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
Which rotation will carry a regular pentagon onto itself?
A.
216o
B.
120o
C.
50o
D.
60O
Answers
Answer:
b
Step-by-step explanation:
Which correctly describes the points of discontinuity of the function? Select all that apply.
A. There is an infinite discontinuity at x equals negative 2.
B. There is a jump discontinuity at x equals negative 2.
C. There is a removable discontinuity at x equals negative 1.
D. There is an infinite discontinuity at x = 1.
E. There is a jump discontinuity at x = 1
Answers
Answer:
A, C, and E
Step-by-step explanation:
Marissa has $4.70 in quarters and dimes. If she has 9 more quarters than dimes, how many of each coin does she have?
dimes
quarters
Answers
Answer:
22 dimes
10 quarters
Step-by-step explanation:
$4.70 = 0.25(q + 9) + 0.1d
4.7 = 0.25q + 0.25(9) + 0.1d
4.7 = 0.25q + 2.25 + 0.1d
2.45 = 0.25q + 0.1d
24.5 = 2.5 + d
22 = d = 22 dimes
$4.70 = 0.25(q + 9) + 0.1(22)
4.70 = 0.25q + 0.25(9) + 2.2
4.70 = 0.25q + 2.25 + 2.2
4.70 = 0.25q + 2.25 + 2.2
4.70 = 0.25q + 4.45
0.25 = 0.25q
1 = q
1 q + 9 q = 10 quarters
Check:
$4.70 = 0.25(q + 9) + 0.1(d)
$4.70 = 0.25(1 + 9) + 0.1(22)
$4.70 = 0.25(10) + 0.1(22)
$4.70 = 2.5 + 2.2
$4.70 = 4.7
14. Solve and check the solution .2x + 1/3 =
4/3*
O X = 1/3
O X = 1/2
Answers
[tex]2x + \frac{1}{3} = \frac{4}{3} [/tex]
[tex]2x = \frac{4}{3} - \frac{1}{3} [/tex]
[tex]2x = \frac{3}{3} [/tex]
[tex]2x = 1[/tex]
[tex]\color{hotpink}x = \frac{1}{2} [/tex]
Therefore , the correct option is :-
[tex]\color{yellow}\mapsto\color{teal}x =\color{magenta} \frac{1}{2} [/tex]
find each sum.
1)-9+(-2)
2)3.2+1.4
3)5.1+(0.7)
4)-2.2+(-3.8)
Answers
Answer:
1. -11
2. 4.6
3. 5.8
4. -6
Step-by-step explanation:
1) - 11
2) 4.6
3) 5.8
4) 6.0
I hope this helps!!
In an experiment, college students were given four quarters
Answers
Answer:
What is the question?
Step-by-step explanation:
I don't see a question.
im kinda dumb here ... need help again
Answers
Answer:
with what lol
Step-by-step explanation:
Answer:need me points
Step-by-step explanation:
Solve using the standard algorithm the area model the distributive property or the partial products method 2,809x4
Answers
Answer:
11,236
Step-by-step explanation:
i think this might be the answer but if it not alseat I try helping
Use slope formula, m= y2, - y1 over X2-X1 to find the slope of a line that passes through the points (-3, 8) and (4.-6).
m=
use the slope-intercept form, y=mx+b to find the y-intercept (b) of the line
b=
what is the new equation written in slope-intercept form y=mx+b
Answers
Answer:
m= -2
b= 2
y= -2x + 2
Step-by-step explanation:
Just did it
The slope of a line is m = -2 that passes through the points (-3, 8) and (4.-6), the y-intercept (b) of the line is 2, and the equation is y = -2x + 2.
What is the slope of the line?The slope of a line is defined as the gradient of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Given that the line that passes through the points (-3, 8) and (4.-6).
Let
x₁ = -3, y₁ = 8
x₂ = 4, y₂ = -6
∵ Slope m = (y₂ - y₁)/(x₂ -x₁ )
Substitute values in the formula
m = (-6 - 8)/(4 -(-3))
m = (-14)/7
m = -2
y - 8 = m(x - (-3))
y - 8 = -2(x + 3)
y = -2x -6 + 8
y = -2x + 2
Since the slope-intercept form, y = mx+b
So the y-intercept (b) of the line,
b = 2
Thus, the slope of a line is m = -2 that passes through the points (-3, 8) and (4.-6), the y-intercept (b) of the line is 2, and the equation is y = -2x + 2.
