Order these Quadratic Functions from the narrowest to widest listed as 1,2,3,4
Answers
Answer:
From narrowest to widest:
1) [tex]8\cdot x^{2} + 2\cdot x +5[/tex]
2) [tex]5\cdot x^{2}-1[/tex]
3) [tex]2\cdot x^{2}+4[/tex]
4) [tex]\frac{2}{5}\cdot x^{2}+3\cdot x -5[/tex]
Step-by-step explanation:
The "width" of the quadratic function is determined by the value of the coefficient associated by the monomial of highest grade, with respect to the primitive of the quadratic function, represented by [tex]y = x^{2}[/tex], whose ruling coefficient is 1. If the ruling coefficient of the quadratic function is greater than one, then the curve becomes narrower at the same time that the coefficient increases. Otherwise, if the ruling coefficient of the quadratic function is greater than zero and less than 1, then the curve becomes wider at the same time that the coefficient approximates to zero.
Based on this considerations, we proceed to list the quadratic functions from the narrowest to widest:
1) [tex]8\cdot x^{2} + 2\cdot x +5[/tex]
2) [tex]5\cdot x^{2}-1[/tex]
3) [tex]2\cdot x^{2}+4[/tex]
4) [tex]\frac{2}{5}\cdot x^{2}+3\cdot x -5[/tex]
Lastly, we include a graphic with all polynomials (tagged as 1, 2, 3, 4) in comparison primitive function (tagged as 0).
Related Questions
Police chases a driver. The police is 1 mile behind the driver. The speed of the police is 90 mph, and the speed of the chased car is 85 mph. How long will it take for the police to catch up with the car?
Answers
Answer:
0.20 hour
Step-by-step explanation:
According to the problem, computation of the given data are as follows,
Speed of police = 90 mph
Speed of chased car = 85 mph
Distance to be chased = 1 mile
So, we can calculate the time to catch by using following formula:
Time required = Distance between two cars ÷ (Speed of Car A - Speed of Car B)
= 1 ÷ ( 90 - 85)
= 1 ÷ 5
= 0.20 hour
hi what is 3 divided by 5 times 6
Answers
Answer:
[tex]3 \frac{3}{5}[/tex] or [tex]\frac{18}{5}[/tex]
in decimal form it is 3.6
Step-by-step explanation:
6(3/5) = 6/1 times 3/5
= 18/5 or 3 3/5
Answer:
3/5 * 6 = 3.6
Cindy decided to shop online. She was buying books ($6 each) and candles ($4 each). She bought 15 items and spent $78. How many books did she buy?
Answers
Answer:
9 books
Step-by-step explanation:
78=b(6)+c(4)
78=9(6)+6(4)
78=54+24
78=78-True
As per linear equation, Cindy bought 9 books online.
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.
The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant."
Given, Cindy was buying books ($6 each) and candles ($4 each).
She bought 15 items and spent $78.
Let, she bought 'x' books.
Therefore, she bought (15 - x) candles.
Now, the cost of the total 15 items is
= $[6x + 4(15 - x)]
= $[6x + 60 - 4x]
= $[2x + 60]
Therefore, 2x + 60 = 78
⇒ 2x = 78 - 60
⇒ 2x = 18
⇒ x = 9
Therefore, Cindy bought 9 books.
Learn more about a linear equations here: https://brainly.com/question/11897796
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Jared drew this rectangle. Then, he drew another rectangle that was twice as long but had the same width. In what way do the area and perimeter of Jared’s new rectangle change from the area and perimeter of the original rectangle?
Answers
Answer:
Step-by-step explanation:
one rectangle has the area, A₁=LxW and,
perimeter P₁=2L+2W
the second rectangle has the area A₂=2L x W,
and perimeter P₂=2(2L)x2W= 4Lx2W
the second area doubles compared to the first area
the perimeter gets increased with double the length
Isaiah has $7.15 in Dimes and Nickels. He has a total of 91 coins. How many of each coin does he have? Group of answer choices dimes: 31 nickels 60 dimes: 60 nickels: 31 dimes: 52 nickels: 39 dimes: 39 nickels: 52
Answers
Answer:
Dimes = x = 52
Nickels = y = 39
Step-by-step explanation:
Let
Dimes = x
Nickels = y
x + y = 91 (1)
0.10x + 0.05y = 7.15 (2)
From (1)
x = 91 - y
Substitute x = 91 - y into (2)
0.10x + 0.05y = 7.15
0.10(91 - y) + 0.05y = 7.15
9.10 - 0.10y + 0.05y = 7.15
- 0.10y + 0.05y = 7.15 - 9.10
-0.05y = -1.95
y = -1.95 / 0.05
= 39
Substitute y = 39 into (1)
x + y = 91
x + 39 = 91
x = 91 - 39
x = 52
Dimes = x = 52
Nickels = y = 39
Find the slope of the line that passes through the two points below."
(7,-1) and (9,0)
Answers
Answer:
1/2 or 0.5 (same value, different form)
Step-by-step explanation:
Ok...since I can't actually graph it, we can make a table out of it....
x y
7 -1
9 0
From -1 to 0, we add 1 (this is for the y section)
From 7 to 9, we add 2 (this is for the x section)
Now all we have to do is divide the y with the x
y/x = 1/2
The slope will be 1/2 (fraction form) 0.5 (decimal form)
Hope this helped!
-6=b8 one and two step problems
Answers
Answer:
b = -3/4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
-6 = b8
Step 2: Solve for b
Rewrite: -6 = 8bDivide 8 on both sides: -6/8 = bRewrite: b = -6/8[Fraction] Simplify: b = -3/4Step 3: Check
Plug in b into the original equation to verify it's a solution.
Substitute in b: -6 = (-3/4)8Multiply: -6 = -24/4Divide: -6 = -6Here we see that -6 does indeed equal -6.
∴ b = -3/4 is the solution to the equation.
Enter a negative number that has an absolute value greater than -10.
Answers
Answer:
A number that has a greater absolute value then -10 is -15
Step-by-step explanation:
the absolute value basically means to make the negative number a positive.
Find function inverse of f? F(x)=x+2/7
Answers
Answer:
f’(x) = x -2/7
Step-by-step explanation:
Let f(x)= y
Thus;
y = x + 2/7
x = y-2/7
So the inverse f’(x) = x - 2/7
Pls HELPPP, BRAINLIEST for best and right answer
Answers
Answer:
i think the answer is 5
Step-by-step explanation:
15 Points + Brainliest to first correct answer. Give an explanation. Fake answers will be reported and deleted. Thank you so much!
Which expression could be modeled using the diagram?
(Look Below)
A) 4 divided by 1/5
B) 4 divided by 4/5
C) 4/5 divided by 1/5
D) 1/5 divided by 4/5
Answers
Answer:
Im pretty sure its 4 divided by (4/5 wrong)
Step-by-step explanation:
Answer:
4/5 ÷ 1.5 (C)
Step-by-step explanation:
4 sections out of 5 are shaded, this represents 4/5
1 section not shaded represents 1/5
4/5 ÷ 1/5 is the same as 4/5 · 5/1 which equals 4 (the amount shaded)
I need help pls is is correct?
Answers
What is the following product?
31/7 (5-56-78
O 30.12-215
O 60 7-21 V5
O 30./3-21.6
O 60/3-21.6
Answers
Answer:
30.12-215
Step-by-step explanation:
We get the value 22.14 - 593.42 for the given expression 31/7(5-56-78)
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 31/7(5-56-78)
Thirty one divided by seven times of five minus fifty six minus seventy eight
31/7(5-56-78)
31/7(5-134)
Thirty one by seven times of five minus one hundred thirty four.
31/7(5)-31/7(134)
155/7-4154/7
22.14 - 593.42
Hence, we get the expression 22.14 - 593.42 for the given expression 31/7(5-56-78)
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Find the value of x in the figure below.
Answers
Answer:
x=45
Step-by-step explanation:
You should follow the formula:
3x+3x+x+x=360
8x=360
x=45
im begging please please help me
Answers
For the month he needs 5classes*10dollars= 50dollars
50dollars from classes +salary per month which is 50dollars=100dollars
Here is a linear equation: y = 10+ 1. Are (1,1.5) and (12, 4) solutions to the equation? Select the correct choice.
Answers
Answer:
[see below]
Step-by-step explanation:
Assuming that the equation is y = 10x + 1
(12, 4)
4 = 10(12) + 1
4 = 120 + 1
4 ≠ 121
(12, 4) is not a solution.
(1, 1.5)
1.5 = 10(1) + 1
1.5 = 10 + 1
1.5 ≠ 1
They are not solutions to the equation.
Hope this helps.
Answer:
bath
Step-by-step explanation:
anyone else going through a hard time right now and if so why
Answers
Answer:
my school is starting from this tuesday,but i cant understand online classes. i really want physical class to start but it is not safe :(
Three ballet dancers are positioned on stage. Jada is 2 meters straight behind Trisha and 4 meters directly left of Ken. When the music begins, Jada twirls to Ken's position, then leaps to Trisha's position, and finally walks back to her original position. How far did Jada travel? If necessary, round to the nearest tenth.
Answers
Answer:
10.5 meters
Step-by-step explanation:
in their starting position all three dancers form a right triangle with legs equal to 2m and 4m.
Jada to Ken = 4m
From Ken's position to Trisha's, Jada goes another 2[tex]\sqrt{5}[/tex]m*
From Trisha's position to her original position, Jada goes another 2m
* to get this value: 2² + 4² = x²
x² = √20 = 2√5
Find 32%of 425
I will give points and Mark as brainlist
Answers
Answer:
answerrrrrrrrrrrrrrrrrrr is 136
Answer:
136
Step-by-step explanation:
its basically easy if you can get it ill help you if you need anything else just post ill help you out have a nice day.
A ladder 50 dm long when set against the wall of a house just reaches a window at a height of 48 dm. How far is the lower end of the ladder from the base of the wall?
Answers
Answer:
14dm
Step-by-step explanation:
To solve this question we can use the Pythogorean theorem
a^2 + b^2 = c^2
In this case, The ladder is the hypotenuse, the height is one of the leg of the right angle triangle
Let's keep the missing side as x
If we apply the theorem,
x^2 + 48^2 = 50^2
x^2 + 2304 = 2500
x^2 = 2500 - 2304
x^2 = 196
[tex]x = \sqrt{196} \\ x = 14[/tex]
Please just help with all of this
Answers
Y=4
2)-5(6)+8
-30+8= -22
3)-7+5=-2
4)3(3)-5=4
5)3(4)=81
6)-3-4=-7
There are 10 meatball in the pan. Joey ate one-fifth of the meatball for lunch. He ate 1/2 for dinner. What fraction of the meatball did he eat in all?
Answers
(1) In a class of 50 students, 20% have black hair, 10% have blonde hair, and 70% has brown hair, calculate the number of students with the following hair colour;
(a) black hair
(b) blonde hair
(c) brown hair,
Answers
(50 / 10) x 1 = 5 students have blonde hair
(50 / 10) x 7 = 35 students have brown hair
Answer:
10,5,35
Step-by-step explanation:
20% of 50=
0.2 x 50=
10
so 10 students have black hair
10% of 50=
0.1 x 50=
5
so 5 students have blonde hair
70% of 50=
0.7 x 50=
35
so 35 students have brown hair
Find the indicated real nth root(s) of a.
n=4, a = 81
What are the 2 roots
Answers
Answer:
First one is 3 and I got no idea what the second one is.
Answer: 3, -3 (Don't mind this part, I am just taking up letter characters)
The price of a pair of jeans was reduced from $20 to $15. By what
percentage was the price of the jeans reduced? *
Answers
Explanation:
1. Turn it into a fraction (15/20)
2. Divide the numerator (15) by the denominator (20). (15÷20=0.75)
3. Subtract 0.75 from 1 (1-0.75=0.25)
4. Turn 0.25 into a percentage by taking away the “0.” and adding a “%” at the end (25%)
Identify the solution of each equation from the list given.
1. b + 8 = 14; 4, 5,6
2. 25- t = 15; 9, 10, 11
I need answers for both please I’ll give 50 points!!
Answers
Answer:
1.) The answer is b = 6
2.) The answer is t = 10
Step-by-step explanation:
For the first equation in order to fin out the answer we do.....
b + 8 = 14
b + 8 - 8 = 14 - 8
b = 6
For the second question we do....
25 - t = 15
25 - t + t = 15 + t
25 = 15 + t
25 - 15 = 15 + t -15
10 = t
Nine less than 2/3 of a number is 11
Answers
Answer:
30
Step-by-step explanation:
let 'n' = a number
[tex]\frac{2n}{3}[/tex] - 9 = 11
2n = 20
3
cross-multiply: 2n = 60
n = 30
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it int
correct position in the answer box. Release your mouse button when the item is place. If you change your mind,
the item to the trashcan. Click the trashcan to clear all your answers.
Solve the following problem for the roots by using the quadratic formula.
2(6 - x) = x(x + 5)
Answers
Answer:
The roots are [tex]x=\dfrac{-7+ \sqrt{97}}{2}\text{ and }x=\dfrac{-7- \sqrt{97}}{2}[/tex].
Step-by-step explanation:
Consider the provided equation.
[tex]2(6 - x) = x(x + 5)[/tex]
Remove the parenthesis and simplify.
[tex]12-2 x= x^2 + 5x[/tex]
[tex]x^2+7x-12=0[/tex]
Now use the quadratic formula [tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex].
Susbtitute a=1, b=7 and c=-12 in above formula.
[tex]x=\dfrac{-7\pm \sqrt{7^2-4(1)(-12)}}{2(1)}[/tex]
[tex]x=\dfrac{-7\pm \sqrt{49+48}}{2}[/tex]
[tex]x=\dfrac{-7\pm \sqrt{97}}{2}[/tex]
Hence, the roots are [tex]x=\dfrac{-7+ \sqrt{97}}{2}\text{ and }x=\dfrac{-7- \sqrt{97}}{2}[/tex].
Red Street has a slope of ¼ and goes through the point (0, 5)
Write out this equation as y = mx + b
Answers
Answer:
y = 1/4x + 5
Step-by-step explanation:
Answer:
y = 1/4x + 5
Step-by-step explanation:
We need to write the equation in slope-intercept form [ y = mx + b ] where m = slope and b = y-intercept. We are given a slope of 1.4 and y-intercept of 5, so fill it into the formula.
y = 1/4x + 5
Best of Luck!
A pie is made using 2 cups of sugar for every 3 cups of flour. Max knows he needs 15 cups of flour to make enough pies. How many cups of sugar does he need?
Answers
Answer: 10 cups of sugar
Step-by-step explanation:
Cups of sugar : Cups of flour
2 : 3
? : 15
Cross multiply
3? = 15 × 2
3? = 30
Divide both sides by 3
? = 10
He needs 10 cups of sugar.