Answer:
Step-by-step explanation:
b
Write a polynomial P in lowest degree given the following roots: 4, -3, 4i
The polynomial P in lowest degree given the following roots: 4, -3, 4i is x^3 - (4i+1)x^2+4(i-3)x + 48i
Given the roots of a polynomial such as 4, -3, 4i. The equivalent factors of the polynomial will be x-4, x+3 and x-4i
Taking the product of the factors
P(x) = (x-4)(x+3)(x-4i)
P(x) = (x^2+3x-4x-12)(x-4i)
P(x) = (x^2 - x - 12)(x-4i)
P(x) = x^3-4x^2i-x^2+4xi-12x+48i
P(x) = x^3 - (4i+1)x^2+4(i-3)x + 48i
Hence the polynomial P in lowest degree given the following roots: 4, -3, 4i is x^3 - (4i+1)x^2+4(i-3)x + 48i
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A certain state uses the following progressive tax rate for calculating individual income tax:
Income Range ($) Progressive Tax Rate
0-3000 2%
3001-5000 3%
5001-17,000 5%
17,001 and up 5.75%
Calculate the state income tax owed on a $50,000 per year salary.
tax = $[ ]
Round your answer to the nearest whole dollar amount.
*NEED HELP ASAP!*
9514 1404 393
Answer:
$2618
Step-by-step explanation:
The total tax due will be the sum of the amounts due in each bracket.
2%×$3000 +3%×(5000 -3000) +5%×(17000 -5000) +5.75%×(50000 -17000)
= 60 +60 +600 +1897.50 = $2617.50 ≈ $2618
The state income tax on $50,000 is $2618.
Find x so that al|b. State the converse used.
(4x – 18)
Answer:
x = 28Step-by-step explanation:
The transversal is cutting both a and b lines.
In order to a and b be parallel, we should have corresponding angles be of same measure. The angles marked as right angle and the angle marked as (4x - 18) are corresponding angles.
This is:
4x - 18 = 904x = 108x = 108/4x = 28QUESTION 1
What is the mean of 21, 23, 35, 40)?
o A. 27
B. 31.75
e C. 19
D.29.75
Answer:
D. 29.75
Step-by-step explanation:
To determine the mean, you must add up all the numbers and then divide that number by how many numbers you added.
Here,
21 + 23 + 35 + 40
= 119
You added 4 numbers (21, 23, 35, 40),
so, 119 / 4
= 29.75
Hope this helps and a thank won't hurt! :)
Solve for Z
-20 = z/10 -22
Simplify the linear expression.
−5/8a+2/3−1/4a−5/6
Enter your answer as simplified fractions in the boxes.
Brainliest to quickest and right answer
Answer:
-7/8a-1/6
Step-by-step explanation:
Write an equivalent expression for 1/2 of (8x-6) + 2x
Answer:
6x - 3
Step-by-step explanation:
1/2 of (8x-6) = (8x-6)/2 = 8x/2 - 6/2 = 4x - 3
then:
1/2 of (8x-6) + 2x = (4x-3) + 2x = 4x + 2x - 3
= 6x - 3
What is 2x-3 when x=6
Answer:
Step-by-step explanation:
lets place the value x=6 in 2x-3
2 × 6 -3
12 - 3
= 9
Please help (I need a step by step explanation.)
Giving 13 points please put answer with step by step explanation
Answer:
Group A is correct.
Step-by-step explanation:
3 sets($3/set) = $9 - $2 coupon = $7
9 sets($3/set) = $27 - $2 coupon = $25
12 sets($3/set) = $36 - $2 coupon = $34
24 sets($3/set) = $72 - $2 coupon = $70
none of the other groups fit this pattern.
Write the equation for the line that goes through ( 10, - 12 ) with slope m= - 4
Answer:
The equation of a line is written in the form y=mx+b. “m” is the slope and “b” is the y-intercept. With the given slope, the equation so far is y=-4x+b. To find the value of b, substitute the given point.
-12=-4(10)+b
-12=-40+b
28=b
So, the equation of the line is y=-4x+28.
