Answer:
84Step-by-step explanation:
Average rate of change between x = 2 and x = 4 is:
[f(4) - f(2)]/(4 - 2) = (3*4³ - 1 - 3*2³ + 1)/2 = 168/2 = 84[tex]\boxed{\sf Average\: change=\dfrac{f(a)-f(b)}{a-b}}[/tex]
[tex]\\ \sf\longmapsto f(x)=3x^3-1[/tex]
[tex]\\ \sf\longmapsto f(4)=3(4)^3-1=3(64)-1=192-1=191[/tex]
[tex]\\ \sf\longmapsto f(2)=3(2)^3-1=3(8)-1=24-1=23[/tex]
Average change
[tex]\\ \sf\longmapsto \dfrac{192-23}{4-2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{168}{2}[/tex]
[tex]\\ \sf\longmapsto 84[/tex]
Mike's age is six more than two times his sister's age. Mike is seventeen years old.Write the equation that could be used to determine the age of Mike's sister.
Answer:
Mike's sisters age is 5 years old
Step-by-step explanation:
Since Mike is 17 years old, he is six years older than 2 times her age, so we subtract 6 from his age; we get 11 since he is 2 times her age divide 11 by 2 = 5.5. That means that his sister is 5 years old
Which equation has the solution x = 5?
Select each correct answer.
18−2x=9
x/5+5=6
32−4x=12
11 + 6x = 22
3x + 1 = 9
25/x+4=9
Solve: 6 -0.2x = 2 (6 -0.6x)
A. x=0
B. There are infinitely many solutions.
C. x = 6
D. x = 18
Two vertical angles have measures (4x-21)° and (x+6)°. Find the measures of the angles
The measure of the two vertical angles is 15°
The two vertical angles have measures (4x-21)° and (x+6)°
Note that:
The measure of two vertical angles are equal
Therefore, equate (4x-21)° and (x+6)° and solve for x
(4x-21)° = (x+6)°
4x - 21 = x + 6
Collect like terms
4x - x = 6 + 21
3x = 27
x = 27/3
x = 9
Substitute x = 9 into 4x - 21
4x - 21 = 4(9) - 21
4x - 21 = 15°
Substitute x = 9 into x + 6
x + 6 = 9 + 6
x + 6 = 15°
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give the equation of the horizontal asymptote of the function shown below. g(x)=2x/x+5
Answer:
y=2
Step-by-step explanation:
Because the degrees of the numerator and denominator are equal to each other, then the equation of the horizontal asymptote of the function is y=2 since the end behavior of the function is equal to 2x/x=2.
Write an equation for a line with a slope of (-2) and the point (5,9)
Answer:
2x+y-19=0
Step-by-step explanation:
Slope = -2
The line passes through the points (5,9)
The equation of the line is
y-9 = -2(x-5) (Gradient and 1 point form)
y-9 = -2x+10
2x+y-19 = 0
Find x: 7=3(5+x)
Please show your work
Answer: x = -(8/3)
Step-by-step explanation:
7=3(5+x)
7=15+3x
3x = -8
x = -(8/3)
please please help! Ill give brainliest
worded problem image attached
I GIVE BRAINLIST
which graph represents the solution set of the system of inequalities
y>_1/3x-3 y<-3x-3
need points so
Step-by-step explanation:
I would like help with this question i don’t understand?
Answer:
Step-by-step explanation:
ebony walks 118*60*5= 35400 steps
Javier walks 6000 in 50 minutes
5 hours is 300 minutes
which means we walks 6000 steps 6 times
6*6000= 36000 steps
therefore javier walked more steps
Ivan finished Four-fifths of his math homework problems and all 3 problems for his science homework before dinner. If he finished a total of 43 problems before dinner, what is the total number of math homework problems he was assigned?
Answer:
Step-by-step explanation:
Since we know that Ivan finished all his science problems (3) we know that there are only math problems remaining
substract the science problems from the total 43-3=40
And now we can determine the amount of math problems
4/5 = 40/x where x is the total amount of math problems Ivan was assigned
cross multiply
4x = 5*40
4x=200
isolate the variable
4x/4 = 200/4
x=50
So Ivan was assigned a total of 50 math problems
(Note*) since there are 40 math problems finished 40/50 is equal to 4/5. Just a tip if you don't want to do the whole calculation
Hope this helps!
1) An airplane is at 10,000 feet above the ground. It needs to fly higher to reach the regular flying height. It increases its height at a constant rate of 2,000 feet per minute. How high will the plane be in 10 minutes?
Answer:
20000
Step-by-step explanation:
Answer: 30,000 feet
Step-by-step explanation: We start with the 10,000 feet original height. From there, we can take 2,000 feet per minute and multiply it by 10 minutes. That gets us 20,000 feet. Add 20,000 to our original 10,000 and we get 30,000.
What is QUzXTY . . .
Answer:
ANSWER MEEEEE
Step-by-step explanation:
please help me out for a brainlist
Answer:
22.50
Step-by-step explanation:
2.50x6=15+7.50=22.50
Answer:
$22.50
Step-by-step explanation:
well we know we have 7.50 in the beginning then we add 2.50 x 6 to make the equation 7.50+ ( 2.50 X 6) which equals 22.50
There are 32 students in your class. After voting for the class representative, Alan received 3 times as many votes than David. How many votes did Alan receive?
