The answers will be:
(4, 5)remain constant and increaseg(x) exceeds the value of f(x)What is Slope and curve?a) The slope of the curve g(x) roughly matches that of f(x) at about x=4. Above that point, the curve g(x) is steeper than f(x), so its average rate of change will exceed that of f(x). An appropriate choice of interval is (4, 5).
b) As x increases, the slope of f(x) remains constant (equal to 4). The slope of g(x) keeps increasing as x increases. An appropriate choice of rate of change descriptors is (remain constant and increase).
c) The curves are not shown in the problem statement for x = 8. The graph below shows that g(x) has already exceeded f(x) by x=7. It remains higher than f(x) for all values of x more than that. We can also evaluate the functions to see which is greater:
f(8) = 4·8 +3 = 35
g(8) = (5/3)^8 ≈ 59.54 . . . . this is greater than 35
g(8) > f(8)
d) Realizing that an exponential function with a base greater than 1 will have increasing slope throughout its domain, it seems reasonable to speculate that it will always eventually exceed any linear function (or any polynomial function, for that matter).
To know more about Slope follow
https://brainly.com/question/3493733
1. (4,5)
2. remain constant and increase
3. g(x) exceeds the value of f(x)
4. eventually
Step-by-step explanation:
For their season opener, the freshman basketball team sold 90 tickets for a total of $334.
Adult tickets for the game cost $5 and student tickets cost $3. How many adult tickets
were sold ?
in a sale the normal price of a boat is 15%, the sale price of the boat is £272000, work out the normal price of the boat
Step-by-step explanation:
normal 100 part sale 15 part saple price 85 part
85/100 = 272000/normal price
normal price = 272000 × 100/85
= 320000
Answer:
312800
Step-by-step explanation:
You could do 272000 times 15% then add the discount price
which is 272000 + 40800 = 312800
If four out of ten people vote,how many will vote if there ate two hundred thousand people
(4 questions) Is 8km greater than 8000mm? Is 50km greater than 5000m? Is 10m greater than 100cm? (last one) Is 4mm greater than 40cm?
Answer:
1. 8000mm is the same as 8 metres. So 8km is greater than 8000mm
2. 5000m is the same as 5 km. So 50 km is greater than 5000m
3. 100cm is the same as 1 m. So 10m is greater than 100cm
4. 40 cm is the same as 400mm. So 4mm is less than 40cm.
Exponential growth/decay problem 1
Answer:
a) growth
b) $500
c) 6% = 0.06
d) [tex]f(x)=500(1.06)^x[/tex]
e) $595.51
Step-by-step explanation:
Part (a)
Exponential GROWTH, since interest is applied to the account each year.
Part (b)
Initial amount = $500
Part (c)
Growth factor = 6% = 0.06 (in decimal form)
Part (d)
General form of exponential growth function:
[tex]f(x)=a(1+r)^x[/tex]
where:
a = initial amountr = rate of growth (in decimal form)x = time (in years)Given:
a = 500r = 0.06[tex]\implies f(x)=500(1+0.06)^x[/tex]
[tex]\implies f(x)=500(1.06)^x[/tex]
Part (e)
when x = 3
[tex]\begin{aligned}\implies f(3) & =500(1.06)^3\\ & = 595.51\: \sf(nearest\:hundredth)\end{aligned}[/tex]
need help with the question
Answer:
14 pi
Step-by-step explanation:
Here,
Area = 49 pi
Pi r ^2 = 49 pi
r^2 = 49
r = 7m
Now,
Circumference = 2 pi r
=2*pi *7
=14 pi
Ty earns a base rate of $12 an hour and receives a weekly attendance award of $20. He works 40 hours this week. What would be his total compensation for the week
Ty total compensation for the week where he earns a base rate of $12 per hour and receive a weekly attendance award of $20 is $500.
What is rate ?Rate is the ratio between two related quantities in different units.
Therefore, he earn a base rate of $12 per hour and receives a weekly attendance award of $20.
