Lets check if the three conditions hold.
1 : Continuity of g on the interval [0,2]
First, g(x) is a continuous function on R, as the sum of a cubic function wich is continuous on R, and a linear polynomial of the form ax + b which is also continuous on R. Finally g is also continuous on the interval [0,2]
2 : Differentiable on the same interval
Since the cubic function and the linear polynomial one are differentiable on R, g also is differentiable and particularly on the interval [0,2]
Also we have g'(x) = 2*3*x² - 3 = 6x² - 3
3 : Do we have g(0) = g(2) ?
Lets compute g(0) = 2*0^3 - 3*0 + 1 = 1
And g(2) = 2*2^3 - 3*2 + 1 = 2 * 8 - 6 + 1 = 16 - 6 + 1 = 11
Since g(0) ≠ g(2), Rolle's theorem is not applicable. Thus unfortunately, we can not conclude that there exist c ∈ (0,2) such that f'(c) = 0
What is 32008 rounded to the nearest highest place value
In Bobby's grade, 679 students are enrolled in health and 21 students are not. What percentage of the students in the school are enrolled in health? Write your answer using a percent sign (%).
97.07%
Step-by-step explanation:
total number of students is
696+21=717
696/717×100=97.07
answer is 97.07%
1/2(x+24)=21 (distributive property) thanks
Answer:
x=18
Step-by-step explanation:
since x+24 is in parenthesis, we need to distribute 1/2 to all the parts inside the parenthesis.
1/2 * x = 1/2x
1/2 * 24= 12
1/2x+12=21
subtract 12 from both sides
1/2x= 9
divide 1/2 from both sides
x=18
so your answer would be x=18
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\frac{1}{2}(x+24)=21 \rightarrow \frac{1}{2}x + 12 = 21\\\\x = 18[/tex]
»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\frac{1}{2}(x+24) = 21\\\rule{150}{0.5}\\\\\rightarrow \frac{1}{2}*x = \frac{1}{2} \\\\\rightarrow \frac{1}{2} * 24 = 12\\\\\rightarrow \frac{1}{2}x + 12 = 21\\\\\rightarrow \frac{1}{2}x + 12 - 12 = 21 - 12\\\\\rightarrow \frac{1}{2}x = 9\\\\\rightarrow (\frac{1}{2}x)2 = 9 * 2\\\\\rightarrow\boxed{x = 18}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
A family bought a total of 13 tickets to a magic show, some adult and some child. The family paid a total of $85
Adult tickets are $15 each and child tickets are $5 each.
Let x represent adult tickets and y represent child tickets.
Write an equation to model the total amount of money that they spent.
Answer:
250 $3 tickets and 100 $2 tickets were sold.
Step-by-step explanation:
The cost of tickets for a play is $3.00 for adults and $2.00 for children. 350 tickets were sold and $950 was collected. How many tickets of each type were sold?
Solution:
Step 1: Set up a table with quantity and value.
quantityvaluetotal$3 tickets$2 ticketstogether
Step 2: Fill in the table with information from the question.
The cost of tickets for a play is $3.00 for adults and $2.00 for children. 350 tickets were sold and $950 was collected. How many tickets of each type were sold?
Let x = number of $3 tickets
Let y = number of $2 tickets
Total = quantity × value
quantityvaluetotal$3 ticketsx33x$2 ticketsy22ytogether350950
Step 3: Add down each column to get the equations
x + y = 350 (equation 1)
3x + 2y = 950 (equation 2)
Use Substitution Method
Isolate variable x in equation 1
x = 350 – y (equation 3)
Substitute equation 3 into equation 2
3(350 – y) + 2y = 950
1050 – 3y + 2y = 950
3y – 2y = 1050 – 950
y = 100
Substitute y = 100 into equation 1
x + 100 = 350
x = 250
When do we use 180 or 360 to solve interior or exterior angles
Answer:
when it is alternate
Step-by-step explanation:
Answer:
here
Step-by-step explanation:
when it iş alternate
What is the slope of the line that contains these points?