Answer:
alan received 24 votes
Step-by-step explanation:
bark
Let g be the function given by g(x)=x4−3x3−x. What are all values of x such that g′(x)=12 ?.
If g(x)=x4−3x3−x, the value of x such that g′(x)=12 is x = 2.67
The given function is:
[tex]g(x)=x^4-3x^3-x[/tex]
The derivative of the function g(x) is calculated below
[tex]g'(x)=4x^3-9x^2[/tex]
The question indicates that g'(x) = 12
This means that we are going to equate the derivative of g(x) gotten above to 12
[tex]4x^3-9x^2=12[/tex]
Solving the cubic equation above
The only real valid value of x is 2.67
Therefore, the value of x such that g′(x)=12 is x = 2.67
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Last week, Byron bought 5 containers of yogourt and spent $12.88 on other groceries.
This week casandra bought 3 containers of the same yogourt and spent $11.50 on other groceries. How much more money did byron spend than casandra
Answer:
Byron spent 0.62 cent more than Casandra.
Step-by-step explanation:
It says how much more money did Byron spend than Casandra?
So you have to take how much Byron had and subtract it by how much Casandra had.
$12.88 - $11.50 = $0.62
And that's how you get your total on how much more did Byron spend than Casandra.
what is the answer to this problem its too hard -36= - w/8
Answer:
w=288
Step-by-step explanation:
-36=-w/8
-36•8=-w
-288=-w
w=288
What are the domain and range of the real-valued function f(x)=2/x?
Answer:
here is your answer for the question
there are red and white roses in a vase 30% are red .there are 21 white roses.how many are there in total
Answer:
Step-by-step explanation:
21 roses are white so that is 70%
so that would be 70/100 and can reduce to 7/10
and the percent of red would be 3/10
so we can do 21 divided by 7 which equals 3
then we can do 3 x 3 because 3/10 which equals 9
then you do 21 + 9= 30
so the answer is 30.
anyone ?????????????
Answer:
g(4) = 8
g(6) = 12
Step-by-step explanation:
come on dude, easier than that?
Where do i plot the points? Need help ASAP!
Answer:
Plot at (8,2)
Step-by-step explanation:
Dave owns 15 shares of ABC Mining stock. On Monday, the value of
each share rose $2, but on Tuesday the value fell $5. What is the
change in the value of Dave's shares?
To travol tho
Write an expression to represent.
Answer:
15(2) + 15 (-5) . #45 drop
Step-by-step explanation:
(1/3)^-2 + (1/4)^-2 = (125)^x
Find the value of x?
Given that :(1/3)^-2 + (1/4)^-2 = 125^x
⇛[1/(1/3)]²+[1/+1/4)]² = 125^x
Since a^-n = 1/a^n
⇛ (3)²+(4)² = 125^x
⇛ (3×3)+(4×4) = 125^x
⇛ 9+16 = 125^x
⇛25 = 125^x
⇛ 5² =( 5³)^x
⇛ 5² = 5^(3x)
Since (a^m)^n = a^mn
⇛ 2 = 3x
Since the bases are equal then exponents must be equal
⇛3x = 2
⇛ x = 2/3
Therefore,x = 2/3
Answer:- The value of x for the given problem is 2/3.
also read similar questions:- evaluate 1. 5x = 125(x-2) 2. 2(x + 3) = 4 (x + 4)..
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Rob is saving to buy a new MP3 player. For every $13 he earns babysitting, he saves $9. On Saturday, Rob earned $52 babysitting. How much money did he save?
Answer:
$36
Step-by-step explanation:
$13 babysitting, $9 saved.
$52 babysitting, $x saved.
Cross multiply
13/13x=468/13
Divide both sides by 13
x=$36
As long as he's hired by someone, roughly how much can James earn in a month from his part-time job? Assume that his net pay is $8/hour and assume 4.5 weeks
Answer:
36
Step-by-step explanation:
8 * 4.5 = 36
James will earn 252 dollars if he work in a month from his part-time job. when his per hour pay is 8 dollars and assuming 4.5 weeks.
What is net earnings of James?
Whenever an employee work for a company he recieves a salary for his work now james is working as a part-time employee so he is getting 8 dollars for per hour working.
Suppose james is working one hour every day as a part timer so his income in one month or in 4.5 weeks will be
[tex]\rm James\ income =8\times 4.5\times 7[/tex]
[tex]\rm James\ Income= 252[/tex]
Hence James will earn 252 dollars if he work in a month from his part-time job. when his per hour pay is 8 dollars and assuming 4.5 weeks.
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Question 8 of 10
What is the length of PR?
A. 9
B. 63
C. 11
D. 7
Answer:
b
Step-by-step explanation:
Answer:
C. 7
Step-by-step explanation:
got it right on the quiz.
Brainliest?
23. Multiple Choice Luis wants to make a deck that is similar to one that is 10 feet
long and 8 feet wide. Luis's deck must be 18 feet long. What must its width be?
A 20 feet
B 16 feet
C 14.4 feet
0 22.5 feet
How do you know if a situation represents
a proportional relationship?
12>x>-7 is the dots on a number line open or closed
Answer:
its open
Step-by-step explanation:
i just did it