Answer:
The average rate of change in that interval is 1.99
Step-by-step explanation:
Here we have that the difference quotient for g(x) is:
[tex]\frac{6^{x + h} - 3 - 6^x + 3}{h}[/tex]
Remember that for a general function f(x), the difference quotient is:
[tex]\frac{f(x + h) - f(x)}{h}[/tex]
So if we look at the difference quotient for g(x), we can conclude that:
[tex]g(x) = 6^x - 3[/tex]
Also remember that the average rate of change in an interval (a, b) is just:
[tex]\frac{g(b) - g(a)}{b - a}[/tex]
So here we want the average rate of change of g(x) in the interval from x = -2 to x = 1, this is:
[tex]R = \frac{(6^1 - 3) - (6^{-2} - 3)}{1 - (-2)} = \frac{6 - 6^{-2}}{3} = 1.99[/tex]
The average rate of change in that interval is 1.99
Think of 5 positive integers that have a mode of 4, a median of 6, a mean of 7 and a range of 10.
Answer:
6 6 6 6 11
Step-by-step explanation:
The median is the middle number
the mode is the number of items, usually the number that are the same.
the mean is the average
the range is the number between the smallest and the largest.
So the information you have makes 4 of the 5 numbers the same.
The middle number is 6. This is an interesting fact because it means that 4 of the five numbers are 6
x 6 6 6 6 or 6 6 6 6 x is what you know so far.
The range is a bit of a devil. And so is the mean. We need the mean to be related to 5*7 = 35. So the sum of the five numbers equals 35. The range would have to be 5, I think. (35 - 4*6) = 11
The difference between 11 and 6 = 5
So 11 works for everything but the range.
If the range must be ten, then x = 16 but then the mean = 8 and 7 is incorrect
So I can get 3 out of 4, but not them all.
which type of conic section is represented by the equation y = (x-10)^2 - 5?
Answer:
That's a parabola
explanation:
You are told to make a new image with a scale factor of 1 or 100%. How would the new image look
compared to the original?
Answer:
the size would remain the same
Step-by-step explanation:
100% of something means nothing has decreased or increased, no changes to original
A train covers a dictance of 820KM in 8 hours. How much distance will ir cover in 1 hour?
Answer:
102.5 km
Step-by-step explanation:
820km/8 hours=102.5 km
contrast how to graph x=2 and y=-4
Answer:
First of all, the x axis goes left to right while the y axis goes up to down.
Step-by-step explanation:
At a local restaurant, the amount of time that customers have to wait for their food is
normally distributed with a mean of 34 minutes and a standard deviation of 2
minutes. If you visit that restaurant 26 times this year, what is the expected number
of times that you would expect to wait longer than 38 minutes, to the nearest whole
number?
Solve the system by substitution.
- 2x – 10y = -2
-4y = x
Answer:
x = -4 and y = 1
Step-by-step explanation:
hope this helps please like and mark as brainliest
Help please, I need it due today and urgently.
Answer:
Step-by-step explanation:
James is one meter and 63 centimeters OR what your teacher likely wants
James is one and sixty-three hundreths meters tall
Ani is wrong
4 and 8 hundreths means 4.08
4.8 would be 4 and 8 tenths
Identifying integers
Which of the following are true statements? Select all that apply
Answer:
what are the options...
Step-by-step explanation:
Choose an equation of a line through the point (1,-1) parallel to y=−3x+4.
Answer:
y=-3x-1(4+1) I hoped this helped if not I am sorry I did the BPEMDAS
pls help
me with this plsssssssssssssssssssssssssssssssssss
Step-by-step explanation:
take the picture and attach with this file
On a coordinate plane, triangle A B C has points (negative 2, negative 1), (negative 2, negative 3), (negative 5, negative 1). Triangle ABC is translated 6 units to the right and 1 units up. What are the coordinates of C'? C'(4, –2) C'(4, –0) C'(4, 2) C'(1, 2)
Answer:
The answer is A
Step-by-step explanation:
C’(4, –2)
The coordinates of C' are (1, 0)
What is translation?A translation moves a shape up, down or from side to side, but it does not change its appearance in any other way.
Given that, On a coordinate plane, triangle A B C has points (-2, -1), (-2, -3), (-5, -1).
When Triangle ABC is translated 6 units to the right and 1 units up.
We know that rule for translating b unit up and a unit right is
(x, y) → (x+a, y+b)
Hence, the coordinates for C' =
(-5, -1) = (-5+6, -1+1) = (1, 0)
Hence, the coordinates of C' are (1, 0)
For more references on translation, click;
https://brainly.com/question/12463306
#SPJ6
Please can someone solve some questions on similar triangles ASAP.
