Answers
9514 1404 393
Answer:
a = -2/3, b = 8, c = -24y-intercept: (0, -24)x = -b/(2a) = -8/(2(-2/3)) = 8(4/3)x = 6DOWNMax: (6, 0)Vertex: (6, 0)Domain: {x | x ∈ ℝ}Range: {x | x ≤ 0}Step-by-step explanation:
To find a, b, c, compare the given function to ...
f(x) = ax² +bx +c
You will see that ...
a = -2/3b = 8c = -24The y-intercept is the function value for x=0. It is the constant term:
y-intercept = f(0) = -24
Use the above values of a, b to find the line of symmetry.
[tex]x = \dfrac{-b}{2a}=\dfrac{-8}{2\cdot\dfrac{-2}{3}}=8\cdot\dfrac{3}{4}=6[/tex]
Per the calculation, the line of symmetry is ...
x = 6
The negative leading coefficient tells you the parabola opens DOWN.
Because it opens down, the vertex at (6, 0) is a Maximum.
As with any polynomial, the domain is "all real numbers", hence any x that is an element of Reals.
The range is all values below the vertex (including the vertex), so is ...
x ≤ 0
Related Questions
Jon is developing a new bread recipe. The relationship between cups of water, w, and cups of flour, f, is w = f. What is the scale factor of water to flour?
Answers
Answer:
1:1
Step-by-step explanation:
w = f, which means the amount of water equals the amount of flour.
A young girl looks out the window of an airplane flying at an altitude of 436 feet and sees a boat floating in the lake. If she looking at the boat at an angle of depression of 50 degrees, then how far is the boat from the plane, to the nearest tenth of a foot?
Answers
what is (6x-4)+(5z+8)
Answers
Combine like terms.
6x + 5z + 4
the fastest elevators in the Burj Khalifa can travel 330 feet in just 10 seconds how far does the elevator travel in 11 seconds
Answers
Answer:
363 feet
Step-by-step explanation:
330 ft / 10 seconds = 33 ft per second
33 * 11 seconds = 363 feet
Last weekend, the movie theater in Lowell issued 2,320 tickets to comedies. This
weekend, it issued 116 tickets to comedies. What is the percent of decrease in the number of
comedy ticket issued per weekend?
Answers
Answer:
95%
Step-by-step explanation:
95% of 2,320 = 2204
2320 - 2204 = 116
5. Find the factors for the given quadratic.
x2 -21x + 20
Answers
Answer:
(x - 20)(x - 1)
Step-by-step explanation:
Given
x² - 21x + 20
Consider the factors of the constant term (+ 20) which sum to give the coefficient of the x- term (- 21)
The factors are - 20 and - 1 , since
- 20 × - 1 = + 20 and - 20 - 1 = - 21 , thus
x² - 21x + 20 = (x - 20)(x - 1) ← in factored form
Answer:[tex](x-1)(x-20)[/tex]
Step-by-step explanation:
(x-1)(x-20)
[tex]x^{2}[/tex]-20x-1x+20
[tex]x^{2}[/tex]-21x+20
Create a graph of your equation from part b
Answers
Answer:
where is part b?
Step-by-step explanation:
can i see a picture of part b?
A line contains points M(1, 3) and N(5, 0). What is the slope of MN? -4/3 -3/4 3/4 4/3
Answers
Answer:
Step-by-step explanation:
B
Help me please, if you don’t know, don’t answer. Thank you <3
Answers
Answer:
Step-by-step explanation:
1). (B). Replace one equation with the sum/difference of both equation.
System B is
- 4x - 6y = 9 ........ (1B)
-4x + 3x = - x
- 6y + y = - 5y
9 - 4 = 5
- x - 5y = 5 ........ (2B)
2). Yes, both system are equivalent.
If a question is like this” 10•1/2” but like there’s a dot in the middle of the problem how do I find out??
Answers
Answer:
The answer is 5.
Step-by-step explanation:
That dot is basically a multiplication sign.
Answer:
the dot is a sign for multiplication. Sometimes people use "•" because "x" can sometimes confuses people because "x" is a variable in algebra as well
Step-by-step explanation:
1. If m varies directly as v2 and m = 3, when v =2, calculate the value of m when v =9.
(3marks)
Answers
Answer:
m = 2/3[tex]2 \frac{3 \\ }{?} [/tex]NEED HELP THIS IS TIMED WILL MARK BRAINIEST!!!
Answers
Answer:
It’s A hope this is right good luck
Samantha has 8 blue shirts, 4 red shirts, and 6 white shirts. What is the ratio of red shirts to the total number of shirts?
O A. 2:9
O B. 2:7
O C. 2:5
OD. 2:3
Answers
Answer:
the answer is B 2:7
Step-by-step explanation:
In August, the Simons’ water bill was $48. In September, it was 15% lower. What was the Simons’ water bill in September?
