4. Compare the function f(x) = –x^2 – 4x + 3 with the function g(x), graphed here. Which function has a greater absolute maximum?
Answers
Answer:
f(x) has the greater absolute maximum
Step-by-step explanation:
[tex]f(x)=-x^2-4x+3 \\\\f'(x)=-2x-4=-2(x+2)[/tex]
so f'(x)=0 for x = -2 and f(-2)=-4+8+3=11-4=7
so f(x) has the greater absolute maximum
hope this helps
Related Questions
A water tank is leaking such that for each of the next 5 hours, the amount of water in the tank will be 2 gallons less than at the end of the previous hour. What type of relationship most appropriately models this situation? A. linear increase B. exponential growth C. linear decrease D. exponential decay
Answers
Answer:
C. Linear decrease
Step-by-step explanation:
I can't really show a graph but I will try to explain
The water is leaking at a constant rate, meaning its not regaining it water (its only leaking). So if u were to graph this it would be a linear decrease
( That was a Terrible explanation but the answer is right lol)
Find the total current drawn by the following appliances by adding the currents of
each appliance. Electric iron: 4.12 amps, clock: 0.02 amps, light bulb: 0.91 amps, and a
workshop motor: 1 amp.
Answers
Answer:
The total current drawn is 6.05 amps
Step-by-step explanation:
Simply add the current that each appliance draws, to get the total current required. Notice that they are all given in the same units (amps), so there is no units conversion needed:
Electric iron : 4.12 amps
Clock; 0.02 amps
light bulb : 0.91 amps
motor : 1 amp
Total current : 4.12 amps + 0.02 amps + 0.91 amps + 1 amp = 6.05 amps
The segments shown below could form a triangle
O A. True
O B. False
Answers
Answer:
Which value of a in the exponential function below would cause the function to stretch?
(one-third) Superscript x
0.3
0.9
1.0
1.5
Step-by-step explanation:
Answer:
This can form a triangle
Step-by-step explanation:
Taking the two smaller segments
The larger segment must be greater than the sum of the two smaller
6+5 > 8
11>8 true
Find the missing number in the pattern! PLEASE HELP The half-life of caffeine is 5 hours; this means that approximately 1/2 of the caffeine in the bloodstream is eliminated every 5 hours. Suppose you drink a 16-ounce drink that contains 80 mg of caffeine. Suppose the caffeine in your bloodstream peaks at 80 mg. 1. How much caffeine will remain in your bloodstream after 5 hours? 10 hours? 1 hour? 2 hours? Record your answers in the table
Answers
Answer:
After five hours, there will be 40 mg of caffeine remaining in the blood.
After 10 hours, 20 mg.
After only one hour, about 69.64 mg.
And after two hours, about 60.63 mg.
Step-by-step explanation:
We are given that one-half of the caffeine in the bloodstream is eliminated every five hours.
We are also given that the initial amount is 80 mg.
Using this information, we can write the following function:
[tex]\displaystyle f(x)=80\left(\frac{1}{2}\right)^{\dfrac{x}{5} }[/tex]
Where x is the number of hours that has passed.
Using this function, we can evaluate for f(5), f(10), f(1), and f(2).
They evaluate to:
[tex]f(5)=40[/tex] [tex]f(10)=20[/tex] [tex]f(1)\approx 69.6440[/tex] [tex]f(2) \approx 60.6287[/tex]
So, after five hours, there are 40 mg of caffeine remaining in the blood.
After 10 hours, 20 mg of caffeine.
After only one hour, about 69.64 mg.
And after two hours, about 60.63 mg.
Use a calculator to find tan 72°. Round to the nearest thousandth.
Answers
Answer:
3.078
Step-by-step explanation:
tan 72° = 3.078
Answer:
tan 72 = 3.078
Step-by-step explanation:
rounded like requested
Which scenario is modeled by the equation (x) (0.65) = 36 dollars and 48 cents? A pair of boots is on sale for 35 percent off. The sale price of the boots is x, $56.12. A pair of boots is on sale for 65 percent off. The sale price of the boots is x, $56.12. A pair of boots is on sale for 35 percent off. The original price of the boots is x, $56.12 A pair of boots is on sale for 65 percent off. The original price of the boots is x, $56.12.
