The graph at the right shows
a function, f, graphed on the
domain 0 < x < 8.
The section from A to B is a
straight segment.
The section from B to C is
represented by y = (x - 5)^2
1. Find the slope of the segment from A to B.
2. Find the x-coordinate of the relative minimum
value of the graph from B to C.
3. Find the value of f (3) + f (4) + f (6) + f (7).
Answers
Answer:
Step-by-step explanation:
1). Since, line segment AB passes through two points ((0, 0) and (3, 4)
Therefore, slope of the segment = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{4-0}{3-0}[/tex]
= [tex]\frac{4}{3}[/tex]
2). Relative minimum of the graph from B to C → (5, 0)
Therefore, x-coordinate of the relative minimum → x = 5
3). From the graph attached,
f(3) = 4
f(4) = 1
f(6) = 1
f(7) = 4
Therefore, f(3) + f(4) + f(6) + f(7) = 4 + 1 + 1 + 4
= 10
Related Questions
Zach keeps his pet chameleon Pinky in a terrarium with the dimensions shown below. There's sand in the bottom of the terrarium that reaches a height of 888 centimeters. Zach gets a new terrarium for Pinky that is larger. The base of the new terrarium is 252525 by 646464 centimeters. Zach moved the existing sand to the new terrarium. How deep will the sand be in the new terrarium? centimeters
Answers
Answer:
5=h
Step-by-step explanation:
did it on Khan! You're welcome <3
Eight members of a school marching band are auditioning for 3 drum major
positions. How many ways can students be chosen to be drum major?
*
Answers
Answer:
Step-by-step explanation:
4x+(3x+2)=3x(4+2)................................
Answers
A) 10
B) 15
C) 25
D) 40
Answers
Answer:
A)40 I hope the answer is correct . I will be happy when I get 5 pointAnswer:
A)40 I hope the answer is correct . I will be happy when I get 5 pointFind the surface area of the square pyramid.
S=
Answers
Please help, it’s due in 10 minutes
Answers
Answer:
The answer:
n= 1/6
n=0.16
Answer:
log64/ log 16 -2 / -3
Step-by-step explanation:
(-3n +2) = log64/log16
-3n = log64/log16 - 2
n = log64/log16 -2 /-3
I divide both sides by log theres another way to do it but I forget. it etheir becomes 64^16 -2/3 or 16^6= -2 /3
please help me someone
Answers
Base = 5 * 12 = 60 in^2
Height = 4 in
Perimeter is the sum of all straight
Perimeter = 20 + 16 + 48
Perimeter = 84 in
Perimeter of base = 12 * 2 + 5 * 2 = 34
Erin records the following temperatures (in degrees
Fahrenheit) at noon during one week:
91, 95, 95, 95, 92, 95, 93
These temperatures do not contain an extreme value.
Which measure of center should Erin use to describe the temperatures?
O A. Mean absolute deviation (MAD)
B. Either the mean or the median. The values are about the same.
C. Interquartile range (IQR)
O D. Range
Answers
Answer:
I think the correct answer should be B
Answer:
B
Step-by-step explanation:
B because there is no extreme values
If mZ2 = 26, what is mZ16?
11 12
314
1413
15 16
65
718
(not drawn to scale)
A
64
B
26
с
16
D
154
Answers
9514 1404 393
Answer:
B. 26
Step-by-step explanation:
All acute angles in the figure are congruent. All obtuse angles in the figure are congruent. All of the even-numbered angles are acute and have the measure 26.
m∠16 = 26
One plumber charges a flat fee of $50 to come to the house and then
$20 per hour. If h represents the number of hours that the plumber spent
fixing the problem and C represents the total charge, which of the following
equations shows how to determine the total fee charged?
C=50+20h
C=(50+20)h
C=h+50+20
C=20+50h
Answers
Answer:
C=50+20h
Step-by-step explanation:
The $50 dollars in this equation is a flat fee, no variable to it. It doesn't increase or decrease depending on the number of hours. The $20 dollars is dependent on the number of hours the plumber works. If the plumber works 2 hours they get $40 dollars, the amount the plumber receives depends on the hours worked. The h in the equation is a placeholder for hours worked. To solve the equation just replace h with the hours worked and solve to get the answer.
A marketing research firm would like to survey undergraduate and graduate college students about whether or not they take out student loans for their education. There are different cost implications for the region of the country where the college is located and the type of degree. The survey cost table is provided below:
Student type
Region undergraduate graduate
East $10 $15
Central $12 $18
West $15 $21
The requirements for the survey are as follows:
The survey must have at least 1500 students.
At least 400 graduate students.
At least 100 graduate students should be from the West
No more than 500 undergraduate students should be from the East
At least 75 graduate students should be from the Central region
At least 300 students should be from the West
The marketing research firm would like to minimize the cost of the survey while meeting the requirements. Let X1 = # of undergraduate students from the East region, X2 = # of graduate students from the East region, X3 = # of undergraduate students from the Central region, X4 = # of graduate students from the Central region, X5 = # of undergraduate students from the West region, and X6 = # of graduate students from the West region.
Required:
Clearly state the problem (objective function, constraints)
Answers
Answer:
Objective Minimize 10x1 +15x2 + 12x3+18x4+15x5+ 21x6
The central total cost $ 17586 due to the number of central undergraduate students 1458 is very high.
The total minimum cost would $ 17586 +$260+ $300= $ 18146
Step-by-step explanation:
Let
X1 = # of undergraduate students from the East region,
X2 = # of graduate students from the East region,
X3 = # of undergraduate students from the Central region,
X4 = # of graduate students from the Central region,
X5 = # of undergraduate students from the West region, and
X6 = # of graduate students from the West region.
Then the cost functions are
y1= 10x1 +15x2
y2= 12x3+18x4
y3= 15x5+ 21x6
According to the given conditions
The constraints are
x1 +x2 + x3+x4+ x5+ x6 ≥ 1500------- A
15X2 +18X4+21X6 ≥ 400---------B
21X6 ≥ 100
X6 ≥ 100/21
X6 ≥ 4.76
Taking
X6= 5
10X1 ≤ 500
X1 ≤ 500/10
X1≤ 5
18X4 ≥ 75
X4 ≥ 75/18
X4 ≥ 4.167
Taking
X4= 5
Putting the values
15X5+ 21X6 ≥ 300
15X5+ 21(5) ≥ 300
15X5+ 105 ≥ 300
15X5 ≥ 300-105
15X5 ≥ 195
X5 ≥ 195/15
X5 ≥ 13
Putting value of X6 and X4 in B
15X2 +18X4+21X6 ≥ 400
15X2 +18(5)+21(5) ≥ 400
15X2 +195 ≥ 400
15X2 ≥ 400-195
15X2 ≥ 205
X2 ≥ 205/15
X2 ≥ 13.67
Taking X2= 14
Now putting the values in the cost equations to check whether the conditions are satisfied.
y1= 10x1 +15x2
y1= 10 (5) + 15(14)= 50 + 210= $ 260
y3= 15x5+ 21x6
y3= 15 (13) + 21(5)
y3= 195+105= $ 300
x1 +x2 + x3+x4+ x5+ x6 ≥ 1500
5+14+x3+5+13+5≥ 1500
x3≥ 1500-42
x3≥ 1458
y2= 12x3+18x4
y2= 12 (1458) + 18 (5)
y2= 17496 +90
y2= $ 17586
The cost can be minimized if the number of students from
Undergraduate Graduate
East Region X1≤ 5 X2 ≥ 13.67
Central X3≥ 1458 X4 ≥ 4.167
West X5 ≥ 13 X6 ≥ 4.76
This will result in the required number of students that is 1500
Constraints:
East Undergraduate must not be greater than 5
East Graduate must not be less than 13
Central Undergraduate must be greater than 1458
Central Graduate must be greater than 4
West Undergraduate must be greater than 13
West Graduate must be greater than 4
The central total cost $ 17586 due to the number of central undergraduate students 1458 is very high.
The east region has a least cost of $260 and west region has a cost of $300.
The total minimum cost would $ 17586 +$260+ $300= $ 18146
the store is selling lemons at 0.53 each. each lemon yields about 2 tablespoons of juice. how much will it cost to buy enough lemons to make three 9inch lemon pies, each requiring half a cup of lemon juice?
Answers
Answer:
$6.36
Step-by-step explanation:
3 pies require 3/2 cups of lemon juice
16 tablespoons = 1 cup
need 24 tablespoons of lemon juice
need 12 lemons at $0.53 each
total cost = 12 x 0.53 = $6.36
7(x+4)-6(x+3)=x+5
What is x?
Answers
Answer:
Equation has no solutions.
Step-by-step explanation:
7x + 28 - 6x - 18 = x + 5
7x + 10 - 6x = x + 5
x + 10 = x + 5
x + 10 - 10 = x + 5 - 10
x = x - 5
x - x = x - x - 5
0 ≠ - 5
Please help me solve this
Answers
Answer:
x=2√41
Step-by-step explanation:
According to Pythagorean theorem:
14²=(4√2)²+x²
x²=14²-32=164
x=√164=2√41
(1/4)^3+(3/4)^3+3(1/4)(3/4)(1/4+3/4)
Answers
Answer:
[tex]\frac{43}{16}[/tex]
Step-by-step explanation:
[tex](\frac{1}{4})^{3}+(\frac{3}{4})^{3}+3(\frac{1}{4})(\frac{3}{4})(\frac{1}{4}+\frac{3}{4}) = \\\\\frac{1}{64}+\frac{27}{64}+3(\frac{3}{4})(\frac{4}{4}) = \\\\\frac{28}{64}+3(\frac{3}{4}) = \\\\\frac{28}{64}+\frac{9}{4} =\\\\\frac{28}{64}+\frac{144}{64} = \frac{172}{64} = \frac{43}{16}[/tex]
CHALLENGE There are 8 people on a committee. Each time they meet, they shake hands with each other so that each person shakes everyone else's hand once. a Each time they meet, how many handshakes are there? Use numbers, labeled sketches, or words to model and solve this problem. Show all your work.
Answers
Answer:
64 handshakes
Step-by-step explanation:
SO i would do:
1 person x 8 handshakes
8x8=64
8 people 8 hand shakes each
PLEASE HELP
Which equation is the slope-intercept form of this equation?
y−10=−2(x+6)
a) y−10=−2x−12
b) 2x+y=−2
c) y=−2x−2
d) x=−12y−1
Answers
Answer:
C.
Step-by-step explanation:
The slope intercept form is:
y= mx +b
so you first want to start off by looking for the equation with y being the sum. In this case, there is only one, so you don't have to do anymore work.
If the standard deviation of the data values in a sample is 13, what is the
variance of the data values?
A. 169
B. 225
C. 289
D. 361
Answers
Answer:
A. 169 is the correct answer
if two supplementary angles is in the ratio 7:8 find the complement of the smaller angle
Answers
Answer:
6°
Step-by-step explanation:
Let
the supplementary angles be 7x and 8x so,
7x+8x=180 ,15x=180 ,x=180/15 ,x=12
smaller angle=7x=7×12=84°
complement of 84°=90°-84°=6°
Speedometer readings for a vehicle (in motion) at 10-second intervals are given in the table.
t (sec) 0 10 20 30 40 50 60
v (ft/s) 0 9 33 59 75 72 53
Estimate the distance traveled by the vehicle during this 60-second period using the Riemann sums
L6:
R6:
M3:
Answers
Find the volume of this solid figure. Use π = 3.14.
WITH SOLUTION PLEASE AND NO LINKS!
Answers
Step-by-step explanation:
you can get simply V= ABh πr^2 h π3.14^2 x 17.9 then you get the answer Ihope I can help you
The probability of a golden retriever catching a tennis ball in mid-air is 81%. Find the probability that a golden retriever catches three tennis balls in mid-air.
Answers
Answer: 53.1441%
==========================================================
Explanation:
Assuming each event is independent of one another, the probability of catching the tennis ball three times in a row is
(0.81)^3 = (0.81)*(0.81)*(0.81) = 0.531441
This converts to 53.1441%
if anyone guess all of the character that are in this pic will get a brainlieast
Answers
Answer:
kokichi, junko, tsumugi,chiaki
Step-by-step explanation:
What is the area of a rectangle that measures 4 1/2 by 2 1/2 inches
Answers
Answer:
11.25
Step-by-step explanation:
the equation to find the area of a rectangle is A=w*l
A=2.5*4.5
A=11.25
Find the perimeter of a
hexagon with each side
measuring 184 ft.?
Answers
Answer:
P = 1104
a - Side
Step-by-step explanation:
P = 1104
a - Side
Answer:
P=1140
Step-by-step explanation:
P=1140 BANANA SORRY THE ANSWER I DONT HAVE IT BUT HAVE A GOOD DAY
Find the volume of the cylinder. Find the volume of a cylinder with the same radius and double
the height.
The volume of the cylinder is __ in.³.
The volume of a cylinder with the same radius and double the height is __ in.³.
Answers
about 78.54
V=π·5^2·1 = 78.54
Answer:
Find the volume of the cylinder.
[tex]\star \: \: \purple{Volume_{(cylinder)} = \pi {r}^{2} h}[/tex]
[tex]\star \: \: \purple{Volume_{(cylinder)} = 3.14 \times ( {5)}^{2} \times 1 }[/tex]
[tex]\star \: \: \purple{Volume_{(cylinder)} =3.14 \times 25 \times 1 }[/tex]
[tex]\star \: \: \purple{Volume_{(cylinder)} =78.50 \: in {}^{3} }[/tex]
Find the volume of a cylinder with the same radius and double the height.
[tex]\star \: \: \purple{Volume_{(cylinder)} = \pi {r}^{2} h}[/tex]
[tex]\star \: \: \purple{Volume_{(cylinder)} = 3.14 \times {(5)}^{2} \times 2}[/tex]
[tex]\star \: \: \purple{Volume_{(cylinder)} = 3.14 \times 25 \times 2}[/tex]
[tex]\star \: \: \purple{Volume_{(cylinder)} = 157 \: in {}^{3} }[/tex]
What is the slope-intercept equation of the line below?
(2,3)
(0,-5)
Answers
Answer:
y = 4x - 5
Step-by-step explanation:
plug the coordinates into the equation: y = mx + b
3 = 2m + b
-) -5 = 0m + b
___________
8 = 2m => m = 4
substitute 4 into either of the equation 3 = 2m + b or -5 = 0m + b to solve for b
=> 3 = 2(4) + b
=> b = -5
plug m = 4 & b = -5 into the slope-intercept equation: y = mx + b
=> y = 4x - 5
A 10 foot ladder is leaning against a building. It forms a 30 degree angle with the ground. How far away from the building is the foot of the ladder? Round your answer to the nearest hundredth. 5 feet, 5.77 feet, 8.66 feet, or 20 feet
Answers
x = 8.66 ft
Step-by-step explanation:
cos 30 = adj/hyp = x/10
---> x = (10 ft)cos30
= 8.66 ft
PLEASE HELP 10 PTS!!!!!!! :)
What is the volume of a square pyramid with a base length of 6 cm and a height of 9cm?
Answers
Answer:
108 cm³
Step-by-step explanation:
How many cups are on 2.5 liters
Answers
Answer:
10.56 cups is your correct answer
Step-by-step explanation:
To convert liters to cups, multiply the volume value by 4.227
Have a great day!
Answer:
10.567
Step-by-step explanation:
cups in 2 liters is 8.454 and half a liter is 2.113
I just added that