What is the maximum number of possible extreme values for the function,f(x) = x - 7x-6?O A. 1O B. 2O c. 4O D. 3
Answers
Do youSOLUTION
Step 1 :
We are meant to find the extreme values of the function f,
\(\text{set f}^1\text{ ( x ) = 0 and solve.}\)This will give us the x - coordinates of the extreme values / local maximum and minimum.
Step 2 :
Considering the function,
\(f(x)=x^2\text{ - 7 x - 6 .}\)We need to find the minimum value of f ( we know it is minimum because the parabola opens upwards) , we set :
\(\begin{gathered} f^1\text{ ( x ) = 2x - 7 = 0 } \\ \text{Solving, we get 2 x = 7} \\ \text{x = }\frac{7}{2}\text{ = 3. 5 is the location of the minimum.} \end{gathered}\)Step 3 :
To get the y - cordinate , we need to find f ( 3. 5 ) :
\(\begin{gathered} f(3.5)=(3.5)^2\text{ - 7 ( 3 . 5 ) - 6 } \\ =\text{ 12.25 - 24. 5 - 6} \\ =\text{ -18. 25} \end{gathered}\)Therefore, the extreme minimum of f occurs at the point ( 3. 5 , - 18. 25 )
Related Questions
What is the first step in evaluating the expression shown below?
12
÷
(
7
.
4
−
3
.
6
)
+
8
−
2
Answers
Answer:
Step-by-step explanation:
The first step in evaluating the expression is to perform the calculations inside the parentheses. This involves subtracting 3.6 from 7.4.
Step 1: Evaluate the expression inside the parentheses.
7.4 - 3.6 = 3.8
After evaluating the expression inside the parentheses, the expression becomes:
12 ÷ 3.8 + 8 - 2
Step 2: Perform the division.
12 ÷ 3.8 = 3.158
After performing the division, the expression becomes:
3.158 + 8 - 2
Step 3: Perform the addition and subtraction from left to right.
3.158 + 8 = 11.158
11.158 - 2 = 9.158
Therefore, the value of the given expression is approximately 9.158.
The first step is:
⇨ parenthesesWork/explanation:
The expression is:
12 ÷ (7.4 − 3.6) + 8 − 2
Let's recall the order of operations first:
order of operations = PEMDASPEMDASParenthesesExponentsMultiplicationDivisionAdditionSubtractionSo we evaluate
\(\sf{12\div(7.4-3.6)+8-2}\)
\(\sf{12\div3.8+8-2}\)
Next, division:
\(\sf{3.158+8-2}\)
Next, addition & subtraction:
\(\sf{9.158}\)
Hence, the first step is to evaluate the parentheses.Tutu and Pete go hiking. Tutu brings 7/10 liter of water. Pete brings 500 millimeters of water. How many more millimeters of water did tutu bring than Pete?
Answers
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
1 liter of water equals 1000 milliliters.
To find who has more water, you need to convert (the unit) of each person to either liters or milliliters.
Since it asks for millimeters, I'm going to convert Tutu's 7/10 liters to milliliters. Since there are 1000 milliliters in every liter, you have to multiply 7/10 by 1000. 7/10 multiplied by 1000 is 700.
So Pete has 500 milliliters of water and Tutu has 700 milliliters of water.
Now you need to find the difference of 700 and 500 by subtracting.
700-500=200
Tutu bought 200 more milliliters of water than Pete.
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
Which is expression represents the phrase below?
8 less than the product of 6 and a number, x
8-6x
6x-8
(6x + x) - 8
8 - (6+x)
Answers
Answer:
3
Step-by-step explanation:
Solve for the value of X. 62 = 12 - 5x
Answers
Answer:
x = -10
Step-by-step explanation:
62 = 12 - 5x
-12 . -12
62 - 12 = -5x
50 = -5x
__ . __
-5 . -5
-10 = x
16. What statement can be made about the distance between the vertices of a triangle and the circumcenter?
O the circumcenter is equidistant to all three vertices
the circumcenter is a different distance from each of the triangle's vertices
the circumcenter is closer to the highest vertex of the triangle
the circumcenter is closer to the vertices that make up the triangle's base
Answers
Answer:
O the circumcenter is equidistant to all three vertices
Step-by-step explanation:
Suppose that the probability that the dart hit the area between the square of side length 14 and the square of side length 16
Answers
The probability of the area hit by the dart between the bigger square and the smaller square is equal to 0.7656.
As given in the question,
Total number of squares present = 2
Side length of the bigger square = 16 units
Side length of the smaller square = 14 units
Area of the bigger square = ( side length )²
= ( 16 )²
= 256 square units
Area of the smaller square = ( side length )²
= ( 14 )²
= 196 square units
Here favorable outcome is represented by small square and total outcome is represented by bigger square
Probability that the given dart hit the area between the square is
= 196 / 256
= 49/64
= 0.765625
≈ 0.7656
Therefore, the probability of the dart hitting the area formed by bigger square and smaller square is equal to 0.7656.
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with a vertex of (-7,-2) and directrix of x=-1, is this a vertical or horizontal parabola?
answer step by step please
Answers
Considering a parabolic equation with a vertex of (-7,-2) and directrix of x = -1. This is a horizontal parabola
What is directrix of a parabola?The directrix of a parabola is a straight line perpendicular to the axis of symmetry of the parabola.
The directrix does not touch the parabola
How to determine if a parabola is vertical or horizontal using the directrixA parabolic equation is also called quadratic equation.
Since the directrix is perpendicular to the axis of symmetry of the parabola it means that if:
when the directrix is given at x, the directrix runs in the vertical direction and the parabola is a horizontal parabolawhen the directrix is given at y, the directrix runs in the horizontal direction and the parabola is a vertical parabolaThe axis of symmetry says if the parabola is vertical or horizontal, when the axis of symmetry is parallel:
the y direction the parabola is a vertical parabolathe x direction the parabola is a horizontal parabolaIn the given problem, the directrix is given at x, the axis of symmetry is along the x direction and hence a horizontal parabola
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Convert these fractions to decimals without using a calculator.
a) 3/4
b) 2 17/25
c) -4 2/9
Answers
Answer:
a) 0.75
b) 2.68
c) -4.22
Answer:
a) 0.75
b) 2.68
c) -4.2222222....
Step-by-step explanation:
Which of the following activities are examples of data gathering?Check all that apply.
Answers
Answer.
D.
Step by step explanation.
It's defined as the procedure of collecting, measuring, and analyzing accurate insights for research using standard validated techniques.
The most critical objective is ensuring that information rich and reliable data is collected dor statistical analysis so that data-driven decisions can be made for research
17 The table below shows the distance a car has traveled.
50
20
f
40
Minutes
Distance
Traveled
(in miles)
What is the meaning of the slope of the linear model for the data?
60
100
a) The car travels 5 miles every minute.
b) The car travels 4 miles every minute.
c) The car travels 4 miles every 5 minutes.
d) The car travels 5 miles every 4 minutes.
125
80
100
Answers
Given statement solution is :- None of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.
To determine the meaning of the slope of the linear model for the given data, let's analyze the information provided. The table represents the distance traveled by a car at different time intervals.
Minutes | Distance Traveled (in miles)
50 | 20
20 | f
40 | 60
100 | a
125 | 80
100 | 100
To find the slope of the linear model, we need to calculate the change in distance divided by the change in time. Let's consider the intervals where the time changes by a fixed amount:
Between 50 minutes and 20 minutes: The distance changes from 20 miles to 'f' miles. We don't have the exact value of 'f', so we can't calculate the slope for this interval.
Between 20 minutes and 40 minutes: The distance changes from 'f' miles to 60 miles. Again, without knowing the value of 'f', we can't calculate the slope for this interval.
Between 40 minutes and 100 minutes: The distance changes from 60 miles to 'a' miles. We don't have the exact value of 'a', so we can't calculate the slope for this interval.
Between 100 minutes and 125 minutes: The distance changes from 'a' miles to 80 miles. Since we still don't have the exact value of 'a', we can't calculate the slope for this interval.
Between 125 minutes and 100 minutes: The distance changes from 80 miles to 100 miles. The time interval is 25 minutes, and the distance change is 100 - 80 = 20 miles.
Therefore, based on the given data, we can conclude that the car travels 20 miles in 25 minutes. To determine the meaning of the slope, we divide the distance change by the time change:
Slope = Distance Change / Time Change
= 20 miles / 25 minutes
= 0.8 miles per minute
So, none of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.
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Sera had the number 548.She adds one to the tens and two to the units. What number would Sera end up with??
Answers
The number she'd have is:
560Explanation:
First, let's see which number is in the tens place and which number is in the ones place (the units place).
In the number 548, the place value of 5 is hundreds, the place value of 4 is tens, and the place value of 8 is ones (or units).
So if Sera adds two to the units, she'll have 10. But, since we can't write the number as 5410 (that would be a totally different number), we just write 0 in the units place, and shift 1 to the tens place, which gives us :
550
That's not all, since we also add 1 to the tens:
560
Hence, Sera ends up with 560.Find the gradient of the line segment between the points (0,6) and (2,16).
Answers
Answer:
5
Step-by-step explanation:
The gradient of a line can be found using the formula below:
\(\boxed{\text{Gradient}=\frac{y_1-y_2}{x_1-x_2} }\)
In the formula, \((x_1,y_1)\) is the first coordinate and \((x_2,y_2)\) is the second coordinate.
Gradient
\(=\frac{16-6}{2-0}\)
\(=\frac{10}{2}\)
= 5
Additional:
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https://brainly.com/question/27747743Prove the diagonals of a parallelogram bisect one another. Be sure to create and name the appropriate geometric figures
Answers
The diagonals of a parallelogram bisect one another. This is illustrated below.
What is a parallelogram?A parallelogram is a straightforward quadrilateral with two parallel sides. A parallelogram's opposite or facing sides are equal in length, and its opposite angles are equal in size.
A quadrilateral with two pairs of parallel sides is known as a parallelogram. A parallelogram's opposite sides are equal in length, and its opposite angles are equal in size. Furthermore, the interior angles on the same transversal side are supplementary. The total of all interior angles is 360 degrees.
Let's illustrate the parallelogram as ABCD.
AC and BD are diagonals
AC and BD intersect at point E
AB is parallel to CD | opposite sides of a parallelogram are parallel
AB = CD | are congruent opposite sides of a parallelogram
angle BAC = angle DCA |interior angles of parallel lines
angle ABD = angle CDB |interior angles of parallel lines
Triangle ABE = Triangle CDE | ASA
EA = EC | corresponding sides of congruent triangles are congruent.
E bisects AC| AE = EC
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the si (metric) unit of length, the meter, is defined as the distance between two marks on a standard metal bar
Answers
The SI unit of length is meter and it defines the length between two end points.
The term length in math is defined as the measurement or extent of something from end to end.
Here we need to find the SI unit of length.
As we all know that the SI unit of length is The meter ad the symbol m and it is defined by taking the fixed numerical value of the speed of light in vacuum c to be 299 792 458 when expressed in the unit m s⁻¹ where the second is defined in terms of ΔνCs.
Here the value of length is required to be measured ad it can convert a meter into various units like milliliters (mm), kilometer (km), centimeter (cm).
Complete Question:
What is the SI unit of length and elaborate the details about it.
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For f(x)=-5x+10, what is the value of x for which f(x) =35
X = 5
None are correct
X=3
X=-4
X=-5
Answers
Answer:
x=-5. -5x+10 replace the x with -5, multiply, add ten, and you'll get f(x)= 35
Answer:
-5
Step-by-step explanation:
f(x) =35
f(x) = -5x +10
equate the two equations:
-5x +10 =35
-5x =35-10
-5x =25
x = 25/-5
x = -5
This is about scatter plots and association i just need number 1
Answers
The form of association that would be found in the variables would be:
Positive association No association Negative association How to find the association ?As the number of hours spent playing a video game increases, the player is likely to reach higher levels within the game. So positive association.
The number of letters in a person's name and the last digit of their phone number are likely to be unrelated and randomly distributed. There is no association.
As the temperature of the drink decreases, the number of ice cubes in the drink is likely to increase, and vice versa. This is therefore negative association.
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Amber has 36 smarties to share among herself and 3 friends. How many smarties will each of them Receive?
Answers
(including herself)
so 36 smarties should be evenly distributed among 4 people
so answer = 36/4 = 9
Amy's penny bank is 7/10 full. After she removes 200 pennies, it is 1/2 full. How many pennies can Amy's bank hold?
Answers
1/5 = 200 pennies
5/5 = 1000 pennies
Write an equations and solve.
The bill for coffee selling for $7/1b was $42. How many pounds of coffee were
purchased?
Answers
Divide 42 by 7
X=6
6 pounds of coffee were purchased.
what is the product of 50x0.08 M
Answers
Answer:
4
Step-by-step explanation:
Kim creates a model of a building. The scale of her model building is 1 foot to 18 inch. Some of the measurements are shown in the table.
Enter numbers in the empty boxes to complete the table correctly.
Building (feet) Model (inches)
Height 128
Length of Base 80
Width of Base
6.25
Answers
Answer:
height: 16 inch
length of base: 10 inch
width of base: 50 feet
Step-by-step explanation:
128*(1/8)=16 inch
80*(1/8)=10 inch
x*1/8=6.25
x=6.25*8=50 feet
Kai and Finley were studying together for their exams the
following day. They had planned to spend the entire two days
after the exams hiking to a log cabin on the Winslow trail. The trail
was closed on Mondays, Wednesdays, and weekends.
On which day of the week was their exam scheduled?
Answers
Their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.
How to determine which day of the week was their exam scheduledTo determine the day of the week on which Kai and Finley's exam was scheduled, we need to consider the information provided about the trail being closed on Mondays, Wednesdays, and weekends.
If they had planned to hike to the log cabin for two days after the exams, and the trail is closed on weekends, it means they cannot start hiking on Saturday or Sunday.
Since they cannot start hiking on Saturday or Sunday, the two possible options for the exam day would be Monday or Wednesday, as they have not specified whether the hike starts immediately after the exams or the day after.
However, we can conclude that their exam was not scheduled on Monday, as the trail is closed on Mondays, and they had planned to hike immediately after the exams.
Therefore, their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.
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what is the property of 3x(5x7)=(3x5)7
Answers
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
Bryan invests $6500 in two different accounts. The first account paid 11 %, the second account paid 7 % in interest. At the end of the first year he had earned $519 in interest. How much was in each account?
$ at 11 %
$ at 7 %
Answers
Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).
Let's assume that Bryan invested an amount of x dollars in the first account, which earns 11% interest, and (6500 - x) dollars in the second account, which earns 7% interest.
The interest earned from the first account can be calculated as 0.11x, and the interest earned from the second account can be calculated as 0.07(6500 - x).
According to the problem, the total interest earned after one year is $519. So we can set up the equation:
0.11x + 0.07(6500 - x) = 519
Simplifying the equation:
0.11x + 455 - 0.07x = 519
0.04x + 455 = 519
0.04x = 64
x = 64 / 0.04
x = 1600
Therefore, Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).
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(1 point) Mike owns 7 different mathematics books and 4 different computer science books and wish to fill 5 positions on a shelf. If the first 2 positions are to be occupied by math books and the last 3 by computer science books, in how many ways can this be done
Answers
Answer:
84 ways
Step-by-step explanation:
The order in which the books are positioned is not important, so we use the combinations formula to solve this question.
Combinations formula:
\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
In how many ways can this be done
2 math books, from a set of 7.
3 computer science books, from a set of 4.
So
\(T = C_{7,2}*C_{4,3} = \frac{7!}{2!5!}*\frac{4!}{1!3!} = 84\)
This can be done in 84 ways
based on the above estimated regression equation, if price is increased by 6 units, then demand is expected to
Answers
Therefore demand is "decreased by 100 units".
What is predicted value in regression?
Given the values of X, we can predict the values of Y using the regression line. We go directly up to the line for any given value of X, then move horizontally to the left to get the value of Y. The expected value of Y is abbreviated Y' and is known as the predicted value of Y.
\($$\begin{aligned}& \hat{y}=130-20 x \\& \hat{y}=\text { demand of product } \\& x=\text { price of product }\end{aligned}$$\)
Given \($x$\), increased by 5 units
\($$\begin{aligned}& \hat{y}=130-20(x+5)=130-20 x-100 \\& \hat{y}=30-20 x\end{aligned}$$\)
Therefore demand is "decreased by 100 units"
Complete question: Regression analysis was applied between demand for a product (y) and the price of the product (x), and the following estimated regression equation was obtained. ŷ = 130 − 20x Based on the above estimated regression equation, if price is increased by 5 units, then demand is expected to: increase by 100 units. decrease by 20 units. increase by 130 units. decrease by 100 units.
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Evaluate your data. Has there been an increase in the number of certain individuals of this
population of bacteria? Please explain how you think this might lead to the emergence of a
superbug over time, or the extinction of certain strains of this bacteria.
Answers
The increase in certain individuals leads to:
Selective pressure.Emergence of antibiotic-.Extinction .Genetic variations.Difficulty in treating infections.Competition for resources leading to disadvantage for other strains.An increase in certain individuals within a bacterial population can lead to:
Selective pressure favoring individuals with advantageous traitsEmergence of antibiotic-resistant strains or "superbugs"Extinction of less competitive strainsGenetic variations being passed on to future generationsDifficulty in treating infections caused by resistant bacteriaCompetition for resources leading to disadvantage for other strainsOutcome depends on selective pressure, genetic diversity, resource availability, and adaptability.Learn more about antibiotic-rich environments here:
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Calcular los 3/5 de los 2/3 de las 3/4 de 560
Answers
For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.
How to solve fractions?To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:
Step 1: Calculate 3/4 of 560:
3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420
Step 2: Calculate 2/3 of the result from Step 1:
2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280
Step 3: Calculate 3/5 of the result from Step 2:
3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168
Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.
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Sonya walks on a treadmill at a constant rate of 3.5 miles per hour. A graph showing the relationship between the time she walks and the distance she travels passes through the origin and the point (1, 3.5) Name three other points that lie on the graph of the line.
Answers
Answer:
7, 10.5, 14
because you have to keep adding 3.5 like from 3.5 you add another 3.5 to get the 7.
Mn = 0 · 1 + 1 · 2 + 2 · 3 + 3 · 4 +……..+ (n - 1) · n
Find an explicit formula for calculating the sum Mn
Answers
The explicit formula for calculating the sum is
\(S_N=\frac{n(n-1)}{2} \cdot\frac{n(n+1)}{2}\)
The sum of the nth term of a sequence is expressed as;
\(S_n=\frac{n}{2}(2a+(n-1)d)\)
a is the first term
d is the common difference
n is the number of terms
For the sequence 0 + 1 + 2 + 3 +...
\(S_n=\frac{n}{2}(2(0)+(n-1)1)\\S_n= \frac{n}{2}(n-1)\\S_n= \frac{n(n-1)}{2}\)
Similarly for the sequence:
1 + 2+ 3 + 4+...
\(S_n=\frac{n}{2}(2(1)+(n-1)1)\\S_n= \frac{n}{2}(2+n-1)\\S_n= \frac{n(n+1)}{2}\)
Taking the product of the sum to get the explicit formula for calculating the sum
\(S_N=\frac{n(n-1)}{2} \cdot\frac{n(n+1)}{2}\)
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