If g'(x) = (2-x)x² So how many extreme points does the function g(x) has?
There are 3 extreme points does the function g(x) = (2 - x) x².
What is Function?A relation between a set of inputs having one output each is called a function.
Given that;
The function is,
⇒ g ' (x) = (2 - x) x²
Now,
Since, The function is,
⇒ g ' (x) = (2 - x) x²
We know that;
The extreme points are find as;
⇒ g ' (x) = 0
So, We get;
⇒ g ' (x) = 0
⇒ (x - 2) x² = 0
This gives two values as;
⇒ (x - 2) = 0
⇒ x = 2
And, x² = 0
⇒ x = 0, 0
Thus, The extremes values are;
⇒ x = 2 , 0, 0
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what is the difference between radical and rational exponents
Answer:
there the same
Step-by-step explanation:
in the fruit bowl there are 12 bananas 8 apples and 4 oranges. do for every one orange there are ___ bananas
For every 1 orange in the fruit bowl there are three bananas.
According to the question,
We have the following information:
In the fruit bowl there are 12 bananas, 8 apples and 4 oranges.
Now, in order to find the number of bananas in this fruit bowl for 1 orange can be as written below:
4 oranges = 12 bananas
Now, to find the number of bananas for 1 orange, we will divide the total number of bananas by the number of oranges.
So, we have the following expression:
1 orange = 12/4 bananas
1 orange = 3 bananas
Hence, for every 1 orange in the fruit bowl there are three bananas.
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Mr. Cho received a container of fresh eggs. He sold 1/3
of the eggs in the
morning and sold 320 eggs in the afternoon. At the end of the day, he
found that 1/4
of the eggs were not sold. How many eggs did he receive in
the beginning?
Mr. Cho received 3840 eggs in the beginning.
Let's assume that Mr. Cho received x eggs in the beginning.
In the morning, he sold 1/3 of the eggs, so he had 2/3 of the eggs left. Therefore, he had 2/3 x eggs left after the morning sales.
In the afternoon, he sold 320 eggs, so he had 2/3 × x - 320 eggs left at the end of the afternoon.
At the end of the day, he found that 1/4 of the eggs were not sold, which means that he had 3/4 of the eggs left. Therefore, we have:
3/4 × x = 2/3 × x - 320
Multiplying both sides by 12, we get:
9x = 8x - 3840
Simplifying, we get:
x = 3840
Therefore, Mr. Cho received 3840 eggs in the beginning.
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If the angle measures of a triangle can be expressed as 4x + 6, 7x-14, and 48-x, what is the value of the smallest angle measure
Answer: It will be 34
A square patio had the same number of feet added to its length and width. The
equation A(x) = x² + 12x + 36 represents the area of the new patio in square feet,
where a was the length and width of the original patio, in feet. How many feet were
added to the length and width of the patio?
The required feet added to both the length and width of the patio is 6 feet.
Given that,
A square patio had the same number of feet added to its length and width. The equation A(x) = x² + 12x + 36 represents the area of the new patio in square feet, where 'x' was the length and width of the original patio, in feet.
Here,
According to the question,
A(x) = x² + 12x + 36
A(x) = x² + 6x + 6x + 36
A(x) = (x + 6)(x + 6)
Length = width = x + 6
Thus, the required feet added to both the length and width of the patio is 6 feet.
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help PLZ I NEED ANSWER RIGHT NOWWWWWWWWWWWWWWWWWWWWWWWW
Answer:
4.5 that is the answer because-3 to 0 us 3 then add 1.5
Answer:
The Difference between them is 4 1/2, or 4.5
Step-by-step explanation:
count up every whole number, then count up the 1/4's.
once you reach point G from point F, you will get 4 1/2.
hope this helps.
Isaac goes to the Saturday market with $42 cash. He buys two posters that each cost SP. He leaves the market with $21 cash. What equation
represents this situation?
• 42-p-p=21
• 42/p=21
• 42-p+p=21
•21+42=2•P
The first equation that represents 42 - p -p= 21 is correct.
What is equation and there uses?
An equation is a mathematical statement that express the equality between two or more number of expressions. An equal sign is mandatory for equation. An equation is used to determine unknown values in terms of variables. In our everyday life equation is used by many professionals necessarily. By using equation many complicated problems can be easily solved within a limited time.
What equation represent the statements given in question?
Isaac has $42 cash in hand when arrived Saturday market.
He buys two posters that each cost selling price or SP.
when he leaved the market had $21 cash in hand.
assume, each poster has a price = p
The situation is represented by the following.
initial amount - cost for two posters = final amount
42 - p - p = 21
hence, the first equation that given in the question is correct.
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_____: a statistics student interviews each member from each of the five randomly chosen math classes at a university.
A sample : a statistics student interviews each member from each of the five randomly chosen math classes at a university.
A sample is a subset of a larger population that is selected for analysis or study. In statistics, sampling is a technique used to gather data from a portion of a population in order to make inferences about the population as a whole.
Sampling helps to reduce the amount of data that needs to be collected and analyzed, making the research process more manageable and cost-effective.
In the scenario you described, a statistics student is conducting a study where they aim to gather data from a group of individuals at a university. To do this, they have selected five math classes at random and are interviewing each member of each class.
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Given `∆QRS≅∆TUV,` QS = 5v + 2, and TV = 8v - 7, find the length of QS
Answer:
3
Step-by-step explanation:
You have to equate them so...
5v+2=8v-7
I hope this helps you!
If the cost of 1 kg of oranges is Rs. 42.50, find the cost of 3.5 kg of oranges.
Answer:
1kg = Rs. 42.50
3.5kg = 3.5*42.50
=Rs. 148.75
I hope you know this answer
Find the value of ab when a = 2/11
and b = 10/11
Answer:
20/121
Step-by-step explanation:
\(ab=\left(\frac{2}{11} \right) \left(\frac{10}{11} \right) \\ \\ =\frac{(2)(10)}{(11)(11)} \\ \\ =\frac{20}{121}\)
1. Which of the following ordered pairs is a possible solution to the equation y = 3x - 2?
Answer:(1,1)
Step-by-step explanation:
just got it on the quiz
HELP IM TIMED I WILL GIVE YOU BRAINLIEST!!!! The ordered pairs graphed are all equivalent ratios. What ordered pair is missing from the graph? A.(6, 7) B.(6, 8) C.(6, 9) D.(7, 9)
The answer is D because The ordered pairs graphed are (2,3), (6,9), and (8,12). They all have a ratio of 2 to 3. Which means each point is 2 larger on the x-axis and 3 larger on the y-axis than the previous point. The point that is missing is (4,6) since 2 + 2 = 4 and 3 + 3 = 6.
Hey, I'm Chris and I'll be helping you with this problem.
Answer :
Your answer would be
C. (6,9)
If you set out all the points you can get a table.
2 | 3
4 | 6
? | ?
8 | 9
You can see the pattern and can easily fill in (6,9)
Good luck on the rest of your assignments.
Best,
Chris
What is the solution to the system of equations? (You can either do the substitution or elimination method) x - 2y = 19 x + 3y = 14 (1.-17) (-1, 17) (-17, 1) (17,-1)
Answer:
D. (17,-1)
Step-by-step explanation:
We'll start by canceling out x. To do so, multiple the first equation by -1
-1( x - 2y)=( 19 )(-1)
This gives us:
-x +2y = -19
x + 3y = 14
Add the equations together:
→ 5y = -15
→ y = -1
Plug in y = -1 into an equation:
→ x + 3(-1) = 14
→ x - 3 = 14
→ x = 17
(17,-1)
Hope this helps!
The weights X of an animal are distributed according to the
probability distribution shown.
What is the probability that the animal's weight will be less than
151 pounds?
O 0.25
O 0.50
O 0.60
O 0.75
The probability that the animal's weight will be less than 151 pounds is 0.50.
The correct option is B.
What is the probability that the animal's weight will be less than 151 pounds?Since the given probability distribution ranges from 148 to 152, and we need to find the probability that the animal's weight will be less than 151 pounds, we can add the probabilities corresponding to the weights less than 151.
From the distribution, we see that the probability of the animal's weight being less than 151 pounds is 0.2 + 0.3 = 0.5.
Therefore, the answer is O 0.50.
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A car-carrier trailer weighs 35,000 pounds when empty. The driver loads 7 cars on the trailer. The cars are identical except for color. The weight of the loaded trailer is 50,855 pounds. The maximum vehicle weight allowed on U.S. highways is 80,000 pounds. What number best describes the weight of one car?
Answer:
Each car weighs 2,265 pounds
Step-by-step explanation:
Given that the car carrier weighs 35,000 pounds when empty, that is, without cars, and that loading 7 cars its weight is 50,855 pounds, the difference between both values implies the weight of the 7 cars together, which is determined through the following calculation:
50,855 - 35,000 = X
15.855 = X
Thus, the weight of the 7 cars together is 15,855 pounds. In turn, the weight of each particular car is determined from the following division:
15.855 / 7 = X
2,265 = X
Therefore, each car weighs about 2,265 pounds.
determine which equation below has a solution of x= 1/2
Answer:2x-1=0
Step-by-step explanation:
x=1/2
Cross multiply
2x=1
Subtract 1 from both sides
2x-1=1-1
2x-1=0
The equation below has a solution of x= 1/2 will be 2x-1=0.Option A is correct.
What is the equation?A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
Given expression;
x=1/2
2x=1
Take 1 away from both sides.
2x-1=1-1
2x-1=0
The equation below has a solution of x= 1/2 will be 2x-1=0.
Hence, option A is correct.
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Matthew examines the relation shown in the below.
{(4,-11), (3,1), (0,1), (2,6), (3, -1)}
Is the relation a function? Why or why not?
No. There are x values which map to more than 1 y-value.
Yes. Every y-value maps to exactly 1 x-value.
No. There are y-values which map to more than 1 x-value.
Yes. Every x-value maps to exactly 1 y-value.
No, there are x values which map to more than 1 y-value.
Given that Matthew examines the relation as shown in the below.
{(4, -11), (3,1), (0,1), (2,6), (3, -1)}
We need to check whether the relation is a function or not,
So, we know that,
A relation can map inputs to multiple outputs. It is a function when it maps each input to exactly one output. The set of all functions is a subset of the set of all relations.
If any x values are repeated, and the corresponding y values are different, then we have a relation and not a function.
Here we can see that the y values are repeated, so it is not a function.
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4. Uncle Royce is 42. What is his target heart rate range?
O 120-180 beats per minute
O 150-200 beats per minute
O116-160 beats per minute
O170-236 beats per minute
Step-by-step explanation:
70 to 85 % of his maximum
Maximum is estimated to be 220 - age = 220 - 42 = 178
70% of this is 125
85 % is 89 151
I believe I would go with the third choice 116-160 bpm
Which of the following is a solution of 12x-7> 67
Answer:
6.2 (Approximated).
Step-by-step explanation:
12x-7 > 67
Add 7 to both sides.
12x > 74
Divide 12 from both sides.
12/12x > 74/12
Final answer
x > 6.2 (approximately)
What is a solution to this equation? (1 – 3x)^1/2 - 1 = x
Answer:
x=0. You can plug this solution in to check.
Step-by-step explanation:
Answer:
the answer is 0
hop this helped :)
Step-by-step explanation:
Not sure how to do this.
Answer:
5ft into 7ft
Step-by-step explanation:
To simply a rational expression I should
Answer:
Factorize, then divide the common factors.
Step-by-step explanation:
A rational expression is one that involves the division of two polynomials. The two polynomial having the same variable in each expression.
To simplify a rational expression, the first thing to do is to factorize each expression. This would ensure that there exist a common factor between the numerator and denominator.
Then you can divide by the common factor.
The remaining expressions in the quotient would have been reduced to their simplest form.
Will mark brainliest!! Please do the two in green using cos!!
Answer: 23.36 and 46.67
Step-by-step explanation:
Number 1:
\(cos(32) = \frac{x}{28}\)\(cos(32)(28) = x\)\(23.36 = x\)Number 2:
\(cos(57) = \frac{42}{x}\)\(cos(57)(x) = 42\)\(x= \frac{42}{cos(57)}\)\(x = 46.67\)A semicircle of diameter 1 sits at the top of a semicircle of diameter 2, as shown. The shaded area inside the smaller semicircle and outside the larger semicircle is called a lune. Determine the area of this lune.
a. π/6 - √3/4
b. √3/4 - π/12
c. √3/4 - π/24
d. √3/4 + π/24
e. √3/4 + π/12
The required area of the lune is (D) √3/4 - π/24.
What is the area?The measurement that expresses the size of a region on a flat or curved surface is termed area.
Surface refers to the area of a surface or the boundary of a tri structure, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.
So,
The lune's area is equal to the smaller semicircle's area minus the segment's area.
The area of the segment is equal to the sum of the areas of the sector and the triangle formed by the intersection points and the larger semicircle's center.
Additionally, because all of the sides are one unit, the triangle thus constructed is an equilateral triangle.
Area of the lune = π * 1/8 (60/360 * π * 1² - √3/4 * 1²)
Area of the lune = π/8 - π/6 + √3/4
= √3/4 - π/24
Therefore, the required area of the lune is (D) √3/4 - π/24.
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Graph the point on the graph.
Answer:
see below
Step-by-step explanation:
To graph this equation, start at the origin (0,0) since there is not y-intercept.
Because slope is characterized by rise/run ( i.e. how many units up or down depending on whether it is positive or negative and then however many units to the right.
Because the rise (up and down, numerator) is 1, we know that we will go up one unit.
The run (side to side, denominator) is 4, so we will go to the right 4 units.
This makes the first point (4, 1).
Continue doing this until you get an idea of the line and connect the points to get the graph
Answer:
Info down in Explaination
Step-by-step explanation:
To graph this equation, start at the origin (0,0) since there is not y-intercept.
Because slope is characterized by rise/run ( i.e. how many units up or down depending on whether it is positive or negative and then however many units to the right.
Because the rise (up and down, numerator) is 1, we know that we will go up one unit.
The run (side to side, denominator) is 4, so we will go to the right 4 units.
This makes the first point (4, 1).
Continue doing this until you get an idea of the line and connect the points to get the graph
Rules for dividing fractions
Answer:
To divide fractions, you need to follow these steps:
Flip the second fraction (the one you want to divide by) upside down (this is called taking the reciprocal).
Multiply the first fraction by the reciprocal of the second fraction.
Simplify the resulting fraction if possible.
Here is an example:
1/3 ÷ 2/5
Step 1: Flip the second fraction: 2/5 becomes 5/2.
Step 2: Multiply the first fraction by the reciprocal of the second fraction: 1/3 x 5/2 = 5/6.
Step 3: Simplify the resulting fraction if possible: 5/6 is already in its simplest form.
For more examples and explanatTo divide fractions, you need to follow these steps:
Flip the second fraction (the one you want to divide by) upside down (this is called taking the reciprocal).
Multiply the first fraction by the reciprocal of the second fraction.
Simplify the resulting fraction if possible.
Here is an example:
1/3 ÷ 2/5
Step 1: Flip the second fraction: 2/5 becomes 5/2.
Step 2: Multiply the first fraction by the reciprocal of the second fraction: 1/3 x 5/2 = 5/6.
Step 3: Simplify the resulting fraction if possible: 5/6 is already in its simplest form.
Step-by-step explanation:
brainliest pls
Answer:
Step-by-step explanation:
For dividing fractions:
Remember:
Keep Change Flip
Keep the first the same
Change the sign to multiplication
Flip the second fraction.
EX.
\(\frac{4}{5}\) ÷ \(\frac{1}{2}\) >Keep, Change Flip
=\(\frac{4}{5}\) * \(\frac{2}{1}\) >Now it's multiplication, reduce first if you can
(nothing reduces in this problem), so mulitply
across
= \(\frac{8}{5}\)
100000000 * 100000000
Answer:
1 * 10^16 or 10000000000000000
Step-by-step explanation:
Answer: 1e+16 or 10000000000000000
Step-by-step explanation: Just multiply it
A electric wire touch the ground it 7m from the foot of the pole. If the length of the wire from the top of the pole to the ground is 25m find the height of pole.......
\(...\)
\(\pink{★}\)Height of the pole = BC
\(\pink{★}\)Distance from the foot of the pole and the point = AB = 7 m
\(\pink{★}\)length of the wire of one side = AC= 25m
\(\pink{★} \)∆ ABC is a right angled triangle ∠B = 90°
By Pythagoras theorem :
\(\tt{AC^2 = BC^2+ AB^2}\)
\(\tt{25^2 = h^2+7^2}\)
\(\tt{625 = h^2+49}\)
\(\tt{h^2 =625-49}\)
\(\tt{h^2 = 576}\)
\(\tt{h = \sqrt{576}}\)
\(\tt{h= 24m}\)
The height of pole is 24 m .