If he works 40 hours a week, his compensation will be as follows:
let
y = total compensation
x = number of hours worked
Hence,
y = 12x + 20
y = 12(40) + 20
y = 480 + 20
y = $500
Therefore, Ty total compensation is $500.
learn more on rate here: https://brainly.com/question/7638620
If 2 dozens of eggs cost #300. How much will 5 eggs cost?
answer:62.5
a dozen=12 eggs
12× 2 eggs=300
5 eggs=x
cross multiply
24x=1500
thus x=62.5
After a heavy rainstorm, Barbara's dog left muddy paw prints all over her back patio. She decided to rent an electric
pressure washer to clean up the mess. The piecewise function below shows the rental charges for the pressure
washer, dependent upon how many hours she rents it. Due to high demand, you cannot rent the washer for more
than 24 hours at a time. Barbara's brother asked to use the washer and agreed to pay Barbara for any additional
monies owed.
(26,0
y= {26 + 5% - 4),4
60,8
If Barbara used the washer for 3 hours and her brother returned it to the store 7 hours after she rented it, how much
does her brother owe her?
$15.00
O $41.00
$60.00
$61.00
Answer:
$15.00
Step-by-step explanation:
Just did the quiz
By evaluating the piecewise function, we will see that the brother owes $15.
How much does her brother owe her?
The piecewise function is:
y = 26, if 0 < h < 4
y = 26 + 5*(h - 4), if 4 < h < 8
y = 60, if 8 < h
Barbara uses it for 3 hours, so we only need to use the first part for her, so she needs to pay $26.
Then the brother uses it for 4 hours (and we need to add the 3 hours that Barbara used it, so we have h = 7).
Then for the 7 hours the two brothers need to pay:
y = $26 + $5*(7 - 4) = $41
If we subtract the part that Barbara needs to pay we get.
$41 - $26 = $15
This means that the correct option is $15.
If you want to learn more about piecewise functions:
https://brainly.com/question/3628123
#SPJ2
HELP PLEASEEEEEEEE
Ashley's bus ride to school is 7/10 of a mile and Gavin's bus ride is 1/5 of a mile. How much longer is Ashley's bus ride than Gavin's?
The table below shows the gender and type of movies they prefer to watch.
What is the approximate probability that a person will be a female and prefer suspense movies?
Probability helps us to know the chances of an event occurring. The probability that a person will be a female and prefer suspense movies is 0.047.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
The total number of people who were surveyed are:
Total Number of people = 82 + 94 +18 + 46 + 48 + 91 = 379
Also, it is mentioned in the table that the number of females who prefers suspense movies is 18. Therefore, the probability that a person will be a female and prefer suspense movies will be,
[tex]\rm Probability = \dfrac{\text{Number of females who prefers suspense movies}}{\text{Total Number of people}}\\\\Probability = \dfrac{18}{379} = 0.047[/tex]
Hence, the probability that a person will be a female and prefer suspense movies is 0.047.
Learn more about Probability:
https://brainly.com/question/795909
#SPJ1
Urgent !!!
What does the absolute value of the correlation coefficient say about the predictions in part B? How do you know? Write an explanation of about one to two sentences
Part B attached
The line of best fit shows that Luther can expect the speed to be 51 miles/hour when he throws 80 pitches and 64 miles/hour when he throws 54 pitches.
How to calculate the speed?The average speed of Luther's pitches when he throws 80 pitches will be:
y = -0.511x + 91.636
= -0.511(80) + 91.636
= 50.756
= 51
Also, the number of pitches that Luther can throw when the speed is 64 miles per hour will be:
y = -0.511x + 91.638
64 = -0.511x + 91.638
0.511x = 91.638 - 64
0.511x = 27.636
x = 54
Therefore, the number of pitches will be 54.
Learn more about line of best fit on:
https://brainly.com/question/21241382
[tex]f(x) = 2^{x + 1} - 2^{x - 1} [/tex]
please help, we need to find the derivative, explain step by step
Note the derivative rule
[tex]\\ \boxed{\star\bf \dfrac{d}{dx}(x^n)=nx^{n-1}}[/tex]
Let's see
[tex]\\ \rm\Rrightarrow \dfrac{d}{dx}(2^{x+1}-2^{x-1})[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{d}{dx}2^{x+1}-\dfrac{d}{dx}2^{x-1}[/tex]
[tex]\\ \rm\Rrightarrow (x+1)2^{x+1-1}-(x-1)2^{x-1-1}[/tex]
[tex]\\ \rm\Rrightarrow (x+1)2^x-(x-1)2^{x-2}[/tex]
[tex]\\ \rm\Rrightarrow (x+1)2^x-(x-1)2^x/2^2[/tex]
[tex]\\ \rm\Rrightarrow (x+1)2^x-(x-1)2^x2^{-2}[/tex]
[tex]\\ \rm\Rrightarrow 2^x(x+1-(x-1)2^{-2})[/tex]
[tex]\\ \rm\Rrightarrow 2^x(x+1-x/4-1/4)[/tex]
which equation represents the line through (4, -6) (0, 2)
Answer:
[tex]y=-2x+2[/tex]
Step-by-step explanation:
Firstly we need to find the gradientWe can do this with [tex]\frac{\triangle y}{\triangle x}[/tex] ([tex]\frac{change\ in\ y}{change\ in\ x}[/tex])[tex]\frac{2--6}{0-4}[/tex][tex]\frac{8}{-4}=-2[/tex]So far we have [tex]y=-2x+c[/tex]Choose one of the pairs of coordinatesI’ll choose (0,2)[tex]2=c[/tex]So your equation is [tex]y=-2x+2[/tex]Answer:
y = -2x +2 I think
Step-by-step explanation:
A rectangular prism is 30 yards long, 29 yards wide, and 33 yards high. What is the surface
area of the rectangular prism?
square yards
Simplify:
-1 |2/3-4| divided by 5/6
Answer:
4
Step-by-step explanation:
[tex](-1 (\frac{2}{3} - 4)) / (5/6)[/tex]
Let's solve for the numerator first:
PEMDAS says parenthesis first so...
2/3 - 4, we'll turn 4 into an improper fraction so it's easier
2/3 - 12/3 = -10/3
-1(-10/3) = (+)10/3
Now, we replace this as the numerator:
(10/3) / (5/6)
To divide, we multiply the first fraction by the reciprocal of the second:
(10/3) * (6/5) = 60/15
now simplify.....
60/15 = 4 or in other words, {15 * 4 = 60}
So, the answer is 4!
Anna ordered a large pizza with 2 toppings. What was the total cost of her pizza? Show your equation and the total cost.
Answer: $15.49.
Step-by-step explanation: So far, her pizza already costs $13.99 because she chose large. However, she also ordered two toppings for $0.75 each, which is $1.50. We need to add $13.99 and $1.50 to find out the total cost of her custom pizza.
$13.99 + $1.50 = $15.49.
Therefore, the total cost of her pizza is $15.49.
Have a great day! :)
2. Cordasha is making her morning Starbucks run before school. She is buying
several coffees for her teachers. An Espresso costs $5.50 and a latte costs
$7.25. In total she spent $45.50 and bought a total of 7 types of coffees.
Write a system of equations that finds the amount of Espresso's and latte's
that Cordasha bought.
Answer:
x*5.5 + y* 7.25 = 45.5
x + y = 7
Step-by-step explanation:
every Espresso cost 5.5 => x*5.5
And the total cost is 45.5 so the sum should be 45.5
there are 7 coffees. means that the number of Espresso and latte is 7
Kyle competes in 100 m wheelchair races. Hel
calculates the information below using his last 4
race times.
His minimum race time was 19.8 s.
The range of his race times was 5.6 s.
The median of his race times was 23.8 s.
The mode of his race times was 25.4 s.
If Kyle includes a new race time of 25.7 s in his
calculations, how much will the mean change
by?
Answer:
0.5s
Step-by-step explanation:
His initial mean would be calculated by:
His minimum race time = 19.8s
The maximum race time = 19.8 + 5.6 = 25.4s
Since the mode is also 25.4, there are 2 25.4s races.
Since the median is 23.8s and the number of race times is even, the final race time can be calculated by:
25.4- 23.8s = 1.6s
23.8-1.6 = 22.2s
So the race times are 19.8s, 22.2s, 25.4s and 25.4s.
This means that his initial mean was (19.8+22.2+25.4+25.4)/4 = (42+50.8)/4= 92.8 /4 = 23.2s
With the new race time, the equation will change to (92.8+25.7)/(4+1)= 118.5/5= 23.7s
So the mean change would be 23.7 - 23.2 = 0.5 s.
Hope this helps!
