Answers
9514 1404 393
Answer:
maximum: 12at x = 0Step-by-step explanation:
The x-term has even degree so is never negative. The x-term is subtracted from 12, so the maximum value of the function will be found where x=0. That value is 12 -0 = 12.
f(0) = 12 . . . . absolute maximum
Answer:
The function [tex]f(x)=12-6x^4[/tex] has an absolute maximum value of [tex]12[/tex] and this occurs at [tex]x $\ equals 0.[/tex]
Step-by-step explanation:
The maximum value of this function is at 12, because if you rewrite this function:
[tex]f(x)=-6x^4+12[/tex]The +12 is the k-value (the graph of this function is a parabola) of the vertex form of a quadratic. Just a reminder:
Vertex form of a parabola:
[tex]a(x-h)^2+k[/tex]You can see the 12 is the k-value. The k-value of the vertex form is the vertical shift of the parabola, meaning that this parabola is shifted 12 units upwards.
Since the parabola opens down (you can tell by the negative a-value [tex]-6[/tex]), there is a maximum value at the k-value, i.e. the vertical shift.
[tex]f(x)=-6x^4+12[/tex] has an absolute maximum value of [tex]12[/tex].
To find where the maximum value occurs at, the formula:
[tex]-\frac{b}{2a}[/tex]Tells us the x-value of the vertex of the parabola, whose y-value is the maximum value.
Using our rearranged equation, the a, b, and c-values are:
[tex]a=-6[/tex][tex]b=0[/tex][tex]c=12[/tex]Plug in the a and c values into the formula to find the x-value of the maximum point:
[tex]-\frac{b}{2a}[/tex][tex]-\frac{(0)}{2(-6)}=0[/tex]Therefore, the absolute maximum value of 12 occurs at x = 0.
Related Questions
Taylor can clean pools at a constant rate of 25 pools per hour. What is the ratio of pools to hours?
Answers
Answer:
25:1
Step-by-step explanation:
Pools:hours25:1I hope this helps!
Answer:
2:6
Step-by-step explanation:
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Write the inequality given below.
Eight less than 2 times a number is more than 12.
Answers
Answer:
Step-by-step explanation:
8-2x>12
will be nice if you give me brainlies.Good luck!
A
B
C
D
Thanks for helping me
Answers
shopkeeper sells one machine for 990 re at a profit of 10% and another machine for 1960 at a loss of 2%
Answers
Complete question :
shopkeeper sells one machine for 990 re at a profit of 10% and another machine for 1960 at a loss of 2%. What is his gain or loss percent
Answer:
1.72%
Step-by-step explanation:
Given that :
MACHINE 1:
Sales price = 990
Profit percent = 10%
The cost price of the machine (x) :
10% profit of x :
(100 + 10)% of x = 990
110% of x = 990
1.1x = 990
x = 990/1.1
x = 900
MACHINE 2:
Sales price = 1960
Loss on sale = 2%
Cost price (x) :
(100 - 2)% of x = 1960
98% x = 1960
0.98x = 1960
x = 1960/0.98
x = 2000
Total amount realized from sale = (990 + 1960) = 2950
Total cost of production = (2000 + 900) = 2900
Profit Made = (2950 - 2900) = 50
% profit:
(Profit / cost of production) * 100
(50 / 2900) * 100%
0.0172413 * 100%
profit % = 1.72
The profit made is 50
Cost price of first machine will be:
= 100/(100 + 10) × 990
= 100/110 × 990
= 100 × 9
= 900
Cost price for second machine will be:
= (100 - 2) × x = 1960
= 98% × x = 1960
= 0.98x = 1960
x = 1960/0.98.
x = 2000
The total cost price = 900 + 2000 = 2900
Total selling price = 990 + 1960 = 2950
Therefore, profit will be:
= Selling price - Cost price .
= 2950 - 2900
= 50
Read related link on:
https://brainly.com/question/17698813
1 1/4 packages of beads to make 10 bracelets. he wants to make 25 bracelets. how many packages of beads will he use
Answers
Answer:
55/8
Step-by-step explanation:
If 11/4 packages of beads are used to make 10 bracelets;
Hence the number of packages of beads that would be used to make 25 bracelets = (11/4 × 25)/10 = 55/8 packages of beads.
Why can't a whole number be irrational? Please dumb it down for me
Answers
Answer and Step-by-step explanation:
A whole number isn't irrational because it is a whole number. Confused? Most likely.
A whole number is any of the numbers {0, 1, 2, 3, ...} etc. There is no fractional or decimal part. And no negatives. Example: 5, 49 and 980 are all whole numbers.
An Irrational Number is a real number that cannot be written as a simple fraction. Irrational means not Rational. The irrational numbers are all the real numbers which are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers.
These are both real numbers because they don't go through the 4th wall (of science/math)
Imaginary numbers would use i.
A remote control car travels at a rate of 10 feet per second. How many inches per second is this? (1 feet = 12 inches)
Answers
What is the five-number summary for this data set?
4,6, 10, 13, 18, 28, 34, 46, 50, 58
Assume the numbers in each answer choice are listed in this order: min, Q1,
median, Q3, max.
Answers
Answer:
4, 10, 23, 46, 58
Step-by-step explanation:
this is easy stuff bro, did u rlly have to look this up
Pleaseeeeeeee, help meeeeeeee
Answers
kikaksyvjabsjxjjcjallalalalakjdiloveyouhahahahjss
In a class of 40 students, 26 are girls and 14 are boys. What is the ratio of girls to boys? Group of answer choices
14:26
14:40
26:40
26:14
Answers
Answer:
26:14
Step-by-step explanation:
It ask for girls first and there are 26, then boys which is 14. So the ratio would be 26:14.
Hope this helps
Arrange the three numbers shown in order from least to greatest.
1. 0.67
2. 6/9
3. 6.7%
Answers
Answer:1. 6/9 2. 0.69 3. 6.7
Step-by-step explanation:i think this is correct
Answer:
It is: 6.7%, 6/9, 0.67.
Step-by-step explanation:
Convert all your numbers to decimals.
6.7% = 0.067
6/9 = 0.66... (repeating decimal)
0.67 = 0.67 (already a decimal)
Line the decimals up to make them fair to compare then order them from least - greatest.
PLEASE HELPPPP ITS A GRADE
Answers
Answer:
A. It is not a function because 0 outputs multiple items
B. the domain seems to be 0,1,2,3
c.The range seems to be -2,1,2,4
Step-by-step explanation:
Write the equation of each line described in slope-intercept form (y = mx + b) with a slope of -6 and x-intercept of 4. (4,0)
Answers
Answer:
ill give u the answer if u do 73 divided by 2628
Step-by-step explanation:
3 of 5
Simplify as far as possible without a calculator.
33(272+273)
Answers
Answer:
17,985
Step-by-step explanation:
33(545)= 17,985
4x^3+52x^2+144x
solve by factoring
Answers
Answer:
4x(x^2 + 13x + 36)
Step-by-step explanation:
Multipy through to get the original value
Jenny & Natasha are working on a problem together: Solve x / 3 + 8 = −2. Natasha thinks the first step is to multiply by 3. Jenny explains that this is not the most efficient way to solve. Explain who is correct & justify your reasoning.
Answers
Answer:
−2x3
Step-by-step explanation:
i sloved the equation then mulitipilied by 3
Serena charges $6.50 an hour to walk dogs. She worked 5 hours last week and 9.5 hours this week. How much did she make altogether in the last two weeks?
Answers
Answer:
She made 91 dollars
Step-by-step explanation:
6.50 times 5 = 32.5
6.50 times 9 =58.5
58.5+32.5=91
Answer:
Your answer is $91.00.
Step-by-step explanation:
6.50 * 5 = 32.5
6.50 * 9 = 58.5
= 91
Hope this helps!
2/5 - 4 (5.4) solve
Answers
Answer: -106/5= −21.2
Step-by-step explanation: Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
2 - (108)/5 = -106/5
Harriet paid $349.65 for 7 fruit trees. If each of the trees cost the same, what is the cost for one tree?
Answers
Answer:
$49.95
Step-by-step explanation:
Since each tree costs the same, we can find the individual cost by dividing the total cost by the number of trees:
349.65/7
= 49.95
So, the cost of one tree is $49.95
Solve
8(12 - k) = 3(k + 21)
Please help! I am confused with some signs.
Answers
Answer: k = 3
Step-by-step explanation:
U first expand
96 - 8k = 3k + 63
Then u add 8k from both sides
96 = 3k + 63 + 8k
then u simplify
3k + 63 + 8k to 11k + 63
then u subtract 63 from both sides
96 = 11k + 63
Then u simplify 96 - 63 to 33
33 = 11k
Then u divide both sides by 11
33/11 = k
then u simplify 33/11 to 3
3 = k
and last u switch the sides
k = 3
Which statement best describes the rate of change for this situation
Answers
Find DF
D
20
E 10 F
DF =
Answers
Answer:
30
Step-by-step explanation:
it is right
bc DE is 20 and EF is 10, if DF is the entire segment, then you would add 20 & 10, to get 30.
What is 5 to the second power
Answers
Answer:
25
Step-by-step explanation:
5 times 5
5x5=25
hope this helps
find the sum of (3a+7)+(a−1)
Answers
Answer:
[tex] \huge{ \bold{ \boxed{ \text{4a + 6}}}}[/tex]
Step-by-step explanation:
[tex] \text{ (3a + 7) + (a - 1)}[/tex]
In addition , sign of each term in the expression remains unchanged. So, Remove the unnecessary brackets.
[tex] \text{⇢ \: 3a + 7 + a - 1}[/tex]
Combine like terms. Like terms are those which have the same base. Only coefficients of like terms can be added or subtracted.
[tex] \text{⇢ \: 3a + a + 7 - 1}[/tex]
[tex] \text{⇢ \boxed{ \text{4a + 6}}}[/tex]
And we're done! :D
Hope I helped!
Best regards! :D
~TheAnimeGirl
Felipe has a flower bed
Answers
Answer:
man thats cool
Step-by-step explanation:
Graph the line passing through (4,−1) whose slope is m=43.
Answers
angle 4 and angle 5 are ??? angles will mark brainiest
Answers
Answer:
alternate interiorStep-by-step explanation:
alternate interior angles are congruent if and only lines are parallel.
Which statement is TRUE about
V131
?
A) It lies between 12 and 13 on a number line.
B) It lies between 11 and 12 on a number line.
C) It lies between 10 and 11 on a number line.
D) It lies between 9 and 10 on a number line.
Answers
Answer:
I think the answer is B It lies between 11 and 12
Step-by-step explanation:
A consumer wanted to compare two types of battery storage. One type is refrigerated and the other is room temperature. It is a common belief that refrigerated batteries last longer. This belief is tested by placing 10 fully charged batteries into each type of storage and then measuring the percentage of charge remaining after thirty days. A coin tip was used to determine which type of storage each battery would be placed in first. Results indicated that there was no difference in the two types of storage Complete parts (a) through in below.
What type of experimental design is this?
A) Matched pairs design
B) Completely randomized design
C) Randomized block design
D) Case-control study
Answers
Answer:
A) Matched pairs design
Step-by-step explanation:
In experimental design, the match pairs experimental design is one that often involves only two treatment conditions; which in this case are the 'refrigerated and the room temperature battery storage types'.
Thus, these two treatment conditions form a matched pair because we are told that 10 fully charged batteries are placed into each type of storage.
What is the inequality solution for y+2<4
Answers
Answer:
y<2
Step-by-step explanation:
Subtract 2 on both sides
Answer:
y<2
Step-by-step explanation: