Answer:
(no global maxima found)
Step-by-step explanation:
Find and classify the global extrema of the following function:
f(x) = 4 x^4 - 2 x^3 + x - 5
Hint: | Global extrema of f(x) can occur only at the critical points or the endpoints of the domain.
Find the critical points of f(x):
Compute the critical points of 4 x^4 - 2 x^3 + x - 5
Hint: | To find critical points, find where f'(x) is zero or where f'(x) does not exist. First, find the derivative of 4 x^4 - 2 x^3 + x - 5.
To find all critical points, first compute f'(x):
d/( dx)(4 x^4 - 2 x^3 + x - 5) = 16 x^3 - 6 x^2 + 1:
f'(x) = 16 x^3 - 6 x^2 + 1
Hint: | Find where f'(x) is zero by solving 16 x^3 - 6 x^2 + 1 = 0.
Solving 16 x^3 - 6 x^2 + 1 = 0 yields x≈-0.303504:
x = -0.303504
Hint: | Find where f'(x) = 16 x^3 - 6 x^2 + 1 does not exist.
f'(x) exists everywhere:
16 x^3 - 6 x^2 + 1 exists everywhere
Hint: | Collect results.
The only critical point of 4 x^4 - 2 x^3 + x - 5 is at x = -0.303504:
x = -0.303504
Hint: | Determine the endpoints of the domain of f(x).
The domain of 4 x^4 - 2 x^3 + x - 5 is R:
The endpoints of R are x = -∞ and ∞
Hint: | Evaluate f(x) at the critical points and at the endpoints of the domain, taking limits if necessary.
Evaluate 4 x^4 - 2 x^3 + x - 5 at x = -∞, -0.303504 and ∞:
The open endpoints of the domain are marked in gray
x | f(x)
-∞ | ∞
-0.303504 | -5.21365
∞ | ∞
Hint: | Determine the largest and smallest values that f achieves at these points.
The largest value corresponds to a global maximum, and the smallest value corresponds to a global minimum:
The open endpoints of the domain are marked in gray
x | f(x) | extrema type
-∞ | ∞ | global max
-0.303504 | -5.21365 | global min
∞ | ∞ | global max
Hint: | Finally, remove the endpoints of the domain where f(x) is not defined.
Remove the points x = -∞ and ∞ from the table
These cannot be global extrema, as the value of f(x) here is never achieved:
x | f(x) | extrema type
-0.303504 | -5.21365 | global min
Hint: | Summarize the results.
f(x) = 4 x^4 - 2 x^3 + x - 5 has one global minimum:
Answer: f(x) has a global minimum at x = -0.303504
Which point is an x-intercept of the quadratic function f(x)=(x-8)(x+9)
Step-by-step explanation:
An x-intercept of a function occurs when f(x) = 0.
In f(x) = (x-8)(x+9), f(x) will be 0 if either (x-8) is 0 or (x+9) is 0.
Hence, f(x) = 0 when x = 8 or x = -9.
Answer:
The answer is D. (-9,0) on edge
Step-by-step explanation:
is 48 irrational or rational
Answer:
it can be summarised as 48 and is not a perfect square √48 is irrational
Answer:
Rational
Step-by-step explanation:
It's an integer.
An integer is a whole number
Example of integers: -3, -2, -111, 1, 5, 7, 48
Example of non integers: 0.2, -5.3, anything that isn't a whole number
An irrational number is a number that follows the rules below
A real number that cannot be expressed as a ratio between two integers.
Any real number that cannot be expressed as a ratio of two integers.
A real number that cannot be expressed as a rational number
20 points
8x - 3 = 3x + 2
A. One solution
B. Infinite solutions
C. No solutions
please explain how you got it
A one solution because it's x=1
Step By Step explanation:this is the original problem
8x-3=3x+2
we want to have x by itself so. . .
we add three on both sides. it cancels -3. And 2+3=5
8x=3x+5
we subtract 3x on both sides so 8x-3x=5x and 3x cancels on the other side
5x=5
we divide by 5 on both sides to get x by itself
x=1
if it was 1=1 or x=x (the same on both side) it would've been infinite solutions. if the numbers didn't match like 4=6 it would've been no solution
PLS HELP NEED ASAP The formula d=rt gives the distance traveled for a rate r and an amount of time t. A car travels at a rate of 60 miles per hour for 3 hours. What distance did the car travel? 20 miles 57 miles 63 miles 180 miles
Distance = rate x time
Distance = 60 x 3
Distance = 180 miles.
