Over what interval is the graph of f(x) = -(x + 8)2 – 1 decreasing?
0 (-8, 0)
O (8, 0)
(- 0,8)
(-∞, -8)
Answers
Answer:
(-8, infinity)
Step-by-step explanation:
it's the first option on edge
The solution is, : The given function f(x) is decreasing on the interval :
(-8, +∞).
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
The function is given to be : f(x) = (x + 8)² - 1
To find the interval of decreasing, first find the critical points of the function f(x)
f(x) = (x + 8)² - 1
⇒ f'(x) = 2(x + 8)
Critical Point : x = -8
Now, Intervals are : (-∞ , -8) and (-8, +∞)
For the interval : (-∞ , -8)
f'(x) > 0 ⇒ f(x) is increasing on this interval.
For the interval : (-8, +∞)
f'(x) < 0 ⇒ f(x) is decreasing on this interval.
Hence, The given function f(x) is decreasing on the interval : (-8, +∞).
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Related Questions
The diameter of a cylindrical water tank is 8 ft, and its height is 9 ft. What is the volume of the tank?
Use the value 3.14 for it, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answers
Answer:
The volume of the tank is [tex]452\ \text{feet}^3[/tex].
Step-by-step explanation:
We have,
Diameter of a cylindrical water tank is 8 ft
Height of the water tank is 9 ft.
It is required to find the volume of the tank. The volume of a cylindrical shaped object is given by :
[tex]V=\pi r^2h[/tex]
r is radius of cylindrical tank, r = 4 ft
Plugging all the values in above formula,
[tex]V=3.14\times (4)^2\times 9\\\\V=452.16\ \text{feet}^3[/tex]
or
[tex]V=452\ \text{feet}^3[/tex]
So, the volume of the tank is [tex]452\ \text{feet}^3[/tex].
Sally wants to fill ten 8-inch tea glasses. How much tea does she need?
A) 80 ounces
B) 40 ounces
C) 80 cubic inches
D) Not enough information to answer
Answers
Answer
I believe C considering cubic mass
Answer:
D
Step-by-step explanation:
Giving BRAINLIEST for correct awnser! Factor the expression below.
36a^2-25b^2
Which of the following binomials is a factor of the expression?
A. 4a +25b
B. 4a +5b
C. 6a + 5b
D. 6a + 25b
Answers
Answer:
C. 6a + 5b
Step-by-step explanation:
36a^2-25b^2
Rewriting as
(6a)^2 - (5b)^2
We know this is the difference of squares
(x^2 -y^2) = (x-y)(x+y)
(6a - 5b) (6a+5b)
Answer:
C. 6a + 5b
Step-by-step explanation:
36 is a perfect square, meaning it has two factors that are identical, being 6. 25 is also a perfect square, with its factors being 5, however, in this case, 25 is negative, so we need to have a positive 5 and a negative 5. This gives us:
(6a + 5b) (6a - 5b)
But, the answer choices only have (6a + 5b), so choice, "C," is the answer.
Which of these quadrilaterals are rectangles?
Answers
Answer:Parallelogram, rhombus ,square
Step-by-step explanation:
Marcus has a life insurance policy that will pay his family $35,000 per year if
he dies. If interest rates are at 2.5% when the insurance company has to pay,
what is the amount of the lump sum that the insurance company must put
into a bank account?
O
A. $1 million
O
B. $350,000
O
C. $1.4 million
O
D. $3.5 million
Answers
The correct answer is $1.4 million
The insurance company must put $1.4 million into a bank account.
What is insurance?Insurance is a way to manage your risk. When you buy insurance, you purchase protection against unexpected financial losses. The insurance company pays you or someone you choose if something bad happens to you.
Given that, Marcus has a life insurance policy that will pay his family $35,000 per year if he dies. the interest rates are at 2.5%, we need to find the amount of the lump sum that the insurance company must put into a bank account,
Considering that the interest is Simple interest,
So, SI = PRT / 100
Here, the interest is 35000, P we need to find, r = 2.5 and T = 1
35000 = 2.5P/100
3500000 = 2.5P
P = 1400000
P = 1.4 millions
Hence, the insurance company must put $1.4 million into a bank account.
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IL GIVE YOU BRAINLIST !! * have to get it right * The slope and y-intercept for a linear equation are given. Which graph matches this information?
Answers
Answer: either a or b
Step-by-step explanation:
Suppose the probability of an athlete taking a certain illegal steroid is 10%. A test has been developed to detect this type of steroid and will yield either a positive or negative result. Given that the athlete has taken this steroid, the probability of a positive test result is 0.995. Given that the athlete has not taken this steroid, the probability of a negative test result is 0.992. Given that a positive test result has been observed for an athlete, what is the probability that they have taken this steroid
Answers
Answer:
93.25% probability that they have taken this steroid
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Positive test
Event B: Taking the steroid.
Suppose the probability of an athlete taking a certain illegal steroid is 10%.
This means that [tex]P(B) = 0.1[/tex]
Given that the athlete has taken this steroid, the probability of a positive test result is 0.995.
This means that [tex]P(A|B) = 0.995[/tex]
Positive test:
99.5% of 10%(If the athlete has taken).
100-99.2 = 0.8% of 100-10 = 90%(Athlete has not taken)
Then
[tex]P(B) = 0.995*0.1 + 0.008*0.9 = 0.1067[/tex]
Given that a positive test result has been observed for an athlete, what is the probability that they have taken this steroid
[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.1*0.995}{0.1067} = 0.9325[/tex]
93.25% probability that they have taken this steroid
What is the length of AC? Brainliest for right answer
Answers
Answer:
2.3 units
Step-by-step explanation:
g(t) = 6t - 1
g ( ) = -7
Answers
Answer:
g(-1) = -7
Step-by-step explanation:
Put the given value for g(t) into the first equation and solve for t.
-7 = 6t -1
-6 = 6t . . . . . . add 1
-1 = t . . . . . . . . divide by 6
g(-1) = -7
Answer: -1
Step-by-step explanation:
Which of the following is the image of C after a rotation of 180° about the origin?
A. (-5,2)
B. (-5, -2)
C. (-2,5)
Answers
Answer:
A: (-5,2)
Step-by-step explanation:
algebraically, a 180 rotation about the origin switches the original coordinates of (x,y) to (-x,-y), so the answer would be (-5,2) after plugging the numbers into this formula
What does (h,k) standard for in the standard circle equation?
Answers
Answer:It stands for the center of the equation
Step-by-step explanation:
(x-h)^2+(x-k) ^2=r^2
(h, k) stand for the center of the equation
while r stands for the radius
what type of function has a common rate of change
Answers
Answer:
linear
Step-by-step explanation:
A linear function has a constant rate of change.
_____
The word "common" is usually used to refer to a shared characteristic of two or more entities. It would not ordinarily be used to describe a characteristic of one function. We're not quite sure what you mean by "has a common rate of change."
Determine whether the distribution is a discrete probability distribution. x 0 100 200 300 400 Upper P (x )0 0 0 0 1 Is the distribution a discrete probability distribution? A. Yes comma because the sum of the probabilities is equal to 1. B. Yes comma because the sum of the probabilities is equal to 1 and each probability is between 0 and 1 comma inclusive. C. No comma because the sum of the probabilties is not equal to 1. D. No comma because each probability is not between 0 and 1 comma inclusive.
Answers
Complete Question
Determine whether the distribution is a discrete probability distribution.
xP(x)
0 0.100
1 0.200
2 0.300
3 0.400
Is the distribution a discrete probability distribution?
A. Yes , because the sum of the probabilities is equal to 1.
B. Yes , because the sum of the probabilities is equal to 1 and each probability is between 0 and 1 comma inclusive.
C. No , because the sum of the probabilties is not equal to 1.
D. No , because each probability is not between 0 and 1 comma inclusive.
Answer:
The correct option is B
Step-by-step explanation:
From the question the probabilites are
[tex]p_1 = 0.100[/tex]
[tex]p_2 = 0.200[/tex]
[tex]p_3 = 0.300[/tex]
[tex]p_4 = 0.400[/tex]
The sum of the probability is
[tex]\sum p(x) = 0.100 + 0.200+ 0.300+ 0.400 = 1[/tex]
Which of these are characteristics of good experimental design? Check all that apply. Good experimental design uses different methods for trials in an experiment. Good experimental design allows scientists to replicate experiments. Good experimental design tests only one variable at a time. Good experimental design plans how to record data so the data can be published. Good experimental design involves only one trial in an experiment. Good experimental design includes logging every step and data point of the experiment.
Answers
Answer:21
Step-by-step explanation:9+10
Answer:
B,C,D.F
Step-by-step explanation:
A footbridge has a span of 54 feet. A sign is
to be placed exactly halfway across the bridge. How far will the center of the sign be from each end of the bridge?
Answers
Answer:
27
Step-by-step explanation:
Because if it is halfway, that means
halfway=1/2
1/2=1/2 of 54
54/2 or 1/2 of 54=27
PLS MARK ME BRAINLIEST I NEED IT PLEASE
The center of the sign will be 27 feet apart from both ends of the bridge.
Given that,
A footbridge has a span of 54 feet. A sign is to be placed exactly halfway across the bridge. How far will the center of the sign be from each end of the bridge is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
Since the bridge is 54 feet long,
Now at the center of the bridge, a sign is placed,
So the distance of sign from both ends is equal to half of the total length of the bridge. i.e.
= 54 / 2
= 27
Thus, the center of the sign will be 27 feet apart from both ends of the bridge.
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convert the decimal 0.085to a percent
Answers
Answer:
8.5%
Step-by-step explanation:
Answer:
8.5%
Step-by-step explanation:
0.085
1: Ignore the 0 and take the numbers that is 85
2: Add a percent
3: Answer is 8.5%
Hope this helps.
Factorise 2y^2 + y + 6xy + 9x - 3
Answers
Answer: (2y+3)(3x+y-1)
Step-by-step explanation:
First regroup the terms.
6xy+9x+2y^2+y-3
Second factor 3x out of 6xy+9x
3x(2y)+9x+2y^2+y-3
3x(2y)+3x(3)+2y^2+y-3
And you get
3x(2y+3)+2y^2+y-3
Third factor by grouping
What is the volume of a sphere with a diameter of 6 m, rounded to the nearest tenth of a cubic meter?
Answers
Answer:113 cubic meter
Step-by-step explanation:
Diameter=6
Radius=r=6/2
Radius=r=3
π=3.14
Volume of sphere=4/3 x π x r x r x r
Volume of sphere=4/3 x 3.14 x 3 x 3 x 3
Volume of sphere=(4x3.14x3x3x3) ➗ 3
Volume of sphere=339.12 ➗ 3
Volume of sphere=113.04
Volume of sphere =113 cubic meter
GIVING 100 POINTS FOR THESE 3 PROBLEMS
Answers
Answer:
Step-by-step explanation:
[tex]A=\frac{a+b}{2}*h=\frac{4+7}{2}*3=16.5cm^2[/tex]
[tex]A=\frac{ab}{2} =\frac{4*6}{2} =12in^2[/tex]
[tex]A=wl=6*5=30in^2[/tex]
[tex]12+30=42in^2[/tex]
[tex]A=\frac{a+b}{2}h=\frac{28+40}{2}*30=1020ft^2[/tex]
Wall = A=[tex]\frac{ab}{2} =\frac{6*30}{2}=90ft^2[/tex]
Answer:
16.5cm²42in²90ft²Step-by-step explanation:
Question 1:
A = (a+b/2)h
A = (4+7/2)3
A = (11/2)3
A = (5.5)3
A = 16.5cm²
Question 2:
A = bh/2 = 6*4/2 = 24/2 = 12
A = bh = 6*5 = 30
A = 12 + 30 = 42
A = 42in²
Question 3:
A = (a+b/2)h
A = (28+40/2)30
A = (68/2)30
A = (34)30
A = 1020ft²
A = bh/2
A = 30*6/2
A = 180/2
A = 90ft²
Best of Luck!
It takes you 3/8 of a hour to walk 9/10 of a mile. How far can you walk in 2 hours?
Answers
Answer:
Velocity = distance / time
Velocity = (9/10) / (3/8)
Velocity = (9/10) * (8/3) = 72 / 30 =24 / 10 = 2.4 miles per hour
Therefore, you could walk 4.8 miles in 2 hours.
Step-by-step explanation:
Answer:4.8 miles
Step-by-step explanation:
3/8 of an hour to walk 9/10 of a mile
2 hour to walk ____
Distance walked in 2hr=(2x9/10) ➗ 3/8
Distance walked in 2hr=18/10 ➗ 3/8
Distance walked in 2hr=18/10 x 8/3
Distance walked in 2hr=(18x8) ➗ (10x3)
Distance walked in 2hr=144 ➗ 30
Distance walked in 2hr=4.8 miles
Write eight and fifteen hundredths in decimal notation
Answers
Answer:
8.15
Step-by-step explanation:
Answer:
0.08, 0.15
Step-by-step explanation:
add 5 1/2 kg to 450g
Answers
1kg = 1000g
51/2 kg= 51/2×1000=51×500=25500g
25500g+450g= 25950g
Answer:
[tex]5950g[/tex]
Step-by-step explanation:
[tex]5 \frac{1}{2} kg \\ = 5kg \: 500g \\ = 5500g[/tex]
Now let's add.[tex] \: \: \: \: \: \: 5500g \\ + \: \: \: \: 450g \\ =5950 g[/tex]
So the correct answer is,[tex] = 5950g = 5kg \: 950g[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Yuri's sister Karina is 12 years old. In the equation below, y represents Yuri's age in years.
12 - 3y-2
Which statement accurately relates their ages?
Yuri is 3 years younger than twice Karina's age.
Yuri is 2 years younger than triple Karina's age
Karina is 3 years younger than twice Yuri's age.
O Karina is 2 years younger than triple Yuri's age.
Answers
Answer:
Karina is 2 years younger than triple Yuri’s age
Step-by-step explanation:
two subtracted from 3 times yuri's age
Answer:
The correct option is D. Karina is 2 years younger than triple Yuri’s age.Select the correct symbol to compare the rates.
22 miles in 20 minutes 38 miles in 30 minutes
Answers
Answer:
<
Step-by-step explanation:
22/20=1.1
38/30=1.27
Answer:
<
Step-by-step explanation:
14 points
At the college football game there were 48,000 people. If 77% of the
people at the game were supporters for the home team, how many
people were supporting the home team?*
11,040
36,960
62,338
36,000
Answers
Answer:
11,040 is the answer
Step-by-step explanation:
you just need to subtract
There are 36,960 people were supporting the home team.
What is the percentage?A percentage is a minimum number or ratio that is measured by a fraction of 100.
At the college football game there were 48,000 people.
If 77% of the people at the game were supporters for the home team then we need to find how many people were supporting the home team.
x/ 48000 = 77/ 100
here plugging in all our numbers gives us .
x = (77/ 100)48000
x = 36,960
Therefore, There are 36,960 people were supporting the home team.
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Giving brainliest for CORRECT awnser.
Answers
Answer:
x=8±√35
Step-by-step explanation:
x^2-16x+50=21
Use the formula (b/2)^2 in order to create a new term. Solve for x
by using this term to complete the square.
Exact Form:
x=±√35+8
Decimal Form:
x=13.91607978…,2.08392021…
What is the variable for setting an alarm clock
Answers
Answer: The time in which the alarm clock will sound.
Step-by-step explanation:
The variable is something that can change or be changed.
So in the case of the alarm clock, the variable is the number that you select, which is the number (or hour) in which the alarm clock will make noise, because you have total freedom to change it.
What are the zeros of the quadratic function represented by this graph?
Answers
Answer:
Step-by-step explanation:
answer : C when this graph passes trough x-axis
The zeros of the quadratic function are -3 and 1 represented by this graph.
What is a quadratic function?A quadratic function is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
The zeros of the quadratic function can be determined as the intersection of lines or functions on the x-axis only.
The zeros of the quadratic function are -3 and 1.
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Which rules give a repeating pattern that has a 4 as the 27th number?
Select all that apply.
A. 7. 4.
B. 7, 7, 4
C. 3, 4.6
D.7. 1.4
E. 5. 4.9
Answers
Answer:
i think the answer is b i think i am not sure if that is right but if it is wrong please tell me please :(
Step-by-step explanation:
Trust me, I swear to god I will give brainiest just help me out
Answers
Answer:
1286.8
Step-by-step explanation:
Volume of a cylinder is pi(r²)(h)
The radius is 6.4 and the height is 10
Answer:
1286.1 units³
Step-by-step explanation:
V = πr²h
= 3.14 x 6.4 x 6.4 x 10
= 3.14 x 409.6
= 1286.144 units³
= 1286.1 units³
