Option B is correct, the function f(x) = -7x² - x + 2 represents a quadratic function
What is quadratic equation?A quadratic function is a polynomial function of the form f(x) = ax² + bx + c, where a, b, and c are constants and a is not equal to zero.
f(x) = -7x² - x + 2 is a quadratic function because it is of the required form.
Specifically, it has a quadratic term (-7x²), a linear term (-x), and a constant term (2).
The other three functions do not have a quadratic term and thus are not quadratic functions.
f(x) = 2x³ + 2x² - 4 is a cubic function because it has a cubic term (2x³).
f(x) = -3x + 2 is a linear function because it has only a linear term (-3x) and a constant term (2).
f(x) = 0x² + 3x - 3 is also a linear function because it has no quadratic term and only a linear term (3x) and a constant term (-3).
Hence, the function f(x) = -7x² - x + 2 represents a quadratic function
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Between every pair of distinct points, there is a positive unique number called the ??? , which can be determined as the ??? of the corresponding real numbers of the two points.
The positive number between every pair of distinct points is known as the distance and it can be found as the absolute value of the difference between the corresponding real numbers.
How is the distance found?The distance represents the space between a pair of distinct points. This is called the distance postulate.
In order to find the distance, you would need to solve for the absolute value of the difference between the real numbers that are at the two points.
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Answer:
The positive number between every pair of distinct points is known as the distance and it can be found as the absolute value of the difference between the corresponding real numbers.
Step-by-step explanation:
if a tv has a diagonal measurement of 55 and a height of 30, what is the tvs width? round to the nearest whole number
Answer:
46
Step-by-step explanation:
The geometry can be modeled by a right triangle. The diagonal measure is the hypotenuse, and the height is one leg. The width is the other leg, and can be found using the Pythagorean theorem.
__
Pythagorean theoremThe relation between the leg lengths (a, b) and the hypotenuse (c) is ...
c² = a² +b²
Solving for b gives ...
b = √(c² -a²)
applicationIn this problem, we have c=55 and a=30. Then the width of the TV is ...
b = √(55² -30²) = √(3025 -900) = √2125
b ≈ 46.098
The width of the TV is about 46.
Who got geometry regents answer key June 2022
Answer:
nobody yet
Step-by-step explanation:
Answer:
No one.
Step-by-step explanation:
The New York State Education Department has canceled the June 1, 2022, administration of the Regents Examination in U.S. History & Government (Framework). NYSED Commissioner Betty A.
We calculate the value of the hypotenuse of the right triangle whose legs measure 3 and 4cm respectively
Help please it's due today
[tex]{\huge \underline{{ \fbox \color{red}{A}}{\fbox \color{green}{n}}{\fbox \color{purple}{s}}{\fbox \color{brown}{w}}{\fbox \color{yellow}{e}}{\fbox \color{gray}{r } }}}[/tex]
Answer :- The result is 5cm
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{\bf \red {c {}^{2} = a {}^{2} + b {}^{2}} }[/tex]
[tex] \: \: \: \: \: \: \boxed{ \bf \green{c {}^{2} = (3cm) {}^{2} + (4cm) {}^{2}}}[/tex]
[tex] \: \: \: \: \: \: \: \: \boxed{ \bf \gray{c {}^{2} = 9cm {}^{2} + 16cm {}^{2} }}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{ \bf \blue {c {}^{2} = 25cm {}^{2} }}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{ \bf \green{\not{\sqrt {c {}^{ \not{2} }}} = \sqrt{25cm {}^{2} }}}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{ \bf \red{c = 5cm}}[/tex]
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \: hypotenuse = 5 \:\:cm [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex] \textsf{Pythagoras Theorem } [/tex]
[tex]\qquad \tt \rightarrow \: h {}^{2} = p {}^{2} + b {}^{2} [/tex]
[ h = hypotenuse, p = perpendicular and b = base ]
[tex]\qquad \tt \rightarrow \: {h}^{2} = {3}^{2} + {4}^{2} [/tex]
[tex]\qquad \tt \rightarrow \: {h}^{2} = 9 + 16[/tex]
[tex]\qquad \tt \rightarrow \: h {}^{2} = 25[/tex]
[tex]\qquad \tt \rightarrow \: h = \sqrt{25} [/tex]
[tex]\qquad \tt \rightarrow \: h = 5 \: \: cm[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Ax^2+bx+c=2(x-1)(2x+3)+(x^2-4x+2)
The quadratic form ax² + bx + c for the given set of factors is 5x² - 2x - 4.
How do we determine the quadratic equation (ax^2+bx+c) from a given set of factors?The quadratic equation that takes the form ax^2+bx+c can be determined from a given set of factors by applying the rule:
a + (b + c) = a + b + cLet us expand the eqaution: 2(x-1) (2x+3)
Ax^2+bx+c = 2(x-1) (2x+3) + x^2-4x+2So, we have:
2(x - 1)(2x + 3) ⇒ 4x² + 2x - 6.
= 4x² + 2x - 6 + x² - 4x + 2
Now, let us group like terms, we have:
= 4x² + x² + 2x - 4x - 6 + 2
= 5x² - 2x - 4
Therefore, we can conclude that the quadratic form ax² + bx + c for the given set of factors is 5x² - 2x - 4.
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If ANYONE ANSWERS I WILL GIVE THEM BRAINLIEST PLEASE HELP ME!!
If an investment account is leveraged by a ratio of 5:1, by how much would the value of the security invested need to drop before the value of the account falls to $0?
20%
50%
10%
5%
Answer:
From what my calculations said its 20%
A local baseball stadium has a total of 2,497 seats, with 210 seats reserved for season ticket holders.
If x represents the number of non-reserved seat tickets sold for the upcoming game, which of the following equations can be used to find the number of seats available for the upcoming game?
y = 2,497 - 210x
B.
y = 2,287 - 210x
C.
y = 2,287 - x
D.
y = 2,497 - x
Answer:
I believe d would be the answer.
Step-by-step explanation:
PLEASE HELP
A) 8
C) 1
B) 6
D) 7
What is the value of x?
Answer: 7
Step-by-step explanation:
As tangents drawn from a common external point to a circle are congruent,
8x - 7 = 6x + 72x - 7 = 7 [subtract 2x from both sides]2x = 14 [add 7 to both sides]x = 7 [divide both sides by 2]Answer:
Step-by-step explanation:
the amount of money sue needs to pay (m) equals $30 to go to an apple orchard and pick apples plus $5 for every bushel of apples (b) she takes home
the elegante is aborto 3
The sum of two numbers is 24
and their quotient is 3.
What are the two numbers?
Some identical cylinders each have a radius of
5 cm and a length of 4 cm.
Rufus has enough paint to cover 2500 cm².
How many of these cylinders can Rufus paint
completely?
Answer:
8 cylinders
Step-by-step explanation:
The surface area of a cylinder is given by the formula ...
A = 2πr(r +l) . . . . . for radius r and length l
__
The cylinders Rufus has each have an area of ...
A = 2π(5 cm)(5 cm +4 cm) = 90π cm² ≈ 282.74 cm²
That means 2500 cm² of paint will cover ...
2500 cm²/(282.74 cm²/cylinder) ≈ 8.84 cylinders
Rufus has enough paint to cover 8 cylinders completely.
classify the equation 9(a-4)+3(2a+5)=7(3a-4)-6a+7
Answer:
0 = 0 thats my answer
Step-by-step explanation:
help awdaWdawdadawdaWDaSwdaWDawdas
Answer:maybe c or d??
Step-by-step explanation:
10, 18 y 36 hallar el m.c.m por descomposición simultanea:
Considerando la definición de mínimo común múltiplo, el mínimo común múltiplo entre 10, 18 y 36 es 180.
Mínimo común múltiploUn número es múltiplo de otro cuando lo contiene n veces de forma exacta. Es decir, los múltiplos de un número son aquellos que obtienes cuando multiplicas un número por otros.
El mínimo común múltiplo (mcm) es la cifra más pequeña que satisface la condición de ser múltiplo de todos los elementos de un conjunto de números. En otras palabras, el mínimo común múltiplo (mcm) es el número positivo más pequeño que es múltiplo de dos o más números.
Una forma de calcular el mcm es descomponiendo los números en sus divisores (número que está contenido en otro de forma exacta una cantidad n de veces) y que estos sean números primos (que solo pueden dividirse entre ellos mismos y el 1 para obtener un número entero). Es decir, se debe descomponer en factores primos cada número.
Luego, se debe seleccionar los factores primos comunes y no comunes con mayor exponente para finalmente multiplicar los factores primos seleccionados.
M.C.M en este casoEn primer lugar, se descomponen los números:
10= 2×518=2×3×3= 2×3²36=2×2×3×3= 2²×3²Los factores primos comunes y no comunes con mayor exponente:
2²3²5Entonces, el mínimo común múltiplo entre 10, 18 y 36 es calculada como:
M.C.M(10,18,36)= 2²×3²×5= 2×2×3×3×5= 180
Finalmente, el mínimo común múltiplo entre 10, 18 y 36 es 180.
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Let f(x) = -5x^6√x + -7/x³√x. What would f’(x) be? If anyone could show me step-by-step, I would greatly appreciate it! I’ve worked out this problem 4 times already and I can’t seem to get the right answer.
Answer:
[tex]f^{\prime}\left(x\right)\ =\ -\frac{65}{2}x^{\frac{11}{2}}\ +\frac{49}{2}x^{-\frac{9}{2}}[/tex]
or
[tex]f^{\prime}\left(x\right)\ =\ -32.5x^{5.5}\ +\ 24.5x^{-4.5}[/tex]
Step-by-step explanation:
Rather than solving this question in a more complex method by directly using the product rule and quotient rule, it can first be considered to perform some algebraic manipulation (index laws) to simplify the expression before taking the derivative.
[tex]\begin{large}\begin{array}{l}f\left(x\right)\ =\ -5x^6\ \sqrt{x}\ +\ \frac{-7}{x^3\ \sqrt{x}}\\\\f\left(x\right)\ =\ -5x^6\cdot x^{\frac{1}{2}}\ +\ \frac{-7}{x^3\cdot x^{\frac{1}{2}}}\\\\f\left(x\right)\ =\ -5x^{6\ +\ \frac{1}{2}}\ +\ \frac{-7}{x^{3\ +\ \frac{1}{2}}}\\\\f\left(x\right)\ =\ -5x^{\frac{13}{2}}\ +\ \frac{-7}{x^{\frac{7}{2}}}\\\\f\left(x\right)\ =\ -5x^{\frac{13}{2}}\ -7x^{-\frac{7}{2}}\end{array}[/tex]
Now, the derivative of the function can be calculated simply by only using the power rule, which yields
[tex]\begin{large}\begin{array}{l}f\left(x\right)\ =\ -5x^{\frac{13}{2}}\ -7x^{-\frac{7}{2}}\\\\f^{\prime}\left(x\right)\ =\ \left(-5\right)\left(\frac{13}{2}\right)\left(x^{\frac{13}{2}\ -\ 1}\right)\ -\ \left(7\right)\left(-\frac{7}{2}\right)\left(x^{-\frac{7}{2}\ -\ 1}\right)\\\\f^{\prime}\left(x\right)\ =\ -\frac{65}{2}x^{\frac{11}{2}}\ +\frac{49}{2}x^{-\frac{9}{2}}\\\\f^{\prime}\left(x\right)\ =\ -32.5x^{5.5}\ +\ 24.5x^{-4.5}\end{array}\\\end{large}[/tex]
find the measures of angles of triangle DEF
Answer:
Angle E = 90° Angle D= 55° Angle F = 35°Sum of all the angles of a triangle = 180° ( angle sum property).
Angle D + Angle E + Angle F = 180°
8x - 1 + 5x + 90° = 180°
8x + 5x + 89 = 180
13x = 180 - 89
13x = 91
x = 7.
Angle D = 8x - 1
= 8(7)-1
= 56 - 1
= 55
Angle E = 90° ( given)
Angle F = 5x
= 5 * 7
= 35
Answer:
m∠E: 90°
m∠D: 55°
m∠F: 35°
Step-by-step explanation:
Since the interior angles of a right triangle sum up to 180°, the sum of angles D, E, F will equal 180°. We can then form an equation from that information.
[tex]90+(8x-1)+5x=180\\13x-1=90\\13x=91\\x=7[/tex]
From this, we can plug in the variable.
[tex]mE=90\\mD=55\\mF=35[/tex]
i needs a help please
Answer:
Step-by-step explanation:
Givens
x intercept =
(1,0) (5,0)The vertex is at 3, 4
The vertex is upside down.
Solution
(x - 1) and (x - 5) produce the two roots.
There must be 1 minus somewhere so that the quadratic goes upside down.
Answer
y = - (x -1)(x - 5)
Solve for x : 7x + 8 < 1/6 (42x+48)
X = all real number
X has no solution
X = 0
Answer:
[tex]\fbox {all real numbers}[/tex]
Step-by-step explanation:
7x + 8 = 1/6 (42x + 48)
7x + 8 = 7x + 8
x = all real numbers
How much is the difference in possible median income on a weekly basis between 4 years of high school with no diploma and high school graduate with no college for a female? A. $823 B. $364 C. $11,419 D. $95
Answer:
its $95 dollars
Step-by-step explanation:
which of the following statements is/are true
Using Venn probabilities, the correct statement is given by:
ii) [tex]|A \cup B| = |A| + |B| - |A cap B|[/tex]
What is a Venn probability?In a Venn probability, two non-independent events are related with each other, as are their probabilities.
The "or probability" is given by:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
Hence, statement ii is correct.
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A new building is formed by a square prism with a square pyramid on top. The base has an edge length of 60 feet, and the height of the prism is 150 feet. The height of the pyramid is one-sixth the height of the prism. What is the surface area of the exterior of the building rounded to the nearest hundred square feet?
The surface area of the exterior of the building rounded to the nearest hundred square feet is 40700 feet².
What is surface area ?Surface area is the amount of space covering the outside of a three-dimensional shape.
Given, base of prism = 60 feet, height of the prism h₁= 150 feet, and height of the pyramid h₂ = 1/6 (150)
= 25 feet.
The surface area of the exterior of the building = lateral surface area of prism + pyramid.
SA = ( 4ah₁ ) +(a√(a² + 4h₂²) )
SA = ( 4(60)150 ) + ( 60(√60² + 4(25)² )
= ( 240* 150 ) + 60(√3600 +2500 )
= 36000 + 60(√6100)
= 36000 + 60(78.1024)
= 36000 + 4686.15
= 40686.15
≈ 40700 feet².
Therefore, the surface area of the exterior of the building rounded to the nearest hundred square feet is 40700 feet².
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Answer:
The surface area of the exterior of the building is approximately 40700 feet
Can someone answer this question for me? Thanks!
Answer:
The costco basmati rice
Step-by-step explanation:
Under the label it is given that the bag is 18.14 kg
When converted to lbs= 18.14*2.2~39.91
39.91lbs>10lbs, so it has more quantity of rice: Costco Basmati
Answer:
The Costco bag is a better deal as each pound is $0.65 cheaper
Step-by-step explanation:
Let make the weight of each bag in a common unit
18.14kg = about 40 pounds (formula: multiply the mass value by 2.205)
Now find how much it cost per pound for each bag,
Costco: 49.99 / 40 = $1.25 per pound
Bulkmarket: 18.99 / 10 = $1.90 per pound
1.25 < 1.90
(x^4-13x^2+36)/(2x^2+10+12)
Answer:
Step-by-step explanation:
If the domain (or pre-image) is (-4, -2), (5, 9), (-6, 2) and the range (or image) is
(-2, 4), (9,-5), (2, 6), what rotation was applied?
Answer: 90 degrees clockwise
This is equivalent to 270 degrees counterclockwise
The rule for either rotation is [tex](x,y) \to (y,-x)[/tex]
The x and y coordinates swap places, and the new second coordinate flips from positive to negative (or vice versa).
The diagram below shows an example of this for the point (-4,-2) rotating to (-2, 4). The center of the rotation is the origin (0,0).
Find the value of this expression if x = -7.
x² +5
x+1
Enter the correct answer.
Which of the following terms best fits this definition?
The angle between two sides of a triangle.
Select one:
AAS Theorem
SAS Postulate
Included Side
ASA Postulate
HL Congruence Theorem
Included Angle
SSS Postulate
Step-by-step explanation:
hope you can understand
If a sample of 40 cars is selected, estimate the number of cars
traveling faster than 70 mph.
Answer:
20ish
Step-by-step explanation:
I would need more info abt the question to answer it more exactly
Answer:
Im pretty sure is is 20 or something like that
Step-by-step explanation:
To estimate the height of a totem pole, Jorge uses a small square of plastic. He holds the square up to his eyes and walks backward from the pole. He stops when the bottom of the pole lines up with the bottom edge of the square and the top of the pole lines up with the top edge of the square. Jorge's eye level is about 2 m from the ground. He is about 3 m from the pole. Which of the following is the best estimate of the height of the totem pole?
Answer:
6.5 meters
Step-by-step explanation:
What's the circumference of a
circle with a radius of 7 feet?
Use 3.14 for .
C = [?] feet
Enter the number that belongs in the green
box. Do not round your answer.
Hint: C = 2πr
Answer:
43.96ft
Step-by-step explanation:
In the hint, you are given the equation [tex]C = 2\pi r[/tex].
Here, [tex]C[/tex] is the circumference, [tex]r[/tex] is the radius, and [tex]\pi[/tex] is a constant (a value that doesn't change). In this question, you are told to assume the value of [tex]\pi[/tex] is 3.14.
You are told the radius is 7, therefore, [tex]r[/tex] = 7.
Now we have these values, let's substitute them into the equation:
[tex]C = 2 * 3.14 *7[/tex]
For clarification, the stars mean multiplication.
So, the product of those values will give us our circumference, [tex]C[/tex].
In this case, you get an answer of 43.96ft.
Help me with this I’m stuck!!:)
The cardinality of the set indicated in the task content is; 11.
What is the cardinality of the set?It follows from the task content that the cardinality of the intersection set of set A compliment and set B compliment is to be determined.
Hence, it follows that the elements in the described set include the elements in set C only and the elements in the compliment of set A, B and C union.
On this note, it follows that the cardinality of the set is; 4 +7 = 11.
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