Answer:
8
Step-by-step explanation:
Let,
x1 = 0
x2 = 1
y1 = 18
y2 = 26
Formula : -
Slope = ( y2 - y1 ) / ( x2 - x1 )
Slope = ( 26 - 18 ) / ( 1 - 0 )
= 8 / 1
Slope = 8
Find the Area of the figure below, composed of an isosceles trapezoid and one semicircle. Rounded to the nearest tenths place
Step-by-step explanation:
the area =
[½(8+2)×4] + [½×3.14×1²]
= 20 + 1.57
= 21.57
= 21.6
What is the value of k?
2k+9=7−3k
k=−2
k=−0.4
k = 2
k = 3.2
Answer:
k = -0.4
General Formulas and Concepts:
Pre-Algebra
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
2k + 9 = 7 - 3k
Step 2: Solve for k
[Addition Property of Equality] Add 3k on both sides: 5k + 9 = 7[Subtraction Property of Equality] Subtract 9 on both sides: 5k = -2[Division Property of Equality] Divide 5 on both sides: k = -0.4what is the value of 17-2(5-3)
Answer:
13
Step-by-step explanation:
17-10+6
7+6=13
hope it helps
The next model of a sports car will be 12.6% less than the current model. The current model is 32,000. How much will the price decrease? How much will the next model be?
HELP PLS I NEED THIS DONE BY 1:00 help me
Engineering An overpass intersects two
lanes of a highway. What must the value of x
be to ensure the two lanes are parallel?
Answer:
they are already paralell
Step-by-step explanation:
ok
help dududidihendhhejrjfjf
Answer:
x = − 8
Step-by-step explanation:
Factor then solve to find the complex solutions.
PLEASE HELP
If 87 people attend a concert and tickets for adults cost $3.5 while tickets for children cost $3.25 and
total receipts for the concert was $291.75, how many of each went to the concert?
Answer: 51 Children and 36 Adults.
Step-by-step explanation: Let's call x the number of children admitted and call z the number of adults admitted.
We know that x+z= 87
We also know that 3.25x+3.5z= 291.75.
We want to find the value of x and z. Then we solve the system of equations:
Multiply the first equation by -3.5 and add it to the second equation:
-3.5x-3.5z= -304.5
3.25x+3.5z= 291.75
-----------------------------------------------------------------------------------------------------------------
-0.25x=-12.75
x= -42.75 ÷ -0.25
x=51
----------------------------------------------------------------------------------------------------------------
Now we substitute the value of x in the first equation and solve for the variable z
51+z=87
z=87-51
z= 36
Omg took me like 10 minutes to calculate would appreciate brainliest. Have a wonderful day.
I am a 4digit numbe the sum of my middle two digit is 6 remove my middle two digit and Iwill become95. The digit inthe hundred place is 9less than the digit in the thousand place What number am I
Answer:
9065
Step-by-step explanation:
A Four digit Number
sum of A+B=6
Hundreds Place is 9 lesser than thousand Place
2 Middle Number remove = 95
Thousand= 9
Hundreds = 0
Tens=6
Ones=5
Answer:
here you go
Step-by-step explanation:
0+6 = 6
remove two middle numbers i become 95 which means the two outer numbers are 9 and 5
answer is 9065
Caleb wants to rent a kayak. Kayak rentals cost $70.58  for a half hour. If Caleb rents a kayak for 5.0 hours, how much will it cost him?
Step-by-step explanation:
divide each of the following: using the two methods
Im not sure what method is best used to solve these types of inequalities.
Answer:
There is no specific method you can solve it as you like
Step-by-step explanation:
you can do it as a normal equation first get rid of the (x-9) by multiplying the whole radical by x-9/x-9, then you will get rid of the x-9 down and you will have (x-9) . (x+6) . (x-1) [tex]\leq[/tex] 0 then multiply them together and solve it normally. Also dont forget to do the check part :)
If you need further help comment down :)
Answer:
I would say solve for the x value
Step-by-step explanation:
write an expression in factored form for the polynomial of least possible degree graphed below.
i’m confused because when i’m trying to find « a » i end up getting 0 and i feel i’m doing something wrong. thank you!!
