Step-by-step explanation:
I think you mean : YOU want to know the local minimum and maximum values, so that you can answer the question.
we are not doing it for "them", we are doing it for YOU. you are the only one benefiting from the exercise. nobody else. that is why you are supposed to do it.
so, now, focus.
what does that mean : local maximum and local minimum ?
what do you think ?
is the functional value displayed to the right and left of the graph ?
no. the functional value is the y-value to a given x-value and is displayed up and down on the graph.
so, we are looking for some maximum and minimum values in the up/down direction.
where will be the (local) maximum compared to the (local) minimum value ? above or below the minimum value ?
since going up makes the y-value larger, the maximum will be above the minimum, and the minimum will be below the maximum.
are we looking for the overall maximum and minimum ?
no, we are looking for local (that means just in the near neighborhood of the point) maximum and minimum values.
that means that when going left or right of the local maximum value, the curve will go down, but might later go back up again (and then maybe even higher than the maximum we found before).
and when going left or right of the local minimum value, the curve will go up, but might later go back down again (and then maybe even lower than the minimum we found before).
so, look at the graph : where is the curve going up and then suddenly turns around and goes down again ? at what point is that ?
aha, at x = -6 (and the corresponding local maximum y-value = 0). that is our local maximum.
the local maximum value is therefore 0, at the local maximum point (-6, 0).
and at what point is the curve suddenly turning from going down to going up again ?
aha, at x = -2 (and the corresponding local minimum y-value = -8). that is our local minimum.
the local minimum value is therefore -8, at the local minimum point (-2, -8).
to make the difference between local and general maximum/minimum points clearer, the graph indicates that the general maximum is +infinity, and the general minimum is -infinity.
in other words, there are no general maximum and minimum values, as infinity cannot be reached ever. only after infinity, which is not a possible number for any x- value.
Brainliest if correct
4w-4y-2
hope this helps
1+1+3-4
A.1
B.4
C.11
D.2,222,222,222.222
Answer:
A.
Step-by-step explanation:
1+1+3-4
1+1=2
3-4=-1
2+-1=1
Answer:
A.1
Step-by-step explanation:
because 1+1=2 then you take 2 from that and add it to 3
2+3=5 then you get 5. now you have to subtract 4 from 5
5-4=1 and it gives you 1.
Which expression is equivalent to the
following?
help me pls
Answer:
(s^a×s^b)/s^c is equivalent to s^(a+b-c)
Answer:
second last one
Step-by-step explanation:
One lap around a standard high-school running track is exactly 0.25 miles. Write the function miles_to_laps() that takes a number of miles as an argum
Answer:
Step-by-step explanation:
The following code is written in Python. It is a function that takes in the number of miles as an argument and returns the number of laps that those miles represents.
def miles_to_laps(miles):
laps = miles / 0.25
return laps
Using log evaluate 3^x=10
Answer:
x ≈ 2.09590327429
Step-by-step explanation:
You want the solution to 3^x = 10 using logarithms.
LogsTaking logarithms of both sides of the given equation, we have ...
x·log(3) = log(10)
Dividing by the coefficient of x gives ...
x = log(10)/log(3)
x ≈ 2.09590327429
__
Additional comment
If the logarithm to the base 10 is used, then this becomes ...
x = 1/log₁₀(3)
The meaning of "log( )" varies with the context. In high-school algebra, it usually means "log₁₀( )". In other contexts, it may mean "ln( )", the natural logarithm.
For the purpose here, it doesn't matter what base the logarithms have, as long as log(10) and log(3) are to the same base.
<95141404393>
The approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.
To evaluate the equation 3^x = 10 using logarithms, we can take the logarithm of both sides of the equation. The most commonly used logarithm is the base 10 logarithm, also known as the common logarithm (log).
Taking the log of both sides, we get:
log(3^x) = log(10)
Now, we can apply the logarithmic property that states log(a^b) = b * log(a). Applying this property to the left side of the equation:
x * log(3) = log(10)
Next, we can divide both sides of the equation by log(3) to isolate the variable x:
x = log(10) / log(3)
Using a calculator, we can evaluate the right side of the equation:
x ≈ 1.46497
Therefore, the approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.
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Two functions are by f(x)=3x+18(x)= 2 x1. Find (g.f) (x).