Answers
Answer:
Multiply 48 by .15, you get 7.20
Subtract 7.20 fro 48
Your answer is $40.80
Have a great day and thanksgiveing break
Answer:
Step-by-step explanation:
Multiply 48 by .15, you get 7.20
Subtract 7.20 fro 48
Your answer is $40.80
does this help
Qual é a soma das coordenadas do vértice de uma função do segundo grau definida por f(x) = 2x² + 10x + 12?
Answers
Answer:
???
Step-by-step explanation:
how do u put 3 2/5 in a over b form
Answers
Answer:
is it 17/5?
Step-by-step explanation:
этот сайт утомителен, так как здесь есть бесплатные баллы. также безмозглый
Answers
Answer:
Я знаю, что ты крут, и мне очень нравится твой pfp
Step-by-step explanation:
ANSWER ASAP PLEASE!!! I NEED HELP!!!
Answers
Answer:
2 cm
Step-by-step explanation:
Answer:
the answer is 2cm
Step-by-step explanation:
A jeweler has 36 inches of sliver chain. She needs 5 times that much to make some necklaces. How much sliver chain does the jeweler need to make her necklaces?
Answers
Answer:
180 inches
Step-by-step explanation:
36x5= 180
Answer:
if she already has 36 inches and we are tying to find how much she need we need to take that 5 and multiple it to the 36 because the word TIMES means to multiple so 36x5= 180. so your answer will be she will need 180 in (since that is the measurement we are using)
Step-by-step explanation:
3n to the 2nd power+2
Answers
Answer:
11n
Step-by-step explanation:
We don't know the value of N, so we leave that the same.
3 to the second power, (3x3)= 9.
We have to add 2 to 9, so 9+2=11
Add your n to the end, and your answer is 11n.
given f(x)=-x+2 find f(-1)
Answers
Answer:
f(-1)=3
Step-by-step explanation:
plug in -1 for x
-(-1)+2
negative and negative make a positive 1+2=3
ill mark brainliest help !!!!
Answers
49.65 lbs
the pic is blurry so i hope i added right, but i believe all you had to do was add it all together
what is 32.4 x 1,000
Answers
Which dialogue style would you see in a drama? “Where do you want to go shopping?” asked Kate. Aiden said, “Let’s go to a movie.” Javier: I can’t do my homework. I have a terrible headache
Answers
(C.) Javier: I can’t do my homework. I have a terrible headache.
i really need help on 2 !!
Answers
Answer:
x=2
y=-1
z=3
Step-by-step explanation:
X = 7+2y-z
3(7+2y-z)+y-z=2
21+6y-3z+y-z=2
21+7y-4z=2
7y-4z=-19 (subtract both side by 21)
2(7+2y-z)+3y+2z=7
14+4y-2z+3y+2z=7
14+7y=7
7y=-7 (subtract both side by 14)
y=-1 (divide both side by 7)
{7y-4z=-19
{y=-1
7.-1 - 4z=-19
-7-4z=-19
-4z=-12
Z=3
x=7+2y-z (y=-1 z=3)
x=7+2.-1 - 3
x=7-2-3
x=2
Identify the y-intercept of the function y = -4x + 2.
Answers
Answer:
It's supposed to be y=2
y is the dependent variable = -4 is slope and x is independent plus 2 which is y intercept
What is the fully factored form of 32a3 + 12a2? 4a2(8a + 3) 4a(8a2 + 3a) 12a2(3a + 1) 12a(3a2 + a)
Answers
Answer:
4a^2 (8a+3)
Step-by-step explanation: it’s right
Answer:
A.
Step-by-step explanation:
edg 2021
can someone help me with this please !!
Answers
Hence CD = 19
Is - 3 a solution of - 3x=9?
Answers
Answer:
Yes
Step-by-step explanation:
-3(-3) = 9
Product of two negatives is positive
Answer:
yes, -3 is a solution of -3x = 9
Step-by-step explanation:
substitute -3 for x in the equation
-3x = 9
-3*-3 = 9
9 = 9
since 9 does in fact equal 9, the answer is yes!
So the distance of a aircraft flies a proportional relationship whith its number of hours inflight. The table shows the number of miles flown for a number of hours in flight. Find the constant of proportionality. How long will the jet take to travel 5,880.
Answers
Answer:
The constant of proportionality is 490
The jet will take 12 hours to travel 5,880 miles
Step-by-step explanation: The miles multiply by 490 each time.
490 x 12 is 5,880
The constant of proportionality is k = 490 and the equation is y = 490x where x is the number of hours and y is the total number of miles
The time required is 12 hours
What is Proportion?
The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the distance of the aircraft be = x
Let the total time taken by the aircraft be = y
Let the constant of proportionality be k
when x = 1 ,
y = 490
So , the equation will be y = kx
Substituting the values in the equation , we get
y = 490x
when x = 2
y = 490 ( 2 )
y = 980
Now , the time taken by aircraft to travel 5,880 miles is
Substitute the value of y as 5880 in the equation , we get
5880 = 490x
Divide by 490 on both sides of the equation , we get
x = 5880 / 490
x = 12
Therefore , the time taken is 12 hours
Hence , the constant of proportionality is 490
To learn more about proportion click :
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