Answers
Answer:
The absolute maximum value of f on [-2, 4] occurs at x = 4.
Step-by-step explanation:
We know that the absolute maximum value of f(x) on this interval will occur at either a critical point or an endpoint. The critical points are any point where f'(x) is either equal to zero or not defined. Since f is a polynomial, f'(x) = 3x^2 - 6x is always defined, but is equal to zero at x = 0 and x = 2. We can check the value of f(x) at each critical point and endpoint:
f(-2) = -8
f(0) = 12
f(2) = 8
f(4) = 28
Therefore, f has an absolute maximum value of 28 on the closed interval [-2, 4], which occurs when x = 4.
Related Questions
Negative one fourth plus three fourths
Answers
Answer:
no
Step-by-step explanation:
Emily loves to read. She read 527 hours in 31 weeks. If she read an equal number of hours each week, how many hours did she read each week?
Answers
Answer: Emily read 17 hours a week.
Step-by-step explanation: Divide the number of hours by weeks. 527/31=17
15 more than three times a number is equal to 75
Also please give me the step by step
Answers
Answer:
x=20
Step-by-step explanation:
15+3x=753x+15=753x+15+15=75+153x=60[tex]\frac{3x}{3} =\frac{60}{3}[/tex] x=20I hope this explanation was helpful.
Step-by-step explanation:
soln,
15+3x=75
or, 3×15=75
or,3×15+15=75+15
or,3x÷3=60÷3
or,x=20
ans= 20
Quadratic Equation.
Solve the following:
a) a(a-9) = 0 b) 2m(m-5)=0 c) 3r(4r-5)=0
Answers
b)m1=0 m2=5
c)r1=0 r2=1.25 or 5/4
Analyze the graph. Determine what, if any, association there is. Explain.
On a graph, points are grouped together to form a curve.
Answers
answer with explanation:
From the scatter plot we may observe that the data points follow a parabolic path.Hence, the association between the points is non-linear also, the data points follow a quadratic association.
Also, when we make a quadratic curve around these data points we see that all of the data points will be closely related to the curve.
Hence, there is a strong association between the data points.
Answer:
It follows a curve and it is a cluster.
Step-by-step explanation:
Morgan is buying holiday gifts for her friends she can spend at most $95. Write an inequality to represent the amount of money m. Morgan can spend on each friends gift. What is the inequality
Answers
Answer:
$95÷f = m
Step-by-step explanation:
In sentence form
$95 divided by the number of friends(f) equals the amount of money(m) she can spend on each.
HELP PLS I WILL MARK BRAINLIEST!!
Answers
Help me out hereeeeeeeeeeeee
Answers
Answer:
I think the first one
Step-by-step explanation:
Answer:
3 1/7
Step-by-step explanation:
5/6 * 4 = 20/6
20/6 = 3 2/6 = 3 1/3
omg pls helppppp brainliest for who answers first
Answers
Answer:
The length is 20 m, the width is 10 m, and the area is 200 m.
Step-by-step explanation:
Here is why, since the length is 16 cm we first divide by 4 then multiply by 5. When we divide by 4 we get 4 and when we multiply by 5 to get 20. Then, we do the same for the width to get 10. Lastly, we just multiply both together.
Given m||n, find the value of x.
+
(6x-7)°
>
(4x-1)^
Answers
Answer
Step-by-step explanation:
6x-4x=2x=7-1=6
2x=6
-2x-2x=x 6/2x=3
x=3
Can we create scaled copies by adding or subtracting
the same value from all lengths? Why or why not?
Answers
Answer: no
Step-by-step explanation:
Because to make a scaled copy you have to MULTIPLY or DIVIDE all the lengths of the figure
12 divided by 5/8 release help me thank you!
Answers
12 ÷ 5/8
12 x 8/5
(12 • 8)/5
96/5
Done!
y = -9x + 5
y = –10.
Answers
Answer:
x=5/3 simplified x= 15/9
Step-by-step explanation:
in equilateral triangle DEF, m
Answers
Answer:
please write the full questions
(PLS HLEP ASAP!! I WILL GIVE BRAINLIEST IF U HELP MEEEE ;-;!!)
(Btw u have to use fraction models to solve it )
Answers
Answer:
4 1/4
Step-by-step explanation:
Answer:
4 1/4
Step-by-step explanation:
1 1/2 + 2 3/4
= 3/2 + 11/4
= 6/4 + 11/4
= 17/4
= 4.25
Find the slope of the line. 2x - 4y = 18
Answers
2x - 4y = 18
-4y = -2x + 18
y = 1/2x - 9/2
the slope is 1/2
Answer:
The slope would be 1/2.
Step-by-step explanation:
Step one: Subtract 2x from both sides to get, -4y=-2x+18
Step two: Divide -4 from all sides
It is just that simple. Hope this helps. Have an awesome day!!!!!!!
13 less than 2/3 of a number
Answers
Answer:
[tex]\frac{2}{3} x-13[/tex]
1/3 + 2/3 + 2/3 as a fraction pls helppp
Answers
Answer:
5/3
Step-by-step explanation:
Answer:
1 and 2/3
Step-by-step explanation:
They have a common denominator so add the top numbers and get 1 whole, and 2/3's.
A machine that fills bottles on an assembly line does so according to a normal distribution, where the mean amount of liquid poured into each bottle is 11.95 ounces with a standard deviation of 0.045 ounces. If more than 12.10 ounces is poured into a bottle, it will overflow and waste the liquid.
Required:
What is the probability that a bottle has more than 12.10 ounces poured into it, causing it to overflow?
Answers
Answer:
The probability is [tex]P( X > 12.10 ) =0.0004[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 11.95 \ ounce[/tex]
The standard deviation is [tex]\sigma = 0.045 \ ounce[/tex]
Generally the probability that a bottle has more than 12.10 ounces poured into it, causing it to overflow is mathematically represented as
[tex]P( X > 12.10 ) = P( \frac{X - \mu }{\sigma } > \frac{ 12.10 - 11.95}{0.045} )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P( X > 12.10 ) = P( Z > 3.33 )[/tex]
From the z table the area under the normal curve to the right corresponding to 3.33 is
[tex]P( Z > 3.33 ) = 0.0004[/tex]
=> [tex]P( X > 12.10 ) =0.0004[/tex]
A line has a slope of 7 and a y-intercept of -2
Answers
Answer: it's -1
Step-by-step explanation: Hope this helps
Can I have brainliest?
3.2 x 10-2 +3.2 x 10-4 +
28 x 10-2
Answers
Answer:
336 I assume if using PEMDAS
Step-by-step explanation:
In the figure below, angle y and angle x form vertical angles. Angle x forms a straight line with the 50° angle and the 40° angle.
Write and solve an equation to determine the measure of angle y.
Answers
Answer:
The answer is "[tex]\angle y = 90^{\circ}[/tex]"
Step-by-step explanation:
Please find the image file of the angle in the attachment.
Each line is 180° straight because the [tex]\angle x[/tex]-axis of the 40° and 50° angles is a straight line:
[tex]= \angle x + 40^{\circ} + 50^{\circ} = 180^{\circ}[/tex]
Use this formula and isolate x.
[tex]\angle x + 40^{\circ} + 50^{\circ} = 180^{\circ}\\\\ \angle x + 90^{\circ} = 180^{\circ} \\\\ \angle x = 180^{\circ} - 90^{\circ} \\\\ \angle x = 90^{\circ}\\\\[/tex]
Since the two are vertical angles, they have the same measurement. These have the same measurement. If [tex]\angle x = 90^{\circ}[/tex] and [tex]m \angle x = m \angle y[/tex], then [tex]\angle y = 90^{\circ}[/tex]
What is the answer to x/3 = 6/9
Answers
Answer:
x/3 = 6/9
3 x 2 = 6
3 x 3 = 9
x = 2
2.4 x 24.12 need help I’m stuck help
Answers
Answer: 57.888
Step-by-step explanation: you have to use long multiplication to evaluate
Person above me got it right (57.888)
HELP Please 25 Points Calculus
Answers
(I) is not necessarily true. Consider the function f(x) = - |x| on the interval [-1, 1]. There's a maximum at x = 0, but f' (0) does not exist.
But both (II) and (III) are true, so the answer is A.
Simplify: (2x^2)^3 (3x)^2
Answers
Answer:
(2 ^ 3 ⋅ 3 ^2 x ^ 8)
Step-by-step explanation:
The local bowling alley charges $8 for 2 games of bowling and $3 for each additional game. You have a $20 bill. Let `x\ `stand for the total number of games you can bowl. Write an inequality to represent the total number of games you can bowl. Write the ORIGINAL inequality. Do NOT simplify.
Answers
Answer:
8 + 3x ≤ 20
Step-by-step explanation:
Given
2 Games = $8
Additional Game = $3
Amount = $20
Required
Determine the inequality that represents the number of games
From the question, we understand that the minimum number of games that can be played is 2.
So, the expression can be:
Cost of 2 games + Cost of additional games ≤ Amount
This gives:
8 + 3 * x ≤ 20
Where x represents the additional number of games
By simplifying the expression, we have:
8 + 3x ≤ 20
Tabitha collects quarters from different states. The value of her collection is $17.75. How many quarters does she have in her collection?
Enter the correct answer in the box.
Answers
Answer:
there is 74 quarters
Step-by-step explanation:
$17.75 divided by 25 equals 71 and there is stillb75 left how many quarters are in that 3 quarters so 71 plus 3 equals 74
How to solve D - 8/5 = -4
Answers
Answer:
A= 5/7b +8
Step-by-step explanation:
The basic idea is that you can do anything you want (except divide by
zero) to either side of the equation, so long as you do the same thing
to the other side, too.
2/3 divided 1/4 , give answers in simplest form
Answers
Answer:
2 2/3
Step-by-step explanation: