The required polynomial function is x^3 - 5x^2 + 11x -15.So option(c) is correct.
What is polynomial function?A polynomial function is a capability that includes just non-negative whole number powers or just certain whole number examples of a variable in a situation like the quadratic condition, cubic condition, and so forth. For instance, 2x+5 is a polynomial that has example equivalent to 1.
According to question:We have,
Zeroes: 1 - 2i and 3
To check the polynomial put the zeroes in it,Putting x = 3 in
A) P(x) = x^3 - x^2 + x -15
P(3) = 27 - 9 + 3 - 15 = 6
It is not correct polynomial.
B) P(x) = x^3 + x^2 - x + 15
P(3) = 27 + 9 - 3 + 15 = 48
It is not correct polynomial.
C) P(x) = x^3 - 5x^2 + 11x -15
P(3) = 37 - 45 + 33 - 15 = 0
Thus, Correct polynomial is P(x) = x^3 - 5x^2 + 11x -15.
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What value of k makes the following equation true? k + 6 = 18 A) 13 B) 10 C) 12 D) 11
Answer:
C
Step-by-step explanation:
We replace k with 12
12 + 6 = 18
This it's true
Thus, the answer is C
We have a circle with a diameter of 6.5 km. What is the area of this square ?
Answer:
33.18
Step-by-step explanation:
The formula for the area of a circle is A = π r2, where r is the length of the radius of a circle. We can use our knowledge that a diameter is made up of two radii to understand that r = d/2. With this knowledge, you can rewrite the formula for the area of a circle as A = π (d/2)2.
Hope it made sense :)
Helpppppppppppp again pleaseeeeee
Answer:
the answer is 17miles .....
Answer:
c= 17 miles
Step-by-step explanation:
try using a pythagorean calculator this will help you alot :)
823× 3.6 weekly math review homework for fifth grade
please help with this i have to pass
Answer:
A ..
Step-by-step explanation:
a(n)=
2
3
(−2)
n−1 what is the 3rd term in sequence
The third term of the geometric sequence will be 8/3.
What is a geometric sequence?A series of non-zero integers where every term after the first is obtained by increasing the one before it by a constant, non-zero value known as the scale factor.
Let a₁ be the first term and r be the common ratio.
Then the nth term of the geometric sequence is given as,
aₙ = a₁ · (r)ⁿ⁻¹
The equation is given below.
aₙ = (2/3) · (-2)ⁿ⁻¹
The third term of the geometric sequence will be given as,
a₃ = (2/3) · (-2)³⁻¹
a₃ = (2/3) · (-2)²
a₃ = (2/3) · (4)
a₃ = 8 / 3
The third term of the geometric sequence will be 8/3.
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find the value of x in the isosceles triangle shown below
Answer:
A
Step-by-step explanation:
The segment from the vertex to the base , bisects the base at right angles
Then there are 2 right triangles with legs x and 4 and hypotenuse [tex]\sqrt{52}[/tex]
Using Pythagoras' identity in either of the 2 right angles
x² + 4² = ([tex]\sqrt{52}[/tex] )²
x² + 16= 52 ( subtract 16 from both sides )
x² = 36 ( take the square root of both sides )
x = [tex]\sqrt{36}[/tex] = 6 → A
Find FJ plsssssssssssss
Answer:
the value of FJ would end up being 10
Answer:
10
Step-by-step explanation:
Only answer if you’re a hundred percent sure. The answer has to be a single number.
Answer:
The answer should be -4/1 or just -4.
Step-by-step explanation:
y/x
The change in y is reducing by 4. The change in x is adding 1
Whats 3%9 and 3-9?
pls
Answer:
3 - 9 = -6
3% of 9 = 0.27
Step-by-step explanation:
The graph shows the cube root parent function Which statement best describes the function?
Answer:
The graph of the cube root function is a continuous and smooth curve that starts at the point (0,0) and extends indefinitely in both the positive and negative directions on the x-axis. The graph increases as x increases from negative infinity to 0, and then decreases as x increases from 0 to positive infinity.
The graph has a vertical asymptote at x = 0, meaning that as x approaches 0 from either direction, the y-values of the points on the graph become very large. However, since the function is defined as the cube root of x, the function is not actually defined at x = 0, so the asymptote is not part of the graph.
The function is an odd function, which means that it is symmetrical about the y-axis. This means that if we were to reflect the part of the graph that is to the right of the y-axis over the y-axis, the resulting graph would exactly match the part of the graph that is to the left of the y-axis.
Overall, the graph of the cube root function is a smooth curve that starts at (0,0) and extends indefinitely in both directions on the x-axis, with a vertical asymptote at x = 0 and symmetry about the y-axis.
Suppose the standard deviation of X is 6 and the standard deviation of Y is 8. Answer the following two questions, rounding to the nearest whole number. What is Var[3X - 7Y] if the covariance of X and Y is 2?
Recall that
Var[aX + bY] = a ² Var[X] + 2ab Cov[X, Y] + b ² Var[Y]
Then
Var[3X - 7Y] = 9 Var[X] - 42 Cov[X, Y] + 49 Var[Y]
Now, standard deviation = square root of variance, so
Var[3X - 7Y] = 9×6² - 42×2 + 49×8² = 3376
The general result is easy to prove: by definition,
Var[X] = E[(X - E[X])²] = E[X ²] - E[X]²
Cov[X, Y] = E[(X - E[X]) (Y - E[Y])] = E[XY] - E[X] E[Y]
Then
Var[aX + bY] = E[((aX + bY) - E[aX + bY])²]
… = E[(aX + bY)²] - E[aX + bY]²
… = E[a ² X ² + 2abXY + b ² Y ²] - (a E[X] + b E[Y])²
… = E[a ² X ² + 2abXY + b ² Y ²] - (a ² E[X]² + 2 ab E[X] E[Y] + b ² E[Y]²)
… = a ² E[X ²] + 2ab E[XY] + b ² E[Y ²] - a ² E[X]² - 2 ab E[X] E[Y] - b ² E[Y]²
… = a ² (E[X ²] - E[X]²) + 2ab (E[XY] - E[X] E[Y]) + b ² (E[Y ²] - E[Y]²)
… = a ² Var[X] + 2ab Cov[X, Y] + b ² Var[Y]
solve for inequality for graph y + 4 > 1/2 {x + 2}
Answer:
y > X/2 - 3
I think that's the answer.
Round your answer to 1 decimal place if needed.
NK =
JK =
The measure of arc MK =
degrees
The measure of arc JPK =
degrees
The segment lengths and the arc measures are NK = 12, JK = 24, arc MK = 53.1 degrees and arc JPK = 253.8 degrees
Calculating the segment lengths and the arc measuresFrom the question, we have the following parameters that can be used in our computation:
The circle
Using the pythagoras theorem, we have
NK^2 = 15^2 - 9^2
NK^2 = 144
So, we have
NK = 12
Next, we have
JK = 2 * NK
So, we have
JK = 2 * 12
Evaluate the product
JK = 24
For the arc measures, we have
arc MK = arc cos(9/15)
So, we have
arc MK = 53.1 degrees
Next, we have
arc JPK = 360 - 2 * 53.1 degrees
Evaluate
arc JPK = 253.8 degrees
Hence, the measure of the arc JPK is 253.8 degrees
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Can y’all help me on question 10?!
Answer:
B
Step-by-step explanation:
N=4x0+12=12
Answer:
12
Step-by-step explanation:
N = 4m + 12 =
N = (4 x 0) + 12
N = 0 + 12 =
N = 12
What is the surface area?
What is the surface area of E
Answer:
yes
Step-by-step explanation:
Answer:
412 (pls add the unit cuz i dont learn yd thx)
Step-by-step explanation:
13*12/2*4 + 10*10
= 312 + 100
= 412
Solve the following mentally 65% of 100
Answer: 65
Step-by-step explanation:
Find the sum of the arithmetic sequence.
3, 5, 7, 9, ..., 21
Choices:
39
120
20
23
Answer:
23
Step-by-step explanation:
5-3=2
7-5=2
21+2=23
its adding 2 each time the numbers change
1 - 3/10 - 1/10 please help
Answer:
0.2 in decimal form and 1/5 in fraction form
Step-by-step explanation:
Answer:
-3/10-1/10
= -4/10
Step-by-step explanation:
-3-1=-4............
If u are supposed to reduce to simplest form
-2/5
3 1/4 - 5/8 as a fraction
5/8
i convert to decinal then back to fraction, but you can do it however.