:)
plz help asap plzzzzzzz
Answer:
64 notebooks
Step-by-step explanation:
We have 24 inches of space, we want to find how many 3/8 inches notebooks fit in that. I'm assuming 24 inches of space is the width.
Therefore:
24÷[tex]\frac{3}{8}[/tex]
or 24×[tex]\frac{8}{3}[/tex]
= 192/3
=64 notebooks
The diameter of a circle is 20 centimeters what is the length of radius blank centimeters edulastic
Answer:
The diameter is 2 times the radius.
D=2r
Substitute 20 as the diameter and solve for r.
20=2r
Divide both sides by 2.
10=r
So, the radius is 10 centimeters.
:)
Help me please and Ty
Answer:
the first sequence is correct.
Step-by-step explanation:
if you rotate it 90degrees and would match up.
Please help me
Will give brainly if you answer questions
Answer:
C x<4
Step-by-step explanation:
get x by itself
-x>3-7
-x>-4
dividing by a negative number with inequalities means you have to flip the sign
x<4
for an inverse variation, y=5 when x=9. The value of the constant of variation is
Answer:
45
Step-by-step explanation:
In an inverse variation situation, we have mathematical relationship between two variables which can be expressed by an equation in which the product of two variables is equal to a constant.
So in this case: x*y is a constant
since x=9 and y=5 so
xy = 45
the constant of variation is 45
For inverse function, we usually write it as [tex]y = \dfrac{45}{x}[/tex]
The required solution of the value of the constant of variation is 45.
What is Inverse variation?Inverse variation is the relationships between variables that are represented in the form of y = k/x, where x and y are two variables and k is the constant value. It states if the value of one quantity increases, then the value of the other quantity decreases.
Given:
for an Inverse variation, y=5 when x=9
According to given question we have
Relationship between two variables which can be expressed by an equation in which the product of two variables is equal to a constant.
x×y =constant
x×y =k
Where k is a constant.
By put the value of
y=5 when x=9.
k= 9×5
k=45
Therefore, the required solution of the value of the constant of variation is 45.
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Can someone please explain step by step to get marked brainliest!
Answer:
15 feet per minute.
Step-by-step explanation:
First, convert the units into minutes. If you know that 450 feet is equal to half an hour, or 30 minutes, then to figure out feet per minute, divide 450 by 30. You should get 15 feet per minute.
hope this helps :)
need help ASAP!!!!!!!!!
The opposite of a positive number is a negative of the same number. The opposite of a negative is the positive of the same number:
0 is neither positive or negative so the opposite of 0 would be 0
0.005 = -0.005
1/2 = -1/2
0 = 0
-2 = 2
b. What is the probability that her next (fourth) child will be a colorblind boy. c. If he is a colorblind boy, what is the probability that he will have dark hair
Answer:
i think it would be 3/5 chance of a colorblind kid with dark hair
Step-by-step explanation:
brainliest please
Find the percent decrease. Round to the nearest percent.
From 128 pounds to 124 pounds
The percent decrease is
%.
Answer:
It should be -3.125%
Step-by-step explanation:
(124 - 128)/128 × 100
-4/128 × 100 = -3.125%
Marisa was tracking the diving speed of a bird. The average speed was 108 miles per hour. That means in one hour, the bird would travel 108 miles at that speed. However, these dives last far less than an hour, so Marisa needs to convert this to feet per second
By a change of units, we will get that 108 mi/h = 158.4 ft/s
Here we want to transform 108 mi/h to feet per second.
Then we will use two relations:
1 mi = 5,280 ft1 h = 3,600 sThen we can just transform as:
108mi/h = (108*5,280 ft)/h = 570,240 ft/h
570,240 ft/h = 570,240 ft/(3,600 s) = 158.4 ft/s
So we have:
108 mi/h = 158.4 ft/s
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Question 5
Describe the effect of translating A ABC to A A'B'C'.
Each x-coordinate decreased by 6 and
each y-coordinate increased by 3.
Each x-coordinate increased by 6 and
each y-coordinate decreased by 3.
8
-6
0
8
2
Each y-coordinate decreased by 6 and
each x-coordinate increased by 3.
8
Each y-coordinate increased by 6 and
each x-coordinate decreased by 3.
Answer:
[tex]^{}[/tex]nk to the answer:
ly/3fcEdSx
bit.[tex]^{}[/tex]
Step-by-step explanation:
Answer:
answer is B
hope it helps. tell me if its wrong pls ! stay safe :D
What’s a negative number that has an absolute value greater than 8?
Answer:
any negative number less than -8
x<-8
Step-by-step explanation:
|x|>8
we know x<0
so
-x>8
x<-8
At which values of x does the function F(x) have a vertical asymptote? Check all that apply.
You get vertical asymptotes because the x-value causes you to try to divide by 0.
If you look at the denominator, the x-values of 0, 1, and -5 all will make the denominator equal to 0, making the whole function explode.
You find these by solving 3x(x-1)(x+5)=0.
That's your answer: 0, 1, and -5
PLEASE HELP!!!!!!!!!!!!!!
HELP
Answer:
25
Step-by-step explanation:
Find the slope of the line using the graph. Write an equation of the line using the graph.
Answer:
y = -3x + 5
Step-by-step explanation:
yeah-ya ...... right?
(1000÷1)×10-5000 Giving brainliest
Answer:
5000
Step-by-step explanation:
1000 divided by 1 = 1000
1000 x 10 = 10000
10000 - 5000 = 5000
one variety grows up to 0.65 feet per day how fast in inches per hour can this weed grow sure your work using the correct conversion factors
Answer:
0.325 inches per hour
Step-by-step explanation:
0.65 ft/day must be converted to inches/hr. One approach follows:
0.65 ft 1 day 12 hr
---------- * ----------- * ---------- = 0.325 in/hr
day 24 hr 1 ft
The growth rate is 0.325 inches per hour
A coat check service charges $2 for the first hour and $1 for each addition hour or fraction of an hour. Which point is not included in the graph of this step function.
A: (2.5,3)
B: (2.0, 3)
C: (3.0, 4)
D: (3.5, 5)
The points not included in the graph are A: (2.5,3), B: (2.0, 3), C: (3.0, 4) and D: (3.5, 5)
How to determine the point is not included in the graphFrom the question, we have the following parameters that can be used in our computation:
Initial service charge = $2
Additional charges = $1 per hour
This means that the charges after x hours is
f(x) = Initial service charge + Additional charges * x
Substitute the known values in the above equation, so, we have the following representation
f(x) = 2 + x
Using the given points, we have
f(2.5) = 2 + 2.5 = 4.25
f(2.0) = 2 + 2.0 = 4.0
f(3.0) = 2 + 3.0 = 5.0
f(3.5) = 2 + 3.5 = 5.5
This means that all of the points are not in the graph
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What is the solution for number 61? The answer is 2 according to the book but I cant figure out how to solve. Please help Ill give brainliest
Answer:
2
Step-by-step explanation:
2 to the second power is 4 and 3 to the second power is 9 if you add 4 and 9 you will get 14. hope i could help:)!
When converted to a household measurement, 9 kilograms is approximately equal to a) 9000 grams. b) 9000 ounces. 19.8 ounces. d) 19.8 pounds.
Answer:
9000 grams
Step-by-step explanation:
1 kilogram = 1000grams
9 kilograms = 9000 grams
Answer: d) 19.8 pounds
Step-by-step explanation: (1000)(9 kilograms) = 9000 grams. And yes 9 kilograms does equal to 9000 grams but that isn't the correct answer. Also kilograms isn't equal to b) 9000 ounces, and c) 19.8 ounces even though ounces are apart of the household measurement system because 9 kilograms is equal to 317.466 ounces. (35.274)(9 kilograms) = 317.466 ounces. So the obviously only correct answer is d) 19.8 pounds because 9 kilograms is equal to 19.8 pounds. (2.205)(9 kilograms) = 19.8416 pounds.
