True the no. 4 is an upper bound for the set of roots for the given polynomial.The roots can be real, imaginary or complex.
How to determine degree of a polynomial ?To determine the degree of a polynomial just observe the highest power of the given variable.
According to the given question
A polynomial is given
f(x) = 3x⁴ - 5x³ - 5x² + 5x +2
Here we can observe that it is a polynomial in of degree 4.
We know that a polynomial of degree 'n' has n no. of roots so obviously a polynomial of degree 4 has 4 roots.
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Simplify the following expression.
(5^3)^5
Answer:
5 ^15
Step-by-step explanation:
(5 ^3)^5 =5 ^(3×5)=5 ^15
The rule used is (a^b)^c = a^(b*c)
If you raise some exponential expression to another exponent, then you multiply the exponents. You keep the base the same.
In this case, a = 5, b = 3, c = 5.
Using a calculator,
5^15 = 30,517,578,125
But it's likely your teacher will want you to keep the answer in exponential form since it's easier to work with.
If B = 3x^2-x+3and A=x-6, find an expression that equals 2B+3A in standard form?
Answer:
[tex]6x^{2} +x-12[/tex]
Step-by-step explanation:
All you need to do is multiply equation B by 2 and multiply equation A by 3, then put an addition sign between them and combine like terms after you've distributed what you needed for each one.
The shampoo Eva likes to use costs $6 for a 24-ounce bottle. The conditioner she likes to use costs $12 for a 30-ounce bottle. How much more per ounce does her conditioner cost than her shampoo? $ per ounce
Answer:
0.15
Step-by-step explanation:
6 divided by 24 equals 0.25
12 divided by 30 equals 0.4
0.4 minus 0.25 is 0.15
$0.15 more per ounce does her conditioner cost than her shampoo.
Given that, the shampoo Eva likes to use costs $6 for a 24-ounce bottle.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
The conditioner she likes to use costs $12 for a 30-ounce bottle.
Cost of shampoo per ounce =Total cost/Number of ounce
= 6/24
= $0.25 per ounce
Cost of conditioner per ounce =Total cost/Number of ounce
= 12/30
= $0.4 per ounce
Difference =0.4-0.25
= $0.15
Therefore, $0.15 more per ounce does her conditioner cost than her shampoo.
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Nool is a computer repairman, To fix a computer,
he charges a customer X per hour, plus a fired
lee of $15 for the service call, as represented by
the equation below
y = 40x + 15
In the equation, what is represented by the variable
A the number of hours Noel worked
the amount Noel charged per hour
C, the fixed fee for the service call
D. the total cost of the repair job
Can someone
y=2x-3 in standard form. I’ll give brainliest if you answer it right. But hurry. It’s for my missing assignment.
Answer:
It would be 2x-y=3.
Someone please help! Asap
Write an integer to represent the following situation:A loss of 20 yards
Answer:
wth is your pfp lol I'm sory
The correct integers to represent the situation ''A loss of 20 yards'' is,
⇒ - 20
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
We have to given that;
The situation is,
⇒ A loss of 20 yards.
Since, Here A loss of 20 yards.
Hence, It represented by the integer '- 20' because of loss.
Thus, The correct integers to represent the situation is,
⇒ - 20
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Eight rolls of paper towels cost $4.80. At the same unit rate, how much will six rolls of paper towels cost? Describe the steps that you took to determine your answer.Eight rolls of paper towels cost $4.80. At the same unit rate, how much will six rolls of paper towels cost? Describe the steps that you took to determine your answer.
Answer:
$3.6Step-by-step explanation:
Given that 8 rolls cost $4.80
let us compute how much 1 roll will cost (that is the unit cost of a roll)
so 8 rolls cost $4.80
1 roll will cost x
x= 4.8/8
x=$0.6
so the paper tower cost $0.6 per roll (this is the rate)
therefore 6 rolls will cost
=6*0.6
=$3.6
Someone plz help me thank you.
Answer:
there are 438 blue marbles and 162 red marbles
Step-by-step explanation:
If we were doing it out of 100 there would be 73 blue marbles and 27 red marbles add 73 to 27 and you get 100 so multiply 73 by 6 and you get 438 and then multiply 27 by 6 and you get 162 and 438 to 162 and you get 600. Therefore your answer is 438 blue marbles and 162 red marbles.
hope this helps
10 Brynlee's monthly cell phone bill
is $60 a month plus $2.50 per
gigabyte used. Raylin's cell phone bill is $450
per month plus $3.25 per gigabyte used.
Determine after how many gigabytes used
would the cell phone plans cost the same
for the month what is the answer??
Answer:
20 gigabytes
Step-by-step explanation:
Let n represent the amount of gigabytes used.
First make an equation for each senario, Brynlee's would be 60+2.50n and Raylin's would be 45+3.25n.
Set them to equal each other, 60+2.50n=45+3.25n.
Then isolate for n.
60-45=3.25n-2.50n
15=0.75n
Divide both sides by 0.75 to get 20
Help! look at the image of the table of values below. Over which interval of x is the average rate of change the largest?
Answer:
A
Step-by-step explanation:
There is no way to tell a pattern.
aleena bought 15 kg of fruits she brought 3kg 750 g of apples 4kg 250g of mangoes and rest were oranges find the weight of oranges
pls urgent will surely mark u the brainliast
Answer:
8.950 kg
Step-by-step explanation:
Lemme know if incorrect
Which one?
A. B. C. or D?
C. 7/2x -2.
Because slope is positive, y intercept is -2.
7/2 because if rise over run
Branliest would be appreciated if this helped
Given: ΔABC, where AB = BC Prove: m∠BAC = m∠BCA Statement Reason 1. Let ΔABC be an isosceles triangle with AB = BC. given 2. Create point D on side so bisects ∠ABC. constructing an angle bisector 3. M∠ABD = m∠CBD definition of angle bisector 4. BD = BD Reflexive Property of Equality 5. ΔABD ≅ ΔCBD 6. M∠BAC = m∠BCA Corresponding angles of congruent triangles have equal measures. What is the reason for statement 5 in this proof? A. ASA B. SSS C. AAS D. SAS
Answer:
D. SAS
Step-by-step explanation:
Given: ΔABC
Bisecting <ABC to create point D implies that BD is a common side to ΔABD and ΔCBD.
Also,
m<ABD = m<CBD (angle bisector)
BA = BC (given property of the isosceles triangle)
Therefore,
ΔABD ≅ ΔCBD (Side Angle Side)
The reason for statement 5 in this proof is that ΔABD ≅ ΔCBD by SAS (Side-Angle-Side) relations of the congruent triangles.
Answer:
Option D is correct trust me
Step-by-step explanation:
You are helping to prepare a large kettle of chicken noodle soup. You need to peel 60 carrots. You have peeled 18 carrots already. It has taken you 9 minutes to peel the 18 carrots. How many more minutes will it take you to peel the rest of the carrots?
Answer:
21 minutes
Step-by-step explanation:
60 - 18 = 42
18 carrots ÷ 9 minutes = 2 carrots per minute
42 ÷ 2 = 21
Which of the following is a possible value for X
Answer:
E)3
Step-by-step explanation:
4/3-1=2
3+1/2=2
First, You cross multiply.
(x - 1)(x + 1) = 8
x^2 - 1 = 8
Now subtract 8 from both sides.
x^2 - 9 = 0
x^2 - 9 is a difference between 2 squares.
(x + 3)(x - 3) = 0
For an equation with only multiplying to be equal to 0, one of its factors must be 0.
So either x + 3 = 0 or x - 3 = 0.
So x could be -3 or 3.
The answer is (E).
Hope this helps!
The formula for the volume of a rectangular prism is V = lwh. Which is the equivalent equation solved for h?
Answer:
V /(lw) = h
Step-by-step explanation:
V = lwh
Divide each side by lw
V/ ( lw) = lwh/(lw)
V /(lw) = h
V /(lw) = h
V = lwh
Divide each side by lw
V/ ( lw) = lwh/(lw)
V /(lw) = h
Mrs. Greene wants to plant a vegetable garden in her yard. She purchased a package containing 30 sections of fencing, each 1-foot long If she uses all 30 sections to create rectangular space, how many different arrangements are possible? What is the largest area she can enclose for her garden with this fencing?
Answer:
The largest area she can enclose for her garden with this fencing is [tex]56 ft^2[/tex]
Step-by-step explanation:
Suppose the rectangular space Mrs. Greene wants to plant has dimensions x feet and y feet.
Since each section of fencing is 1-foot long, both x and y must be integer numbers.
The perimeter of the rectangular space is calculated as:
P = 2x + 2y
And we know she uses all 30 sections of fencing, thus:
2x + 2y = 30, where x, y are integers and positive.
Simplifying by 2:
x + y = 15
Solve for x:
x = 15 - y
This equation doesn't have infinitely many solutions, since both numbers must be integers and positive. Suppose we start by setting y=1, then x=14. That is a possible arrangement for the garden.
Another valid option is for y=2, x=13
Continuing with these patterns, we find the maximum value for y is 7, x=8, because if we set y=8, x=7, this is the same condition as y=7, x=8.
Thus, from y=1 to y=7, there are 8 possible combinations for the arrangement of the garden.
The area of a rectangle is
[tex]A=x\cdot y[/tex]
Testing some possible arrangements:
y=1, x=14
[tex]A=1\cdot 14= 14 ft^2[/tex]
y=2, x=13
[tex]A=2\cdot 13= 26 ft^2[/tex]
y=3, x=12
[tex]A=3\cdot 12= 36 ft^2[/tex]
We can notice the combination y=7, x=8 has an area of:
[tex]A=7\cdot 8= 56 ft^2[/tex]
This is the largest possible area of all combinations, thus:
The largest area she can enclose for her garden with this fencing is [tex]56 ft^2[/tex]
Which sequences of transformations confirm the congruence of shape II and shape I?
a reflection of shape I across the x-axis followed by a 90° clockwise rotation about the origin
a reflection of shape I across the x-axis followed by a 90° counterclockwise rotation about the origin
a reflection of shape I across the y-axis followed by a 90° counterclockwise rotation about the origin
a reflection of shape I across the y-axis followed by a 90° clockwise rotation about the origin
a reflection of shape I across the x-axis followed by a 180° rotation about the origin
A,B,C
Step-by-step explanation:
Answer:
A, B and C
Step-by-step explanation:
The standard height from the floor to the bull's-eye at which a standard dartboard is hung is 5 feet 8 inches. A standard dartboard is
18 inches in diameter.
Suppose a standard dartboard is hung at standard height so that the bull's-eye is 11 feet from a wall to its left.
Samuel throws a dart at the dartboard that lands at a point 11.5 feet from the left wall and 5.5 feet above the floor.
Does Samuel's dart land on the dartboard?
Answer:
Yes, Samuel dart does land on the dart board
Step-by-step explanation:
The given parameters are;
The height from the floor to the bulls eye = 5 feet 8 inches
The size of the standard board = 18 inches diameter
The distance of the bulls eye from the wall to the left = 11 feet
The distance the dart Samuel throws land from the left wall = 11.5 feet
The distance above the ground, the dart Samuel throws land = 5.5 feet
Whereby Samuel throws the dart directly at the dartboard, we have;
The location of the bulls eye = (11, 5.67)
The equation of the circle representing the dart board = (x - 11)² + (y - 5.67)² = 0.75² = 0.5625
The unit of the radius is in feet
The position of Samuel's dart is represented by the coordinate, (11.5, 5.5)
Plugging in the coordinates of the position of Samuel's dart into the equation of the circle of the dart board gives;
(11.5 - 11)² + (5.5 - 5.67)² = 0.2789 ≈ 0.528²
Therefore, given that the square of the distance of the position of Samuel's dart is less than the square of the radius of the dart board, we have;
Yes, Samuel dart does land on the dart board.
From the parameters given to find out if Samuel's dart landed on the dartboard, we can say that;
Samuel's dart does not land on the dartboard.
We are given;
Height from the floor to the bulls eye = 5 ft 8 in = 5.67 ft
Diameter of the standard dartboard = 18 in = 1.5 ft
Thus, radius; r = 1.5/2 = 0.75 ft
Distance of the bulls eye from the wall to the left = 11 ft
Distance of dart thrown by Samuel from the left wall = 11.5 ft
Height of dart thrown by Samuel above the ground = 5.5 ft
We know that general equation of a circle is;
(x - a)² + (y - b)² = r²
Since Height from the floor to the bulls eye is 5.67ft,then a = 5.67 ft
And also since Distance of the bulls eye from the wall to the left = 11 ft, then b = 11 ft
Thus;
(x - 11)² + (y - 5.67)² = 0.75²
(x - 11)² + (y - 5.67)² = 0.5625
Now, since he throws a dart at the dartboard that lands at a point 11.5 feet from the left wall and 5.5 feet above the floor. Thus;
r² = (11.5 - 11)² + (5.5 - 5.67)²
r² = 0.2789
r² of 0.2789 gotten here is lesser than 0.5625 gotten earlier, we can conclude that Samuel's dart does not land on the dart board.
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Which pair of functions are inverses of each other?
Answer:
A
Step-by-step explanation:
Inverse means that the function is reversed from the original function, f(x).
To find the inverse function of f(x)=5x-11, add 11 to x, then divide the expression by 5.
This would be (x+11)/5.
So, you know that A is true.
Try the other selections too.
B: [tex]g(x)=x^3/2[/tex] The x should be tripled before being divided by 2; FALSE
C: [tex]g(x)=7/(x+9)[/tex] 7 should by in the numerator; FALSE
D: [tex]g(x)=6(x+8)[/tex] 8 should be added before being multiplied by 6; FALSE
I hope this helps!!!
Using composite functions, it is found that the pair of functions that are inverse of each other is given by:
A. [tex]f(x) = 5x - 11[/tex] and [tex]g(x) = \frac{x + 11}{5}[/tex]
------------------
The composite of functions f and g is given by:
[tex](f \circ g)(x) = f(g(x))[/tex]
Two functions f and g are inverse of each other if:
[tex]f(g(x)) = g(f(x)) = x[/tex]
Item a:
[tex]f(x) = 5x - 11[/tex]
[tex]g(x) = \frac{x + 11}{5}[/tex]
[tex]f(g(x)) = f(\frac{x + 11}{5}) = 5(\frac{x + 11}{5}) - 11 = x + 11 - 11 = x[/tex]
[tex]g(f(x)) = g(5x - 11) = \frac{5x - 11 + 11}{5} = \frac{5x}{5} = x[/tex]
Since [tex]f(g(x)) = g(f(x)) = x[/tex], these functions are inverse of each other.
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An alloy is a mixture of metals. Suppose that a certain alloy is made by mixing 50 g of an alloy containing 12% copper with 78 g of an alloy containing 92% copper how many grams of copper are in the resulting mixture what percentage of the resulting mixture is copper
Given :
An alloy is a mixture of metals. Suppose that a certain alloy is made by mixing 50 g of an alloy containing 12% copper with 78 g of an alloy containing 92% copper.
To Find :
How many grams of copper are in the resulting mixture what percentage of the resulting mixture is copper.
Solution :
Mass of copper in 50 gm alloy = [tex]50\times 0.12 = 6\ gram[/tex].
Mass of copper in 78 gm alloy = [tex]78\times 0.98 = 76.44\ gram[/tex].
Total mass of copper, ( 6 + 76.44 ) gm = 82.44 gram.
Percentage of copper in resulting mixture :
[tex]\%=\dfrac{82.44}{50+78}\\\\\%=64.4\ \%[/tex]
Hence, this is the required solution.
i need help on this
Answer:
2
Step-by-step explanation:
63/9 = 7 and -5 + 7 is the same thing as 7-5 so it's 2
Answer:
2
Step-by-step explanation:
[tex]\frac{63}{9} = 7[/tex] Plug 7 in: -5 + 7-5 + 7 = 2I hope this helps!
x - 17 = 32 * linear equations
Answer: x=49
x-17=32
Subtract 17 from both sides.
x=32+17
x=49
Multiply. Use the greatest common factor to write each answer in simplest form. 8/21 x 7/10
Answer:
56/210---> 8/30---> 4/15
Step-by-step explanation:
Can someone Answer this please!
Answer:
I think the answer is A because Irrational numbers cannot be written in as a fraction but the do repeat at the point
The number 4 and the number 4/1 are
exactly the same. Explain why.
Step-by-step explanation:
Hey there!
It's obvious that 4 and 4/1 are exactly same.
Reason: something divided by 1 is always a a number same in a numerator.
Example;
1. 7/1 = 7
2. 5/1 = 5
Hope it helps..
Write a sentence as an equation using the given information in each problem.
1. Write the sentence as an equation.
the product of 371 and d is the same as 52
2. Write the sentence as an equation. n decreased by 320 is equal to 139
3. Write the sentence as an equation. 317 is equal to k plus 110
4. Write the sentence as an equation.
the total of 374 and k is the same as 305
5. Write the sentence as an equation. 398 is the same as d plus 6
Answer:
1. 371 × d = 52
2. n - 320 = 139
3. 317 = k + 110
4. 374 + k = 305
5. 398 = d + 6
Step-by-step explanation:
1. 371 × d = 52
d = 52/371
d = 0.14016172506
2. n - 320 = 139
n = 139 + 320
n= 459
3. 317 = k + 110
k = 317 - 110
k = 207
4. 374 + k = 305
k = 305 - 374
k = -69
5. 398 = d + 6
d = 398 - 6
d = 392
Which input in this table is incorrect?
Answer:
I would say its D. 9.00
Step-by-step explanation:
A square plaza at a train station has a side length as shown. Which expression represents the area of the plaza in square meters?
2x + 6
x2 + 9
6x + 9
x2 + 6x + 9
here's the answer hope this helps :)
Answer:
D. x2 + 6x + 9
Step-by-step explanation:
For anyone who didn't understand the above answer^^