The quadratic function fhas a vertex at (3,4) and opens upward. The quadratic function g is shown below.
g(3) 2(1 – 4)² + 3
Which statement is true?
OA
The maximum value of fis greater than the maximum value of g.
The minimum value of gis greater than the minimum value of f.
O B.
Ос.
The minimum value of fis greater than the minimum value of g.
OD
The maximum value of g is greater than the maximum value of f.
Answers
Answer:
Option (C)
Step-by-step explanation:
Equation of the quadratic function having vertex at (3, 4) and opening upwards,
So the the minimum point of the function is (3, 4).
Therefore, minimum value of the function is 4 at x = 3.
y = (x - h)² + k [Here, (h, k) is the vertex]
g(x) = 2(x - 4)² + 3
Vertex of the parabola is (4, 3).
Since, leading coefficient is positive, parabola will open upwards.
Therefore, vertex will be the minimum point.
Minimum value of the function will be 3 at x = 4.
Minimum value of the function 'f' is greater than the minimum value of the function 'g'.
Option (C) will be the answer.
Answer:
C. The minimum value of f is greater than the minimum value of g.
Step-by-step explanation:
I got a 100% on my test
Related Questions
please help me with this
Answers
Answer: 312 balcony seats and 396 ground seats
Step-by-step explanation:
Multiplying the second equation by 10, we get 10b+10g=7080.
Subtracting this from the first equation, we get that 5b = 1560, and thus b=312.
Thus, g=396.
What is 3/4 divided by 1/2
Answers
Answer:
6/4 or 1 1/2
Step-by-step explanation:
You have to use the Keep Change Flip technique.
Keep 3/4.
Change the division symbol to a multiplication one
Flipi 1/2 to 2/1
and when you multiply the answer is 6/4 = 1 1/2
Find the value of x and y from the equation
Answers
Answer:
x = 5 and y = 3
Step-by-step explanation:
5x - 3y = 16
3x - y = 12 multiply second equation by (-3)
(-3)*(3x-y) = 12*(-3) (remember we need to multiply both sides of the equation)
-9x + 3y = -36 now subtract this from the first equation
5x - 3y -9x + 3y = 16 - 36 (-3y will eliminate +3y)
-4x = -20 and 4x = 20 divide both sides by 4
x = 5 if 3x - y = 12 then 3*5 - y = 12
15 - y = 12
-y = -3 and y = 3
please help me solve this
6-4y=8
Answers
Step-by-step explanation:
6-4y=8-4y= 8-6y=2/-4y=1/-2hope it helps..stay safe healthy and happy....Answer:
{\color{#c92786}{6-4y}}=8
6−4y=8
−4+6=8
{\color{#c92786}{-4y+6}}=8
−4y+6=82
Subtract from both sides of the equation
=
−
1
2
A box contains 6 red index cards, 3 yellow index
cards, and 4 green index cards. If Gabriella pulls out
2 cards at random from this box, without replace-
ment, what is the probability that both cards are
not green?
Answers
Answer:
11/15 = 73%
Step-by-step explanation:
because in total there are 15 cards and 4 of them is not green. You would want to see what is the probability of other colored carded after leaving out the green ones.
The probability that both cards drawn from the box are not green is 27/52.
To determine the probability that both cards drawn from the box are not green, we need to calculate the probability of each individual draw and multiply them together.
Initially, the box contains a total of 6 red index cards, 3 yellow index cards, and 4 green index cards.
For the first draw, there are a total of 13 cards in the box. Since we are interested in the probability of not drawing a green card, there are 13 - 4 = 9 non-green cards. Therefore, the probability of not drawing a green card on the first draw is 9/13.
For the second draw, there will be 12 cards left in the box. Since one green card has already been removed, there are now 12 - 3 = 9 non-green cards remaining. Thus, the probability of not drawing a green card on the second draw is 9/12.
To find the overall probability, we multiply the probabilities of each individual draw:
(9/13) * (9/12) = 27/52
To learn more about probability click on,
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explain correct answer pls!!
If t = 20u and r= 5u/2 , which of the following is equivalent to 3rt, in terms of u?
A) 50u^2
B) 150u^2
C) 200u^2
D) 300u^2
Answers
Answer:
B
Step-by-step explanation:
t = 20u
r = 5u/2
3rt = 3((20u)(2.5u))
3rt = 3(50u)
3rt = 150u
The value for the expression 3rt is 50u².
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
We have t = 20u and r= 5u/2.
We have to find the value of 3rt by putting the value of t and r as
3rt
= 3 (5u/ 2) (20u)
= 5u x 10u
= 50 u x u
= 50 u²
Learn more about Equation here:
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Given triangles MNP and QRP are similar triangles, and side MN equals 16 in and QR equals 48 in, what is the scale factor of the dilation from triangle MNP to QRP? "
Answers
Answer:
Scale Factor 3
Step-by-step explanation:
According to the Question,
Given That, triangles MNP and QRP are similar triangles, and side MN equals 16 in and QR equals 48 .Therefore, the scale factor of the dilation from triangle MNP to QRP is
Scale Factor = QR/MN ⇒ 48/16 ⇒ Scale Factor 3Someone please tell me what the cube root of x to the power of 3 is?
Answers
Answer:
x
Step-by-step explanation:
The cube root of x to the power of 3 is
( [tex]\sqrt[3]{x}[/tex] )³ = ( [tex]x^{\frac{1}{3} }[/tex] )³ = x
or
[tex]\sqrt[3]{x^3}[/tex] = x
1) Venn-diagram of-
AUBUC={a,b,c,d,e}U{d,e,f,g,h,i}U{a,e,i,o,u}
Answers
Answer:
AUBUC= { a,b,c,d,e,f,g,h,i,o,u}
Select three ratios equivalent to 4:34:34, colon, 3.Select three ratios equivalent to 4:34:34, colon, 3.
Answers
Answer:
A
C
D
Step-by-step explanation:
Select three ratios that are equivalent to 4:3.
Choose 3 answers:
(Choice A)
8:6
(Choice B)
9:12
(Choice C)
20:15
(Choice D)
32:24
(Choice E)
36:28
Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).
To determine which fractions are equivalent to 4:3 express the options in their lowest terms
option 1 - 8 : 6
To transform to the simplest form. divide the numbers by 2
4 : 3 this is equivalent
option 2 : 9 : 12
To transform to the simplest form. divide the numbers by 3
= 3 : 4 this is not equivalent
option 3 : 20:15
To transform to the simplest form. divide the numbers by 5
4 : 3 this is equivalent
option 4 : 32:24
To transform to the simplest form. divide the numbers by 8
4 : 3 this is equivalent
option 5 : 36:28
To transform to the simplest form. divide the numbers by 4
9 : 7 this is not equivalent
A car repair will cost $100 for parts plus $50 per hour for labor. Enter the function y that represents the total cost in dollars of the car repair if it requires x hours of labor.
Answers
Answer: y = $50x + 100
$100 is the y-intercept$50 is the slopeHow do I work this out??
Answers
Answer:
quarter 2/ 5
Step-by-step explanation:
Evan, James, and Burt are fishing in a lake that has 200 fish. They are going to be fishing for three hours. What is the probability that they each will catch 3 fish?
Answers
Answer:
The probability that they each will catch 3 fish is 0.000063956
Step-by-step explanation:
The hyper geometric distribution is used to solve this as it has a population, a sample , number of successes for both the population and sample.
Here
Population size= N =200
Sample size= n =9= (3*3)
Number of successes in population = k = 3 hours
Number of successes in sample = x= 3
Applying the hyper geometric distribution
P (x=3) = kCx *(N-k) C (n-x)/ N Cn
= 3 C 3 * 197 C 6/ 200 C 9
=0.000063956
The probability that they each will catch 3 fish is 0.000063956
4m square - 8mn+3n ( resolve into factors)
Answers
Step-by-step explanation:
your answer will be ( 2m-3n)(2m-n)
Explanation is in the attachment
hope it is helpful to you
hope it is helpful to you
Step-by-step explanation:
[tex]4 {m}^{2} - 8mn + 3 {n}^{2} \\ 4 {m}^{2} - (2 + 6)mn + 3 {n}^{2} \\ 4 {m}^{2} - 2mn + 6mn + 3 {n}^{2} \\ 2m(2m - n) - 3n(2m - n) \\( 2m - 3n) \: (2m - n)[/tex]
Which of the following expressions are equivalent to (x+y)-(-z)
Choose all answers that apply:
A. (x+y)-z
B. x+(y+z)
C. none of the above
Answers
Answer:
B
Step-by-step explanation:
(x+y)-(-z)
=(x+y)-(-z)
=(x+y)+z
=x+(y+z)
a.20
b.25
c.15
d.1
help me
Answers
hope that helps :)
Can someone help me with this math homework please!
Answers
Answer:
Step-by-step explanation:
In step one she has added 1x to each side of the statement
in step two she has taken five away from both sides of the equation therefore simplifying the entire equation
in step three she divided both sides by three to have the unknown value on one side of the equation
I need equation of the linear function represented by the table below in the slope intercept form
Answers
Answer:
y = 2x - 2
Step-by-step explanation:
Because the table.
Answer:
Step-by-step explanation:
y/2 = (x-1)/(2-1)
y/2 = x-1
y = 2x - 2
Help please I’m really stuck.
Answers
Answer:
35 miles
Step-by-step explanation:
To get the total number of miles, you add up the value of the X's to get 35 miles. Have a great day!
A new car sells for $25,000. The value of the car decreases by 15% each year. What is the approximate value of the car 5 years after it is purchased? 25,000 (1 minus 0.15) Superscript 5, or approximately $11,093 25,000 minus 1500 (5), or approximately $17,500 25,000 (0.15) Superscript 5, or approximately $18,984 25,000 minus left-bracket (100 minus 15) (5) Right-bracket, or approximately $24,575
Answers
Answer:
A. 25,000 (1 minus 0.15) Superscript 5, or approximately $11,093
Step-by-step explanation:
A. 25,000 (1 minus 0.15) Superscript 5, or approximately $11,093
B. 25,000 minus 1500 (5), or approximately $17,500
C. 25,000 (0.15) Superscript 5, or approximately $18,984
D. 25,000 minus left-bracket (100 minus 15) (5) Right-bracket, or approximately $24,575
Value of the car = $25,000
Percentage decrease per year = 15%
Value after 5 years
Total percentage value of the car = 100%
Percentage value remaining each year = (100% - 15%)
= (1 - 0.15)
Decrease of the car in the next 5 years = $25,000(1 - 0.15)^5
= $25,000(0.85)^5
= $25,000(0.4437053125)
= $11,092.6328125
Approximately = $11.093
Value of the car in the next 5 years = $25,000 - $11,093
= $13,907
Answer:
It's A, $11,093
Step-by-step explanation:
Took the test on Edge
Hello can someone help me with this problem
Answers
A client has two refrigerators, one in the kitchen and one in the basement.The former is new and efficient. The latter is 30 years old and uses 120Kwh/month. If this client pays 0.15/kwh
Answers
Incomplete question: we assume figures to explain further
Answer and explanation:
Given that client pays $0.15/kwh
If old fridge is inefficient and consumes 120kwh/month
And new fridge is efficient and therefore consumes 50kwh/month
For the old fridge, client will be paying
120×0.15= $18 per month on electricity charges
For the new fridge, client will be paying
50×0.15= $7.5 per month on electricity charges
Look at the image pls help
Answers
Answer: i need the formula to help i promise i will but i need the formula for the slanted f
Step-by-step explanation:
Answer:
is 34
Step-by-step explanation:
^<- this is the square sing
f(1)+f(-2) for f(x)=4x^2+7
f(1)=4(1)^2+7
=4+7
f(1) =11
f(-2)=4(-2)^2+7
if you square -2 there will not be no -
-2 the whole square is 4
=4(4)+7
f(-2)=23
f(1)+f(-2)=11+23=34
:. The answer is 34
Lana is the oldest of four sisters. Her youngest sister is half her age. The other two sisters are twins $2$ years younger than Lana. When the four sisters' ages are added together, the result is $45$. If the youngest sister is $n$ years old, what is $n$?
Answers
2n+n+2n-2+2n-2=45
7n-4=45
7n=49
n=7
What is the inverse of the function f(x) = 1/9x + 2
Answers
Answer:
9x-18=y
Step-by-step explanation:
by switching the places of x and y and solving for y
PLEASE HELP ME im so lost on this
Answers
Answer:
Step-by-step explanation:
Dan was thinking of a number. Dan doubles it and gets an answer of 34.7. What was the original number?
Answers
A is 5 times B, and B is 7 less than 2 times C. Which of the following statements describes the
relationship betweeen A & C?
(a) A is 7 less than 7 times c
(b) A is 7 less than 10 times C
(C) A is 14 less than 7 times C
(d) A is 35 less than 7 times C
(e) A is 35 less than 10 times C.
Answers
Answer:
C is the answer
Step-by-step explanation:
I'm sure it is
this is my last set of questions if anyone could get them all completed I have 15 points on it If you could add a small explanation so I can learn from it really appreciate it :) brainliest for anyone who does all 3 questions
Answers
Answer:
832.5
A unit rate is a rate with 1 in the denominator.
Gente por favor ayuda tengo que presentarlo hoy:(
Answers
Answer:
english pls :c
Step-by-step explanation: