Write a polynomial fx that satisfies the given conditions. Express the polynomial with the lowest possible leading positive integer coefficient.
Polynomial of lowest degree with lowest possible integer coefficients, and with zeros 5-32i and 0 (multiplicity 4).
f(x)=________
Answer:
Step-by-step explanation:
Find the question attached.
Given the zero of the polynomial 5+3i and 0, this means that (x-0) and (x-(5+3i)) are factors
Multiplying the factors together we have;
= x((x-(5+3i))
= x(x-5-3i)
= x²-5x-3xi
Hence the polynomial expression of the zeros is x²-5x-3xi
RS¯¯¯¯¯¯ bisects ∠QRT. If m∠QRT = 116°, what is m∠QRS?
A. 26°
B. 232°
C. 64°
D. 58°
Answer:
D. 58
Step-by-step explanation:
pretty easy clap
bisecting is midpoint which makes the two angles congruent
Joe is training to run in a half marathon in two months. This week he ran 1, 200,000 millimeters on Monday, 2, 400 meters on
Wednesday, and 4.6 kilometers on Friday. What is the total distance in kilometers that he ran this week?
TI
The total distance he travelled in kilometer is 8.2 km
What is distance?Distance is the total movement of an object without any regard to direction.
Given:
On Monday he walked = 1, 200, 000 mm
On Tuesday he walked= 2,400 m
On Wednesday he walked = 4.6 km
As, 1mm = 1/100,000
1,200,000 mm = 1.2 Km
and, 1 m =1/1000 km
2400m = 2.4 km
Hence, the total distance he travelled = 1.2+ 2.4 + 4. 6 = 8.2 km
Learn more about this concept here:
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if you can help would that would be amazing
Answer:
yes for the first one
because if you take number one for an example and use it for y
1^7*1^7*1^7=1 and 1^7*7*7=1
they both equal one
2.) [tex]\sqrt{x}[/tex]
[tex]\sqrt[3]{x}\sqrt[6]{x}=\:x^{\frac{1}{3}}x^{\frac{1}{6}}=\:x^{\frac{1}{3}+\frac{1}{6}}[/tex]
[tex]=x^{\frac{1}{3}+\frac{1}{6}}[/tex]
join 1/3+1/6= 1/2
then you get the answer
[tex]\sqrt{x}[/tex]
Step-by-step explanation:
brainlist pls:>
Write the equation of the line that passes through the points (-9, -3) and (-7, 7). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line. क Answer: Submit Answer attempt out of 2 Type here to search O in G
Answer:
5x-y +42=0
Step-by-step explanation:
Using m=Y2- Y1
X2- X1
the slope of the line is found .
Put your answer in Y - Y1 = m( X - X1)
to get the equation
4 x 12 = 6 x n.
4
6
8
12
Answer:
The answer is 8
Step-by-step explanation:
Because 4x12 is 48 and so is 6x8
Answer:
C. 8
Step-by-step explanation:
4 ⋅ 12 = 6n (6 ⋅ n is the same as 6n)
Multiply 4 ⋅ 12.
48 = 6n
Divide both sides by 6
n = 8
Hope I helped :)
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Please help me ! Find y
Anyone help? Please I’ve tried -35 but the graph is just to ten
Answer:
f(x) is always 5.
Step-by-step explanation:
The formula has a fixed value. Y is the f(x) in the function, and since there is no X, then Y is as said: 5. For example, when X is -7, the f(x), or Y, is still 5, and so on.
Use inductive reasoning to predict the next three numbers in the pattern.
Home
3, 5, 8, 13, 21, 34, ...
nents
Predict the next three numbers in the pattern.
3, 5, 8, 13, 21, 34,
Answer:
The next three terms are 55,89 and 144
Step-by-step explanation:
We want to predict the next three numbers in the pattern
3, 5, 8 , 13 , 21 , 34
The difference between two successive terms is written between them.