Answers
Answer:
A pair of boots is on sale for 65 percent off. The original price of the boots in x, $56.12
Step-by-step explanation:
The decimal that is initially being multiplied by x will always be the tax amount so .65 equal 65% so they match. And once you go through with the equation you will see that the number you end up with is 56.12 so it is between original price and sales price to see if you get the correct answer. So seeing as the scenario they gave us above was for a discount or VAT price we would be lead to assume that we are looking for the ORIGINAL price.
A pair of boots are on sale for 65 percent off. The original price of the boots in x was $56.12
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
What is an example of an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.
Learn more about an equation here https://brainly.com/question/2972832
#SPJ2
jessica put 4 tables together for the Pie day sale. Each table is 42 inches long. What is the total length of the tables expressed in feet and inches
Answers
Answer:
14 feet OR 168 inches
Step-by-step explanation:
4 tables multiplied by 42 inches equals 168 inches total
168 inches divided by 12 inches per feet equals 14 feet.
If anyone is good at math can you help me pls :/
Answers
Answer:
C
Step-by-step explanation:
An apothem is a line segment connecting the center of a regular polygon to the midpoint of its vertex.
Select the three expressions that are equivalent to 6^{2}6 2 6, squared. a: (6^9/6^8)^2 b: 6 times 6 times 6 times 6 times 6 times 6 times 6 / 6 times 6 times 6 c: 6^4/6^2 d: 6^5 times 6^7/6^10
Answers
Question:
Select the three expressions that are equivalent to [tex]6^2[/tex]:
a: [tex](\frac{6^9}{6^8})^2[/tex]
b: [tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 }[/tex]
c: [tex]\frac{6^4}{6^2}[/tex]
d: [tex]\frac{6^5 * 6^7}{6^{10}}[/tex]
Answer:
a: [tex](\frac{6^9}{6^8})^2[/tex]
c: [tex]\frac{6^4}{6^2}[/tex]
d: [tex]\frac{6^5 * 6^7}{6^{10}}[/tex]
Step-by-step explanation:
Given
[tex]6^2[/tex]:
Required
Find equivalent expressions
To solve this question; we'll simplify options a to do, one after the other
a: [tex](\frac{6^9}{6^8})^2[/tex]
From laws of indices;
[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]
This implies that;
[tex](\frac{6^9}{6^8})^2 = (6^{9-8})^2[/tex]
[tex](\frac{6^9}{6^8})^2 = (6^{1})^2[/tex]
From laws of indices;
[tex]{a^m}^n = a^{m*n} = a^{mn}[/tex]
This implies that
[tex](\frac{6^9}{6^8})^2 = (6^{1*2})[/tex]
[tex](\frac{6^9}{6^8})^2 = 6^{2}[/tex]
Hence, [tex](\frac{6^9}{6^8})^2[/tex] is equivalent to [tex]6^2[/tex]
b. [tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 }[/tex]
From laws of indices;
[tex]a^m * a^n = a^{m+n}[/tex]
This implies that
[tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 } = \frac{6^{1+1+1+1+1+1}}{6^{1+1+1}}[/tex]
[tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 } = \frac{6^{6}}{6^{3}}[/tex]
From laws of indices;
[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]
This implies that
[tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 } = 6^{6-3}[/tex]
[tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 } = 6^{3}[/tex]
Hence; [tex]\frac{6 * 6 * 6 * 6 * 6 * 6 * 6}{6 * 6 * 6 }[/tex] is not equivalent to [tex]6^2[/tex]
c. [tex]\frac{6^4}{6^2}[/tex]
From laws of indices;
[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]
This implies that
[tex]\frac{6^4}{6^2} = 6^{4-2}[/tex]
[tex]\frac{6^4}{6^2} = 6^{2}[/tex]
Hence, [tex]\frac{6^4}{6^2}[/tex] is equivalent to [tex]6^2[/tex]
d. [tex]\frac{6^5 * 6^7}{6^{10}}[/tex]
From laws of indices;
[tex]a^m * a^n = a^{m+n}[/tex]
This implies that
[tex]\frac{6^5 * 6^7}{6^{10}} = \frac{6^{5+7}}{6^{10}}[/tex]
From laws of indices;
[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]
This implies that
[tex]\frac{6^5 * 6^7}{6^{10}} = 6^{5+7-10}[/tex]
[tex]\frac{6^5 * 6^7}{6^{10}} = 6^{2}[/tex]
Hence, [tex]\frac{6^5 * 6^7}{6^{10}}[/tex] is equivalent to [tex]6^2[/tex]
Need help if you can, help please help
Answers
Answer:
4.4 km/h
Step-by-step explanation:
From the graph you can see she was at the shop after 30 minutes. If you travel 2.2 km in 30 minutes, your speed is 2.2 / 0.5 = 4.4 km/h
So the trick is to express the 30 minutes as 1/2 hour.
Answer:
4.4 km/h
Step-by-step explanation:
Andy has $7,411 in a savings account. The interest rate is 11%, compounded annually.
To the nearest cent, how much interest will he earn in 2 years?
Use the formula B = P(1 + r), where B is the balance (final amount), p is the principal
(starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Submit
Please help :)
Answers
Answer:
$1720.0931 will earn as interest in 2 years
Step-by-step explanation:
Principal = $7411
Rate of interest = 11% compounded annually
Time = 2 years
Formula : [tex]A = P(1+r)^t[/tex]
[tex]A=7411(1+0.11)^2[/tex]
A=9131.0931
Interest = Amount - Interest =$9131.0931 - $7411
Interest = $1720.0931
Hence $1720.0931 will earn as interest in 2 years
Tatiana made a two-way table to describe what her friends like at the amusement park. Which could be the columns and rows for Tatiana’s table? columns: likes roller coasters, likes water rides; rows: doesn’t like roller coasters, doesn’t like water rides columns: likes water rides, doesn’t like roller coasters; rows: doesn’t like water rides, likes roller coasters columns: likes roller coasters, doesn’t like roller coasters; rows: likes water rides, doesn’t like water rides columns: doesn’t like water rides, likes roller coasters; rows: doesn’t like roller coasters, likes water rides
Answers
Answer:
columns: likes roller coasters, doesn’t like roller coasters;
rows: likes water rides, doesn’t like water rides
Step-by-step explanation:
You want to aks to your friends if they like or not water rides and roller coasters.
In a two-way table, a person goes only in one of the columns and only in one of the rows. Then, the columns would be: like A, doesn't like A; and the rows: like B, doesn't like B. Therefore if 10 people like roller coasters and don’t like water rides:
likes roller coasters doesn’t like roller coasters
likes water rides
doesn’t like water rides 10
Answer:
C
Step-by-step explanation:
BELIVE IT
A sequence is defined by the recursive function f(n+1)= f(n) -2. If f(1) =10. what is f(3)?
Answers
Answer:
f(3) is 30
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Find all possible values of the fraction below. (Assume different letters are different digits, and the same letters are the same digits.) (G*R*O*U*N*D)/(B*A*S*E)
Answers
Answer:
there is one possible value: 0.
Step-by-step explanation:
We have 10 different letters in this fraction {G,R,O,U,N,D,B,A,S,E} and only 10 different digits {0,1,2,3,4,5,6,7,8,9}. It means that some letter must be equal to 0. Consider two cases:
I case:
[tex]0 \in \{G, R, O, U, N, D\}[/tex]. Then enumerator of fraction must be equal to zero (because product of numbers with zero among them always zero).
So [tex]\frac{GROUND}{BASE} = \frac{0}{BASE} = 0[/tex] in this case.
II case:
[tex]0 \in \{B,A,S,E\}[/tex]. Then for the same reasons as in I case denominator of fraction is equal to zero. And we know that fraction
[tex]\frac{BASE}{0}[/tex] is not well-defined.
whats the answer???
Answers
Answer:The answer is C 20 cm^3
Step-by-step explanation:
You just multiply 2 by 2 and get 4 and you have 5 squares and you get 4 times 5 which is 20 cm^3
Answer:
Divide the figure into 5 squares.
then find the area 1 square and multiply with 5.
Area of square=s*s
=4 cm²
Then 5*4=20 cm²
so c is the correct option.
HOPE IT HELPS!
Given:
MNOP is a parallelogram
Prove:
PM ON
(For this proof, use only the definition of a parallelogram; don’t use any properties)
Answers
Answer:
[tex]\overline{PM}\cong\overline{ON}[/tex]:, Segment subtended by the same angle on two adjacent parallel lines are congruent
Step-by-step explanation:
Statement, Reason
MNOP is a parallelogram:, Given
[tex]\overline{PM}\left | \right |\overline{ON}[/tex]:, Opposite sides of a parallelogram
∠PMO ≅ ∠MON:, Alternate Int. ∠s Thm.
[tex]\overline{MN}\left | \right |\overline{PO}[/tex]:, Opposite sides of a parallelogram
∠POM ≅ ∠NMO:, Alternate Int. ∠s Thm.
OM ≅ OM:, Reflexive property
[tex]\overline{PM}\cong\overline{ON}[/tex]:, Segment subtended by the same angle and on two adjacent parallel lines are congruent
Help please For the following function, construct a table.
Answers
Answer:
See the attachment below.
Step-by-step explanation:
Best Regards!
Antonio was eating a bag of M&Ms. There were 4 green M&Ms, 20 brown M&Ms, 16 red
M&Ms, and 11 blue M&Ms. What is the probability of Antonio eating a blue M&M next?
Answers
Answer:
11/51 or 0.21468627
Step-by-step explanation:
The vertex of this parabola is at (2,-1). When the y value is 0, the value is 5.
What is the coefficient of the squared term in the parabola's equation?
(2.-1)
A.-3
B. -4
c. 4
D. 3
Answers
Answer:
Option D.
Step-by-step explanation:
The vertex form of a parabola along y-axis is
[tex]y=a(x-h)^2+k[/tex]
where, (h,k) is vertex and, a is constant and it is equal to coefficient of the squared term in the parabola's equation.
The vertex of the parabola is (2,-1). So, h=2 and k=-1.
[tex]y=a(x-2)^2-1[/tex]
The graph passes through (5,0). So,
[tex]0=a(5-2)^2-1[/tex]
[tex]1=9a[/tex]
[tex]\dfrac{1}{9}=a[/tex]
It means coefficient of the squared term is 1/9, which is not the option. So, parabola must be along the x-axis.
The vertex form of a parabola along x-axis is
[tex]x=a(y-k)^2+h[/tex]
where, (h,k) is vertex and, a is constant and it is equal to coefficient of the squared term in the parabola's equation.
The vertex of the parabola is (2,-1). So, h=2 and k=-1.
[tex]x=a(y+1)^2+2[/tex]
The graph passes through (5,0). So,
[tex]5=a(0+1)^2+2[/tex]
[tex]5-2=a[/tex]
[tex]3=a[/tex]
It means coefficient of the squared term is 3.
Therefore, the correct option is D.
Which of these numbers equals 30.75 -3? A. -92.25 B. -10.25 C. 10.25 D. 92.25
Answers
Answer:
27.75
Step-by-step explanation:
30.75 - 3
Subtract the terms.
= 27.75
Answer:
b
Step-by-step explanation:
30.75 divided by -3 = -10.25
graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 3, negative 2, and 2 Which of the following functions best represents the graph? f(x) = (x − 2)(x − 3)(x + 2) f(x) = (x + 2)(x + 3)(x + 12) f(x) = (x + 2)(x + 3)(x − 2) f(x) = (x − 2)(x − 3)(x − 12)
Answers
Answer:
i would say f(x) = (x-2)(x-3)(x+2) but i could be wrong its a confusing question the way it's worded
Step-by-step explanation:
involving the use of variables, properties, expressions, and equations
Answers
Properties: a property is any characteristic that applies to a given set.
Expression: DescriptionIn mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations. For example, 3x² − 2xy + c is an algebraic expression. Since taking the square root is the same as raising to the power, is also an algebraic expression.
Equation: In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value. The most basic and common algebraic equations in math consist of one or more variables.
Hope this answer is helpful
Please mark me as brainliest
Which scatterplot correctly represents the table of values below? Number of years collecting stamps Number of stamps in collection 2 100 5 175 4 150 3 125 4 175 3 100 A graph titled Years Collecting Stamps versus Stamps in Collection has years collecting stamps on the x-axis and stamps in collection on the y-axis. Points are at (2, 100), (3, 100), (3, 125), (4, 150), (4, 175), (5, 200). A graph titled Years Collecting Stamps versus Stamps in Collection has years collecting stamps on the x-axis and stamps in collection on the y-axis. Points are at (2, 100), (3, 100), (3, 150), (4, 150), (4, 175), and (5, 175). A graph titled Years Collecting Stamps versus Stamps in Collection has years collecting stamps on the x-axis and stamps in collection on the y-axis. Points are at (2, 100), (3, 100), (3, 125), (4, 150), (4, 175), (5, 175). A graph titled Years Collecting Stamps versus Stamps in Collection has years collecting stamps on the x-axis and stamps in collection on the y-axis. Points are at (2, 75), (3, 100), (3, 125), (4, 150), (4, 175), and (5, 175).
Answers
Answer:
C. A graph titled Years Collecting Stamps versus Stamps in Collection has years collecting stamps on the x-axis and stamps in collection on the y-axis. Points are at (2, 100), (3, 100), (3, 125), (4, 150), (4, 175), (5, 175)
Step-by-step explanation:
In the x-axis goes the values from the column 'Number of years collecting stamps' of the table. And In the y-axis goes the values from the column 'Number of stamps in collection' of the table.
To make the graph identify each pair of values in the plane and mark it.
Answer:
c
Step-by-step explanation:
its corect on edge
Un edificio proyecta una sombra de 25 metros y del punto más alto de este al punto final de la sombra hay una distancia de 53 m ¿cuál es la altura del edificio?
Answers
Answer:sorry no spanish
Step-by-step explanation:
Town B is 40km due North of town A. what is the bearing of A from B
Answers
Answer:
Step-by-step explanation:
40km is the bearing
Find x and y. Give reasons to justify your solution. AB is a straight line.
I need this fast. Please
Answers
Answer:
x=8 y=21
Step-by-step explanation:
27 + 3y = 90 degrees
divide by 3
9+y=30
y=21 degrees
90+8x+18+x=180
9x+108=180
divide by 9
x+12=20
x=8
The composite figure is made up of a triangle, a square and a trapezoid find the area
Answers
===============================================
Work Shown:
P = area of triangle
P = 0.5*base*height
P = 0.5*5*4
P = 10 square units
----------------
Q = area of square
Q = side*side
Q = 5*5
Q = 25 square units
----------------
R = area of trapezoid
R = height*(base1+base2)/2
R = 5*(7+5)/2
R = 5*12/2
R = 60/2
R = 30
----------------
T = total area of the entire figure
T = P+Q+R
T = 10+25+30
T = 65 square units
Answer: 71 sq. units
Step-by-step explanation:
formula: 1/2bh + lw + 1/2h(b1+b2)
1/2(20) + (25) + 1/2 (6) (12)
10 + 25 + (3) (12)
10+ 25 + 36 = 71
If y varies directly as x, and y is 6 when x is 72, what is the value of y when x is 8?
1/9
2/3
54
96
Answers
Answer:
Y=2/3
Step-by-step explanation:
Y varies directly as X
Y=k x
K is a constant
6=k72
K=1/12
Y=1/12x
Y=1/12×8
y=2/3
Find
[tex]( {10x}^{2} - 11x + 8) + ( {2x}^{2} + 7x - 5 )[/tex]
Answers
Answer:
[tex]12x^2-4x+3[/tex]
Step-by-step explanation:
Parentheses do not matter in this equation.
[tex](10x^2-11x+8)+(2x^2+7x-5)=\\10x^2-11x+8+2x^2+7x-5=\\12x^2-11x+8+7x-5=\\12x^2-4x+8-5=\\12x^2-4x+3[/tex]
Our answer is [tex]12x^2-4x+3[/tex]
The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as L = 10 log StartFraction I Over I 0 EndFraction, where I 0 = 10 Superscript negative 12 and is the least intense sound a human ear can hear. What is the approximate loudness of a rock concert with a sound intensity of 10–1?
a. 2Db
b.22Db
c. 60Db
d. 110Db
Answers
Answer:
D. 110Db
Step-by-step explanation:
Db = 10log (10^-1 / 10 ^-12)
Db = 10log(10^11)
Db = 110
(even without calculating, we could guess that it was 110Db. 70 Db is about the normal talking Db, and rock concerts are generally a lot louder than regular talking)
Answer:
D. 110Db
Step-by-step explanation: