Answer: C) local maximum at x = -3; local minimum at x = 1/3
Step-by-step explanation:
Given the function:
f(x) = x^3 + 4x^2 - 3x - 4
Set f'(x) = 0
f'(x) = 3x² + 8x - 3
f'(x) = 0
3x² + 8x - 3 = 0
Using the quadratic function calculator :
x = - 3 or x = 1/3
Critical points = - 3 ; 1/3
To find the maximum and minimum points :
f''(x) = 6x + 8
Substitute the values of X in
At x = - 3
6(-3) + 8
-18 + 8 = - 10
At x = 1/3
6(1/3) + 8
2 + 8 = 10
Value of f''(x) at - 3 is negative, hence - 3 is the maximum point
Value of f''(x) at 1/3 is positive , hence 1/3 is the minimum point
Simplify the following fraction 25/100
Answer:
1/4
Step-by-step explanation:
25 goes into 100 four times
Round 2,516 to the nearest hundred.
Answer:
2,500
Step-by-step explanation:
Chelsea earned $85
while babysitting. She
spent $42 on gas for her
car and $17 on dinner
with a friend. How much
money does she have
now?
Answer:
$85-$42-$17=$26
Step-by-step explanation:
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Complete the table below to show the number of rods in staircase frames with different number of steps
A number n minus 10 is no more than 25.
Answer: n - 10 ≤ 25
Step-by-step explanation:
Convert the equation 3x^2+3y^2+6x+24y=9 to the standard form of a circle
Answer:
3 x 2 + 3 y 2 + 6 x = 0
Cuantos paquetes de 10 vasos ocupo para empacar 1367 vasos
Queremos encontrar y resolver una expresion algebraica para ver cuantos paquetes necesitamos para empacar los vasos.
La solución es 137 paquetes.
Veamos como obtener la solución.
Cada paquete puede sostener 10 vasos, y tenemos un total de 1367 vasos.
Entonces lo que debemos ver es cuantos grupos de vasos tenemos en 1367, esto será simplemente el cociente entre 1367 y 10.
1367/10 = 136.7
El problema ahora es que no podemos sar un 0.7 de un paquete, así que debemos redondear esto al proximo número entero, que es 137.
Así, podemos concluir que se necesitaran 137 paquetes para empacar los 1367 vasos.
Si quieres aprender más, puedes leer.
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If x is 6, then 7x =
Answer:
42
Step-by-step explanation:
Answer:
42 is the answer because 7*6
simplify. can you please help? I don’t know how to do negative exponents. And I forgot how to do exponents.
What tranformatuon were applied
Answer:
180 counter clockwise............
The mean and standard deviation of a normal distribution are 150 and 12
respectively. What percentage of values lie between:
a) 138 and 162
b) 126 and 174
c) 126 and 162
d) 162 and 174
a) (150 - 138) / 12 = 1 deviation or 34%
(162 - 150) / 12 = 1 deviation or 34%
34% + 34% = 68%
b) (150 - 126) / 12 = 2 deviations or 47.5%
(174 - 150) / 12 = 2 deviations or 47.5%
47.5% + 47.5% =95%
c) (150 - 126) / 12 = 2 deviations or 47.5%
(162 - 150) / 12 = 1 deviation or 34%
47.5% + 34% = 81.5%
d) (162 - 150) / 12 = 1 deviation or 34%
(174 - 150) / 12 = 2 deviations or 47.5%
This problem is a little different. We have to subtract 34% from 47.5%
47.5% - 34% = 13.5%
7/8 divided by 6 help me NOW please
Answer:
0.14583333333
Step-by-step explanation:
0.14583333333
Kevin is 5 1/2 feet tall. Jane is 5 3/8 feet tall. Who is taller. How much taller.
Answer:
It's Kevin
Step-by-step explanation:
If you convert the fractions, Kevin is 5 4/8, while Jane is 5 3/8
Therefore, Kevin is 1/8 taller
Answer:
Kevin is taller by 1/8 feet
Step-by-step explanation:
5 4/8 - 5 3/8 = 1/8
Hope this helps, have a great day:)
The age of Noelle’s dad is 6 less than 3 times Noelle’s age. The sum of their ages is 74. Find their ages
Answer:
Noelle: 20 Dad: 54
Step-by-step explanation:
The age of Noelle's Dad is 6 less than 3 times Noelle's age looks like this:
d=3n-6
While the sum of their two ages is 74, looks like this:
n+d=74
The system is:
{d=3n−6
{n+d=74
Now, substitute the first equation into the second equation and solve for n.
n+(3n−6)=74
4n-6=74
Add 6 to both sides
4n=80
Divide both sides by 4
n=20 (<---- Noelle's Age!)
Now plug n into the second equation
d=3(20)-6
d=60-6
d=54 (<---- Noelle's Dad's Age!)
I NEED AN ANSWER NOW ASAP
Answer:
Apparently i cant see the photo im am so sorry but do need pints.