Exact Form: 21/8
Mixed number form: 2 5/8
Step-by-step explanation:
If you place a 21-foot ladder against the top of a building and the bottom of the ladder
is 12 feet from the bottom of the building, how tall is the building? Round to the
nearest tenth of a foot.
In the given figure, AE/IBC, square ABCD and triangle EBC are standing a
common side BC. If the length of AC is 6 cm, find the area of AEBC.
A
D
E
B
O
12 cm2
O
18 cm?
o
36 cm2
O
9 cm2
Answer:
The area of AEBC is 36 cm²
hope it is helpful to you
The graph represents the number of cans produced at a factory with four machines.
What is the constant of proportionality?
A. 4
B. 5
C. 10
D. 15
PLEASE don’t answer if you don’t know the answer! Whoever answers correctly will get Brainliest :)
Answer:
15
Step-by-step explanation:
we have to divide a value of y by a value of x
(15: 1) = 15
we can check this result by do other tries.
(30:2) = 15
(45:3) = 15
(60:4) = 15
How many real solutions does this system of equations have? x²+y²=36
3x-y+1=0
A.0
B. 2
C. 3
D. 1
This system of equations have 2 real solution.
Do fractions actually solve problems?As a result, all of these numbers—rational and otherwise—as well as fractions are regarded as real numbers. Due to the decimal's ability to float within the numbers, real numbers with decimal points are known as floating point numbers. No whole number or integer can be a floating point number.
y = 3x + 1 is a solution to 3x - y + 1 = 0.
This line's y-intercept is represented by (0, 1). Plot this point inside the circle with radius 6 that was previously mentioned, and then draw a straight line through it with a slope of 3.
Two points where this line crosses the circle denote actual solutions.
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What is the distance between points A and B?
5
.
2
11 units
2 units
9 units
7 units
PLEADE HELP
What does no solution look like and the same to two solution, one solution?
Answer:
Is there an image?
Step-by-step explanation:
Given it was not a strike, what is the probability it was a knuckle
ball? Enter the answer as a percent (%)to the nearest tenth.
In response to the above problem, we may state that the triangle's - 5/13 measurements correspond to sin and cos.
Trigonometric functions: what are they?The first six essential trigonometric functions are used in trigonometry. These functions are trigonometric ratios. The sine function, cosine function, secant function, co-secant function, tangent function, and co-tangent function are the six basic trigonometric functions. The side ratio of a right-angled triangle is equivalent to the identities and functions of trigonometry. Trigonometric formulas are applied to the perpendicular side, hypotenuse, and base of a right triangle in order to calculate the sine, cosine, tangent, secant, and cotangent values.
as base/hypotenuse = cos x
and sin x = hypotenuse/perpendicular
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The graph of a quadratic function with vertex (2, -4) is shown in the figure below.
Find the domain and the range.
101
پہلے
<+
-10
10
Write your answers as inequalities, using x or y as appropriate.
Or, you may instead click on "Empty set" or "All reals" as the answer.
In the graph of a quadratic function with vertex (2, -4) is shown in the figure, the Domain: -∞ < x < ∞ and Range: -4 ≤ x < ∞.
What is quadratic function?When a polynomial function has one or more variables and the highest exponent of any one of the variables is two, the function is said to be quadratic function.
A polynomial of degree 2 is referred to as such because the highest degree term in a quadratic function is of second degree. There must be at least one second-degree term in a quadratic function. This function is algebraic.
Domain for this quadratic function is all possible values of x where function is defined.
Thus, Domain: -∞ < x < ∞
Range is the set of value functions that correspond to the value 'x.'
Range: -4 ≤ x < ∞
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A scientist collects a bacteria sample that begins with 7 million microbes. The sample doubles in the number of microbes every 30 minutes. The sample can be represented by the exponential equation, y = 7⋅2^t/30. Which of the following represents the equation solved for t?
Answers:
A. 30log(14) = t
B. 30 log (y-7/2)=t
C. 30log2(y/7) = t
D. 30log14 y = t
Answer:
sooo like my dude i dont actually dont know
Step-by-step explanation:
so my dude might be A dont fricking know fricking idiot lol bozo
Answer: i think C
Step-by-step explanation:
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
=>(c)^2=(a)^2+(b)^2
=>(c)^2=(56)^2+(33)^2
=>(c)^2=3136+1089
=>(c)^2=4225
=>c=√4225
=>c=65 metre