The functions f(x) = 2x2 + 2 and g(x) = 2x+1 + 2 are graphed on the coordinate plane as shown.
32
24
16
8+000
0
1
2
For what values of x is g(x) > f(x)?
O A 0 < x < 2 and x > 4
OB. 2
C. X > 4
OD. X > 2
Answers
Answer:
Step-by-step explanation:
Given the functions f(x) = 2x^2 + 2 and g(x) = 2^x+1 + 2
If g(x) > f(x)
2^(x+1) + 2 > 2x^2 + 2
2^x*2 + 2 >2x^2 + 2
2^x*2 >2x^2
2^x > x^2
2^x - x^2 > 0
g(x) > f(x) over the interval 0 < x < 2 and x > 4.
What is a function?
A function is an expression that shows the relationship between two or more numbers and variables.
Given the function:
f(x) = 2x² + 2 and g(x) = 2ˣ ⁺ ¹ + 2
From the graph:
We can see that g(x) > f(x) over the interval 0 < x < 2 and x > 4.
Find out more on function at: https://brainly.com/question/25638609
Related Questions
please help with this question.
Answers
Answer:
5 feet, 3 inches
Step-by-step explanation:
set up a proportion based on corresponding sides, then solve by cross-multiplying:
h/7 = 3/4
4h = 21
h = 21/4
h = 5 1/4 which is 5 feet, 3 inches
3.5(10n + 2n - 9) = 178.5
Answers
Answer:
n= 5
Step-by-step explanation:
3.5 (10n + 2n-9) = 178.5
Divide 3.5 on both sides
10n + 2n -9 +51
Add like terms to get 12n
12n - 9 = 51
12n = 51 + 9
Add 51 and 9 to get 60
12n + 60
Divide 60 by 12 to get 5
n=5
In a 30° -60° -90° triangle, what is the length of the hypotenuse when the shorter leg is 8 m? Enter your answer in the box.
Answers
Answer:
16
Step-by-step explanation:
In a 30 60 90 degree triangle, the hypotenuse is always double the shorter leg. Hope this helps! :)
The hypotenuse of the 30-60-90 triangle whose shorter leg is 8 m is: 16 m.
What is the 30-60-90 Triangle?The 30-60-90 triangle is a right triangle whose hypotenuse length is always twice the length of the its shorter leg.
Given a 30-60-90 triangle whose shorter leg is 8 m long, therefore:
Hypotenuse of the 30-60-90 triangle = 2(length of the shorter leg)
Hypotenuse of the 30-60-90 triangle = 2(8)
Hypotenuse of the 30-60-90 triangle = 16 m.
Learn more about the 30-60-90 triangle one:
https://brainly.com/question/26097705
Solve the equation x/9 = 6
Answers
Answer: x=54
Step-by-step explanation:
Answer:
Step-by-step explanation:
The value of -4 5/8 - x is positive. What are two possible values of x?
Answers
Answer:
-6, -7
Step-by-step explanation:
basically
-4 5/8 - x >0
so
x< -4 5/8
you just need 2 values less than -4 5/8
like -6 and -7
The possible values of x could be x = -20 or x = -10 that satisfy the inequality.
Given: -4 5/8 - x > 0
To find two possible values of x that make the expression -4 5/8 - x positive, set up an equation and solve for x.
First, let's convert -4 5/8 to an improper fraction.
The improper fraction equivalent of -4 5/8 is -37/8.
So, -37/8 - x > 0
To isolate x, move -37/8 to the other side of the inequality by adding it to both sides:
x < -37/8
Now, Two possible values of x could be:
x = -20 or x = -10
Both of these values are less than -37/8, so they satisfy the inequality and make the expression -4 5/8 - x positive.
Learn more about Inequality here:
https://brainly.com/question/20383699
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please help 15 pointssssss
Which one is it
Answers
Answer:
D
Step-by-step explanation:
x = 8
5×8=40
40-6=34
34+57+89=180
angles of a triangle is equal to 180 degrees
Hope this helps
Kind Regards
Farah Syed
If 3g-5=37. find g?
i need this
Answers
Answer:
g = 14
Step-by-step explanation:
Using g = 14 we can do 14 x 3 to get 42. Then we can subtract 42 by 5 to get 37.
Answer:
g = 14
Step-by-step explanation:
3g - 5 = 37
+5 +5
3g = 42
3g/3 = 42/3
g = 14
In a film showing by the dramatic club, a ticket costs 50 pesos for members. What will be expression for non members if the ticket costs 5 pesos more than the members? Algebra.
Answers
Answer:
Expression represents this situation is 50+5 pesos.
Step-by-step explanation:
A ticket costs 50 pesos for a member of a club.
Non club member ticket cost is 5 pesos more than the member.
So, expression represents this is 50+5 pesos
Which expressions have an estimated quotient of 200? Select all that apply.
A 734 ÷ 6
B 803 ÷ 10
C 1990 ÷ 9
D 5280 ÷ 48
E 9795 ÷ 51
Answers
Answer:
E
Hope it helps!
The expressions have an estimated quotient of 200 are C 1990 ÷ 9 and E 9795 ÷ 51
What are the Quotients?Quotients are the number that is obtained by dividing one number by another number. We can use the fact that division can be taken as multiplication but with the denominator's multiplicative inverse.
We have been given that expressions as
A 734 ÷ 6
= 367/2
= 133.5
B 803 ÷ 10
= 80.3
C 1990 ÷ 9
= 221.1
D 5280 ÷ 48
= 110
E 9795 ÷ 51
= 192.05
Hence, the expressions have an estimated quotient of 200 are C 1990 ÷ 9 and E 9795 ÷ 51
Learn more about the quotient;
brainly.com/question/26913992
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Which of the following is most likely the next step in the series?
000
O A.
B.
O c.
D.
Answers
In a class of 30 students, 6 play an instrument and 17 play a sport. There are 9 students who do not play an instrument or a sport. What is the probability that a student chosen randomly from the class plays neither a sport nor an instrument?
Answers
A 25-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece, and the third piece is one inch more than five times the length of the first piece. Find the lengths of the pieces.
Answers
Answer:
3 inch 6 inch 16 inch 3+6+16 = 25
Step-by-step explanation:
First piesce = F
Second piece = 2F
third piece = 5F+1
F + (2F) + (5F+1) = 25
8F +1 = 25
subtract 1 om both sides
8F = 24
divide both sides by 8
F= 3
3X2= 6
3X5 +1 = 16
Workers inc just brought 14 boxes of pens to put in their storage. Each box contains 40 pens. If each of the 40 employees takes 2 pens how many will be left in the storage room?
Answers
Answer:
480
Step-by-step explanation:
The computation of the number of pens left in the storage room is shown below:
The total number of pens purchased is
= 14 boxes × 40 pens
= 560
ANd, the total pens take by the employee
= 40 employees × 2 pens
= 80
So, the remaining pens left is
= 540 - 80
= 480
Eric drove 804 miles in 12 hours. At the same rate, how many miles would he drive in 8 hours?
Answers
Answer:
Sorry, I can't help you with that :( I hope someone else can tho!
A line is perpendicular to y = 3x - 8
and intersects the point (6, 1).
What is the slope of this
perpendicular line?
A. 3
B. 1/3
C. -3
D. -1/3
Answers
Answer:
D) -1/3
Step-by-step explanation:
Perpendicular slope (m) = -1/3
Perpendicular slopes are negative recipricals so:
3 ---> -1/3
Ivan has a sticker collection. 2/5 of his stickers are scratch-and-sniff stickers. 1/4 of his scratch-and-sniff stickers smell like bananas. What fraction of Ivan's sticker collection smells like bananas? *
Answers
Answer:
1 / 10
Step-by-step explanation:
From the question :
Fraction of scratch and sniff sticker from total stickers = 2/5
1/4 of scratch and sniff stickers smell like banana :
Fraction of total stickers that smell like banana :
(Fraction of scratch and sniff sticker from total stickers) * (scratch and sniff stickers smell like banana)
= (2/5) * (1/4)
= 2 /20
= 1/10
A function f(x) has x-intercepts of -3 and -5. What is the constant term in the function?
f(x) = x2 + 8x +
Answers
Answer:
15
Step-by-step explanation:
The x-intercepts -3 and -5 are also "roots" of the polynomial. The corresponding factors are (x + 3) and (x + 5). Multiply the constants together: 3*5 = 15. This is the desired constant term.
Note that your f(x) = x2 + 8x + should be written f(x) = x^2 + 8x + ... The " ^ " denotes exponentiation.
Check: Multiply (x + 3) and (x + 5) together and compare the result to the given polynomial with constant term 15:
f(x) = (x + 3)(x + 5) = x^2 + 3x + 5x + 15 = x^2 + 8x + 15. This matches!
Answer:
Step-by-step explanation:
What is the constant change for the table ?
Answers
Answer:
$9 per 1 item
Step-by-step explanation:
Answer:
$9 per 1 item
Step-by-step explanation:
15 POINTS! DUE SOON!
Write the series using summation notation.
7 + 10 + 13 + 16 + 19
Answers
On a multiple-choice test, a student has four possible choices for each question. The student receives 1 point for a correct answer and loses ¼ point for an incorrect answer. If the student has no idea of the correct answer for a particular question and merely guesses, what is the student's expected gain or loss on the question? Suppose you were using an
Answers
Answer:
1 / 16
Step-by-step explanation:
Number of options = 4
Number of correct answers = 1
Number points gained for a correct answer = 1
Number of points lost for an incorrect answer = 1/4 = 0.25
Probability of choosing a correct option = 1/4
Probability of choosing an incorrect option = 3/4
x ____ 1 ______ - 1/4
P(x) __ 1/4 ______ 3/4
Expected gain or loss :
E(x) = Σx*p(x)
E(x) = (1 * 1/4) + (-1/4 * 3/4)
E(x) = 1/4 - 3/16
E(x) = (4 - 3) / 16
E(x) = 1 /16
A gain of 1/16
Find the area of the parallelogram.
15 cm
8 cm
[ ? ] square centimeters
Enter
Answers
Answer:
[tex]A = 120 \ cm^2[/tex]
Step-by-step explanation:
The formula to find the area of a parallelogram is the following,
[tex]A=(base)*(height)[/tex]
Substitute in the given values and solve,
[tex]A=(15)*(8)\\\\A = 120[/tex]
pls help me out what up
Answers
Answer:
Answers are below
Step-by-step explanation:
29. 3(4x-5) + 4(2x+6)
Solution: 20 + 9
30. -8(2a - 3b) - 5(6b - 4a)
Solution: 4 − 6
31. 10(5g + 2h - 3) - 4(3g - 4h + 2)
Solution: 38 + 36ℎ − 38
hope this helps :) Let me know if you need any further explanations.
Help with math question
Answers
Answer:
degree 4
terms 2 and 4
Step-by-step explanation:
hope this helps you out .
Hi, could someone quickly please help me?
1. The location of two hikers is marked on the topographic map to the right as points F and H. What is the elevation of the camper at point F?
2. Each hiker climbed to point G along the path indicated by the arrow. What was the change in elevation for the hiker that took the steepest path point G?
Answers
Answer:
740 m
Step-by-step explanation:
Answer:
2. elevation above sea level Contour lines run next to each other.
Please help! If you do you will get 'Brainliest'
Answers
Answer:
D is your answer.
Step-by-step explanation:
if you do 2 numbers to the right you get 3 and now the half would go in between 3 which would make your answer 3 and one half
Answer:
answer (-1) because from a if u minus 2 1/2 u get (-1)
what is the vertex of f(x)=x^2-9x+14
Answers
Its going to be a lot of steps
Step one
To complete the square, the same value needs to be added to both sides
f(x)+?=x^2 -9x+?+14
Step two
To complete the square add to the expression
x^2 -9 + 81/4= ( x- 9/2 ) ^2 add 81/4
To the expression
f(x)+?=x^2 -9+ 81/4 + 14
Step three
Since 81/4 was added to the right-hand side, also add 81/4 to the left-hand side
f(x)+81/4=x^2 -9x+81/4+14
Step four
Use a^2-2ab +b^2 = ( a-b)^2 to factor the expression
f(x)+81/4=(x-9/2)^2+14
Step five
Move the constant to the right-hand side and change its sign
f(x)=(x-9/2)^2 + 14- 81/4
Last step
Calculate the difference
F(x)=(x-9/2)^2 -25/4
That was to long
Karl:D
Suppose you draw a card from a well-shuffled deck of 52 cards. What is the probability of drawing a 7 or a queen?
Answers
Answer:
[tex]\frac{8}{52}[/tex] = 0.15384615384 = 15.38%
Step-by-step explanation:
There are 4 7 cards and 4 queen cards so,
[tex]\frac{4}{52}[/tex] + [tex]\frac{4}{52}[/tex] = [tex]\frac{8}{52}[/tex]
Hitoshi spends 30 minutes an history homework, 60 minutes on English homework, and x minutes on math homework, one fourth of his total homework time is spent on math which equation can be used to find the amount of time Hitoshi spends on his math homework
Answers
Which of these numbers is irrational?
Help plz due now will give brainliest
Answers
Answer:
√12 is irrational
Step-by-step explanation:
(a) Calculate 8% of £3.25.
Answers
Answer:
8÷100×3.25
=£0.26
hope it is helpful to you
Step-by-step explanation:
8÷100×3.25
=0.26
espero ter te ajudado