Answers
Answer:
Step-by-step explanation:
Related Questions
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the zeros 4 and 3−i.
Answers
Answer:
[tex]P(x) = x^3 - 10x^2+ 34x-40[/tex]
Step-by-step explanation:
Given
[tex]p =1[/tex] -- Leading coefficient
[tex]Zeros: 4\ and\ 3 - i[/tex]
Required
Determine the polynomial
Represent the zeros with a and b
Such that
[tex]a = 4[/tex]
[tex]b = 3 - i[/tex]
The polynomial is:
[tex]P(x) = p * (x - a) * (x - b)[/tex]
[tex]P(x) = 1 * (x - 4) * (x - (3 - i))[/tex]
However, to solve further: We need to symmetrise over 3-i and its conjugate
[tex]P(x) = 1 * (x - 4) * (x - (3 - i))* (x - (3 + i))[/tex]
[tex]P(x) = (x - 4) * (x - (3 - i))* (x - (3 + i))\\\\[/tex]
To define a suitable function, the expression becomes
[tex]P(x) = (x - 4) * ((x - 3)^2+1)[/tex]
[tex]P(x) = (x - 4) * ((x - 3)(x - 3)+1)[/tex]
[tex]P(x) = (x - 4) * (x^2 - 6x + 9+1)[/tex]
[tex]P(x) = (x - 4) * (x^2 - 6x +10)[/tex]
Open bracket
[tex]P(x) = x^3 - 6x^2 +10x - 4x^2 + 24x-40[/tex]
[tex]P(x) = x^3 - 6x^2 - 4x^2+10x + 24x-40[/tex]
[tex]P(x) = x^3 - 10x^2+ 34x-40[/tex]
Which of the following represents a function?
Answers
Answer:
D
Step-by-step explanation:
Hello There!
In order for a relation to be a function the x value cannot repeat
In answer choice A the x value 3 repeats therefore a cannot be the answer
In answer choice B the x value -1 repeats therefore B cannot be the answer
In answer choice C the x value -1 repeats therefore C cannot be the answer
In answer choice D none of the x values repeat so d is your answer
One seventh of a number is 12.
What is the number?
Answers
Answer:
84
Step-by-step explanation:
12 x 7 = 84
Answer:
84
Step-by-step explanation:
12÷ 1/7=84
Mr. Linx and Mrs. Lynn both work for the same company, but they do not have the the same hourly wages. Together they make $32.50 per hour. This week, Mr. Linx (x) worked 35 hours, and Mrs. Lynn (y) worked 37 hours. Together, they made $1,172.50.
Answers
Answer:
Mr. Linx wages = x = $15
Mrs. Lynn wages = y = $17.50
Step-by-step explanation:
Mr. Linx wages = x
Mrs. Lynn wages = y
x + y = 32.50 (1)
35x + 37y = 1,172.50 (2)
From (1)
x = 32.50 - y
Substitute x = 32.50 - y into (2)
35x + 37y = 1,172.50
35(32.50 - y) + 37y = 1172.50
1137.5 - 35y + 37y = 1172.50
- 35y + 37y = 1172.50 - 1137.50
2y = 35
y = 35/2
y = 17.50
Substitute y = 17.50 into (1)
x + y = 32.50
x + 17.50 = 32.50
x = 32.50 - 17.50
x = 15
Mr. Linx wages = x = $15
Mrs. Lynn wages = y = $17.50
Mike discovered that the pool in his backyard is leaking slowly. The pool holds 17,085 gallons of water, and is leaking at a rate of 20
gallons per day.
If Mike does not replace the water that has leaked from the pool, how many gallons of water will remain in the pool
after 103 days?
A. 15,025 gallons
B. 16,055 gallons
C. 17,188 gallons
D. 19,145 gallons
Answers
Lauryn grew p tomato plants. Padma grew 5 fewer than 3 times the number Lauryn grew. Kent grew 6 more than 4 times the number Lauryn grew. Select all the expressions which represent the total number of tomato plants that Lauryn, Padma, and Kent grew.
p + (3p - 5) + (4p +6)
p + (5 - 3p) + (6 + 4p)
p + 11
8p + 1
7p - 1
PLEASE HELP!! IS MORE THAN ONE ANSWER!! WHOEVER GETS IT RIGHT GETS BRAINLYEST!!
Answers
Answer:
p + (3p - 5) + (4p +6) Correct
p + (5 - 3p) + (6 + 4p) Not Correct
p + 11 Not correct
8p + 1 Correct
7p - 1 Not correct
Step-by-step explanation:
p + (3p - 5) + (4p +6)
simplified = 8p +1
Translate the description as an algebraic expression:
the sum of 11 cubed and a
Answers
Answer:
a + [tex]11^{3}[/tex]
or
a + 1331
Step-by-step explanation:
The sum of 11 cubed and a
[tex]11^{3}[/tex] + a
or
1331 + a
Which could be the side lengths of a 30°-60°-90° right triangle?
A 2, 3, 2
B 13, 2/3, 3
C 3, 3, 32
D 3,3/3, 613
Answers
Answer:
None of these could be a 60-30 right triangle
Step-by-step explanation:
A) is a 45-45 right triangle and the hypotenuse is too short
a² + b² = c² 2² + 2² ≠ 3²
B) 13 is way too long
C) 32 too long 3² + 3² ≠ 32²
D) really 613 no way
Трикутна піраміда побудована з 10 однакових кульок так,
Як показано на малюнку 1. На кожній кульці написана
одна з букв A, B, C, D чи Е і кожна буква написана на двох
кульках. На малюнку 2 зображено вигляд цієї піраміди з
трьох різних боків. Яка буква на кульці зі знаком питання?
Answers
Answer:
Sorry I don't know this language
PLEASE PLEASE PLEASE ANSWER THESE ASAP!!! I HAVE COURT IN 8 HOURS AND I HAVE TO RAISE MY GRADE UP!!!!
1. If a 40 foot tall ladder is placed 15 feet from the base of a house, how high up the house will the ladder reach?
2. Starting from the same spot in the woods, Presley ran 24 meters North to camp while her sister Ava ran 16 meters west. From this point, how far will Ava need to travel to reach camp
Answers
Answer:
Hope this helps! If I could have brainliest I'm trying to rank up :)
Step-by-step explanation:
1.x = 37.08 feet
Using the Pythagorean Theorem:
x^2 + 15^2 = 40^2
x^2 + 225 = 1600
x^2 = 1600 - 225
x^2 = 1375
x = SQRT(1375)
x = 5SQRT(55)
x = 37.08 feet
2.Using pathagorean it’s 16^2 + 24^2 = c^2
256 + 576 = 832
The answer is the sqrrt of 832
Which is 8sqrrt13 or 28.44
Look at question....
Answers
The wages w (in £) June earns is the number of hours she works n multiplied by her hourly rate r (in £ per hour). Enter a formula for June's wages and enter the wage she would earn if she worked 17 hours at a rate of £7.30 per hour
Answers
Answer:
Wages she earn = £124.1
Step-by-step explanation:
Given:
Number of hour work in June = 17 hour
Rate = £7.30 per hour
Find:
Wages she earn
Computation:
Wages she earn = Number of hour work in June x Rate
Wages she earn = 17 x £7.30
Wages she earn = £124.1
What is (f−g)(x)?
f(x)=x3−2x2+12x−6
g(x)=4x2−6x+4
Enter your answer in standard form in the box.
Answers
Green Frog convenience store supplies two types of protein bars. One protein bar has 320 calories in the 2-ounce size. How many calories are in the 3-ounce size of the bar?
320
213
480
620
Answers
Answer:
I think it is C) 480
Step-by-step explanation:
320÷2=160
160×3=480
Can I please have Brainliest?
There are 480 calories are in the 3-ounce size of the bar.
What is mean by Multiplication?Multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
Green Frog convenience store supplies two types of protein bars.
And, One protein bar has 320 calories in the 2-ounce size.
Now,
For 1 ounce size, calories in One protein bar = 320 / 2
= 160
Hence, We get;
For 3 ounce size, calories in One protein bar = 160 x 3
= 480
Thus, There are 480 calories are in the 3-ounce size of the bar.
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ3
Two lines, a and b, are parallel. If both of the lines are rotated 90° in the same direction and then translated to the right by the same number of units, which statement about the lines resulting from these transformations is true?
Answers
Answer:
Step-by-step explanation:
Parallel lines: A and B
Rotation: 90° same direction
Translation: Right (same units)
What is the value of x?
