David concludes that 7x^2will always output larger values than 2^x for the same value of x. Do you agree? Explain your reasoning.
Answers
Answer: False. One counter example is when x = 10.
When x = 10, we have
7x^2 = 7*10^2 = 7*100 = 700
2^x = 2^100 = 1.27 * 10^30
The result of 2^x is much larger than 700. The result is so large that we must use scientific notation to be able to fit it on the page. We could write out all the digits, but we would need 30 or more digits.
As a visual to see that 2^x will be larger at some point, I recommend graphing y = 7x^2 and y = 2^x together on the same xy grid. See the graph below. The two curves intersect at point A, which is roughly when x = 9.22; anything beyond this x value will have 2^x be larger than 7x^2.
Related Questions
angle
1. Classify the following triangles according to their (1) sides and (ii) angles,
(fig 1) A=8cm b=5cm c=8cm
Answers
Answer:
Isosceles triangle
Step-by-step explanation:
The given sides of a triangle are 8 cm, 5 cm and 8 cm.
We need to say that the type of triangle.
The two sides of a triangle are same i.e. 8 cm and the other side is 5 cm.
Such type of triangle in which two sides are equal, the triangle is isosceles. Here, two sides are 8 cm and the third one is 5 cm. It means the triangle is an isosceles triangle.
Pls help due by 12:00 I’ll brainlest
Answers
Answer: 7n - (4n -3)
Step-by-step explanation:
At the bowling alley, there are 25 people bowling. There is a 60% increase in bowlers the next night. How many people are bowling on the second night?
Answers
Answer:
There would be 40 people bowling on the second night.
Step-by-step explanation:
25 x .60 = 15
60% of 25 is 15.
25 + 15 = 40
Answer:
40
Step-by-step explanation:
What is the best estimate for 82% of 503?
Answers
Which of the following numbers
is a solution to this inequality?
14x > 36
3
2.
Answers
Answer:
[tex]x=\frac{18}{7}[/tex]
Step-by-step explanation:
what is
14/24 plus 10/36
Answers
Answer:
31/ 36
Step-by-step explanation:
21 + 10/ 36
= 31/ 36
hope it helps!
Malachy, Sushil and Fiona share some sweets in the ratio 7:1:1. Malachy gets 90 more sweets than Fiona. How many sweets does Sushil get?
Answers
Answer:
15
Step-by-step explanation:
Fiona (F) = Sushi (S)
Malachy (M) = 7 Fiona (F)
M = F + 90
F + 90 = 7F
6F = 90
F (Fiona) = 15
S (Sushi) = 15
check: Malachy (M) = 15 * 7 = 105
M-F = 105 - 15 = 90
Need help please!!! it’s important
Answers
Answer:
4/D a reflection fallowed by a rotation.
sorry if I am wrong
-2(7-15)
What is the value of
?
4
O 4
0 -2
O 2
O 4
Answers
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y=-16x^2+116x+75
Answers
Answer:
7.85
Step-by-step explanation:
the other guy is incorrect,
What is mzA? Enter your answer as only a number
Answers
Answer:
A = 25
B = 65
Step-by-step explanation:
Remark
I hope you mean what is the size of <A? If not leave a note. If I am correct than A and C are complementary (equal 90o) since B is a right angle.
Solution
2x + 1 + 5x + 5= 90 Combine like terms
7x + 6 = 90 Subtract 6 from both sides
7x = 90-6
7x = 84 Divide by 7
x = 84/7
x = 12
==========================
Now that is not quite the answer.
A = 2x + 1
A = 2*12 + 1
A = 25
B = 5x + 5
B = 5*12 + 5
B = 60 + 5
B = 65
On a number line, the surface of a river is marked at −220 feet and the top of a building is marked at +19 feet, where 0 represents sea level. What do −220 and +19 represent?
220 feet below sea level and 19 feet above sea level
220 feet above sea level and 19 feet below sea level
220 feet below sea level and 19 feet above 220
220 feet above sea level and 19 feet below 220
Answers
Answer:
A
Step-by-step explanation:
0 is sea lvl so just add and subsubtract
Answer:
A
Step-by-step explanation:
its A bc it said -220 witch is negative so that means ill be below sea level and +14 is a positive number so that will be above sea level.
Hope that helps!
~Emma~
What is 151% of 70.Please explain how u did it.
Answers
Answer:105.7
Step-by-step explanation: 1.51 times 70
Answer:
[tex]151\% \: of \: 70 \\ \frac{151}{100} \times 70 \\ \boxed{105.7}[/tex]
105.7 is the right answer.F(x)=1/2x+4 and g(x)=−8f(x). What equation shows the correct rule for the function g? A. g(x)=−8x−32. B. g(x)=−4x+4. C. g(x)=−4x−32
Answers
Answer:
f(x)=1/2x+4.
Step-by-step explanation:
You have 7 cups of raisins. A recipe calls for 2/3
cup of raisins per serving. How many full servings can you make?
Answers
Answer:
10 servings
Step-by-step explanation
7 cups is equal to 21/3 cups. Since 21 isnt divisible by 2, you have to round down to the nearest divisible number, which would be 20. 20/2 is 10, so 10 is the answer.
