yr areas.
stay safe healthy and happy.Will mark brainlist if correct. SIN (C)=
Answers
Answer:
sinc C = 24/25
Step-by-step explanation:
sin is opposite side/hypotenuse
sinc C = 24/25
You need to memorize the definitions of all the trig functions and these types of problems will be really easy.
Answer:
24/25
Step-by-step explanation:
hope helpful have a great day
what's the best movie ever?
Answers
Answer: Most views mayber black panther
Step-by-step explanation:
Pleas help and add explanation!
Answers
Step-by-step explanation:
I can't see the choices but it would be something like
y= -1/5x + ...
explanation: a perpendicular line would have a negative reciprocol slope.
Samantha measures the perimeter of a common shape.
One of the sides is 6 inches long, and the perimeter is 24 inches.
If all of the sides are the same length, what shape does Samantha measure?
Answers
Answer:
Square
Step-by-step explanation:
24÷6
=4
Squares have 4 sides
Alex had 806 dinosaurs. There were 102 Velociraptors, 243 Tyrannosauruses, and the rest were Brontosauruses. There were twice as many eggs as dinosaurs. How many eggs does Alex have?
Answers
Answer: 1,612 eggs
Step-by-step explanation:
Alex has a total of 806 dinosaurs. He also has twice as many eggs as he does dinosaurs.
The number of eggs is therefore:
= Number of dinosaurs * 2
= 806 * 2
= 1,612 eggs