Answer:
a. quadratic.
The given polynomial p(x)=4x−2x²+3 is a quadratic polynomial. The correct option is A.
What is a polynomial?A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.
In algebra, a polynomial function with one or more variables in which the highest-degree term is of the second degree is known as a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic.
In the given polynomial p(x)=4x−2x²+3 it can be observed that the degree of the polynomial is 2 or the highest power of the variable is 2.
Therefore, the given polynomial p(x)=4x−2x²+3 is a quadratic polynomial. The correct option is A.
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La probabilidad de que el estudiante A apruebe un examen de MM-100 es 0.6, la probabilidad de que apruebe un estudiante B es 0.4 y la probabilidad de que ambos estudiantes aprueben es 0.3. ¿Cual es la probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.?
Answer:
0.5 = 50% probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.
Step-by-step explanation:
La probabilidad condicional :
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
En el cual:
P(B|A) es la probabilidad de que ocurra el evento B, dado que A sucedió.
[tex]P(A \cap B)[/tex] es la probabilidad de que ocurran tanto A como B.
P(A) es la probabilidad de que ocurra A.
En esta pregunta :
Evento A: Estudiante A aprueba.
Evento B: Estudiante B aprueba.
La probabilidad de que el estudiante A apruebe un examen de MM-100 es 0.6
Entonces [tex]P(A) = 0.6[/tex]
La probabilidad de que ambos estudiantes aprueben es 0.3
Entonces [tex]P(A \cap B) = 0.3[/tex]
¿Cual es la probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3}{0.6} = 0.5[/tex]
0.5 = 50% probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.
Show that 1.272727... = 1.27 can be expressed in the form , where p and q are integers and q not equal to 0.
Answer:
Hello,
Step-by-step explanation:
[tex]1.272727....=1.\overline{27}\\\\=1+\dfrac{27}{99} \\\\=1+\dfrac{3}{11} \\\\=\dfrac{11+3}{11} \\\\=\dfrac{14}{11} \\[/tex]
One other way:
Let say x=1.272727...
100x=127.272727...
x=1.272727...
99x=126
x=126/99
x=14/11
3x (x - 2) = x^2 - 4
Answer:
x = 1, x = 2
Step-by-step explanation:
Given
3x(x - 2) = x² - 4 ← distribute parenthesis on left side
3x² - 6x = x² - 4 ( subtract x² - 4 from both sides )
2x² - 6x + 4 = 0 ( divide through by 2
x² - 3x + 2 = 0 ← in standard form
Consider the factors of the constant term (+ 2) which sum to give the coefficient of the x- term (- 3)
The factors are - 1 and - 2 , since
- 1 × - 2 = + 2 and - 1 - 2 = - 3 , then
(x - 1)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x - 2 = 0 ⇒ x = 2
3. Create and write a real-world situation that could be represented by the equation below:
5x + 15 = 45
Answer:
You ordered 5 tickets for a show on line...
The cost was $5 a ticket Plus a one time ordering fee of $15.
you total cost was $45 ....
Solving for x will determine the cost of one ticket
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
a taxi charges $5 a mile plus $15 "pull fee" ...
you ride cost a total of $45 ... x is the number of miles that you got driven
Step-by-step explanation:
You rent a car for a down payment of $15 and $5 is charged per mile driven. The total charge is therefore, $45. In essence, x is the no. of miles driven.
According to the question;
We are required to create a real-world problem that could be represented by the equation; 5x + 15 = 45.In essence, x is the no. of miles driven in this scenario.
By solving for x in 5x + 15 = 45, we may determine the no. of miles driven.
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(
−
2
,
2
)
(−2,2) under a translation is
(
−
3
,
5
)
(−3,5). Find the coordinates of the image of the point
(
−
3
,
1
)
(−3,1) under the same translation.