The discount price of a hat is $24 whats the regular price if the discount is 20%
Answers
Answer:
30
Step-by-step explanation:
discounting by 20% is the same as marking to 80% of the original cost. 80% = .8
set up equation and solve
.8x=24
x=30
Find the area of a circle with a diameter of \color{green}{16}16start color green, 16, end color green.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.
units^2
2
Answers
Answer:
64π
Step-by-step explanation:
no
Which distance is greater 2000m or 1km 571m
Answers
Answer: 2000m
Step-by-step explanation:
1km = 1000 m
1000 + 571 = 1571m
2000m > 1571m
please i need help:/
Answers
Answer:
It is 37%.
The formula for calculating your credit utilization ratio is pretty straightforward. To figure it out for an individual card, divide your credit card balance by your available credit line.
What you you do is divide the credit card ratio for each one.
For the first card: $2,397 (total on card) divided by 16,000, (the limit) is 0.149, we round that to 0.15. (15%)
For the second card: $1,218 (total on card) divided by 5,500 (the limit) which is 0.221. We round that to 0.22. (22%)
The question asks for the OVERALL, and that means to add. 22+15=37.
what is the distance from eric bus stop to school
Answers
Answer:
what
Step-by-step explanation:
We need the Math things tho lol
what is the answer to 3(x-4)=12 in simplest form ?
Answers
Answer:
x = 8
Step-by-step explanation:
You distribute the 3 to x and -4.
[tex]3x-12=12[/tex]
You add 12 to both sides.
[tex]3x=24[/tex]
Then you divide by three on both sides.
[tex]\frac{3x}{3}=\frac{24}{3}\\[/tex]
[tex]x=8[/tex]
A student takes 25 minutes to solve 10 math problems in class if the student solve similar problems at the same rate how many minutes will it take the student to solve 12 math problems
Answers
Answer:
The answer would be 30 minutes
Step-by-step explanation:
Find how many ties 12 can go into 10. (Divide 12 divided by 10=1.2)
Multiply 25 times 1.2 (30)
Your answer would be 30 minutes
Hope I helped!! :)
Sorry if it's wrong! :(
Pls mark brainliest!!!
Find whole numbers a,b,c so that
Answers
Answer:
Step-by-step explanation:
I can't give answer you by step to step cause I can't make any symbols through my computer.
Hello! :)
Please help me solve this + explain your answer :)
I will indeed give you Brainlst <3
Answers
Answer:
A
Step-by-step explanation:
The two triangles are congruent because if each triangle's angles add up 180 degrees, you can deduce that the triangles have atleast two congruent angles.
Triangle RST:
48 + 73 = 121
180 - 121 = 59
Angle R = 59
Angle T = 48
Angle S = 73
59 + 48 + 73 = 180
Triangle ABC:
73 + 59 = 132
180 - 132 = 48
Angle A = 59
Angle B = 73
Angle C = 48
59 + 48 + 73 = 180
PLEASE HELP ASAP!!!!
Answers
If 10 percent of a number equals 30, find 40 percent of that number.
Answers
To find the whole number given the fraction and the number by the fraction, you multiply the number by the reciprocal/inverse of the fraction.
30 * 100/10= 300
So the whole number is 300 and to find 40% just multiply
300 * 40/100 = 120
:D
the ratio of boys to girls in a class is 4:5 what frqction if the class are boys
Answers
Answer:
4/9 to 5/9
Step-by-step explanation:
So, out of every 9 students, 4 are boys. Therefore, 4/9 of the students are boys. The ratio of boys to girls is 4:5. So let 4x be the number of boys and 5x be the number of girls.
Many families in California are using backyard structures for home offices, art studios, and hobby areas as well as for additional storage. Suppose that the mean price for a customized wooden, shingled backyard structure is $3,200. Assume that the standard deviation is $1,200. (a) What is the z-score for a backyard structure costing $2,300
Answers
Answer:
-0.75
Step-by-step explanation:
To get the z score we have to use this formula
Z = X-mean/standard deviation
X = 2300
Mean = 3200
The standard deviation = 1200
When we plug these values into the z formula above, we have:
2300-3200/1200
= -900/1200
= -0.75
the z-score for a backyard structure costing $2,300 is therefore -0.75
Percy bought an encyclopedia pried at $13.85 shipping and handing cost an additional 20 percent of the price
Answers
Answer:
Percy spent $2.77 for shipping and handling.
Step-by-step explanation:
2.77 is 20 percent of 13.85
Alaina went to the pet store to buy fish for her new 14-gallon fish tank. Each large fish costs $8 and requires 2 gallons
of water. Each small fish costs $3 and requires 0.5 gallon of water. She has $70 to spend on fish at the pet store. Circle
the combination of large and small fish can Alaina purchase for her fish tank?
Answers
Answer:
Small fish= 7
Big fish= 21/4 (so she'll get 5 big fish)
Step-by-step explanation:
With the problem, there are two equations, one for the cost, and one for the amount of water. For the first equation, Alaina can spend 70 dollars and the fish cost 8 and 3 dollars so the equation is 70=8b+4s (s for small and b for big). Then for the second equation there are 14 available gallons and the fish require 2 and .5 gallons so 14=2b+0.5s. Then you just solve the system of equations.