Answer:
109 is 63% of 173.02
Step-by-step explanation:
Let 109 = 63% of x
Thus;
63/100 * x = 109
63x = 10900
x = 10,900/63
x = 173.02
Find a polynomial function with leading coefficient 1 that has the given zeros, multiplicities, and degree. Zero: 2, multiplicity: 3 Zero: 0, multiplicity: 2 Degree: 5
Given:
Zero: 2, multiplicity: 3
Zero: 0, multiplicity: 2
Degree: 5
Leading coefficient = 1
To find:
The polynomial function.
Solution:
The general form of a polynomial is
[tex]P(x)=a(x-c_1)^{m_1}(x-c_2)^{m_2}...(x-c_n)^{m_n}[/tex]
where, a is a constant, [tex]c_1,c_2,...,c_n[/tex] are zeroes with multiplicity [tex]m_1,m_2,...,m_n[/tex].
Using the given information and the general form of a polynomial, we get
[tex]P(x)=a(x-2)^{3}(x-0)^{2}[/tex]
[tex]P(x)=ax^2(x^3-6x^2+12x-8)[/tex]
[tex]P(x)=a(x^5-6x^4+12x^3-8x^2)[/tex]
Leading coefficient is 1, so the value of a is also 1.
[tex]P(x)=1(x^5-6x^4+12x^3-8x^2)[/tex]
[tex]P(x)=x^5-6x^4+12x^3-8x^2[/tex]
Therefore, the required polynomial is [tex]P(x)=x^5-6x^4+12x^3-8x^2[/tex].
The polynomial for the conditions with leading coefficient 1 that has the given zeros, multiplicities, and degree. Zero: 2, multiplicity: 3 Zero: 0, multiplicity: 2 Degree: 5 is given as
[tex]\rm\bold{ y(x) = 1\times (x-2)^3(x-0)^2 }[/tex]
According to the given condition
The given conditions to write the polynomial equations are as follows
Zero 2 and Multiplicity 3
Zero 0 and Multiplicity 2
Degree of polynomial expression = 5
Leading coefficient of polynomial expression = 1
Let us consider the polynomial equation has only one variable and hence in general form we can write the equation of polynomial as follows
[tex]\rm y (x) = a(x-\alpha)^m (x-\beta)^n........(1)\\Where \\a = Leading \; coefficient\; of\; polynomial\; expression \\\alpha ,\beta = Roots \; of \; the\; polynomial\; expression\\m\; and \; n \; are \; multiplicities \; of \; the \; roots \; \alpha,\beta \; respectively\\Degree = m+n[/tex]
From the general form of polynomial expression as shown in equation (1) we can write
Polynomial expression for the given conditions is formulated in equation (2)
[tex]\rm y(x) = 1\times (x-2)^3(x-0)^2 .......(2)[/tex]
So the polynomial for the conditions given in question is expressed as
[tex]\rm\bold{ y(x) = 1\times (x-2)^3(x-0)^2 }[/tex]
For more information please refer to the link given below
https://brainly.com/question/15301188
Can someone teach me how to do this im a good learner i just missed days
Ricky bought a jacket for $52.00. If the sales tax is 9.5%, how much did he pay in total?
A.$4.94
B.$61.50
C.$49.40
D.$56.94
Answer:
D. $56.94
Step-by-step explanation:
52 * 0.095 = 4.94
Add $52 + $4.94
Sushil was thinking of a number. Sushil divides by 7, then adds 12 to get an answer of 10. What was the original number?
Answer:
x=-14
Step-by-step explanation:
think the number is x
According to the question
x/7+12=10
=>x+84=70 (multiply both side by 7)
=>x=70-84
x=-14
What is the prime factorization of 144? Be sure to show your strategy.
Answer:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144. Prime factorization: 144 = 2 x 2 x 2 x 2 x 3 x 3, which can also be written 144 = (2^4) x (3^2)
Step-by-step explanation:
What is the percent of change from 70 to 14?
Answer:
80%
Step-by-step explanation:
70-14=56
56/70=80%
suppose 30% out of 500 students play an instrument describe one way to find 30% out of 500
Answer:
Multiply 500 by 0.30
Step-by-step explanation:
30% = 0.30 In Decimal Form
Multiply
500x0.30=150
150 Is 30% Of 500
can someone help me with prombelm number 2
Answer:
Work shown below!
Step-by-step explanation:
2. [tex]g(x)=\frac{1}{2}x+5[/tex]
[tex]g(4) =\frac{1}{2}*\frac{4}{1} +5= 2+5=7[/tex]
[tex]g(-10)=\frac{1}{2}*\frac{-10}{1}+5=-5+5=0[/tex]
[tex]g(0)=\frac{1}{2} *\frac{0}{1} +5=0+5=5[/tex]
What is the result of subtracting the second equation from the first?
-2.1 + y = 0
- 7+ + 3y = 2.
Marissa knits caps that she supplies to several baby stores. She purchases five bundles of yarn for $62.50. Select the
quantities that would best help determine how many bundles of yarn she will need per month to knit caps.
ОА. .
amount of yarn needed for each cap and number of caps knitted in a month
OB. cost to produce each cap and price per bundle of yarn
OC. number of caps knitted in a month and cost to ship the caps to each store
OD. price per bundle of yarn and amount of yarn needed for each cap
Answer:
I think OA because you would need to know how much yarn for each cap and how many caps she will make
A tv costs £800 plus VAT at 20%.
What is the total cost of the TV?
Answer:
Step-by-step explanation:
800+20%
20%= (20/100)
800/100=8*20=160
add to original price= 800+160=960
Please answer correctly !!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!
Answer:
∠KNC = 99°
Step-by-step explanation:
∠JNM + ∠KNC = 180 (it is a straight line)
∠KNC = 180 - ∠JNM
∠KNC = 180 - 81
∠KNC = 99°
Answer: 99°
Step-by-step explanation: They are supplementary so 180 - 81 = 99
Ms. Forestal is purchasing greeting cards in preparation for the upcoming winter holidays. At Store A she can get 3 greeting cards for $15.00. At Store B, she can get 6 greeting cards for $24. Which is the better buy?
Answer:
store B
Step-by-step explanation:
three more than the quotient of a number and 7 is at most 92. Find the number
Answer:
The number is 623.
Step-by-step explanation:
[tex]\frac{x}{7}+3 =92\\\frac{x}{7} =89\\x=623[/tex]
Which line below is parallel to the line that y = 1/2x - 2?
A) y = 1/2x + 2
B) y = -1/2x + 2
C) y = 1/2 - 2x
D) y= 1/2 + 2x
Answer:
The answer is b
Step-by-step explanation:
Bc it is just basicly the x and y axis
State if the given functions are functions
Can someone help me please
This is the problem ......
Answer:
4/18
Step-by-step explanation:
what is a domain in math?
Answer:
"In mathematics, the domain or set of departure of a function is the set into which all of the input of the function is constrained to fall."
Step-by-step explanation:
Please help
Please help please
dbhzhxgushshebnxjxjkxdhxhdh bdbdhxjdnbdbdb
PLEASE HELP WITH THE PIC
Why are they parallel?
Answer:
a and d are parallel
Step-by-step explanation:
Which expression is equivalent to 9q2-(3q - 7) +5q??
) ?
3
[tex]9q^2-(3q - 7) +5q= \\\\=9q^2-3q + 7 +5q= \\\\=9q^2+2q + 7[/tex]
Work out the size of x
Answer:
They are supplementary angles so they add up to make 180°
So you do the reverse
180°-100°=x
80°=x
Step-by-step explanation:
Please give me brainliest
LM is the midsegment of trapezoid ABCD. If AB = 46 and DC = 125, what is LM?
Answer:
LM = 85.5
Step-by-step explanation:
B1 + B2/2
46 + 125/2
LM = 85.5
8. Given: GI +JL, GH = KL
Prove: HI~=JK
Answer: the length of GH is half the length of KL
Step-by-step explanation: edge 2021
there is a certain number. If you add 30 7 to it, then subtract 22 7 from the previous result, and then subtract that difference from 59/7, after that you will get 19 7. What is a certain number?
Step-by-step explanation:
59 / 7 - ( x + 30 / 7 - 22 / 7 ) = 19 / 7
59 / 7 - ( x + 8 / 7 ) = 19 / 7
59 / 7 - x - 8 / 7 = 19 / 7
- x = 19 / 7 - 59 / 7 + 8 / 7
- x = - 32 / 7
x = 32 / 7
Solve the system below:
10x + y = 22
2x + x = -2
Answer:
x=negative 2/3,y= positive 86/3
Step-by-step explanation:
Help me due in 5 minutes HELP ASAP
Answer:
J.
Step-by-step explanation:
It crosses through (0,0) and has a slope of 2.5 or rather 5/2 because when the x value is at 4 the y value is at 10 that simplifies to 5/2 or 2.5.
I need help pls !!!!!