Answer:
post the question i can do it
Step-by-step explanation:
In MNO, The Measure of <0= 90°, NM = 17, MO= 15, and ON= 8. What ratio represents the tangent of
Answer:
Step-by-step explanation:
tanN = MO/ON = 15/8
N = about 61,9 it’s 62 degree
Answer: 15/8
Step-by-step explanation:
Solve for x and state the measure of the angles with an x in them
Answer:
x = 83
Step-by-step explanation:
The sum of the angles of a quadrilateral is 360
75+x+97+105 = 360
Combine like terms
x+277=360
Subtract 277 from each side
x+277-277=360-277
x = 83
Profit is the difference between revenue and cost. The revenue, in dollars, of a company that manufactures cell phones can be modeled by the polynomial 2x2 + 55x + 10. The cost, in dollars, of producing the cell phones can be modeled by 2x2 – 15x – 40. The variable x represents the number of cell phones sold.
What expression represents the profit, and what is the profit if 240 cell phones are sold?
40x – 30; $2,400
40x – 30; $9,570
70x + 50; $16, 850
70x + 50; $28,800
Answer:
C
Step-by-step explanation:
Given that the equation of the revenue is R=2x2+55x+10 and the equation of the cost is C=2x2 – 15x – 40, you will get the profit by subtracting the revenue from the cost: R-C=P. Therefore, P=(2x2+55x+10)-(2x2 – 15x – 40). You will get P=70x+50 where x is is the number of cellphones sold. If 240 cellphones are sold, then the profit is 16850 dollars.
The profit, if 240 cell phones are sold, is $16,850.
Profit = 70x + 50
Option C is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example: so
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
The profit, in dollars, can be found by subtracting the cost from the revenue:
Profit = Revenue - Cost
= (2x² + 55x + 10) - (2x² - 15x - 40)
= 70x + 50
The expression for profit is 70x + 50.
To find the profit if 240 cell phones are sold, we substitute x = 240 into the expression for profit:
Profit = 70x + 50
= 70(240) + 50
= 16,850
Therefore,
The profit, if 240 cell phones are sold, is $16,850.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ5
HELP WOULD BE MUCH APPRECIATED
Answer:
the trapezoid will go on the side where it states "will have no pair of parallel sides"
Answer:
A trapezoid has at least one pair of parallel sides.
Step-by-step explanation:
Solve these
[tex] {x}^{2} - 5x + 6[/tex]
[tex] {x}^{2} - 11x + 28[/tex]
Answer:
hope this will help you more
Answer:
[tex]x^2-5x+6[/tex]
x = 3, x = 2
[tex]x^2-11x+28[/tex]
x = 7, x = 4
Step-by-step explanation:
One is asked to solve two quadratic equations. Both of these quadratic equations are in standard form. This means that the two equations follow the following general format;
[tex]ax^2+bx+c[/tex]
The quadratic formula is a method of solving a quadratic equation using the coefficients of the terms in the equation. The quadratic equation is the following,
[tex]\frac{-b(+-)\sqrt{b^2-4ac}}{2a}[/tex]
Substitute in each of the terms and solve for the roots in each equation;
[tex]x^2-5x+6[/tex]
Substitute, and solve
[tex]\frac{-(-5)(+-)\sqrt{(-5)^2-4(1)(6)}}{2(1)}\\\\=\frac{5(+-)\sqrt{25-25}}{2}[/tex]
[tex]=\frac{5+1}{2}[/tex] [tex]=\frac{5-1}{2}[/tex]
[tex]=3[/tex] [tex]=2[/tex]
[tex]x^2-11x+28[/tex]
Substitute, and solve
[tex]\frac{-(-11)(+-)\sqrt{(-11)^2-4(1)(28)}}{2(1)}\\=\frac{11(+-)\sqrt{121-112}}{2}[/tex]
[tex]=\frac{11+\sqrt{9}}{2}[/tex] [tex]=\frac{11-\sqrt{9}}{2}[/tex]
[tex]=\frac{11+3}{2}[/tex] [tex]=\frac{11-3}{2}[/tex]
[tex]=7[/tex] [tex]=4[/tex]
A scientist determines that an antibiotic reduces a population of 20,000 bacteria to 5,000 in 24 hours. Find
the rate of decline caused by the antibiotic.
Answer:
5.8%
Step-by-step explanation:
H= 1/r (in P - in A)
H=24
P=2000
A=5000
24= 1/r (in2000 - in5000)
24r = in 2000 - in 5000
r = in 2000 - in 5000
_________________
24 r
= 05 .7762265
= 5.8 %
lf R(x) = x2 – 3x – 1, find R(-2).
a.9
b.-9
c.-3
d.-11
Answer:
A.
Step-by-step explanation:
If R(-2), then x = -2. Just plug in -2 for x. -2^2 - 3(-2) - 1 = 4 + 6 - 1 = 10 - 1 = 9. The answer is 9.
Jessica is 8 years old. Kayla is 6 years younger than twice Jessica’s age. Which expression represents Kayla’s age?
A. (8*6)-2
B. ( 8*2) -6
C. 8*(6-2)
D. 8* (2-6)
Answer:
B
We find twice Jessica’s age and then subtract 6 since she is 6 years younger than that.
Answer:
B. (8*2) -6
Step-by-step explanation:
Since Jessica is 8, and Kayla is 6 years younger than twice (doubled) Jessica's age, this means that Kayla is 6 years younger than 16. Therefore the equation would be (8*2)-6.
Which shows the front view of the figure shown?
The front view of the figure is figure A.
What is the difference between normal surfaces and hidden lines?Normal surfaces exist surfaces that stand at 90° to each other.
Hidden lines exist utilized to display surfaces that stand not directly visible. All surfaces must be displayed in all sights. If an edge or surface exists obstructed from sight by another feature, it stands drawn utilizing a hidden line.
The front view of the figure is figure A.
Therefore, the correct answer is option A.
To learn more about normal surfaces
https://brainly.com/question/27353408
#SPJ2
Which is the solution to the inaquality y+15<3
Answer:
y < - 12
Step-by-step explanation:
Given
y + 15 < 3 ( subtract 15 from both sides )
y < - 12
A cell phone company wants to determine the average amount of data that their smart phone customers use each month. Which group would best represent a sample of the population?
one thousand of their customers with the most expensive monthly plans
one thousand of their customers who most recently signed up with the company
one thousand of their customers with a current smart phone data plan
one thousand of their customers who called in for technical support
The group that best represents a sample of the population is one thousand of their customers with a current smart phone data plan.
What is the appropriate sample of the population?
A sample is a smaller representative group of the population. A sample is used as it might not be feasible or cost effective to access the whole population.
The appropraite sample should be representative of the whole population of customers.
To learn more about sample, please check: https://brainly.com/question/18521835
The group that would best represent a sample of the population is given by: Option C: one thousand of their customers with a current smart phone data plan.
Why do we do sampling?We do sampling so that we don't have to work on entire population of items but only on that sample in a way that we can predict information about population.
Most of the times, it isn't possible in real world to work on entire populations. Samples come out for rescue by assumptions that they will have some properties of the population pertained in them.
Thus, the sample should be taken out such that it includes data of the population as much as it can in unbiased way so as to imitate population. (assuming that we want the sample to contain the summary of the population).
We've to collect sample in such a way that we can get a widespread view of the population (all customers). We want to do sampling for getting the average amount of data that their smart phone customers use each month.
Option A, B and D are choosing those customers, which are like a special part of the customers, and not an overall coverage of the customer the cell phone company has.
But option C covers assumingly all sorts of customers who use internet data.
Thus, the group that would best represent a sample of the is given by: Option C: one thousand of their customers with a current smart phone data plan
Learn more about sampling here:
brainly.com/question/9724150
#SPJ5
Hi can anyone help me with this Q ? It’s for my final. I would appreciate it a lot !!
-
The angle of elevation from a boat to the top of a 125ft hotel is 22°
How far is the boat from the base of the hotel ? ( round to the nearest TENTH )
Answer: B
Step-by-step explanation:
Bc said so
Find the slope of a line parallel to 3x – y = 1.
A. –3
B. 3
C. one third
D. negative one third
Answer:
m =3
Step-by-step explanation:
3x – y = 1
First put the line in slope intercept form
y = mx+b where m is the slope and b is the y intercept
-y = -3x+1
y = 3x-1
The slope is 3
We want a line parallel, which means the lines have the same slope
m =3
Name the angle relationship between a and b
Answer:
∠a=∠b
Step-by-step explanation:
Alternate exterior angles are congruent
Simplify -|-7 + 4|. please helppppp
Answer: -3
Step-by-step explanation:
-l-7+4l = -l-3l = - 3
ll means anything inside there is positive, so for example if -3 was in there, l-3l = 3
Answer:
- 3
Step-by-step explanation:
-|-7 + 4|
Simplify inside the absolute values first( like parentheses)
-|-3|
Take the nonnegative value for the absolute value
- 3
Eli will photograph a wedding for a flat fee of $1560 or for an hourly rate of $180. For what lengths of time would the hourly rate be less expensive?
The hourly rate would be less expensive if the wedding was less than
? hours long.
(Simplify your answer.)
Answer:
The hourly rate is better between 1 and 8 hours.
Step-by-step explanation:
There are two options
A fixed amount of $1560.
Or an hourly rate of $180 the hour.
So for the first option, the cost equation as a function of time, t, is:
f(t) = $1560
(it does not depend on t)
While for the second option, the equation would be:
g(t) = $180*t
First, we want to answer:
We can expect that for smaller values of t the second option is better but let's see that:
or what lengths of time would the hourly rate be less expensive?
Then we need to solve:
f(t) = g(t)
for t, this is:
$1560 = $180*t
$1560/$180 = t = 8.66
So, for t = 8.66, the cost is the same in both options.
For t < 8.66
(between 1 and 8 hours) the second option is better. (here the hourly rate is better)
for t > 8.66
(9 hours or more) is better the first option, as the hourly (here the flat fee is better)
The function y = log (x) is translated 1 unit right and 2 units down. Which is the graph of the translated function?
Answer:
whichever one looks like the screenshot i have of the graph-
Answer:
Graph B
Step-by-step explanation:
Took the test and got it right on EDGE22