Answer:
kslskd बोडलालामसूनिविवल
- 100
-V4
L.A.1
ints
3. What is the simplest form of
a. -51
b. 25i
c. -251
d. 5i
Answer:
- 5i
Step-by-step explanation:
sqrt(-100) / -sqrt(4)
We know that sqrt(a) / sqrt(b) = sqrt(a/b)
- sqrt(-100/4)
- sqrt(-25)
We know that sqrt(ab) = sqrt(a) sqrt(b)
- sqrt(25) sqrt(-1)
We know sqrt(-1) = i
Taking the principle value of sqrt(25)
- 5i
what is the predecessor of -36
Answer:
-35
Step-by-step explanation
A predecessor is something that came before the current version, and -36 is negative so before -36 is -35
Answer:
the correct answer is -34
Step-by-step explanation:
A predecessor is something that came before the current version.
hope it helps you
-2x + 8 = -26
plz help!!!!!!!!!!!!!
Answer:
x = 17
Step-by-step explanation:
-2x + 8 = -26
Subtract 8 from each side
-2x + 8-8 = -26-8
-2x = -34
Divide each side by -2
-2x/-2 = -34/-2
x = 17
Answer:
The answer is x=17
Step-by-step explanation:
−2x+8−8=−26−8
−2x=−34
−2x /−2 = −34 /−2
x=17
show that the the product of the first two numbers 28,48 of that stem is equal to the product of their LCM and HCF
Answer:
HCF is 4
LCM is 336
Step-by-step explanation:
2/28 , 48
2/14 , 24
2/7 , 12
2/7 , 6
3/7 , 3
7/7 , 1
1 , 1
HCF is 2 × 2 =4
LCM is 2 × 2 × 2 × 2 × 3 × 7 = 336
Find the area of the following composite figure. Assume angles that look like they are a right angle are
right angles.
14 in
14 in
Q
Leave your answer in terms of . For example your answer might to 98 + 107.
square inches
NOTE: Figures are NOT to scale.
Answer:
7π + 7π + 196 ( could also be 14π + 196)
Step-by-step explanation:
14 is the length of the square. However it is also the diameter of the circle.
If you do diameter x π you will get the circumfrance. Which in this case is 14π. If your trying to find half of the circumfrance you would do 14π ÷ 2 which is 7π.
After finding 7π for one half a circle you do the same for the other and also get 7π
After finding the 2 half circles find the square which is 14 x 14 = 196
196 + 7π + 7π if you don't want bother pi's there it could also be seen as 196+ 14 π
for what value of x does 4^x=(1/8)^x+5?
Use main properties of powers
(a^m)^n=a^{m\cdot n};(am)n=am⋅n;
\dfrac{1}{a^n}=a^{-n}an1=a−n
to simplify given equation.
1.
4^x=(2^2)^x=2^{2x}.4x=(22)x=22x.
2.
\left(\dfrac{1}{8}\right)^{x+5}=\left(\dfrac{1}{2^3}\right)^{x+5}=(2^{-3})^{x+5}=2^{-3x-15}.(81)x+5=(231)x+5=(2−3)x+5=2−3x−15.
3. Then the equation is
2^{2x}=2^{-3x-15}.22x=2−3x−15.
The bases are the same, so equate the powers:
2x=-3x-15,
2x+3x=-15,
5x=-15,
x=-3.
Answer: for x=-3.
Art class has 444 tables. There are 999 pencils at each table.
Ava multiplied 4\times94×94, times, 9 to find the total number of pencils.
Finn multiplied 9\times49×49, times, 4 to find the total number of pencils.
Who is correct?
Choose 1 answer:
Answer:
Both Ava and Finn are correct
Step-by-step explanation:
There are 4 tables and 9 pencils at each table
4 ( 9) = 36
9 * 4 = 36
Both Ava and Finn are correct
From the Rule y = -4x+1 fill in the following table
Answer:
y: 1, -3, -7, -11, -15
Step-by-step explanation:
Substitute the value of x in the chart for the formula given:
y = -4x + 1
For the first column in the x-row, do the following
y = -4(0) + 1
y = 1
And...
y = -4(1) + 1
y = -3
And so on.
I need help to find Y =
Answer:
3
Step-by-step explanation:
A man was traveling by air is allowed a maximum of 20kg luggages .The man has four bags weighing 3.5kg ,15 kg ,2kg and 1.5kg .Find excess weight of his luggage. 2 . Express the excess weight as a percentage of his maximum weight allowed.
Answer:
See explanation
Step-by-step explanation:
Maximum weight = 20 kg
Bag 1 = 3.5kg
Bag 2 = 15 kg
Bag 3 = 2kg
Bag 4 = 1.5kg
Total weight of bags = 22 kg
Excess weight of his luggage = Total weight of bags - Maximum weight
= 22 kg - 20 kg
= 2 kg
Express the excess weight as a percentage of his maximum weight allowed = excess weight / maximum weight × 100
= 2/20 × 100
= 0.1 × 100
= 10%
Express the excess weight as a percentage of his maximum weight allowed = 10%
Hey guys ♡
hw r u all doin
pls solve this question for me ⤵️
(m-1)/2 - (m-2)/3 = ( m - 4 )/7
Answer:
m = - 31
Step-by-step explanation:
Given
[tex]\frac{m-1}{2}[/tex] - [tex]\frac{m-2}{3}[/tex] = [tex]\frac{m-4}{7}[/tex]
Multiply through by 42 , the LCM of 2, 3 and 7 , to clear the fractions
21(m - 1) - 14(m - 2) = 6(m - 4) ← distribute parenthesis
21m - 21 - 14m + 28 = 6m - 24
7m + 7 = 6m - 24 ( subtract 6m from both sides )
m + 7 = - 24 ( subtract 7 from both sides )
m = - 31
A hemispherical tank is filled with water and has a diameter of 16 feet. If water weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank, to the nearest pound?
Answer: 133,827 lb/ft^3
Step-by-step explanation:
V = (4/3) (3.14)(8^3) = 133,827
Kevin says that lines p and m will eventually intersect. Lines A and B intersect. Plane A contains lines p, m, and n. Line n is horizontal on the plane. Lines p and m are both going in the same direction and are identical. Plane B contains vertical line l which forms a right angle with line n. Is Kevin correct?
Answer:
No, because they are parallel.
Step-by-step explanation:
The lines [tex]p[/tex] and [tex]m[/tex] will not intersect, so Kevin is not correct.
It is given that planes A and B intersects. The plane A contains the line p, m and n on its plane. The lines p and m are parallel to each other. They are identical and move in the same direction.
Since the line p and m are parallel, they will not meet each other at any point because parallel lines does not intersect or meet at a point, they run parallelly along each other.
So, line p and m will not intersect.
Thus the answer is " No, because they are parallel."
Answer:
Step-by-step explanation:
no, because they are parrallel.
(100 PTS!!) Match the following vocabulary
Answer:
Step-by-step explanation:
1. arc length
2. semicircle
3. minor arc
4. arc measure
5. circumference
6. radius
7. diameter
HOPE THIS HELPS
Answer:arc length
2. semicircle
3. minor arc
4. arc measure
5. circumference
6. radius
7. diameter
Step-by-step explanation:
Can u help solve this
Answer:
2
Step-by-step explanation:
slope = rise/run
rise = difference in y
run = difference in x
slope = (8 - 2)/(3 - 0)
slope = 6/3
slope = 2
What is the domain of the function shown in the table?
X
-2
-1
0
1
y
0
1
2
3
A. (-2,-1,0,1,2,3)
B. {-2, -1,0,1)
C. {0, 1, 2, 3)
D. (-2, 0),(-1,1),(0, 2), (1,3)
Answer:
{ -2,-1,0,1}
Step-by-step explanation:
The domain are the values for the input
Domain { -2,-1,0,1}
— 12 — бр – (-2)
HELP ASAP
Answer:
-10 - 6p
Step-by-step explanation:
-12 - 6р - (-2)
~Combine like terms
-10 - 6p
Best of Luck!
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{-12 - 6p - (-2)}\\\\\huge\text{COMBINE the LIKE TERMS}\\\huge\textsf{\underline{\underline{-12 - (-2)}} + \underline{\underline{\underline{(-6p)}}}}\\\\\\\huge\text{\underline{\underline{-12 - (-2)}}}\\\huge\textsf{= -12 + 2}\\\huge\textsf{= \bf -10}\\\\\\\huge\textsf{-6p \text{does not have any like terms so it}}\\\huge\textsf{stays the same}\\\\\\\huge\textsf{= \bf -6p - 10}\\\\\boxed{\boxed{\huge\text{Answer: \bf -6p - 10}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\boxed{\huge\boxed{\frak{Amphitrite1040:)}}}[/tex]
HURRY PLEASE
1 To join the school swim team, swimmers must be able to swim at least 500 yards without stopping. Let n represent the number of yards a swimmer can swim without stopping. Write an inequality describing which values of n will result in a swimmer making the team.
Answer:
n = ≥500
Step-by-step explanation:
They must be able to swim 500 yards or more.
Geometry, please answer question ASAP
Answer:
A
Step-by-step explanation:
The inscribed angle IJK is half the measure of its intercepted arc, so
arc IK = 2 × 75° = 150°
The 3 arcs sum to 360° , then
arc IJ = 360° - (150 + 110)° = 360° - 260° = 100° → A
13 = 2m + 5
whats m?
Answer:
M is 4
Step-by-step explanation:
in order to solve, 13=2m+5, you need to subtract 5 from both sides.
13=2m+5
-5 -5
Which is,
8=2m, then you divide both sides by 2. That gives you, 4=m. Therefor, m is 4.
In the diagram, what is the measure of angle 1 to the nearest degree?
33 degrees
55 degrees
75 degrees
105 degrees
Answer:
75 degrees
Step-by-step explanation:
From the first part of the diagram,
vertically opposite angles are equal,
hence we have
125° + (4x-5)° + 125° + (4x-5)° = 360°
(Angles about a point equals 360°)
4x – 5 + 4x – 5 + 125 + 125 = 360
8x + 250 – 10 = 360
8x = 360–250 + 10
8x = 120
x = 15°
Now we have (5x)° in the second part.
5x = 5 × 15 = 75°
1 is vertically opposite to angle 75°
hence it is equal to 75 degrees.
Answer:75
Step-by-step explanation:
= X
20
100
60
Please help me
Answer:
x = 100
Step-by-step explanation:
(100-40)/2
= 60/2
= 30
So it's 100
Answered by GAUTHMATH
CAN SOMEONE PLS TELL ME DOMAIN AND RANGE
Answers:
Domain is (-4, 3]Range is (-5, 5]=====================================================
Explanation:
The domain is the set of allowed x input values, aka the set of all allowed x coordinates of the points. We see that [tex]-4 < x \le 3[/tex]. It might help to draw vertical lines through the endpoints until you reach the x axis. Note the open hole at x = -4 to indicate we do not include this as part of the domain (hence the lack of "or equal to" for the first inequality sign).
The interval [tex]-4 < x \le 3[/tex] then can be condensed into the shorthand form (-4, 3] which is the domain in interval notation.
It says: x is between -4 and 3. It can't equal -4 but it can equal 3.
So the use of parenthesis versus square brackets tells the reader which endpoint is included or not.
--------------------------------------------------
The range describes all possible y outputs. We see that y = 5 is the largest it gets and y = -5 is the lower bound. It might help to draw horizontal lines through the endpoints until you reach the y axis. The open hole means -5 is not part of the range.
The range as a compound inequality is [tex]-5 < y \le 5[/tex]. This condenses into the shorthand of (-5, 5] which is the range in interval notation.
Verbally, the range is the set of y values such that y is between -5 and 5. It can't equal -5 but it can equal 5.
Answer:
Hello,
Step-by-step explanation:
Domain(f)= ]-4;3]={x€R | -4<x≤3}
Rang(f)=]-5;5]={y€R | -5< y ≤5}
can uh help me in this
Answer:
Step-by-step explanation:
b) a² - 1 + b(b - 2a) = a² -1 + b*b - b*2a {distributive property}
=a² - 1 + b² - 2ab
= (a² - 2ab + b² ) - 1
= (a - b)² - 1² {use identity x²-y²= (x+ y)(x -y)}
= (a - b + 1)(a -b +1)
b) 15 +8y + y² - 2x - x² = (y² + 8y + 15) - x² - 2x
= (y² + 5y + 3y + 15) - x(x + 2)
= [ y(y + 5) + 3(y +5)] - x(x + 2)
= [(y + 5)(y+3) ] - x(x +2)
Consider the reflection of parallelogram PQRS across the line of reflection wy
Answer:
Consider the reflection of the parallelogram PQRS across the line of reflection wy if RR = 14 Then RZ= If SX=5 then = 5
Step-by-step explanation: