Answer: 1020p
Step-by-step explanation:
The total cost of the bells will be:
= 12p × 30 = 360p
She sells 3/5 of the bells for 50p each. This will be:
= (3/5 × 30) × 50
= 18 × 50p
= 900p
She sells the remaining 2/5 for 40p each. This will be:
= (2/5 × 30) × 40
= 12 × 40
= 480p
Then, total revenue will be:
= 900p + 480p
= 1380p
Profit = Revenue - Cost
= 1380p - 360p
= 1020p
The simplest polynomial function with zeros 7, square root 13 and 27i would be of what degree
Answer:
The simplest polynomial function is [tex]y = x^{4}-(7+\sqrt{13})\cdot x^{3}+(27+7\sqrt{13})\cdot x^{2}-(189+27\sqrt{13})\cdot x + 189\sqrt{13}[/tex].
Step-by-step explanation:
A n-th order polynomial in factorized form is defined by:
[tex]y = (x-r_{1})\cdot (x-r_{2})\cdot ...\cdot (x-r_{n-1})\cdot (x-r_{n})[/tex] (1)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]r_{1}[/tex], [tex]r_{2}[/tex],..., [tex]r_{n-1}[/tex], [tex]r_{n}[/tex] - Roots of the polynomial.
We know that three roots, two real and a complex root. By Quadratic Formula, a second order polynomial has two conjugated complex number of the form [tex]a + i\,b[/tex] and [tex]a - i\,b[/tex]. Hence, there is an additional zero: [tex]-i\,27[/tex].
By applying (1), we have the following polynomial when all roots are used:
[tex]y = (x-7)\cdot (x-\sqrt{13})\cdot (x-i\,27)\cdot (x+i\,27)[/tex]
By factorization and algebraic handling we have the simplest polynomial function:
[tex]y = [x^{2}-(7+\sqrt{13})\cdot x +7\sqrt{13}]\cdot (x^{2}+27)[/tex]
[tex]y = x^{2}\cdot (x^{2}+27)-(7+\sqrt{13})\cdot [(x^{2}+27)]\cdot x+7\sqrt{13}\cdot (x^{2}+27)[/tex]
[tex]y = x^{4}+27\cdot x^{2}-(7+\sqrt{13})\cdot x^{3}-(7+\sqrt{13})\cdot 27\cdot x +7\sqrt{13}\cdot x^{2}+189\sqrt{13}[/tex]
[tex]y = x^{4}-(7+\sqrt{13})\cdot x^{3}+(27+7\sqrt{13})\cdot x^{2}-(189+27\sqrt{13})\cdot x + 189\sqrt{13}[/tex]
The simplest polynomial function is [tex]y = x^{4}-(7+\sqrt{13})\cdot x^{3}+(27+7\sqrt{13})\cdot x^{2}-(189+27\sqrt{13})\cdot x + 189\sqrt{13}[/tex].
PLEASE HELP THIS IS ONE OF MY OVERDUE ASSIGNMENTS AND I NEED HELP!!!
Someone plz help me I will give brainliest
Answer:
I think it is D
Step-by-step explanation:
This is from pre calc
Answer:
The dimensions are 106, 47,116
Step-by-step explanation:
[tex]when \: {(x + 10)}^{2} = {y }^{2} + {x}^{2} \\ then \: {y}^{2} = {(x + 10)}^{2} - {x}^{2} \\ {y}^{2} = {x}^{2} + 20x + 100 - {x}^{2} \\ {y}^{2} = 20x + 100 \\ then \: y = \sqrt{20x + 100} \\ when \\ area \: of \:rectangular \: = x \times y \\ then \\ x \times \sqrt{20x + 100} = 5000 \\ Square \: both \: sides \\ {x}^{2} (20x + 100) = 25000000 \\ 20 {x}^{3} + 100 {x}^{2} - 25000000 = 0 \\ Using \: the \: analysis \\ x = 106 \: \: \: or \: x = - 55.5 \\ \: We \: reject \: the \: negative \: solution \: because \: there \: is \: no \: length \: in \: the \: negative \\ then \: the \: dimensions \: are \: \\ 106 \\ 47 \\ 116[/tex]
Some customers have requested a shorter tour with fewer stops. All her tours need to start and end at point A. Suggest a shorter route that eliminates two or three stops from her current route. What is the length in miles of the route you suggest? Round to the nearest hundredth.
9514 1404 393
Answer:
ABDEF -- 0.82 miles
Step-by-step explanation:
The lengths in feet of each of the segments have been worked out in the attachment to this problem:
https://brainly.com/question/21623703
A shorter route could be one that leaves out stops C, G, H:
ABDEF has length (in feet) of ...
AB +BD +DE +EF +FA = 817.7 +512.8 +804 +803.77 +1370.4 = 4308.67
There are 5280 feet per mile, so the route in miles is ...
(4308.67 ft)/(5280 ft/mi) ≈ 0.82 mi
Shorter route ABDEF will have a length of 0.82 miles.
Subtract - 2x – 10 from 10x2 + 3.
Answer:
Step-by-step explanation:
2x—33
5. Does the graph represent a function? *
1 point
Yes
O No
Answer:
No
Step-by-step explanation:
i did it on khan
When 3a + 7b > 2a - 8b is solved for a, the result is (A) a > -b (B) a -15b
Answer: 4
Step-by-step explanation:
Inequalities help us to compare two unequal expressions. When 3a + 7b > 2a - 8b is solved for a, the result is a>-15b.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
When the inequality 3a + 7b > 2a - 8b is solved, the solution will be,
3a + 7b > 2a - 8b
3a - 2a > -7b - 8b
a> -15b
Hence, When 3a + 7b > 2a - 8b is solved for a, the result is a>-15b.
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PlZ HELP WILL GIVE BRAINLIEST .....THANKYOU
Answer: 3/4
Step-by-step explanation:
Slope formula is y2-y1 / x2-x1 or in this case 7-4 / 1--3 which equals = 3/4
Answer:
m=3/4
Step-by-step explanation:
3 glasses and 3 mugs costs £18.
6 glasses and 4 mugs costs £32.
Find the cost of a glass.
Find the cost of a mug.
Glass: £
Mug: £
Step-by-step explanation:
Suppose the cost of one glass is x
The cost of one mug is y
according to question
[tex]\Rightarrow 3x+3y=18\quad \ldots(i)\\\\\Rightarrow 6x+4y=32\quad \ldots(ii)[/tex]
Solving [tex](i)\ \&\ (ii)[/tex] we get
[tex]\Rightarrow x=4\ \text{and}\ y=2[/tex]
So, the cost of each glass is £4
and cost of each mug is £2
2x-10>-14
Pls help ASAP pls
Answer:
the answer should be x>-2
Answer:
download photo math
Step-by-step explanation:
+!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
verify that 1,-1,-3 are the zeroes of the cubic polynomial x3+3x2-x-3 and check the relationship between zeroes and the coefficient
Answer: yea its 123445
Step-by-step explanation:
1,-1,-3 are the zeroes and the relationship between zeroes and the coefficient is verified.
What is a Polynomial?Polynomial, a mathematical expression made comprised of numbers and variables arranged in specific patterns.
As per the given data:
We are given the equation of a cubic polynomial x³ + 3x² - x - 3.
The zeroes of the given cubic polynomial are also given.
We have to verify that the zeroes of the cubic polynomial are correct, and they satisfy the relationship between zeroes and the coefficient.
For a polynomial p(x) is p(a) = 0 then a is a zero of p(x).
Checking the given zeroes similarly:
For 1:
1³ + 3(1)² - 1 - 3 = 0
1 + 3 - 1 - 3 = 0
0 = 0
1 is a zero
For -1:
(-1)³ + 3(-1)² - (-1) - 3 = 0
-1 + 3 + 1 - 3 = 0
0 = 0
-1 is a zero
For -3:
(-3)³ + 3(-3)² - (-3) - 3 = 0
-27 + 27 + 3 - 3 = 0
0 = 0
-3 is a zero
For ax³ + bx² + cx + d = 0, the sum of all the roots should be equal to
= (-b)/a
Similarly, for x³ + 3x² - x - 3:
1 + (-1) + (-3) = (-3)/1
1 - 1 - 3 = -3
-3 = -3
1,-1,-3 are the zeroes and the relationship between zeroes and the coefficient is verified.
Hence, 1,-1,-3 are the zeroes and the relationship between zeroes and the coefficient is verified.
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Write a mathematical expression for the word expression. Seven times a number plus one
Answer:
7x +1
Step-by-step explanation:
Liz and Rick are squeezing lemons for a lemonade stand. Liz squeezed 18 lemons in 6 minutes. Rick squeezed 24 lemons in 12 minutes. Who squeezed lemons at a faster pace?
A)liz
B)Rick
this is Compare rates: word problems please show and explain the work show WORK
A circle is the set of all points in a plane at a certain distance, its radius, from a certain point, its center.
Which of the following words in the definition is an undefined term used in geometry?
O point
radius
center
o distance
Answer: distance
Step-by-step explanation:
The rest of the words have actual accompanying definitions in geometry.
An undefined term used in geometry is the point.
An undefined term used in geometry?Three undefined concepts, or terms that don't need to be specified separately even though they are utilized to construct more intricate parts, are present in this case of Euclidean geometry.The three terms in geometry that aren't specified are:1. Point2.Line\s3. PlaneIn cartesian space, for example, a point cannot be defined specifically but can be utilized to define any triangle, line segment, or cube among other 2D or 3D objects. Similar to this, a line is nothing more than another arrangement of points that is used to define more intricate objects like a wire. While a plane is simply a group of lines arranged in a specific location and orientation, similar to a piece of land.
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21286272
A party rental company has chairs and tables for rent. The total cost to rent 6 chairs and 2 tables is 26$. The total cost to rent 3 chairs and 5 tables is 38$. What is the cost to rent each chair and each table?
Answer:
Chairs: 1.75 Tables: 8.50
Step-by-step explanation:
How much more does the 5-year loan cost overall than the 4-year loan?
Answer:
$600 overall
Step-by-step explanation:
Answer:
$600 more overall
Step-by-step explanation:
i'm great at math
Abu solved 231 multiplication problems. Later, he also solved 131 divison problems. How many more mutiplication problems than divison problems did Abu solve?
Angles A and Care supplementary. Find the measure of angle C.
There is a picture
Answer:
106 degrees
Step-by-step explanation:
180 -74 = 106
The second option is correct i.e. [tex]m[/tex]∠C = 106 degrees.
What are supplementary angles?Two angles are said to be supplementary angles when they add up to 180 degrees.
Two angles are supplementary, if
a). one of its angle is an acute angle and another angle is an obtuse angle.
b). both of the angles are right angles.
This means that if A and B are the two angles then
[tex]m[/tex]∠A+[tex]m[/tex]∠B = 180 degrees
According to the given question we have
angles A and C are supplementary
and, [tex]m[/tex]∠A = 74 degrees
therefore,
the measure of angle C is calculated as
[tex]m[/tex]∠A + [tex]m[/tex]∠C = 180 degrees (sum of the supplementary angles)
74 + [tex]m[/tex]∠C = 180 degrees ( [tex]m[/tex]∠A = 74 )
[tex]m[/tex]∠C = (180 - 74)degrees ( subtracting 74 degrees both the sides)
[tex]m[/tex]∠C = 106 degrees
Hence, second option is correct i.e. [tex]m[/tex]∠C = 106 degrees.
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please help
thank u!
can someone explain how i find the missing angle on this thing
Answer:
70°
Step-by-step explanation:
a + 90 + 20 = 180 {Angles in straight line}
a + 110 = 180
a = 180 - 110
a = 70
You are purchasing paint and paintbrushes
for an art project. Tubes of paint cost $6 each
and paintbrushes cost $8 each. You plan
on spending $60 and purchasing a total of
9 items. Which linear system best represents
the situation?
Answer:
(d) x + y = 9
6x + 8y = 60
Step-by-step explanation:
Which ordered pair is a solution to the following inequality? Select all that apply. y > 7x −3
A. (2, 12)
B. (-3, -15)
C. (0, -3)
D. (1, 5)
a 2 12
la respuesta
a (2 212
One of the local homeless shelters received a donation of 852 blankets to help support the homeless population during the harsh winter months. They plan on distributing them to all 7 of the local shelters. How many blankets will each shelter get? Will there be any leftover? If so, how many?
Answer:
Each shelter would get 121 blankets
And there would be 5 blankets left over
Step-by-step explanation:
One of the local homeless shelters received a donation of 852 blankets to help support the homeless population during the harsh winter months. They plan on distributing them to all 7 of the local shelters. How many blankets will each shelter get? Will there be any leftover? If so, how many?
From the above question
7 local shelters = 852 blankets
1 local shelters = x blankets
Cross Multiply.
7x = 852 blankets
x = 852 blankets/7
x = 121 5/7 blankets
Therefore, Each shelter would get 121 blankets
And there would be 5 blankets left over
can you guys help me?
y +3 = x
3x + 4y = 16
Step-by-step explanation:
y+3=x
or 0=x-y-3... ans
3x+4y=16
or, 3x+4y-16=0 answer.......
A T-Shirt cannon can launch 5 shirts in 20 minutes, how many can it launch in 60 minutes?
Answer:
15
Step-by-step explanation:
5 - 20
10 - 40
15 - 60
Answer:
15
Step-by-step explanation:
because if you double 20 two more times you get 60 so then had 5 three times you get 15
Write an equation in slope intercept form for the line that goes through points (1.4,0) and (1,-2)
6x - (4x – 9) = 25 – 9
-True
-False
Answer:
Step-by-step explanation:
6x-4x+9=25-9
2x=25-18
2x=7
x=3.5
6x-(4x-9)=25-9
6x-4x+9=25-9
2x+9=16
2x=7
x=3.5 so it is true when x=3.5
18/5 - 18/7 plz help!!!
Answer:
1 1/35 as a mixed number, exact answer is 36/35