Learn more about the Slope of the Line here:
brainly.com/question/14511992
#SPJ2
What is 18 x 2 x (3 + 4) x 3 + 6
Answers
Answer:
762Step-by-step explanation:
[tex]18 \times 2 \times (3 + 4) \times 3 + 6[/tex]
Follow PEMDAS order of operation
[tex]3 + 4 = 7 \\ 18 \times 2 \times 7 \times 3 + 6 \\ 18 \times 2 \times 7 \times 3 = 756 \\ 756 + 6 = 762[/tex]
Answer:
762
Step-by-step explanation:
We need to use BODMAS method
B - Brackets
O - Power
D - Division
M - Multiplication
A - Addition
S - Subtraction
__________________
Workout
First Brackets
- (3 + 4) = 7
Then multiplication
18 x 2 = 36
36 x (3 + 4) = 36 x 7 = 252
252 x 3 = 756
Lastly Adding
756 + 6 = 762
Answer = 762
___________________
Hope you understand
:-)
Find the value of x.
Answers
Answer: x=10
Step-by-step explanation:
5x+3=53 subtract 3 from 3 and 53
5x=50 divide both sides by 5
50/5=10
now lets check to be sure
5*10=50+3=53
the solution is correct
hoped this help =)
tina eats 8 crackers for a snack each day at school. on Friday she drops 3 and only eats 5. how many did tina eat during the week?
Answers
Answer:
52
Step-by-step explanation:
8x5-3+5=?
4 * 80 * 0 * 0 * 0 * 0 * 0
Answers
Answer:
40800000000000
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
any # times 0 is 0
answer the following...
Answers
A) Angle one plus Angle four is equal to 180
Hope this helped!
In Earnest's yard, the grass grew 2 inches. The next week, Earnest cut 2 inches off of the grass. The total change was 0 inches. Which of the following situations
also has a total change of 0?
I put 5 pounds of birdseed in the feeder. Then, birds ate 5 pounds of birdseed.
It rained 2 inches on Tuesday. Then, it rained 2 inches on Wednesday.
It Snowed 4 inches last week. Then, 8 inches of snow melted during this week.
A farmer sold 3 bushels of apples last week. Then, she sold 6 bushels of apples this week.
Answers
Answer:
The answer is the first one, I put 5 pounds of birdseed and he ate 5 pounds, leaving you with none, or zero.
Step-by-step explanation:
What’s another name for plane P?
Answers
Answer:
DAB is correct if you have the option for it. if not can you post the possible answers?
If sea turtles can travel 2.8 at top speed in two hours how far did it travel in one hour
Answers
Answer
1.4 miles
Step-by-step explanation:
2.8÷2=1.4
There are eight wires which need to be attached to a circuit board. A robotic device will attach the wires. The wires can be attached in any order, and the production manager wishes to determine which order would be fastest for the robot to use. Use the multiplication rule of counting to determine the number of possible sequences of assembly that must be tested.
Answers
Answer: 40320 sequence to test.
Step-by-step explanation:
we have given the following data:
No of wires which need to be attached to a circuit board = 8
What We need to find is the number of possible sequences of assembly that must be tested.
Using our multiplication rule of counting we arrive at,
Number of possible sequences of assembly is given by
8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
= 40320
i.e. there are 8 choices for the first wire, 7 choices for the second wire, 6 choices for the third wire, 5 choice for the fourth wire same till the 8th wire.
Hence, there are 40320 possible sequences of assembly.
Anna is a wildlife photographer. She wants to photograph woodpeckers, snowy owls, and hawks. In which biome can Anna find these birds? O A desert O B. tundra OC temperate deciduous forest O D. rainforest
Answers
Answer:
I think B but you should post this in geography not mathematics for a better answer.
Step-by-step explanation:
Answer:
B. Tundra
Step-by-step explanation:
Anna can find these birds in the tundra biome. Snowy owls habitats are in the tundra and do migrate to the northernmost regions of Canada, Europe, Asia and Alaska. Woodpeckers and hawks can also live in the tundra.
Write a number that has a 3 that is 10
times the value of the 3 in 7.31
Your answer
Answers
Answer:
3
Step-by-step explanation:
7.31
3 in the tenths place
3 = 3/10 or 0.3
0.3*10=3
explain: 7.31
3 is in 10 place so
3= 3/10 or 0.3 ;)
Help Please I Really Need Help
Answers
Answer:
X=5
Step-by-step explanation:
3x+4=19
3x+4-4=19-4
3x=15
15/3x=
X=5
Hope this helps!
if cos(x) = -1/4 and tan(x) < 0, what is sin(2x)
Answers
Answer:
B is correct: (-sqrt15)/8
Step-by-step explanation:
The value of the x is 104.5° then the value of the sin 2x is -0.49. Then the correct option is B.
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
If cos(x) = -1/4 and tan(x) < 0
Then the value of the x will be
[tex]\begin{aligned} \cos x &= - \dfrac{1}{4}\\\\x &= \cos^{-1} \dfrac{-1}{4}\\\\x &= 104.5^o \end{aligned}[/tex]
Then the value of the sin 2x will be
[tex]\sin 2x = \sin 2*104.5^o\\\\\sin 2x = \sin 209^o\\\\\sin 2x = -0.4848 \approx 0.49[/tex]
More about the trigonometry link is given below.
https://brainly.com/question/22698523
What is the slope of the line y=-4
Answers
Answer:
slope is 0
Step-by-step explanation:
the equation describes a horizontal line with a y-intercept of -4. as the line is horizontal, the slope is 0
Which of these statements is not one of Euclid axioms
Answers
Answer:
Things which are equal to the same thing are also equal to one another. If equals be added to equals, the wholes are equal. If equals be subtracted from equals, the remainders are equal. Things which coincide with one another are equal to one another.
The graph of h(x) = x2 – 3 is a translation of the
graph of f(x)
by
units.
Answers
Answer: down, by 3 units
Step-by-step explanation: -3 is negative so you go down on the graph 3 times
Answer:
down by 3 units
Step-by-step explanation:
i just did this assignment on edg
what is the slope of the line
Answers
Answer:
M=[tex]-\frac{3}{4}[/tex]
Step-by-step explanation:
M=[tex]\frac{rise}{run}[/tex]
From left to right, the line goes down. Therefore, it is a negative slope.
[tex]-\frac{3}{4}[/tex]
What is the value of 4x – 3y if x = 3 and y = 6?
Answers
Answer:
-6
Step-by-step explanation:
If x=3 and y=6, 4x-3y=-6 because 4x with x=3 makes the first number 12. 3y with y=6 makes the result 18, so now the equation is 12-18. 12-18=-6, so 4x-3y with x=3 and y=6 will equal -6.
Hopefully the answer and explanation helps!
Answer:
-6
Step-by-step explanation:
All you have to do is plug in the numbers. So it should look like 4(3) - 3(6). Now all you have to do is solve. 4 x 3 = 12. 3 x 6 = 18. Now subtract. 12 - 18 = -6
Seth sells candles for $14.35 each. Last
week, he sold 21 candles over 4 days. Seth
pays $2.40 for materials for every 3 candles.
How much did Seth earn last week?
Answers
Answer:284.55
Step-by-step explanation:divide 21 by 3=7 7times 2.40=16.8 14.35 times 21=301.55
Evaluate $\frac{33}{33\frac 13}$. Express your answer as a fraction in simplest form. (Thus the numerator and denominator should be integers whose greatest common divisor is $1$.)
Answers
Answer:
[tex]\dfrac{99}{100}[/tex]
Step-by-step explanation:
We need to evaluate [tex]\dfrac{33}{33\frac 13}[/tex]. Here, 33 is numerator and [tex]33\dfrac{1}{3}[/tex].
Firstly, we will solve the denominator.
[tex]33\dfrac{1}{3}=\dfrac{33\times 3+1}{3}\\\\=\dfrac{100}{3}[/tex]
The given expression becomes,
[tex]\dfrac{33}{33\frac 13}=\dfrac{33}{\dfrac{100}{3}}\\\\=\dfrac{33\times 3}{100}\\\\=\dfrac{99}{100}[/tex]
Hence, the required answer is 99/100.
Convert 10 pints to quarts.
Use the conversion rate 1 quart = 2 pints
Help
Answers
Answer: Your answer should be 5 quarts.
Step-by-step explanation:
After conversion 10 pints will be equal to 5 quarts .
Given,
Convert 10 pints to quarts.
Few unit conversions :
Conversion Factors:
1 mile = 5280 feet
1 foot = 12 inches
1 inch = 2.54 cm
1 cm = 10 mm
1 second = 1 s
Now,
Here 10 pints to quarts .
1 quart = 2 pints
Hence ,
10 quarts = 5 pints .
Know more about unit conversion,
https://brainly.com/question/14614674
#SPJ6