Answer:
180m
Step-by-step explanation:
d= distance traveled => ?m
r= rate => 60m/h
t= time => 3h
Formula=> d=r.t
>d= 60 x 3=> d= 180m
So
d= distance traveled => 180m
r= rate => 60m/h
t= time => 3h
convert improper fraction into mixed fraction 15/2
Answer: 7 and 1/2
Step-by-step explanation:
Suppose x = 7 is a solution to the equation 4x - 2(x + a) = 8. Find the value of a that makes the equation true
Answer:
[tex]a=3[/tex]
Step-by-step explanation:
So we have the equation:
[tex]4x-2(x+a)=8[/tex]
And we want to find a such that x = 7 is a possible solution.
To do so, substitute 7 for x. Thus:
[tex]4(7)-2(7+a)=8[/tex]
Multiply the left and distribute the right:
[tex]28-14-2a=8[/tex]
Subtract:
[tex]14-2a=8[/tex]
Subtract 14 from both sides:
[tex]-2a=-6[/tex]
Divide by -2: "
[tex]a=3[/tex]
So, the value of a is 3.
And our equation would be:
[tex]4x-2(x+3)=8[/tex]
And we're done!
Edit: Incorrect Answer
Answer:
a = 7
Step-by-step explanation:
Mikel gave a \$1.32$1.32dollar sign, 1, point, 32 tip for an order that cost \$8.80$8.80dollar sign, 8, point, 80. Determine whether or not each tip below is proportional to Mikel's tip.
Answer:
The question is incomplete, below is a possible match for the complete question:
Mikel gave a \$1.32$1.32dollar sign, 1, point, 32 tip for an order that cost \$8.80$8.80dollar sign, 8, point, 80. Determine whether or not each tip below is proportional to Mikel's tip. Proportional to Mikel's tip Not proportional to Mikel's tip
1.) \$2.22$2.22dollar sign, 2, point, 22 tip for a \$14.80$14.80dollar sign, 14, point, 80 order
2.) \$1.86$1.86dollar sign, 1, point, 86 tip for a \$10.50$10.50dollar sign, 10, point, 50 order
3.) \$0.78$0.78dollar sign, 0, point, 78 tip for a \$5.20$5.20dollar sign, 5, point, 20 order
Answers
1) proportional to Mike's tip
2) Not proportional to Mike's tip
3) proportional to Mike's tip
Step-by-step explanation:
when two things have the same relative sides, they are said to be proportional.
To determine if the other tips are proportional to Mikel's tip, we will, first of all, determine the size of Mikel's tip, then compare the other tips with it.
Mikel's tip:
$1.32 for $8.80
= [tex]\frac{1.32}{8.80}= 0.15[/tex]
Now, let us compare this with the other tips
1.) $2.22 for 14.80
= [tex]\frac{2.22}{14.80} = 0.15[/tex]
proportional to Mike's tip
2.) $1.86 for $10.50
[tex]\frac{1.86}{10.50} = 0.177\\0.177 \neq 0.15[/tex]
Not proportional to Mike's tip
3.) $0.78 for $5.20
= [tex]\frac{0.78}{5.20} = 0.15[/tex]
proportional to Mike's tip
Answer:
top is correct seconed one is wrong and bottom is correct
Step-by-step explanation:
plz help me I need it urgently
Answer:
answer to the question is $600
The points (8,18) and (24,54) form a proportional relationship. Find the slope of the line through the
points.
Answer:
slope
m=[tex]\frac{9}{4}[/tex]
best of luck!
Answer: 4 3/8 ≈ 4.38
Step-by-step explanation:
To start off, note that 4 3/8 is a mixed number, also known as a mixed fraction. It has a whole number and a fractional number. We have labeled the parts of the mixed number below so it is easier to follow along.
4 = Whole number
3 = Numerator
8 = Denominator
To get 4 3/8 in decimal form, we basically convert the mixed number to a fraction and then we divide the numerator of the fraction by the denominator of the fraction.Step 1: Multiply the whole number by the denominator:
4 × 8 = 32
Step 2: Add the product you got in Step 1 to the numerator:
32 + 3 = 35
Step 3: Divide the sum from Step 2 by the denominator:
35 ÷ 8 = 4.375
That's it folks! The answer to 4 3/8 in decimal form is displayed below:
4 3/8 ≈ 4.38
which of the following shows the correct solution steps and solution to 3x+2=17?
Answer:
x=5/3
Step-by-step explanation:
3x+2=7
3x=7-2
3x=5
divide
x=5/3
HELP ME ASAP FOR BRANETEST * LYCANROC*
Answer:
9+6+9+6
Area: 9×6
Please correct me if im mistaken, multiply those together with a calculator.