Solve x: -7y=2x+xy+10y
Answer:
x = -17y/2+y
Step-by-step explanation:
Reorder the terms -7y = 2x + xy + 10y
Move the terms -7y = 2x + yx + 10y
Rewrite collect like terms -2x - yx = 10y + 7y
Divide both sides (-2 - y)x = 17y
simplify x = 17y/-2-y
Solution x = -17y/2+y
Have a good day <3
А,
D
B
63°C
E
F
m. What is the measure of ZDCE? Write and solve an equation or explain how you know.
Answer:
In Triangle FGH, m<F = 42 and an exterior angle at vertex H as a measure of 104. What is the measure of <G?
Step-by-step explanation:
Answer:
82 units
Step-by-step explanation:
look at the paper...
The cutoff point for the p-value area is called the:.
Answer:
It is called the test statistic
Step-by-step explanation:
Hope this helps:)...if not then sorry for wastign your time and may God bless you:)
Calculate the cost (omit commission) of buying the 500 shares of Delta Air at $50.61.
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The cost of 500 shares of Delta Air is $25,305.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
The cost of a single share is $50.61, therefore, the cost of 500 shares will be,
Cost of 500 shares = 500 × cost of single share
= 500 × $50.61
= $25,305
Hence, the cost of 500 shares of Delta Air is $25,305.
Learn more about Multiplication:
https://brainly.com/question/14059007
#SPJ1
b) Work out (7 x 10^5) x(9x 10^7)
Give your answer in standard form.
Answer:
3,500
Step-by-step explanation:
700,000/200
7,000/2
3,500
(2) Joshua needed to put 5 cookies in each gift box. He had 16 chocolate chip cookies and 19 oatmeal cookies. How many boxes could he fill with cookies?
Answer:
7 boxes
Step-by-step explanation:
16+19 is 35. divide 35 by 5 and you get 7 boxes
help me please ,this is my school work and i need help .
Answer:
2-5f ≤ 52, so -5f ≤ 50
f≥-10, because we flip the sign when multiplying or dividing by a neg number for inequalities.
Draw a closed circle on -10 and in the direction all the way towards the right arrow.
Solve the equation (x-2)(3x-1)=0
x=2
_______
x= [tex]\frac{1}{3}[/tex]
g True or false: For continuous random variables, the probability of being less than some value, x, IS NOT the same as the probability of being less than or equal to the same value, x. Group of answer choices True False
===========================================================
Explanation:
The given statement is claiming something like [tex]P(X < 2)[/tex] produces a different result compared to [tex]P(X \le 2)[/tex]. The subtle difference of course is the "or equal to".
When talking about continuous random variables, the two values are the same. Why? Because probability of selecting *exactly* X = 2 is going to be zero. Think of a very very thin strip of height P(X = 2) and the width is approaching zero. The width is doing this because we're trying to pinpoint X = 2 itself. As you can see, this skinny rectangle will have its area approach 0. Ultimately, whether we compute [tex]P(X < 2)[/tex] or [tex]P(X \le 2)[/tex], it doesn't matter. They both produce the same result.
If you are a visual learner, consider the standard normal distribution. Now consider the task if shading to the left of z = 2. This area describes both probabiltiies mentioned above.
If X is a continuous random variable, then [tex]P(X < 2) = P(X \le 2)[/tex] and we can change the "2" to any number we want to have the same outcome.
Therefore, the original claim is false.
-------------------------
Extra info:
Now if X was discrete (say from the binomial distribution), then the two probabilities would be different. This is because
[tex]P(X < 2) = P(0) + P(1)\\\\P(X \le 2) = P(0) + P(1) + P(2)\\\\P(X < 2) \ne P(X \le 2) \ \text{only if X is discrete}[/tex]
We can see in this case that the second line has P(2) while the first one does not.
So the original claim would be true if we changed "continuous" to "discrete".
solve: 3/5x +30 is ≥ 150
Answer: x>=200
Step-by-step explanation:
In the coordinate plane, what is the distance between the points (- 2, 3) and (4, 0) HELP
Answer:
Exact Form:
3√5
Decimal Form:
6.70820393
Step-by-step explanation:
Answer:
Distance = 3√5 or 6.708203932,,,
Step-by-step explanation:
Find the distance between the y-values and x-values which in this case would be 6 and 3. Use the Pythagorean theorem.
[tex]3^2 + 6^2 = 45[/tex]
Simplify.
[tex]\sqrt{45} = 3\sqrt{5}[/tex]