The (g.f)(x) of the two functions is:
(g.f) (x) = 6x + 37
How to find (g.f)(x) of the two functions?A function is an expression that shows the relationship between the independent variable and the dependent variable. A function is usually denoted by letters such as f, g, etc.
To find (g.f) (x), follow the steps below:
1. Substitute the value of f(x) into the function g(x).
2. Then simplify the expression.
That is:
f(x) = 3x+18
g(x) = 2x+1
Thus, we have:
(g.f) (x) = g(f(x))
(g.f) (x) = g(3x+18)
(g.f) (x) = 2(3x+18) + 1
(g.f) (x) = 6x+36 + 1
(g.f) (x) = 6x + 37
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A line connects any two given points
Answer:
A line segment is a straight line that connects two points. It is the shortest path between the two points.
Step-by-step explanation:
Answer:
A line segment
Step-by-step explanation:
A line segment connects any two given points.
Alexandra and Maris are playing a game where they guess how many sides the regular polygon the other is holding has. Alexandra says her regular polygon has exactly 12 lines of symmetry. Maris says her regular polygon has an angle of rotational symmetry of 24°. How many sides does each regular polygon have?
The number of sides of Alexandra's regular polygon is 12.
The number of sides of Maris's regular polygon is 15.
What is a regulars polygon?
A regular polygon is denoted a area. The area bounded by equal length of arms. The angel between any two consecutive arms will same any other pair of consecutive arms.
The number of line of symmetry of a polygon is the same is the number of arm or sides of that polygon.
Thus the number of sides of a polygon that has 12 lines of symmetry is 12.
The angle of rotational symmetry of a polygon is 360°/n, where n is the number of arms.
Therefore,
Angle of rotational symmetry = 360°/n
Putting Angle of rotational symmetry = 24°:
24° = 360°/n
Multiply both sides by n
24n = 360
Divide both sides by 24:
n = 360/24
n = 15
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The formula for any arithmetic sequence is an = a1 + d(n - 1), where an represents the value of the nth term, a1 represents the value of the first term, d represents the common difference, and n represents the term number. What is the formula for the sequence -1, -5, -9, ...?
an = -1 + 4( n - 1)
an = -1 + (-4)( n - 1)
an = 4 + (-1)( n - 1)
an = -4 + (-1)( n - 1)
Answer: The correct formula for the sequence -1, -5, -9, ... is an = -4 + (-1) n - 1). This formula uses the common difference of -4 and the first term of -1 to calculate the value of the nth term in the sequence.
Select all the correct answers.
The square of a number is 3 less than four times the number. Which values could be the number?
1
О
-1
-3
3
Answer:
1 or 3
Step-by-step explanation:
If we let x represent the number, we're told that ...
x^2 = 4x -3
x^2 -4x +3 = 0
(x -1)(x -3) = 0
The number could be either of the x-values that make these factors zero.
1 or 3
is –68 + 90 positive or negative?
Answer:
22. positive
Step-by-step explanation:
–68 + 90
22
find the point p that partitions the line segment AB given the ratio. A(3,5)B(4,3) with the ratio. 3:1
The coordinates of p which divides the line AB in ratio 3:1 is (3.75, 3.5).
What is section Formula?The section formula provides the coordinates of a point that, either internally or externally, divides the line connecting two locations in a ratio.
P ( x , y ) = ( c ⋅ m + a ⋅ n m + n , d ⋅ m + b ⋅ n m + n ) .
Ratio of line = 3:2
m and n represents the ratios 3:2
let the coordinates of p(x, y).
using Section formula
= [ (3(4) + 1(3) / (3+1), 3(3) + 1(5) / 3+ 1]
= (15/ 4, 14/4)
= (3.75, 3.5)
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A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses. If there are N packages (N ≥ 2) and the total value of them is $2021 and if each of X, Y, and N are positive integers, what is X+Y+N?
If each of X, Y, and N are positive integers, then the value of X+Y+N is 212.1
What are system of inequalities?A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.
WE are given that A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses.
X = 7
Y = 10
If there are N packages (N ≥ 2) and the total value of them is $2021
X + Y = One packages
N packages = N(X + Y ) = 10 N
if each of X, Y, and N are positive integers, then;
10 N = 2021
N = 2021/10
N = 202.1
Therefore, X+Y+N = 10 + 202.1 = 212.1
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What is a perfect square 6^1
A perfect square refers to a number that is the result of multiplying an integer by itself. In this case, 6^1 is equal to 6.