Answers
Answer:x = 8.5
Step-by-step explanation:
1. Combine like terms
62+75+9 = 146
2.Set up equation
146+4x = 180
3. Subtract 146 to each side
146-146 + 4x = 180-146 = 34
4. Divide by 4
4x/4 = 34/4
X= 8.5
I NEED HELP PLEASE
are 12 cups greater than or less then 4liters
?????
Answers
Answer:
12 cups are less than 4 liters
Answer:
4 litres is greater.
A litre is worth about 4.23 cups. This means 4 liters is worth around 16.9 cups, whereas cups are worth 2.83 litres.
-10 + 2d=8 pls help me
Answers
Answer:
Add 10 from both sides:
2d = 18
divide by 2
D = 9
Paper clips are sold in boxes of 1000.
Each box costs £15.40
The table below shows the discount offered for large orders.
Ethan orders 5 boxes of paper clips.
Work out the amount of discount Ethan gets.
Answers
Answer:
6.5%
Step-by-step explanation:
1000 in a box and he orders 5 boxes.
1000x5= 5000
So he orders 5000 paper clips
1 box is £15.40 and he order 5, so £15.40x5= £77
£77 is between £55 and £79.99 so he will get 6.5% discount.
After the discount he will pay £71.99
could someone help me on this pleaseeee :)
Answers
Answer:
the slope is 1, y-intercept is (0,5) hope this helps!
Step-by-step explanation:
State the method that would be used to verify that the triangles are similar. Justify your answer.
Answers
Answer:
answer is 3
Step-by-step explanation:
add 5 minus 10
Please help Lia brought 21 shirts and plants. Her total was $357. Pants cost $25 each, and shirts cost $14.50 each. How many of each item did she buy? Show your work
Will give points
Show your work it’s sublimation
Will give points
Answers
Answer: Chnager your profile pic
Step-by-step explanation:
Answer:
noooooo nittt
Step-by-step explanation:well urv gay
PLEASE HELP! What is the slope of the line that passes through (3,6) and (7,16)?
Answers
what is the sum of -4/7 and 6/7
Answers
Answer:
2/7
Step-by-step explanation:
Since the denominators are the same, we need to add the numerators and place it over the common denominator
-4+6 = 2
so
-4/7 + 6/7 = 2/7
2/7
Answer:
B
Step-by-step explanation:
Which equation represents the relationship between x and y?
A. y = x + 25
B. y = 25x
C. x =25y
D. x = y +25
Answers
What is the output, or y-value, when you input x = -2 into the function:
y = x5 + 63
Answers
Answer:
y = 31
Step-by-step explanation:
Given
y = [tex]x^{5}[/tex] + 32 ← substitute x = - 2
y = [tex](-2)^{5}[/tex] + 63 = - 32 + 63 = 31
A formula to convert euros into pounds and p is the number of pounds and e is the number of euros.
p = e/1.2
Convert into pounds 12 euros
Answers
Step-by-step explanation:
p=e/1.2
insert 12 e into the formula
p=12/1.2
10 pounds
10pounds
The front of a dog house is in the shape of a isosceles triangle. If the sides measuring 4 feet and the base of the house is 6 feet long. Find the height of the doghouse.
Answers
Answer: [tex]\sqrt{5}[/tex] feet
Step-by-step explanation: Since it's an isosceles triangle, we can split it into two right triangles. Now we have two right triangles with a hypotenuse of 4 and one side length of 3. To solve for the other side length (the height), we can use the Pythagorean theorem. [tex]4^{2} = 3^{2} + h^{2}[/tex] where h is the height of the dog house. Solving for h, we get the answer of [tex]\sqrt{5}[/tex] feet
pls answer i’m in a test
Solve
-2x - 3> 13
Answers
Answer:
x<-8 is answer
Step-by-step explanation:
I got the big maths
4. Write the ratio for cos M.
cos M = 24/25
cos M = 12/25
cos M = 24/7
cos M = 25/24
Answers
Answer:
24/25
Step-by-step explanation:
Hello There
[tex]cos = \frac{adjacent}{hypotenuse} [/tex]
The adjacent of M is 24 and the hypotenuse is 25 so
[tex]cosm = \frac{24}{25} [/tex]
Answer:
cos M= base/hypotenuse=KM/LM=24/25