Thus, we have
3 2 5 3 8 5 13 8 21 13 34
So the rule here is to add the next term to the previous so as to get the next coming term
Thus, we have;
34 + 21 = 55
55 + 34 = 89
89 + 55 = 144
6th grade math teehehheeheeheheheheehe
Answer:
i think it's the second one
Step-by-step explanation:
i am not sure if it is correct or not. i hope it helps!
Use the limit definition to find an equation of a tangent line of f(x)= 1/(x-1) at the given point (2,1)
By "limit definition", I assume you mean the derivative. We have
[tex]f'(c) = \displaystyle\lim_{x\to c}\frac{f(x)-f(c)}{x-c}[/tex]
For [tex]f(x)=\frac1{x-1}[/tex] and c = 2, we have
[tex]f'(2)=\displaystyle\lim_{x\to2}\frac{\frac1{x-1}-1}{x-2}[/tex]
[tex]f'(2)=\displaystyle\lim_{x\to2}\frac{\frac{1-(x-1)}{x-1}}{x-2}[/tex]
[tex]f'(2)=\displaystyle\lim_{x\to2}\frac{2-x}{(x-1)(x-2)}[/tex]
[tex]f'(2)=\displaystyle\lim_{x\to2}\frac1{1-x}=-1[/tex]
The tangent line to (2, 1) has slope -1. Using the point-slope formula, it has equation
y - 1 = - (x - 2)
y = - x + 3
To write the polynomial 3x3 + x2 − 8x5 + 2x3 − 4x in standard form, which terms should be combined? A. 3x3 and 2x3 B. 3x3, 2x3, and x2 C. x2 and −4x D. x2 and 2x3
Answer:
Option A. is correct
Step-by-step explanation:
Like terms are those terms that have same variables of same powers. Terms that are not like terms are said to be unlike terms.
For example [tex]2x^3,7x^3[/tex] are like terms and [tex]5x^2,9x^5[/tex] are unlike terms.
Given polynomial is [tex]3x^3+x^2-8x^5+2x^3-4x[/tex]
Like terms need to be combined to write the polynomial in standard form
Here, like terms are [tex]3x^3,2x^3[/tex]
Option A. is correct.
Electrical Resistance The electrical resistance R of a wire varies inversely with the square of its diameter d. If a 25-foot wire with a diameter of 2 millimeters has a resistance of 0.5 ohm, find the resistance of a wire having the same length and a diameter of 3 millimeters.
Answer:
The answer is below
Step-by-step explanation:
The electrical resistance R of a wire varies inversely with the square of its diameter d:
R ∝ 1 / d
Let k represent the constant of proportionality, hence we can represent the statement as an equation:
[tex]R=\frac{k}{d^2}\\ \\when\ R=0.5 \Omega,d=2\ mm\\\\0.5=\frac{k}{2^2} \\\\k=2\\\\The\ equation\ becomes :\\\\R=\frac{2}{d^2}\\ \\When\ d=3, we\ find\ R\\\\R=\frac{2}{3^2} \\\\R=0.22\ \Omega[/tex]
Austin is paid a salary of $350 weekly. Find the Austin's earnings per year.
Answer:
$18234
Step-by-step explanation:
A vine called the mile-a-minute weed is known for growing at a very fast rate it can grow up to 0.25 ft per day. How fast in inched per hour can the mile-a-minute weed grow up to?
Answer:
it can grow .125 inches an hour
Step-by-step explanation:
if thats not what u were looking for commet it and ill try to help more
Answer:
.125 inches per hour
Step-by-step explanation:
you divide .25 by 24, since there are 24 hours in a day and get .0104.... and then you multiply that by 12, since there are 12 inches in a foot and get .125 inches per hour.
HI! Please answer this question! I'll mark as brainliest for whoever gets it right!
Answer:
32
Step-by-step explanation:
to get the area of a parallelogram you just do base times height
Use scientific notation to find the product of 7.13 × 10 -3 and 40.
Answer:
(7.13 × 10^-3) x 40 = 285.2 x 10^-3 = 2.9 x 10^-1
Step-by-step explanation:
I think this is the answer i hope if it right or not but aleast I try on it .
Question 8
A log with diameter 60 cm is 3 m in length its hollow centre is 20 cm in diameter.
Find the surface area of the log in cm', including the ends and the inside, correct to one decimal place.
Answer:
The surface area of the log including the ends and the inside is 80424.8 cm²
Step-by-step explanation:
To determine the surface area of the log with hollow center including the ends and the inside, we will find the surface area of the outer part of the log, surface area of the inner part of the log and the surface area of the two ends; and then sum everything up.
From the question,
Diameter of log = 60 cm
Length of log = 3 m = 300 cm
Diameter of hollow center = 20 cm
For the surface area of the outer part,
Area of the outer part = Circumference of the outer part × length
Circumference = 2πr = πd
∴ Area of the outer part = πd × l
(NOTE: d here is the diameter of the log)
d = 60 cm and l = 300 cm
Area of the outer part = 60π × 300 = 18000π cm²
For the surface area of the inner part,
Area of the inner part = Circumference of the inner part × length = πd × l
(NOTE: d here is the diameter of the hollow center)
d = 20 cm and l = 300 cm
Area of the inner part = 20π × 300 = 6000π cm²
For the surface area of one end
This is the difference between the area of the outer end and the area of the inner end
Here, we can determine the area by using
Area = πr², where r is the radius
Radius = Diameter / 2
Radius of outer end (R) = Diameter of log / 2 = 60cm / 2 = 30cm
Radius of inner end (r) = Diameter of hollow center / 2 = 20cm / 2 = 10 cm
∴ Surface area of one end = πR² - πr² = π(R²-r²)
= π (30²-10²)
= π (900 - 100)
= 800π cm²
This is the area of one end
For the two ends,
Area of the two ends = 2 × 800π cm² = 1600π cm²
Hence, the surface area of the log is 18000π cm² + 6000π cm² + 1600π cm²
Surface area of the log = 25600π cm²
Putting the value of π (π = 3.141592654)
Surface area of the log = 25600 × 3.141592654 cm²
Surface area of the log = 80424.77193 cm²
Surface area of the log = 80424.8 cm²
Hence, the surface area of the log including the ends and the inside is 80424.8 cm² (to one decimal place)
A union charges monthly dues of $6.00 plus $0.15 for each hour worked during the month. A union member's dues for March were $30.60. How many hours did the union member work during the month of March?
Answer:
4.5
Step-by-step explanation:
Find the value of x.
(A) 16 (B) 41 (C) 5 (D) 25 (E) 66
Answer:
D. 25Step-by-step explanation:
D. 25 is the correct answer....Hopes it helps you....Hopes to get BRAINLIEST.. .Thank you ☺️☺️☺️
A power boat travels along a river in which the flow of water is at a constant in one direction. If the boat travels at 40 mph downstream and 30 mph upstream. What is the speed of the boat in still water and the speed of the river?
Answer:
im guessing 35mph
Step-by-step explanation:
Answer:
30 mph and 40 mph
Step-by-step explanation:
It is the same with the speed and water.
Which Polygons are similar to A? PLEASE ANSWER QUICKLY
Answer:
B and C are similar to A but E is same as A.
The coordinates of the point 3/10 of the way from A(-3,-8) to B(11,4) are ___?
Answer:
The coordinate of the point 3/10 of the way from A to B = (0.5, -4.4)
Step-by-step explanation:
to calculate the point 3/10 of the way from A to B, let us first find the difference in the coordinates of the point
Change in x coordinate: x₁ = -3, x₂ = 11
= x₂ - x₁ = 11 - (-4) = 11 + 4 = 15
3/10 of 15 = 0.3 × 15 = 4.5
This means that the point on the x axis is 4.5 points away from x₁
= -4 + 4.5 = 0.5
Change y coordinate: y₁ = -8, y₂ = 4
= y₂ - y₁ = 4 - (-8) = 4 + 8 = 12
3/10 of 12 = 0.3 × 12 = 3.6
This means that the point on the y axis is 3.6 points away from y₁
= -8 + 3.6 = -4.4
Therefore the coordinate of the point 3/10 of the way from A to B = (0.5, -4.4)
6. Find CA*
Please help it’s so confusing
Answer:
The answer is 19.
Step-by-step explanation:
3x+1+12=9x+1
3x+13=9x+1
13=6x+1
12=6x
x=2
3(2)+1+12=19
Answer:
CA = 19
Step-by-step explanation:
3x + 1 + 12 = 9x + 1
combine like terms
3x + 13 = 9x + 1
Subtraction property of equality
3x - 3x + 13 = 9x - 3x + 1
13 = 6x + 1
Subtraction property of equality
13 - 1 = 6x + 1 - 1
12 = 6x
Division property of equality
12/6 = 6x/6
2 = x
Symmetric property of equality
x = 2
Substitute x for 2
9(2) + 1 = 19
Which situation represents a total change in value of 0?
A) You climbed 15 feet up a tree before coming back down 15 feet,
B) You climbed 3,000 feet up a mountain and then climbed down 1,000 feet to camp.
Answer:
A) You climbed 15 feet up a tree before coming back down 15 feet
The table below shows the location of four treasure chests relative to sea level. Which treasure chest is the farthest away from sea level?
a 0.75 foot
b 5/4 feet
c -0.5 foot
1 foot
Answer:
Step-by-step explanation:
sea level means negative so it have to be C -0.5 foot
problem solved
Please help will MARK BRANLIEST!!
As part of a landscaping project, put in a flower bed measuring 10 feet by 20 feet. Surround the bed with a uniform border of low-growing plants.
a. Write a polynomial that describes the area of the uniform border that surrounds the flower bed.
b. The low growing plants surrounding the flower bed require 1 square foot each when mature. If there are 216 of these plants, how wide a strip around the flower bed should be prepared for the border?
Answer:
took me time to try and answer your question hope it proves helpful
Express 27x81 as a power of 3
Answer:
3^7
Step-by-step explanation:
27 = 3^3
81 = 3^4
3+4 = 7
2. Solve in two ways
1/2 +1/4
Answer:
Step-by-step explanation: the first time you get 0.75 and the second time you get 0.125 hope this helped
The equation for line A is shown below: Y= -2/3x-4 Line A and Line B are perpendicular, and the point (-2 , 1) lies on Line B. Which equation Below represents line B?
Answer:
[tex]y = \frac{2}{3}x + \frac{7}{3}[/tex]
Step-by-step explanation:
Given
Line A:
[tex]y = -\frac{2}{3}x - 4[/tex]
Line B:
[tex](-2,1)[/tex]
Required
Determine the equation of Line B
First, we need to determine the slope of A using
[tex]y =mx + b[/tex]
Where:
[tex]m = slope[/tex]
By comparison:
[tex]y = -\frac{2}{3}x - 4[/tex]
[tex]m = -\frac{2}{3}[/tex]
Since A and B are perpendicular:
The slope of B (m2) is:
[tex]m_2 = \frac{-1}{m}[/tex]
[tex]m_2 = -1/\frac{-2}{3}[/tex]
[tex]m_2 = -1 * \frac{-3}{2}[/tex]
[tex]m_2 = \frac{3}{2}[/tex]
The equation of B is calculated as thus:
[tex]y - y_1 = m(x - x_1)[/tex]
Where
[tex](x_1,y_1) = (-2,1)[/tex]
[tex]m = \frac{2}{3}[/tex]
So, the equation becomes
[tex]y - 1 = \frac{2}{3}(x - (-2))[/tex]
[tex]y - 1 = \frac{2}{3}(x + 2)[/tex]
Open bracket
[tex]y - 1 = \frac{2}{3}x + \frac{4}{3}[/tex]
Make y the subject
[tex]y = \frac{2}{3}x + \frac{4}{3} + 1[/tex]
[tex]y = \frac{2}{3}x + \frac{4 + 3}{3}[/tex]
[tex]y = \frac{2}{3}x + \frac{7}{3}[/tex]