Answer:
- 1/64 (x+4)² (x-3) (x-4) = 0
Step-by-step explanation:
f(x) = a (x+4)²(x-3)(x-4) ... curve touch (-4,0) and not cross x axis
x=0 f(x) = -3
a (4)² * (-3) * (-4) = -3
a = - 1/64
- 1/64 (x+4)² (x-3) (x-4) = 0
PLS HELO THANK YOUUUUU
Answer:
divide 500 by 125.
You get 4x = 568
Answer is 142
Happy Learning
Answer:
142
Step-by-step explanation:
A glass block window is made of two different-sized glass squares. The window has side lengths of 40 inches. The large glass squares have side lengths of 10 inches. Find the total area of the small glass squares?
Given,
A glass block window is made of two different-sized glass squares.
The window has side lengths of 40 inches. The large glass squares have side lengths of 10 inches.
40 × 10 = 400
try to determine which set of digits ends product three consecutive natural numbers?
Answer:
0, 4, 6
Step-by-step explanation:
1 * 2 * 3 = 6
2 * 3 * 4 = 24
3 * 4 * 5 = 60
4 * 5 * 6 = 120
5 * 6 * 7 = 210
6 * 7 * 8 = 336
7 * 8 * 9 = 504
etc.
Answer: 0, 4, 6
The soccer team raises $919.60 for new uniforms. If there are 20 players on the team, how much does each player get for a new uniform?
Answer:
10☺☺☺☺☺☺☺☺☺☺10 i think is 10
Hi, I need help with homework on review for test.
Answer:
-24+48i
Step-by-step explanation:
yan po ata sagot
Which table represents exponential growth?
Answer:
B.
Step-by-step explanation:
Exponential graphs means that it starts to go up slowly but then goes up faster. A is going down, so that's wrong since the graph needs to go up. The correct answer is B.
Rainwater is collected in a large pool. After a significant rainstorm, the pool contains
3 3/4 gallons of water. The sun came out after the rain ended. Within a couple of hours, 1/6 of the water collected in the pool evaporated. What value represents the change in the amount of water in the pool? Enter your answer as a simplified fraction in the box.
Answer:
3 1/8
Step-by-step explanation:
3 3/4 and 1/6 percent of the water evaporated
3 3/4 as a inproper fraction 15/4
15/4 * 1/6= 15/24 = 5/8
so we have to subtract 5/8 from 15/ 4
15/4*2/2= 30/8
30/8-5/8= 25/8
Answer:
3 1/8
Step-by-step explanation:
Express the fraction 2/3, 3/4,5/6
Answer:
The required fractions for 2/3, 3/4, and 5/6 with a denominator of 12 are 8/12, 9/12, and 10/12
Answer:
8/12, 9/12, and 10/12
Step-by-step explanation:
NEDDDD ASAPPPPP!!!!!!!!!
Answer:
9
Step-by-step explanation:
4y + 6y = 90
10y =90
y = 90÷10
y = 9
Any helpp? someone....?
Answer:
I think that the speed is 65mph, because there is the largest number of people on the graph for 65mph.
Step-by-step explanation:
Factor use please help I need this and quick
[tex]8a^{3} +\sqrt{3^{2}*3 } b^{3}[/tex]
[tex]8a^{3} +(\sqrt{3^{2} } *\sqrt{3})b^{3} \\\\[/tex]
[tex]8a^{3} +(3^{\frac{2}{2} } *\sqrt{3} )b^{3}[/tex]
[tex]8a^{3} +(3*\sqrt{3} )b^{3}[/tex]
[tex]8a^{3} +3*\sqrt3} *b^{3}[/tex]
The local newspaper has letters to the editor from 80 people. If this number represents 2% of all of the newspaper's readers, how many readers does the newspaper have?
Answer:
The local newspaper has letters to the editor from 80 people. If this number represents 2% of all of the newspaper's readers, how many readers does the newspaper have?
Step-by-step explanation:
2%ofx=80
or, 2/100 *X = 80
or, 2x =800
or, x = 400