Answers
Answer:
it is option 1
Step-by-step explanation:
mark my answer as brainliest
Answer:
3
Step-by-step explanation:
To find the relative maximum of a function the double derivative should be less than zero at the stationary point. For that we need to find the stationary value/values of the function so here goes,
[tex]f(x)=-x^3+6x^2-9x-1\\f'(x)=-3x^2+12x-9\\\\For\ stationary\ point\ f'(x)\ equals\ zero\\\\0=-3x^2+12x-9\\3x^2-12x+9=0\\x^2-4x+3=0\\\\x^2-3x-x+3=0\\x(x-3)-1(x-3)=0\\(x-3)(x-1)=0\\x=3\ ,\ x=1[/tex]
Now since we have two values of x at which the function is stationary we need to test them both for that we need to take the double derivative so here goes,
[tex]f'(x)=-3x^2+12x-9\\f''(x)=-6x+12\\now\ put\ x = 1\\f''(1)=-6(1)+12\\f''(1)=-6+12=6\\since\ f''(1)>0[/tex]
The point x = 1 is a relative minimum
But we need the relative maximum so lets try out x = 3
[tex]f''(x)=-6x+12\\f''(3)=-6(3)+12\\f''(3)=-18+12=-6[/tex]
[tex]since\ f''(3)<0[/tex]
The point x = 3 is the relative maximum because for relative maximum the double derivative should be negative or less than 0 in this case its true so the last option is your answer
Related Questions
Plis help me first one to reply gets brainless
Answers
Answer:
1.>
2.>
3.=
4. >
Step-by-step explanation:
if your a single boy look at the pic below
Answers
Answer:
im not a boy nor single but an fyi it doesn't show a photo just letting you know
Step-by-step explanation:
Answer:
df
Step-by-step explanation:
Can someone help me with this question? 12-x=5
Answers
Answer:
x=7
Step-by-step explanation:
12-x=5
Subtract 12 from both sides.
−x=−7
Divide both sides by -1
x=7
Find the area of the shape below.
11 cm
14 cm
9cm
20 cm
Answers
Answer:
pretty sure its 235 cm^2
Step-by-step explanation:
Which proof proves this? Legit need help!
Answers
Answer:
Angle B = Angle D
Step-by-step explanation:
If it says it's a reflection, then as long as it's not stretched or shrunk, both sides will be equal across the line of symmetry
14 Divide 2+3(4)-(61/2-3)
Answers
In ANOP, NP is extended through point P to point Q, mZPNO = (x + 14),
mZOPQ = (5x – 2)°, and mZNOP = (x - 1)º. Find mZOPQ.
Answers
Answer:
Step-by-step explanation:
m∠OPQ = 23°
The image of a point (1, 2) under a translation is (-5, -4) what is the translation vector
Answers
Answer:
u = vector (-6 , -6)
Step-by-step explanation:
u = vector(a , b)
Left (-) 6 units and down (-) 6 units
The translation vector for the image is (-6,-6).
What is a translation vector?A translation vector is a type of transformation that moves a figure in the coordinate plane from one location to another. Vectors are given in the form ( x y ) where x is the movement horizontally and y is the movement vertically.
For the given situation,
The image of a point (1, 2) under a translation is (-5, -4) .
The translation vector can be found by calculating the movement horizontally and vertically as
⇒ [tex](-5-1,-4-2)[/tex]
⇒ [tex](-6,-6)[/tex]
Hence we can conclude that the translation vector for the image is (-6,-6).
Learn more about translation vector here
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What is the difference of 3.14 and the sum of 5.99 and 0.65?
Answers
Answer:
3.5
Step-by-step explanation:
5.99+0.65=6.64
6.64-3.14=3.5
help mee pleaseee this doesnt even make sense lol
Answers
Answer: 2 is less than or equal to x which is less than 4
Step-by-step explanation:
In triangle Jkl, l = 880 inches, Angle j=63° and Angle k=11°. Find the length of j , to the nearest
inch.
Answers
Answer:
j=816 inch
Step-by-step explanation:
J^+K^+L^=180° (sum of int. angles of triangle)
L^+11+63=180
L^=106°
j/sinJ=l/sinL
j/sin63=880/sin106
j*sin106/sin106=880*sin63/sin106
j=815.6
j=816 inch
If f(x) = 5x^2– 3 and f(x + a) = 5x^2+ 30x + 42,
what is the value of a ?
Answers
Answer:
The zeros are x=0,3,-2
There is a multiplicity of 1 for all of them.
Step-by-step explanation:
The required value of a is 3 for the given function.
What are the functions?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
The function is given as follows:
f(x) = 5x²– 3
Substitute the value of x = x + a in the above function,
f(x + a) = 5(x + a)²– 3
f(x + a) = 5(x² + a² + 2ax) - 3
f(x + a) = 5x² + 5a² + 10ax - 3
f(x + a) = 5x² + 10ax + 5a² - 3 ....(i)
As per the question, we have f(x + a) = 5x²+ 30x + 42 ....(ii)
Equating the equations (i) and (ii),
So, 10a = 30
a = 30/10
a = 3
Therefore, the required value of a is 3.
Learn more about the functions here:
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5 of the 25 players on the soccer team are 7th graders. Find the Percent of 7th graders
Answers
20%
Step-by-step explanation:
5 divided by 25 multiplied by 100 will give you 20%.
what is the value of x in the figure
Answers
Answer:
x is 35
Step-by-step explanation:
the two angles are opposite so they are equal
Answer:
x = 35°
Step-by-step explanation:
Vertical Angles
When two lines cross, two pairs of angles are formed. Those who are opposed by the vertex are called vertical angles and they are always congruent.
Congruent angles have the same measure.
Thus, the angle marked as x is opposed to 35° and they have the same measure, thus:
x = 35°
Find the slope of each line
Answers
Answer:
0, -2/3
Step-by-step explanation:
A rectangular field is 348 inches long and 7 yards wide. What is the perimeter of the field in feet? plz help me
Answers
Answer:50 feet
Step-by-step explanation:
What is the slope-intercept form of the linear equation x+4y=12?
Answers
Answer:
y = -x/4 + 3
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Standard Form: Ax + By = C
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Standard Form: x + 4y = 12
Step 2: Rewrite
Find slope-intercept form
Subtract x on both sides: 4y = 12 - xDivide 4 on both sides: y = 3 - x/4Rearrange: y = -x/4 + 3we know that
The equation of the line in the slope-intercept form is equal to
we have
Solve for y
Subtract both sides
Divide by both sides
therefore
the answer is
Y= 1/4x+3
I give brainlest if you answer my question correctly!
Answers
Answer:
C the third one
Step-by-step explanation:
It is equal to the demo
Allison is evaluating the expression -5-(-2) using integer tiles. She begins with 5 negative tiles as shown
VX
What should Allison do next to find the value of the expression?
remove 2 negative tiles
remove 3 negative tiles
add 2 negative tiles
Add 7 negative tiles
Answers
Answer:
its B. -3
Step-by-step explanation:
Remove 3 negative tiles .
Can I get brainliest??????
Answer:
Step-by-step explanation:
its b
Eighty students try out for the school play. Of these students, 60% are given roles in the play. Males are assigned 25% of the roles in the play. How many males have a role in the play?
Answers
Answer:
20
Step-by-step explanation:
(1/4) × 80
=20
there fore, 20 males have role in the pkay
Answer:
Solution in photo :)
Step-by-step explanation:
A painting is on sale at 40% off.the sale price is $320 what was the original price
Answers
Answer:
$533.33
Step-by-step explanation:
$533.33 multiplied by 0.6 = $319.998 which rounds to $320
533.33 ÷ 100 = 5.33 so this is 1 percent
5.33 x 40 = $213.332 which rounds to $213.33
$320 + $213.33 = $533.33
Evaluate 16 • 1 + 4(18 ÷ 2 – 9)
Answers
Answer:
16
Step-by-step explanation:
I did this in 7th grade and had the answer but I don't know the steps
Answer: remember PEMDAS (parentheses, exponents, multiplication, division, addition, and subtraction. Multiplication and division)
answer is 16
Step-by-step explanation:
16×1+4(18÷2−9)
(Multiply 16 and 1 to get 16.)
16+4(18÷2−9)
(Divide 18 by 2 to get 9.)
16+4(9−9)
Subtract 9 from 9 to get 0.
16+4×0
Multiply 4 and 0 to get 0.
16+0
Add 16 and 0 to get 16.
16
Lashonda has scored 83, 72, 74, and 85 on her previous four tests. What score does she need on her next test so that her average (mean) is 81?
Answers
Answer:
91
Step-by-step explanation:
I sent a pic to go with this.
Answers
Answer:
67.71
Step-by-step explanation:
The record high temperature in Australia is 123°F. The record low temperature in Australia is – 9°F. How many degrees warmer is the record high temperature than the record low temperature?
Answers
Answer:
132
Step-by-step explanation:
123+9=132?
Answer:
132 degrees and can I get brainliest
Step-by-step explanation:
Absolute value of -9 is 9 so then 123 plus 9.
Twice a number is 12 more than 5 times the number.
Answers
Answer:
-4Step-by-step explanation:
Let the number be x:
2x = 5x + 122x - 5x = 12-3x = 12x = -4It is -4
Write an equation of the line that passes through (-1,3) and is parallel to the line y = 2x + 2.
y =
Answers
y=2x+b
sub given point in
3=2(-1)+b
3=-2+b
Move -2 to the other side a a positive number
b=5
So the equation of the line is y=2x+5
Recycling Tim's family was collecting aluminum cans to recycle. They found out that they would get two.cents for every three cans they collected. If they collected 2,187 cans, how much money did they receive? EXPLAIN YOUR ANSWER PLEASE
Answers
Answer: They received $14.58
Step-by-step explanation:
Set up a proportional relationship
If 2 cents equal to 3 cans then we will represent how 2,187 will be worth by x.
[tex]\frac{0.02}{3} / \frac{x}{2187}[/tex] Cross multiply
3x = 43.74 Divide both sides by 3
x = 14.58
I need help plis I'm struggling in this math problem
Answers
Answer:
D) 13x + 5
Step-by-step explanation:
Combine like terms
Here, 6x and 7x are like terms
5 + 6x + 7x = 5 + 13x
=13x + 5
PLz answer fast with picture of your work on a blank piece of paper
Answers
Answer:2/3
Step-by-step explanation: