Answers
Given:
The function is
[tex]f(x)=(x+3)^2(x-5)^6[/tex]
To find:
The zeros of the given function.
Solution:
The general form of polynomial is
[tex]P(x)=a(x-c_1)^{m_1}(x-c_2)^{m_2}...(x-c_n)^{m_n}[/tex] ...(i)
where, a is a constant, [tex]c_1,c_2,...,c_n[/tex] are zeros of respective multiplicities [tex]m_1,m_2,...,m_n[/tex].
We have,
[tex]f(x)=(x+3)^2(x-5)^6[/tex]
On comparing this with (i), we get
[tex]c_1=-3,m_1=2[/tex]
[tex]c_2=5,m_2=6[/tex]
It means, -3 is a zero with multiplicity 2 and 5 is a zero with multiplicity 6.
Therefore, the correct option is B.
Related Questions
A circle with center (-1, 2) and radius of 8 has the equation:
PLEASE HELP AND EXPLAIN YOUR ANSWER
I'LL GIVE BRAINLIEST
Answers
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the vertex
So applying the equation we get the fourth or final answer at the bottom or
(x+1)^2 + (y-2)^2 = 64
Which one can it , it be correct I’ll give brainlist
Answers
Answer:
i can't see the number clearly
Divide the polynomials.
25 points!!!!! right answer get's brainliest
Answers
Answer:
x - 2
Step-by-step explanation:
[tex] \frac{ {x}^{2} - 12x + 20}{x - 10} \\ \\ = \frac{ {x}^{2} - 10x - 2x + 20 }{x - 10} \\ \\ = \frac{x(x - 10) - 2(x - 10)}{(x - 10)} \\ \\ = \frac{(x - 10)(x - 2)}{(x - 10)} \\ \\ = x - 2[/tex]
H(x)= ⎩ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎧ x−5 1 −(x−4) 2 3x−2 , , , x=0 x=7 x =0,7 h(6)=h(6)=h, left parenthesis, 6, right parenthesis, equals
Answers
Answer:
h(6)=16
Step-by-step explanation:
khan
what is the slope of 4x + 4y = 8?
Answers
Answer:
m=-1
Step-by-step explanation:
4x-8=-4y
x-2=-y
-x+2=y
Answer:
m=-1
Step-by-step explanation:
It is easiest to put the equation into slope-intercept form first.
4x+4y=8
4y=-4x+8
y=-x--2
The slope of the line is -1
a) Ava made some money babysitting last week. She
made twice that this week, but spent $5 of it on a sno-
ball. Thus, she only has $75 left from this week. How
much money did she make from babysitting last week?
Equation
Solve and answer:
Answers
Please help offering 15 points
Answers
22=-2x+4(-4x-17)
solve for x pls
Answers
Answer:
x=-5
Step-by-step explanation:
22=-2x+4(-4x-17)
We move all terms to the left:
22-(-2x+4(-4x-17))=0
We calculate terms in parentheses: -(-2x+4(-4x-17)), so:
-2x+4(-4x-17)
We multiply parentheses
-2x-16x-68
We add all the numbers together, and all the variables
-18x-68
Back to the equation:
-(-18x-68)
We get rid of parentheses
18x+68+22=0
We add all the numbers together, and all the variables
18x+90=0
We move all terms containing x to the left, all other terms to the right
18x=-90
x=-90/18
x=-5
Answer:
Step-by-step explanation:
22 = -2x + 4(-4x - 17)
22 = -2x + 4*(-4x) - 4*17
22 = -2x - 16x - 68 {Combine like terms}
22 = -18x - 68 {Add 68 to both sides}
22 + 68 = -18x
90 = -18x {Divide both sides by (-18)
90/-18 = x
x = -5
In the first 8 overs the bowling rate of a cricketer is 4.5, In the last two over by giving how much run the bowling rate will be 5?
Answers
Answer:
In the last two overs, the bowler gave 14 runs.
Step-by-step explanation:
The bowling rate of 4.5 in the first 8 over means he gave 32.5 runs.
i.e.
Score given in first 8 overs = 4.5 × 8 = 36
Given that the bowling economy 5 at the end of 10 overs means the bowler must have given 10 × 5 = 50 score in the total 10 overs.
so, subtract 36 from 50 to get the score he will be giving in the last two overs.
i.e. score given the last two overs = 50 - 36 = 14
Therefore, in the last two overs, the bowler gave 14 runs.
Jessica needs 233 feet of wood to build a fence the word comes in length of 11 feet how many pieces of wood should Jessica by Samuel needs twice as many feet as Jessica how many pieces of wood does Samuel need
Answers
Given :
Jessica needs 233 feet of wood to build a fence the word comes in length of 11 feet.[tex]N= 21\times 2[/tex]
To Find :
How many pieces of wood should Jessica by Samuel needs twice as many feet as Jessica how many pieces of wood does Samuel need.
Solution :
Total number of pieces of wood Jessica needs is :
[tex]n = \dfrac{233}{11}\\\\n = 21.18[/tex]
Since number of pieces cannot be negative.
So, n = 21
It is given that Samuel needs twice as many feet as Jessica need.
So,
N = 21 × 2 = 42
Therefore, Samuel needs 42 pieces of wood.
Determine any data values that are missing from the table, assuming that the data represent a linear function. (graph in picture)
Answers
Answer:
4
Step-by-step explanation:
x + 1 = y
3 + 1 = 4
answer needs to be 20 character long so this is filler
Convert 9 months into days
Answers
Answer:
273.75
Step-by-step explanation:
Help Pls Fast! (55 POINTS!)
Answers
Answer:
Close to 6 miles. Exact is between 5.7 and 6
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
In 2010, Carlos purchased a car whose value y, after x years is given by y = 6,750(0.82) What is the correct interpretation of 0.82 in this equation?
0
А
There will be an 18% decrease in y annually.
B
There will be an 82% decrease in y annually.
С
There will be an 18% increase in y annually.
D
There will be an 82% increase in y annually.
Answers
Answer: the correct answer is a.
Step-by-step explanation:
7th grade math help me please :)))
Answers
Answer:
$284.99 should go to Mr. Aceves’ class, $174.41 should go to Mrs. Baca’s class, and $140.60 should go to Mr. Canyon’s class.
Step-by-step explanation:
Firstly, to calculate the portions each class should have, we should find the proportion each class takes up.
Hence, let's say A represents Mr. Aceves' class, B represents Mrs. Baca's class, and C represents Mr. Canyon's class.
The total number of box tops collected would be 3760 + 2301 + 1855 = 7916 box tops.
Therefore, the total proportions would be:
A = [tex]\frac{3760}{7916}[/tex]
B = [tex]\frac{2301}{7916}[/tex]
C = [tex]\frac{1855}{7916}[/tex]
Hence, we can finally multiply these proportions with the total prize to find the appropriate division:
Mr. Aceves' class gets [tex]\frac{3760}{7916} \cdot 600 \approx 284.99[/tex].
Mrs. Baca's class gets [tex]\frac{2301}{7916} \cdot 600 \approx 174.41[/tex].
And Mr. Canyon's class gets [tex]\frac{1855}{7916} \cdot 600 \approx 140.60[/tex].
Finally, $284.99 should go to Mr. Aceves’ class, $174.41 should go to Mrs. Baca’s class, and $140.60 should go to Mr. Canyon’s class.
Hope this helped!
what s the answer giving brainliest hehe
Answers
Answer: B.
Step-by-step explanation: B is the only option that provides the division symbol.
What is (-i)16?
A. i
O B. 1
O C. -;
O D. -1
Answers
Solve for x. 1/2x + 18 = 1/4x - 6
Answers
Answer:
x = -96
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
1/2x + 18 = 1/4x - 6
Step 2: Solve for x
Subtract 1/4x on both sides: 1/4x + 18 = -6Subtract 18 on both sides: 1/4x = -24Divide 1/4 on both sides: x = -96gimme ur help plzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answers
Answer:
A. (-2, -4)
Step-by-step explanation:
Substitution Method
3x + 2 = -2x - 8
5x = -10
x = -2
y = 3x + 2
y = 3 (-2) + 2
y = -4
(x, y) = (-2, -4)
Can somebody help me with this question, please? I have no idea how to do this or find the answer. :/ How many ways are there to choose a number from the set {−96, −48, −42, −36, −18, −14, −6, 14} that is divisible by either 6 or 8?
Answers
Answer:
28 different ways
Step-by-step explanation:
This is a combination question. Combination has to do with selection.
Total number of element in the set = 8
Number divisible by 6 or 8 are {-98, -48, -42, -36, -18, -6}
Total number divisible by 6 or 8 is 6
The number of ways we can choose 6 items from 8 is expressed as;
8C6 = 8!/(8-6)!6!
8C6 = 8!/(2)!6!
8C6 = 8*7*6!/2!6!
8C6 = 8*7/2
8C6 = 56/2
8C6 = 28 ways
Hence there are 28 different ways
Susan is going to have a party
There will be 50 people at the party
Susan wants to buy enough sausages so that each person at the part can have 2 sausages
There are 8 sausages in each pack
Susan buys 12 packs of sausages
Has she bought enough sausages?
Answers
The graph below shows a system of equations:
The x-coordinate of the solution to the system of equations is
Answers
Answer:
solution is (-2, 2) so x-coordinate of solution is -2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
First, we have to write down both equations.
y = x + 4
3y = -2x + 2
Now we already have an equation that we can plug into the other equation.
= 3(x + 4) = -2x + 2
= 3x + 12 = -2x + 2
= 5x + 12 = 2
= 5x = -10
x = -2
Now we know that x = -2, and the question asks for the x-coordinate, which is -2.
2×2=
Have a nice night.
Answers
Answer:
4
Step-by-step explanation:
What are the steps for this equation: -5x-16 = -10x-11?
Answers
Answer:
x=1
Step-by-step explanation:
-5x-16=-10x-11
+10x +10x
5x-16=-11
+16 +16
5x=5
5x/5 = 5/5
x=1
A line that passes through the point -4, -3 and 2,6
Answers
Answer:
The equation is;
2y = 3x + 6
Step-by-step explanation:
We start by calculating the slope of the line
m= y2-y1/x2-x1
m = (6+3)/(2+ 4) = 9/6 = 3/2
The point slope form would be;
y-y1 = m(x-x1)
Let us use the point (-4,-3)
Thus, we have
y + 3 = 3/2(x+ 4)
2y + 6 = 3x + 12
2y = 3x + 12-6
2y = 3x + 6
hiya, I kinda need help I'll be grateful if chu can help uwu
Which formula would you use when you are looking for the slope of a line and given two points on the line?
A.
point-slope formula
B.
slope formula
C.
slope formula and point-slope formula
D.
slope-intercept formula
Answers
Answer:c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Use the slope formula to find the slope of a line given the coordinates of two points on the line. The slope formula is m=(y2-y1)/(x2-x1)
What is the equation of the line shown in the graph below
Answers
Answer: y=-2x+2
A student solved z + (-0.72) = -2.5 for z using the
following steps.
Step 1: Z + (-0.72) + (-0.72) = -2.5+ (-0.72)
z = -2.5+ (-0.72)
Step 2:
Step 3:
z = -3.22
What was the student's error?
Answers
Answer:
Mistake in step1Step-by-step explanation:
Given
z + (-0.72) = -2.5Solving in steps
1. ