Answers
See diagram below.
===========================================================
Explanation:
The highest point on f(x) is the vertex point since the leading coefficient is negative. The vertex is located at (h,k)
For the general parabola y = ax^2 + bx + c, we can define h to be
h = -b/(2a)
In this case, we plug in a = -2 and b = 8 to find h to be...
h = -b/(2a)
h = -8/(2*(-2))
h = -8/(-4)
h = 2
Then the value of k is equal to f(h). So we plug x = 2 into the f(x) function to get
f(x) = -2x^2 + 8x - 1
f(2) = -2(2)^2 + 8(2) - 1
f(2) = -2(4) + 8(2) - 1
f(2) = -8 + 16 - 1
f(2) = 8 - 1
f(2) = 7
This means k = 7
So the vertex for f(x) is at (h,k) = (2,7)
The max value of f(x) is f(x) = 7 which is the same as y = 7.
The graph shows the highest point is at (0,10). The highest point of g(x) is when y = 10. So this is the largest g(x) can get. We only are concerned with output values when we want to maximize whatever the function is.
Therefore, g(x) produces the larger maximum value compared to f(x).
We can see that if we were to graph both f(x) and g(x) together. The g(x) curve peaks higher compared to f(x).
The diagram is shown below. I used GeoGebra to make the graph, though you could use Desmos or a TI calculator (or similar) if you want.
Related Questions
Find an equation for the perpendicular bisector of the line segment who’s endpoints points are (-9,3) and (1,7).
Answers
Answer:
y = 2/5x + 33/5
Step-by-step explanation:
(-9,3) and (1,7)
m=(y2-y1)/(x2-x1)
m=(7-3)/(1+9)
m=4/10
m = 2/5
y - y1 = m(x - x1)
y - 3 = 2/5(x + 9)
y - 3 = 2/5x + 18/5
y = 2/5x + 33/5
Jennifer deposits $1,000 into an account that is compounded monthly for 4 years. The account earns 7% interest. What is the ending balance in the account at the end of the 4 years (assuming no new deposits or withdrawals)? SHOW THE WORK PLEASE
Answers
9514 1404 393
Answer:
$1,322.05
Step-by-step explanation:
The compound interest formula is appropriate.
A = P(1 +r/n)^(nt) . . . principal P earning annual rate r for t years, compounded n times per year
You have P=1000, r=.07, n=12, t=4, so the balance is ...
A = $1000(1+.07/12)^(12·4) ≈ $1000(1.322054)
A = $1,322.05
Jennifer's ending balance is $1,322.05.
Alyssa swims 3 laps in 12 minutes. At this same
rate, how many laps will she swim in 30 minutes?
Answers
Answer:
I think 7
Step-by-step explanation:
By the way I'm a swimmer, and even I could swim 3 laps under 12 minutes. This poor girl is slow...
I need the answer please
Answers
Answer:
missing angle = 41, b. 45, c. 72
Step-by-step explanation:
A circle has 360 degrees, so add all of the existing angles
48+45+129+97 = 319 and 360-319 = 41
25/200 = 12.5% so 12.5% of 360 = .125x360 = 45
Sector 129 represents 129/360 = 35.83% so 200x.3583=72 cars
The wheels of a car have a radius of 14 inches and are rotating at 750rmp. Find the speed of the car in mi/h
Answers
Three charges are located at the vertices of a triangle, as shown. An isosceles triangle lying on its side. The two charges at the corners of the base of the isosceles triangle are labeled +5 C and +10 C. The top of the triangle is labeled +4 C with 4 vectors from it. The one east is labeled Y, the one west is labeled W, the one northeast is labeled X and the one southeast is labeled Z. Which vector best represents the net force acting on the +4 C charge in the diagram? W X Y Z
Answers
Answer:
y
Step-by-step explanation:
The ratio of yellow flowers to the total number of flowers in a bucket is 5 to 9. How many flowers are yellow if there are 45 lowers in all
Answers
Answer:
There are 25 yellow flowers.
Step-by-step explanation:
The ratio is yellow/all and 5/9.
We know that all the flowers in total equal 45, which is a multiple of 9.
So 45 divided by 9 = 5.
So all I had to do was multiply 5/9 times 5/5.
So then we get the ratio of 45 total flowers with 25 yellow flowers.
Hope this helps!
Which points are the vertices of the ellipse?
points G and H
points J and K
O
points L and N
• points M and N
Answers
Answer:
your answer is point g and h
how do i simplify this problem?
Answers
Answer:
[tex]9x \frac{19}{4}[/tex]
Step-by-step explanation:
Given Expression:
[tex]\sqrt[4]{(3x^3)^3 times (3x^2)^5}[/tex]
Simplification:
[tex]9x\frac{19}{4}[/tex]
Betsy has $4.25 and her brother has $16.00 they want to buy two water guns that cost $12.99 each and a bag of water balloons that cost $4.79. Do they have enough money if so how much money will they have left over. If not how much more money will they need?
Answers
Answer:
No they don't have enough money, they need $10.52
Step-by-step explanation:
So first, you will add 4.25+ 16.00 = $20.25 < This is the amount they have.
Second, they want two water guns so 12.99 x 2 = 25.98 < This is the price for the water guns.
Then, add the price of the water ballons to the guns which is $30.77 < This is the cost for everything they want to buy.
Subtract $30.77 from $20.25 to recieve the answer of $10.52
Hope this helps!
Which of the following measurements, in centimeters (cm), could be the lengths of the sides of a triangle? Select all that apply
3 cm, 4 cm, 5 cm
4 cm, 10 cm, 14 cm
5 cm, 11 cm, 15 cm
06 cm, 6 cm, 13 cm
7 cm, 4 cm, 12 cm
8 cm, 10 cm, 17 cm
Answers
Need help don’t like math help
Answers
Answer:
$21.81
Step-by-step explanation:
add the reduced number to the new number
Answer:
21.81
Step-by-step explanation:
add 1.05 to 20.76
|x+3| x>5
now can you plz just give the answer
Answers
Answer: I would love to help you but I am confused on what you mean by the question.
Step-by-step explanation:
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hmhoo.com/assem stessment HM Growth Measures
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Growth Measure Math | Welcome, HAILEE KNOTT
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Last week Marisol made $147 for working 12 hours at the local park district. How much money will Marisol make if she works 15 hours next weeka
$152.55
$172.50
$180.00
$183.75
77051
Sklo
Answers
Answer:
$183.75
Step-by-step explanation:
divide by 12 (hours)
147/12=12.25
multiply by 15 (hours)
12.25*15=183.75
Hope this helps! :)
please this is quiz due in a hour ill up the points
Answers
Answer:
DE and DF are equal to 2√2
Step-by-step explanation:
According to the 45-45-90 triangle rule, the hypotenuse is equal to the legs times √2, so in order to find the legs, you have to divide 4 by √2 to get 2√2.
Find uw if vw= 5/8 in
Answers
Answer:
4/8, which reduced is 1/2. Final answer!
Step-by-step explanation:
IF RIGHT PLZ GIVE BRAINLIEST
THANK U
HAVE A GREAT DAY AND BE SADE :)
XD
Erin needs to make at least a 75 on her semester exam to maintain a B in the class. Which number line correctly represents this situation?
Answers
find the nth tearm
-5 -2 3 10 19
Answers
Given :
The sequence is -5 , -2 , 3 , 10 , 19 .
To Find :
The nth term of the given sequence .
Solution :
Difference between first 2 terms :
-2 - ( -5 ) = 3 1 term
3 - ( -2 ) = 5 2 term
10 - 3 = 7 3 term
19 - 10 = 9 4 term
From the above observation we can say that difference is increasing in odd number .
So, the nth term will be :
[tex]a_{n+1}= -5 + (2n+1)[/tex] for n greater than equal to 0.
Hence, this is the required solution.
The value v of your quarters in cents) is a function of n, the number of quarters you have.
a. Give 2 input-output pairs that represent this function.
b. Write an equation that represents this function.
c. Find the output when the input is 10.
d. Identify the independent and dependent variables.
Answers
Answer:
a) (2, 0.5) (4, 1)
b) V(n) = 0.25n
c) $2.50
d) # quarters = independent
value = dependent
Step-by-step explanation:
The independent value is the number of quarters and the dependent variable is the value of cents and the equation that represents this function is,
[tex]v(n)=25\times n\rm \;\;cents[/tex]
How to write algebraic expression?Algebraic expression are the expression which consist the variables, coefficients of variables and constants.
The algebraic expression are used to represent the general problem in the mathematical way to solve them.
Steps to write down the simple algebraic expression-
Identify all the factors of the expression.Assume a variable for the changing values.Put a coefficient for the variable, if there is any rate of change of variable.Use constant numbers for the fixed values.a. Give 2 input-output pairs that represent this function.
There is total 25 cent is 1 quarter. Thus, when if there are 2 quarters, then the value of cent is 50 and when there are 4 quarters, then the value of cents is 100 cents.
Hence, the two pairs should be as,
(2, 50), (4, 100)
b. Write an equation that represents this function.As, v is the value of quarters in cents. There is total 25 cent is 1 quarter. The total quarter is n. Thus, the function can be given as,
[tex]v(n)=25\times n\rm \;\;cents[/tex]
c. Find the output when the input is 10.Put the value 10 on the place of n in the above equation as,
[tex]v(10)=25\times (10)\\v(10)=250\rm cents[/tex]
The output when the input is 10 is 250 cents.
d. Identify the independent and dependent variables.The independent value is the number of quarters and the dependent variable is the value of cents.
Hence, the independent value is the number of quarters and the dependent variable is the value of cents and the equation that represents this function is,
[tex]v(n)=25\times n\rm \;\;cents[/tex]
Learn more about the algebraic expression here;
https://brainly.com/question/2164351
Abertura formada por dos
semi-rectas con un mismo
origen llamado vértice.
Answers
Graph each pair of ordered pairs. Then find the distance between the points. Round to the nearest tenth if necessary.
Answers
Answer:
pictures
Step-by-step explanation:
20 characters 7273959272849942883292
Joey has 10 pairs of socks in his drawer. seven of them are white. what percent of colored socks does joey have?
Answers
I’m pretty sure it’s 30%
Answer:
30% of Joey's socks are colored.
Step-by-step explanation:
7/10 x 10
= 70/100
100-70= 30%
In this scatterplot, the horizontal axis indicates years
since 2000 and the vertical axis indicates the population
of a pack of wolves. The equation of a trend line is also
given. Use it to predict the population in 2016.
11
Answers
Answer:
Population of wolves in 2016 = 23
Step-by-step explanation:
Equation of the line of best fit has been given as,
y = 1.5x - 1
Here, y = population of a pack of wolves
x = duration (in years) since year 2000
Duration between year 2000 and 2016 = 16 years
Now we substitute the value x = 16 in the equation of line of best fit,
y = 1.5(16) - 1
y = 24 - 1
y = 23
Therefore, population of wolves in 2016 = 23
Help!
Please show work
Answers
Answer:
131°
Step-by-step explanation:
to find the total degrees of this polygon, we use the equation
=> n - 2 × 180° (n= number of sides)
5 - 2 × 180° = 540°
now by using angle sum property,
540° = 80° + 148° + 81° + 100° + [tex]x[/tex]°
540° = 409° + [tex]x[/tex]°
[tex]x[/tex]° = 540° - 409°
[tex]x[/tex]° = 131°
3 and 4 guys! Please help! I suck at this
Answers
Answer
# 3 is D.(20) and #4 is D. ( The hourly rate charged by the locksmith)
Step-by-step explanation:
Hope that helped :)
Which of the following is NOT one of the angle measures?
Answers
I believe that 95 isn't one of the measures
Jamal is helping pack prize bags for the school carnival. He has 73 pencils to put into 16 bags. He wants to put the same number of pencils in each bag. How many pencils should he put in each bag?
Answers
Answer:
4
Step-by-step explanation:
I73/16 = 4.52
If he wants to put the same number in each bag, he would put 4 in each bag because the pencils cannot be cut into 0.52
The rational and the irrational numbers together are called whole numbers. true or false
Answers
the answer is false
Step-by-step explanation:
natural numbers and zero are whole numbers
3(b + 8) = b + 48 PORFAVOR con plantamiento operacion y resultado, y de paso me explique el temas nsd9ucancuqna :( amaba matematicas. doy corona
Answers
Answer:
b=12
Step-by-step explanation:
3b +24= b +48
-24 -24
3b = b+ 24
-b -b
2b = 24
÷2 ÷2
b=12
Can anyone help me please I am so confused and stuck so please help
Answers
The answers are B and D.