Answers
Answer:
See Below.
Step-by-step explanation:
We are given the graph of y = f'(x) and we want to determine the characteristics of f(x).
Part A)
f is increasing whenever f' is positive and decreasing whenever f' is negative.
Hence, f is increasing for the interval:
[tex](-\infty, -2) \cup (-1, 1)\cup (3, \infty)[/tex]
And f is decreasing for the interval:
[tex]\displaystyle (-2, -1) \cup (1, 3)[/tex]
Part B)
f has a relative maximum at x = c if f' turns from positive to negative at c and a relative minimum if f' turns from negative to positive to negative at c.
f' turns from positive to negative at x = -2 and x = 1.
And f' turns from negative to positive at x = -1 and x = 3.
Hence, f has relative maximums at x = -2 and x = 1, and relative minimums at x = -1 and x = 3.
Part C)
f is concave up whenever f'' is positive and concave down whenever f'' is negative.
In other words, f is concave up whenever f' is increasing and concave down whenever f' is decreasing.
Hence, f is concave up for the interval (rounded to the nearest tenths):
[tex]\displaystyle (-1.5 , 0) \cup (2.2, \infty)[/tex]
And concave down for the interval:
[tex]\displaystyle (-\infty, -1.5) \cup (0, 2.2)[/tex]
Part D)
Points of inflections are where the concavity changes: that is, f'' changes from either positive to negative or negative to positive.
In other words, f has an inflection point wherever f' has an extremum point.
f' has extrema at (approximately) x = -1.5, 0, and 2.2.
Hence, f has inflection points at x = -1.5, 0, and 2.2.
Related Questions
Using the Principle of Mathematical Induction, prove that . n ^2 − n is even for n ≥ 1
Answers
Base case: if n = 1, then
1² - 1 = 0
which is even.
Induction hypothesis: assume the statement is true for n = k, namely that k ² - k is even. This means that k ² - k = 2m for some integer m.
Induction step: show that the assumption implies (k + 1)² - (k + 1) is also even. We have
(k + 1)² - (k + 1) = k ² + 2k + 1 - k - 1
… = (k ² - k) + 2k
… = 2m + 2k
… = 2 (m + k)
which is clearly even. QED
pls help me , i need it done
Answers
Answer:0.50
Step-by-step explanation:
Range= Highest number - lowest number
=1.50 -1.00= 0.50
Can someone help me solve these 3 trig identity problems? I am stuck on these last 3... I will give brainliest!
(calculators are allowed)
Answers
Answer:
1. 1,246
2. 0,545
3. 0,9539
Step-by-step explanation:
semoga membantu :)
You buy 1.86 pounds of ground beef 2,8
Answers
maybe try 3.87
Hurry!
The simple meaning of a translation is?
O Slide
O Flip
O Turn
O Change in size
Answers
Answer:
to turn
Step-by-step explanation:
to translate in a simple definition is to turn something of a shape into another form of shape example for you to translate a language into another language in a sentence, you have to turn the letters of that language into the specific language that you want to translate
if 3x+7 Y-37 and x = 3, then Y = ?
Answers
Answer:
y = 4
Step-by-step explanation:
Given
3x + 7y = 37 ← substitute x = 3 into the equation
3(3) + 7y = 37, that is
9 + 7y = 37 ( subtract 9 from both sides )
7y = 28 ( divide both sides by 7 )
y = 4
Step-by-step explanation:
Algebraic Expressions Use the Distributive Property to expand each expression 4(3x-9)
Answers
Answer:
12x-36?
Step-by-step explanation:
well 4×3x and 9× 4 gives the answer
How do we show 425/1000 as a decimal?
Answers
Answer:
0.425
Step-by-step explanation:
bro this is like 1st grade math
On Monday Ryan picked a third of a pound of strawberries. On Tuesday he
icked three-fourths of a pound of strawberries. What was the total weight of the
trawberries Ryan picked?
Answers
Answer:
[tex]17 \frac{1}{3} [/tex]
Step-by-step explanation:
1/3 pound = 5.333 ( 5 1/3 ) ounces
3/4 pound = 12 ( 12 ) ounces
100 points-Victoria has $200 of her birthday gift money saved at home, and the amount is modeled by the function h(x) = 200. She reads about a bank that has savings accounts that accrue interest according to the function s(x) = (1.05)^x−1. Explain how Victoria can combine the two functions to model the total amount of money she will have in her bank account as interest accrues after she deposits her $200. Justify your reasoning.
Answers
Step-by-step explanation:
Our interest equation is s(x) = (1.05)^(x - 1). This is actually a part of a bigger formula for calculating the amount of money accumulated including interest:
A = P(1 + r)^n, where A is the total, P is the principal amount (initial amount), r is the interest rate, and n is the time
Here, we technically already have the (1 + r)^n part; it's just (1.05)^(x - 1). The principle, though, will actually be the 200 because she starts out at $200.
Thus, to combine these, we simply multiply them together to get:
h(x) * s(x) = 200(1.05)^(x - 1)
ps.can u pls mark me as the brainliest you'll also get point for that;)
Victoria can combine the two functions to model the total amount of money. Then the equation will be given below.
[tex]\rm h(x) \times s(x) = 200 \times (1.05)^{x-1}[/tex]
What is compound interest?Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.
Victoria has $200 of her birthday gift money saved at home, and the amount is modeled by the function
[tex]\rm h(x) = 200[/tex]
She reads about a bank that has savings accounts that accrue interest according to the function
[tex]\rm s(x) = (1.05)^{x-1}[/tex]
[tex]A = P(1 + r)^n[/tex]
where A represents the sum, P represents the principal (starting amount), r represents the interest rate, and n represents the time.
To combine these, we simply multiply them by each other, yielding:
[tex]\rm h(x) \times s(x) = 200 \times (1.05)^{x-1}[/tex]
More about the compound interest link is given below.
https://brainly.com/question/25857212
what is the solution of linear equation of cosx(e^2y-y)=e^y sin2x
Answers
This is college? Woah I'm not advanced. Middle school!
Find the value of 9 - [4 2 - (3 + 2)].
8
6
-2
Answers
Answer:
-2
Step-by-step explanation:
9 - [4^2 - (3 + 2)]
PEMDAS says parentheses first
Working from inside out
9 - [4^2 - (5)]
9 - [16 - (5)]
9 - [11]
Subtract
-2
Step-by-step explanation:
hope it is visible and makes sense
:)
helppp
find the measure of the missing angles
Answers
Answer:
B and c both equal 46
Step-by-step explanation:
134-180=46
B and c are verticle angles they will equal the same number
(18 - 3)2 = ?
show your work
help me pls ty
Answers
Answer: 30
Step-by-step explanation:
18 - 3 is in the parenthesis so you have to solve that first. it’s 15 so the equation would then become (15)2 which is equal to 15 times 2. 15 times 2 equals 30.
Determine if the following are functions of x.
(a) 5(y + 1)3 + x2 = 1
Answers
9514 1404 393
Answer:
is a function
Step-by-step explanation:
The graph passes the vertical line test, so the relation is a function of x.
-1 and 3 tenths plus 4 tenths
Answers
The answer you are looking for is -9/10, or -0.9.
Solution:
-1 3/10+4/10
-13/10+4/10
-9/10, or -0.9
Answer:
-0.9
Step-by-step explanation:
Algebra Please Help!!
Answers
Answer:
c = 5/9 (F-32)
F-32 = c ÷ (5/9)
F-32 = c × (9/5)
F-32= 9c/ 5
F= (9c/5) + 32
I hope I helped you^_^
Which of the following correctly represents the movement on the number line for the calculation 21 - (- 15) + (- 30) ?
Answers
Answer:
It moves 6 to the right.
Step-by-step explanation:
21 -(-15) = 36
36+(-30)=6
Find the x-intercept of the line graphed by the equation x - 7y = 7. (0, 14) (7, 0) (14, 0) (0, 7)
Answers
To find the x-intercept, substitute y＝0
x－7×0＝7
x－0＝7
x＝7
∴ the x-intercept of the line is (7,0)
447,077 is ____________________then 347,077.
Fill in the blank.
Answers
447,077 is greater than 347,077
447,077 greater than 347,077 by 100,000
447,077-347,077= 100,000
I can list more if you want! I hope I've helped!
Which of the following statements is false?
If a number is divisible by 8, it must be divisible by 4.
If a number is divisible by both 9 and 10, it is divisible by 90.
The sum of two consecutive odd numbers is always divisible by 4.
If a number is not divisible by both 3 and 4, it is divisible by 12.
Answers
Answer:
The last one
Step-by-step explanation:
It doesn't make sense for that to be true
Consider the equation −8x−5y=−10
A line parallel to the above line would have a slope of
A line perpendicular to the above line would have a slope of
Please Help!!
Answers
Answer:
Explanation :
The slope of the line with the equation -8x - 5y= -10 is -8/5 so the line parallel to it will have a slope of -8/5 because parallel limes have the same slope.
The line perpendicular to it will have a slope of 5/8. This is because the slopes of perpendicular lines add up to -1.
Hope this help
What is the value of the expression?
3 * [(2 * 6 - 5) + (8 divided by 4)] - 1
A. 9
B. 11
C. 26
D. 32
Show Work!
Answers
[tex]3\cdot[(2\cdot6-5)+(8:4)]-1=\\\\=3\cdot[(12-5)+2]-1=3\cdot(7+2)-1=\\\\=3\cdot9-1=27-1=\boxed{26}[/tex]
Indicate which is the largest decimal in each of the following pairs.
0.01 and 0.005
Answers
Answer:
0.01Step-by-step explanation:
0.01 is the largest decimal in the pair of 0.01 and 0.005
Given: g(x) = -4x and h(x) = 4x +3
Find: g(h(x+1))
Answers
Answer:
-16x-28
Step-by-step explanation:
h(x+1)= 4(x+1)+3 = 4x+7
g(h(x+1))= -4[4x+7] = -16x-28
Carmen is riding her bicycle. She rides for 22.5 kilometres at a speed of 9 kilometers per hour. For how many hours does she ride?
Answers
Answer:
2.5 hours
Step-by-step explanations:
22.5/9 = 2.5
Hope this helps! :D
find the smallest n so that all all of the numbers are natural, 27+n, n/3 , square root of (n+16)
Answers
Answer:
9
Step-by-step explanation:
We know it has to be a multiply of 3
27 + 3 = 30 nat number
3/3 = 1 nat number
sq root 19 not nat number
27 + 9 = 36 nat number
9/3 = 3 nat number
sq root 25 = 5 nat number
correct!
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
(b) Ivanna bought 9 pounds of flour for $5.
How many pounds of flour did she get per dollar?
Answers
Answer:
1.8 pounds per dollar
Step-by-step explanation:
Take the pounds and divide by the dollars
9 pounds / 5 dollars
1.8 pounds per dollar
write the simplest form 1/6 + 2/3 + 3/4
Answers
Answer: The answer is 1 7/12
Which expression has a negative value?
7-31-4/2)
(15-7)-(9:3)
0-517+(-14) ]- 30
Answers
Answer:
the answer is 7+3(-4)(2)