Answer:
9+6+9+6
Area: 9×6
Step-by-step explanation:
9+6+9+6=?
area:
Convert 334° to radians. A) 167π 45 B) 167π 50 C) 167π 90 D) 167π 100
Answer:
The answer is option CStep-by-step explanation:
To convert an angle from degrees to radians multiply the number by
[tex] \frac{\pi}{180} [/tex]To convert 334° to radians multiply it by the value above
That's
[tex]334 \times \frac{\pi}{180} \\ = \frac{334\pi}{180} [/tex]We have the final answer as
[tex] \frac{167\pi}{90} [/tex]Hope this helps you
If the domain of a function that is translated up 5 is (-1,8), (-2,4),(-1, -7),
what is the range?
O (-1,3), (-2,-1),(-1,-12)
O (-6,8).(-7,4), (-6, -7)
O (5,8), (3,4),(4,-7)
0 (-1, 13), (-2,9),(-1,-2)
Answer:
The right answer is 0 (-1, 13), (-2,9),(-1,-2).
Step-by-step explanation:
if (-1,8), (-2,4),(-1, -7) has already translated the domain, then all you need to do is add 5 to every range in the relation. To which will become (-1, 13), (-2,9),(-1,-2) .
solve the set of simultaneous equation.
2x + y = 5
x² + y²= 5
Answer:
(-2,9)
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask ÷)
Which of these represents an integer? Select all that apply. (There should be two anwsers) A. -3 B. 4 C. 2 1/2 D. 8/4
translation (x,y) (x+1,y+5)
N (-4,-2) V (-1,-1) Q (-4,-5)
.....//////11111122222222
Use the order of operations to solve the problem. 3 x 2 + 7
Answer:
13
Step-by-step explanation:
3 x 2 + 7
6 + 7 (Do multiplication first)
13 (Then add from left to right)
**EMERGENCY** What is the best way to determine the graph of a situation?
Answer:
you look at the slope and y intercept for example,
y=4x+10
the slope is 4 (increases 4/1 at a time)
and the intercept is 10 (the line hits the y axis at 10)
Step-by-step explanation:
The perimeter of a square is 64 mm. Write and solve an equation to determine the length of each side of the square.
Answer:
64/4=16
Step-by-step explanation:
a square has 4 equal sides so you divide the perimeter by 4 and that will get you the length of one side.
hope this helps
Give 3 fractions which are equivalent to 6/8
Answer:
12/16, 3/4, 18/24
Step-by-step explanation:
Answer:15/20 - 26/36 - 3/4
Step-by-step explanation:
In order for an expression to be an equation, it must have _____. an equal sign a variable an addition sign more than one variable
Answer:
an equal sign
Step-by-step explanation:
what is the greatest common factor of 8 and 16
Answer: 8
Step-by-step explanation: Usually you should use prime factorization or the “ladder” method; however, with questions like this that have small, easy numbers, you can simply think about it. Every number’s largest factor is itself, which means that 8 is at least a factor of 8. We also know that 8 times 2 equals 16, hence, the greatest common factor is 8.
what type of real number is -6.75
Answer:
well 6.75 is actually real and if u times it by 2.89 you should get ur answer sir (:
Step-by-step explanation:
jK
According to the US food and drug administration (fda) what must any product claiming to be organic contain
Answer:at least 95% organically produced ingredients
Step-by-step explanation: Trust me it is the right answer i took the quiz
-9 + 8.3 i just need this and i’m so so confused yes i suck at math lol
Answer:
-0.7 is the answer
Step-by-step explanation:
=>-9+8.3
=>-0.7
Multiply.
5 /11 x 2/7
Answer:
So the answer is 10/77 in decimal is 0.12987
Which two numbers does the square Root of 52 lie between on a number line?
Answer:
between 7 and 8
Step-by-step explanation:
7 squared is 49
8 squared is 64
49 < 52 < 64
is 7.1324 a natural number?
Answer: That is not a natural number
Step-by-step explanation: because natural number are just counting numbers you cant count that
Factor this polynomial.
-2x^2-7x-3
A (-2x+1)(x+3)
B. -1(2x+1)(x+3)
C. (2x-3)(x-1)
D. (2x+1)(x-3)
Answer:
Hey there!
The correct answer is A.
If you multiply it out with the FOIL method, you get -2x^2-7x-3
Let me know if this helps :)
find the greatest common factor of 24 and 54
Answer:
6
Step-by-step explanation:
6 can go into both of them