Step-by-step explanation:
Answer:
option b & option c & option d
Step-by-step explanation:
option a: The left side − 0.475 is not less than the right side − 0.5 , which means that the given statement is false.
option b: The left side − 0.3 is less than the right side 0.1 , which means that the given statement is always true.
option c: The left side 9.05 is greater than the right side − 9.72 , which means that the given statement is always true.
option d: The left side 1.5 is equal to the right side 1.5 , which means that the given statement is always true.
12, 60, 300, ...
Find the 9th term.
The sum of the measures of the angles of a triangle is 180. The sum of the measure of the second and third angle is five times the measure of the first angle. The third angle is 16 more than the second. Let x, y, and ,z represent the measures of the first second and third angles
Answer:
x = 30 degrees
y = 67 degrees
z = 83 degrees
Step-by-step explanation:
Since x, y , and z are the angle measure for the first, second and third angle respectively, we can write the following equations following the statements given:
The sum of the measures of the angles of a triangle is 180:
(1) x + y + z = 180
The sum of the measure of the second and third angle is five times the measure of the first angle:
(2) y + z = 5 x
The third angle is 16 more than the second:
(3) z = y + 16
Now we solve the system of three equations. We use the third equation to replace z in the second one:
y + (y + 16) = 5 x
then : 2 y = 5 x - 16; then y = 2.5 x - 8
So , now we can replace this expression for y in the third equation:
z = (2.5 x - 8) +16 = 2.5 x + 8
and finally we made the replacements of y and z shown above in bold, in the first equation:
x + (2.5 x - 8) + (2.5 x + 8) = 180
x + 5 x = 180
6 x = 180
then x = 180/6 = 30 degrees
From this, we get the value of the other angles:
y = 2.5 (30) - 8 = 67 degrees
z = 2.5 (30) +8 = 83 degrees
I am thinking of a number. I take away 5. The result is 14. What number did I think of
Answer:
19 is the number which you think of.
Pls,mark me as Brainliest.
please help meeeeeeeee
Answer:
2 4/5 and 3 2/3
Step-by-step explanation:
find how many times the denominator can go into the numerator the left over numbers are now your second part of the fraction going with the whole number
plzzzzzz helpppppp meeeeee
Multiples of six and 8
Answer:
Multiples of 6: 6, 12, 18, 24, 30, 36 Multiples of eight:8, 16, 24, 32, 40,
Step-by-step explanation:
Urgent please answer
Answer:
24
Step-by-step explanation:
-12 x -2 = 24
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{24}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 12( - 2)}[/tex]
[tex] \dashrightarrow{ \sf{( - 12) \times ( - 2)}}[/tex]
Multiplying or dividing a negative integer by a negative integer gives a positive integer
i.e ( - ) × ( - ) = ( + )
( - ) ÷ ( - ) = ( + )
[tex] \dashrightarrow{ \boxed{ \sf{24}}}[/tex]
Hope I helped!
Best regards! :D
Please helpppp.
Name the property of it then simplify.
7+n=7+3
Answer:
I got u
Solve for n by simplifying both sides of the equation, then isolating the variable.
n=3
Step-by-step explanation:
Answer:
communitative property
n=3
There are 7 fewer cups than plates. There are 4 cups. How many plates are there?
Answer:
-3 plates
Step-by-step explanation:
Subtract 7 - 4 = 3. Since there are 7 FEWER plates then you add a negative sign in front of it.
Jeff bought 10 cookies and ate 4 of them. He ate ____% of the cookies. (Make sure to enter the answer using numbers only. Do not enter special characters such as the percent symbol.)
Answer:
40 percent
Step-by-step explanation:
4/10=40/100=40 percent
What number should be added to 78to get a sum of 97
THE ANSWER TO THAT PROBLEM IS SIMPLY 175
Answer:
19
Step-by-step explanation:
All you need to do is subtract 78 from 97 to find the "remainder." Or you can also add until you get to 97.
97 - 78 = 19
78 + 19 = 97.
find the sum 9/10 + 4/100 =?
Exact Form: 47/50
Decimal Form: 0.94
The perimeter of the triangle below is 99 units. Find the length of side WX.
Write your answer without variables.
X
4z
wx = 0
Х
V
2 + 2
3z + 1
w
Check
Answer:
14
Step-by-step explanation:
Perimeter= 99
XV+VW+WX=99
4z+3z+1+z+2=99
8z+3=99
8z= 96
z=96/8
z= 12
WX= z+2= 12+2= 14.
Hope it helps :-)
There are 48 empty seats and 52 occupied seats on an airplane. What is the ratio of the number of empty seats to the number of occupied seats?
Answer:
48/52
Step-by-step explanation:
can somebody help me !
Answer:
[tex] \angle 1[/tex]
Step-by-step explanation:
[tex] \angle 1[/tex] is not congruent to [tex] \angle 6[/tex]