However, 6 is not a perfect square because it cannot be obtained by multiplying an integer by itself. The perfect squares up to 6^1 would be 1^2 = 1 and 2^2 = 4.
Consider the equation, where p is a real number coefficient.
- (px - 2) = 9
What is the value of x in the equation?
Answer:
x = 7/-p
Step-by-step explanation:
-(px - 2) = 9
-px + 2 = 9
-px = 7
x = \(-\frac{7}{p}\)
Answer:
x = -7/p
Step-by-step explanation:
We have:
-(px - 2) = 9
Divide both sides by -1:
px - 2 = -9
Add 2 to both sides:
px = -7
Divide by p:
x = -7/p
p is a real number coefficient, which means it can be any kind of fraction, decimal, or integer as long as it doesn't contain any imaginary part, i.
So, we have x = -7/p.
~ an aesthetics lover
which statement about the system equation y=3x+9andy=3x-4 is true
The statement which is true about the given system of equations as required is; The system of equations represents parallel lines.
Which statement is true about the system?As evident in the task content; The two equations given are;
y = 3x + 9 and y = 3x - 4
By comparison with the slope-intercept form equation of a line; y = mx + c;
The slope of both equations are equal while the y-intercepts are different.
Ultimately, the system of equations represents a pair of parallel lines.
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make e the subject
e-5=2f
Answer:
e-5=2f
take '-5' to the other side where '2f' is
e=2f+5
create three equations for quadratics in vertex form that have roots at 3 and 5 but have different maximum and/or minimum values.
The three quadratic equation with different maximum and/or minimum values are y = (x-4)² – 1, y = -(x-4)² + 1, and y = -3(x-4)² + 3.
Quadratic equation:
In math, quadratic equation is the algebraic equation of the second degree in x.
The general form of quadratic equation is
ax² + bx + c = 0,
where a and b are the coefficients, x is the variable, and c is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x² is a non-zero term(a ≠ 0).
Given,
Here we need to find the three equations for quadratics in vertex form that have roots at 3 and 5 but have different maximum and/or minimum values.
As per the definition of quadratic equation, here we have to write the quadratic equation, that have the roots of 3 and 5,
Here the problem was going to call for two equations but then we have realized that it could be as simply as multiplying the a and c values by -1. Therefore, the equation are,
=> y = (x-4)² – 1,
=> y = -(x-4)² + 1,
=> y = -3(x-4)² + 3.
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1. What is the measure
of ZABC?
A
98⁰
B
tc
2.
Answer:
∠ ABC = 49°
Step-by-step explanation:
the chord- tangent angle ABC is half the measure of the intercepted arc AB
∠ ABC = \(\frac{1}{2}\) AB = \(\frac{1}{2}\) × 98° = 49°
What is the quadratic equation??
Plsss reply I’ll mark as brainliest
Hello !
1. A quadratic equation results in the form: ax² + bx + c
2. Calculate the discriminant: Δ = b² - 4ac
3. Calculate x with the dicriminant: (-b ± √Δ) / 2a
Example:
3x² + 7x - 2 = 0 is a quadratic equation.
x = (-b ± √(b² - 4ac)) / 2a
= (-7 ± √(7² - 4*3*(-2))) / (2*3)
= (-7 ± √73)/6
Rewrite the following expression using the Distributive Property. 5(2x -8)
A. -30x
B. 10x -40
C. 10x + 40
D. 10x -8
I think it is either B or C but I'm not sure.
Answer:
B. 10x -40
Step-by-step explanation:
To rewrite the expression 5(2x-8) using the distributive property, we need to separate the expression inside the parentheses and then multiply the two expressions by 5. The answer is: 10x-40.
evaluate the expression for h= -6.
Answer:
63-|-6| = 57
Step-by-step explanation:
63-|-6|
63-6
57
Answer:
57
Step-by-step explanation:
Substitute -6 for variable h.
\(63-|(-6)|\\63-6\\57\)
Help!! If anyone could help, I’ll give Brainly! :) thank you so much
9514 1404 393
Answer:
$50
Step-by-step explanation:
The compounding period is 1 year, and the period of concern is 1 year. This means the simple interest formula will tell the answer to the question.
I = Prt
I = ($5000)(0.01)(1) . . . . . r = annual rate; t = years
I = $50
The interest earned in the account is $50.
A binomial experiment for the random variable X was performed with 10 trials. The probability of success was found
to be 0.43. Determine the following probabilities: [Round to four decimal places.]
a.) P(X= 7)=
b.) P(X< 4) =
c.) P(X> 6) =
The correct answer is a.) P(X=7) ≈ 0.1735b.) P(X<4) ≈ 0.0687c.) P(X>6) ≈ 0.6786
To determine the probabilities for the given binomial experiment, we can use the binomial probability formula:
\(P(X=k) = C(n, k) * p^k * (1-p)^(n-k)\)
Where:
P(X=k) represents the probability of getting exactly k successes,
n represents the number of trials (10 in this case),
p represents the probability of success (0.43 in this case),
k represents the number of successes.
a.) P(X=7):
P(X=7) = C(10, 7) * 0.43^7 * (1-0.43)^(10-7)
P(X=7) = 120 * 0.43^7 * 0.57^3
b.) P(X<4):
P(X<4) = P(X=0) + P(X=1) + P(X=2) + P(X=3)
\(= C(10, 0) * 0.43^0 * (1-0.43)^10 + C(10, 1) * 0.43^1 * (1-0.43)^9 + C(10, 2) * 0.43^2 * (1-0.43)^8 + C(10, 3) * 0.43^3 * (1-0.43)^7c.) P(X > 6):\)
P(X>6) = 1 - P(X<=6)
= 1 - (P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5) + P(X=6))
By substituting the values and calculating the binomial probabilities using the formula, you can find the values for P(X=7), P(X<4), and P(X>6).Calculating this:
P(X < 4) ≈ 0.9619
Therefore, P(X < 4) is approximately 0.9619.
c.) P(X > 6)
To calculate P(X > 6), we need to sum the probabilities from X = 7 to X = 10.
P(X > 6) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)
Using the binomial probability formula for each term:
P(X > 6) = (10 C 7) * 0.43^7 * 0.57^3 + (10 C 8) * 0.43^8 * 0.57^2 + (10 C 9) * 0.43^9 * 0.57^1 + (10 C 10) * 0.43^10 * 0.57^0
Calculating this:
P(X > 6) ≈ 0.3672
Therefore, P(X > 6) is approximately 0.3672.
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Whats is 1 + 1, will give brainliest
Answer:2
Step-by-step explanation:
Anthony has 115 books in his room he is storing them in boxes each box holds 17 books how many boxes does Anthony mean
Answer:
7
Step-by-step explanation:
115/17=6.7..... Round up to 7.
7 boxes should be the answer
Which statements are true? Select each correct answer. Responses Only some triangles are plane figures. Only some triangles are plane figures. All triangles are polygons. All triangles are polygons. All triangles have 3 right angles. All triangles have 3 right angles. All triangles are closed figures. All triangles are closed figures. All triangles have 3 straight sides.
The three true statements are as follows:
All triangles are polygons.All triangles are closed figures. All triangles have 3 straight sides.What are the true statements?In the list, there are several true statements and some of them include the facts that all triangles are polygons, they are closed figures and they have three straight sides.
A polygon is a shape with two or more sides. Triangles ahve three sides, so we can easily address them as polygons. Also, all triangles are closed figures and they also have three straight sides.
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someone please help me!!!!!
Explanation:
Each time x goes up by 1, y goes up by 18
slope = rise/run
slope = (change in y)/(change in x)
slope = 18/1
slope = 18
You can also use the slope formula to get the same answer. Let's say we picked the points (2,36) and (3,54). We then would get
m = (y2-y1)/(x2-x1)
m = (54-36)/(3-2)
m = 18/1
m = 18
We get the same result as before.
Since x represents the number of years and y is the number of inches, the slope of 18/1 indicates an increase of 18 inches per 1 year, or just 18 inches per year.
solve the system by graphing {3x+y=-19
-3x+3y=3}
The solution to the system of equations is 3x + y = -19 and -3x + 3y = 3 is (-5, -4)
Finding the solution to the system of equationsFrom the question, we have the following parameters that can be used in our computation:
3x + y = -19
-3x + 3y = 3
Next, we plot the graph of the system (see attachment)
Using the graphing function on a calculator, we have the solution to be
(-5, -4)
This is so because the equations 3x + y = -19 and -3x + 3y = 3 intersect at the point (-5, -4) and they are not equivalent equations
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A=bh (b=8, h=5) what does A equal to evaluate this problem using the equation below
Answer:
40
Step-by-step explanation: