Consider continuous functions f, g, and k. Then complete the statements.
The function that has the least minimum value is function
_____.
The function that has the greatest minimum value is function _____.
Answers
The function that has the least minimum value is function is h and The function that has the greatest minimum value is function is k .
What is quadratic function ?we define a quadratic function as an function of degree 2, meaning that the highest exponent of this function is 2. The standard form of a quadratic is y = ax² + bx + c, where a, b, and c are numbers and a cannot be 0.
According to the question
f(x) = x² - 2x - 6
as per graph
its minimum value at (1,-7)
h(x) = 2(x-1)²
h(x) = 2 (x² + 1 -2x )
h(x) = 2x² - 4x + 2
By plotting the graph
we can observe the
minimum value at (1,0)
k(x) = [tex]x^{4} + 2x^{2} + 8x -4[/tex]
By plotting the graph
we can observe the
minimum value at (-1,-9)
For g(x)
Standard form of quadratic equation :
y = ax² + bx + c
or
g(x) = ax² + bx + c
at x = 0
g(x) = -4
-4 = a* 0 + b* 0 + c
c = -4
at x = 1
g(x) = -5
-5 = a + b - 4
a + b = -1 --------------------(1)
at x = -1
g(x) = -11
-11 = a*(-1)²+ b* (-1) + -4
-7 = a - b --------------------(2)
Adding equation (1) and (2)
a = -4
b = 3
g(x) = -4x² + 3x -4
as x² is negative parabola will be downward
therefore it will have max value
i.e
at (0.375,-3.438)
Now, The function that has the least minimum value is function is h with x = 1 and h(x) = 0
The function that has the greatest minimum value is function is k with x = -1 and k(x) = -9
Hence, The function that has the least minimum value is function is h and The function that has the greatest minimum value is function is k .
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Related Questions
please answer it I'll give all my points
Answers
Answer:
b=10
Step-by-step explanation:
you need to simplify it
if you answer correctly ill give you brainiest!
Answers
Answer:
What is the question?
Step-by-step explanation:
Step-by-step explanation:
theres no question kikashi
Adam is climbing up the stairs in a building. At a certain point, Adam starts counting the steps and when he reaches the last step, he has counted 56 steps. If he knows that there are a total of 100 steps in the building, how many steps did he climb before he started counting the steps?
Answers
Answer:
He climed 3 steps before he started counting the steps.
Step-by-step explanation:
pls mark me as a branliest
Answer:
The answer is he climbed 44 steps. Hope this helped :D
Step-by-step explanation:
which is the equation of a line in point slope form that passes through the point 2,5 and has a slope of 1/2
Answers
Answer:
see below
Step-by-step explanation:
Point slope form is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y - 2 = 4(x- -1)
y - 2 = 4(x+1)
slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = 4x+b
Substituting the point in
2 = 4(-1)+b
2 = -4+b
6 =b
y = 4x+6
standard form
Ax +by = c where A is a positive integer and b and c are integers
y = 4x+6
Subtract 4x from each side
-4x+y = 6
Multiply by -1
4x -y = 6
3) There are 1.000 meters in 1 kilometer. Convert 5,000 meters to kilometers. А) 0.5 km B) 5 km C) 50 km D 500 km. help this is timed
plss
Answers
Answer:
×_×°•○●□■♤♡◇♧☆▪︎¤《》₩¥£€
Four out of nine dogs weigh less than 20 pounds.
What is the decimal equivalent for the number of dogs weighing less than 20 pounds?
Answers
Answer:
0.2 you divide 4 and 20 I don't know if that is correct but that's how I would do it
Cara and Jena, working together, can clean the house in 4
hours. Working alone, Jena takes twice as long as Cara. How long does it take Cara to clean the house alone?
Answers
Answer:
[tex]\frac{4}{3}[/tex]hrs/house
Step-by-step explanation:
Rate is the amount of work done per unit of time;
Let Cara's rate = C
Let Jena's rate = J
C + J = 4 ------ i
Now;
Working alone:
Jena takes twice as long as Cara
J = 2C ---- i
How long does it take Cara to clean a house alone
C + J = 4
J = 2C
C + 2C = 4
3C = 4
C = [tex]\frac{4}{3}[/tex]hrs/house
Answer:
Step-by-step explanation:12
A mug has a diameter of 8 centimeters and a height of 11 centimeters. Which of the following is the closest to the volume of the mug?
Answers
Which angles are adjacent angles to 3? Select all that apply
Answers
Two Answers: Angle 1, Angle 4
Adjacent angles share a common segment, line, or ray. Think of two adjacent rooms sharing a common wall.
Identify the graph of f(x)=10-10x2/x2
Answers
Answer:answer is an image
Answer:
B
Step-by-step explanation:
EDGE 2021
You can tell if the value of a function for a certain interval is positive just by 2 points looking at its graph. If the value is positive that part of the graph will:
a: be to the right of the y-axis
b: be above the x-axis
c: intersect the x-axis
d: be below the x-axis
Answers
Students will be going to the zoo in a field trip entrance fee is $6.00 and you will be able to purchase drinks or food items for $2.00 each write an equation indicating the total cost of going to the zoo
Answers
Answer:
c = 6+2x
Step-by-step explanation:
c = total cost, 6 = entrance fee, 2x = 2 dollars per food/drink item
can someone help me find the area of the triangle
please!!!
Answers
Answer:
18 ft
Step-by-step explanation:
Area = b x h / 2
Height = 9ft
Base = 4 ft
9 x 4 = 36
/ 2 = 18 Divide by 2
Sarah was given an exit slip with the problem: "45 is 75% of what?" Below is how she set up the equation with equivalent ratios.
Was she correct ? Or is there an error that can be corrected?
1.yes,she is correct
2.no, she should have set it up x/45 = 100/45
3.no,she should have set it up 45/x =75/100
Answers
The answer should be 60 if im correct.
The Martins drove 210.5 miles on the first day of their trip and 135.8 miles the second day. How many more miles did they drive the first day than the second day?
A. 74.7
B. 149.4
C. 271.6
D. 346.3
Answers
Answer: the answer is A
Step-by-step explanation:
An ant can travel at a constant speed of 780 inches every 5 minutes. How far can he travel in 9 minutes
Answers
Answer:
1404
Step-by-step explanation:
Cross-multiplication
what 2-7/8 divided by 3/4
Answers
can you please help me with this question
Answers
Answer:
[tex]3\frac{4}{7} *(-6\frac{4}{7}), -7\frac{1}{7} *(-2\frac{1}{4}), 5\frac{1}{7} *5\frac{1}{7}[/tex]
Step-by-step explanation:
Answer: (For the first One)
1 1
5 ---- . 5 -----
7 7
36 36 1296 22 5
----- . ------- = ----------- = 26 ---------- = 2 ----------
7 7 49 49 49
Step-by-step explanation:
First you want to change you mixed numbers into improper fractions. Once done so, cross multiply if possible. Then, multiply across. Last, simplify.
help plz i need help
Answers
Answer:
it is 20 pairs count them 1 Collin and its 20
helen got a$7 reduction in the price of a pair of jeans that are normally $32 what is the approximate percent decrease in the price
Answers
Answer:
The percent decrease is approximately 21%.
Step-by-step explanation:
Can someone please help me
Answers
Given the x intercept of (4,0) and y intercept of (0,-3) graph the points and find the slope of the line
Answers
Answer:
The slope is 3/4 and on a graph it would be 4 over to the right and 3 down.
Jaylin has $50 in her fun account she deposit $ 10 per month into the account but $ 6 per month is deducted to pay for a streaming service
Answers
Answer:
16 per month
Step-by-step explanation:
you add the 10 and 6 together making it 16 total a month
The average body temperature of all healthy adults is 98.6 F. A doctor takes a random sample of 100 healthy adults and records the temperature of each. The average temperature of these 100 adults is 98.2 F and the standard deviation is 6.9 F. Identify the values of the statistic and the parameter(s).
Answers
Answer:
Explained below.
Step-by-step explanation:
A parameter is a valuable element of statistical analysis. It denotes the characteristics that are used to define a given population. It is used to define a particular attribute of the population. For instance, population mean, population standard deviation, population proportion and so on.
The parameter of interest is the average body temperature of all healthy adults, μ = 98.6°F.While making a statistical conclusion about the population under study, the parameter value is unknown. This is because it would not be possible to gather data from every single member of the population. So a sample is selected from the population to derive a conclusion about the parameter.
A statistic is the value of the characteristics that are computed using this sample. For instance, sample mean, sample standard deviation, sample proportion and so on.
The statistic is the average body temperature of 100 randoly selected healthy adults, [tex]\bar x=98.2^{o}F[/tex].A car sold from a dealership is 25,700 if the sales person receives 1.5% commission on the price of the car how much commission is made on average per car sold
Answers
Answer:
385.50
Step-by-step explanation:
inequality of -3x - 6 < 50
Answers
Answer:
0
Step-by-step explanation:
look it up on google :)
HELP I WILL GIVE LOTS OF BRIANLY POINTS!!!!!!! PLZ EXPLAINM A BIT TOO FOR BRAINLY REWARD!!!
A weather reporter states that the high temperature is expected to be 20℉ and the low temperature is expected to be - 5℉. What is the difference between the two temperatures?
Answers
Answer: 25
Step-by-step explanation:
20 - 25 = -5
20 - 20 = 0
0 - 5 = -5
Please help
Graph the piecewise function.
Answers
Answer:
See attached
Step-by-step explanation:
The graph is attached
how do you find the distance between two negative fractions
Answers
Answer:
Use the number line and split the whole numbers into fractions
Step-by-step explanation:
Example: If a number line goes from -10 all the way to +10, and you are trying to find the distance between -2 1/4 and -7 3/4. You would split the number line into fourths and then locate -7 3/4. You would then count up to -2 1/4 to get 4 3/4.
Hopefully this makes sense!
Given C is the midpoint of BD.
Prove: AACB AACD
Reasons
Statements
1. C is the midpoint of BD
1. given
A
2. BC e CD
2.
3. AC e AC
3. reflexive property
4. given
B
С
4.2BCA and 2DCA
are right 25
5.
D
5. all rights are
Complete the two-column proof.
6. AACB = AACD
6. SAS
Answers
Answer:definition of midpoint, angle BCA is congruent to angle DCA
The triangles ΔABC and ΔADC are congruent triangles by
a) definition of mid-point
b) measure of ∠ACB = measure of ∠ACD = 90°
What are Congruent Triangles?Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape
The three sides are equal (SSS: side, side, side)
Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)
A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)
Given data ,
Let the first triangle be represented as ΔABC
Let the second triangle be represented as ΔADC
Now , the side AC is the common bisector of both the triangles such that
C is the midpoint of BD
So , the measure of side BC = measure of side CD
And , the perpendicular bisector is right angle
So , the measure of ∠ACB = measure of ∠ACD = 90°
And , the measure of AC = measure of AC ( reflexive property )
Therefore , the triangles are congruent by SAS theorem
Hence , the triangles are congruent
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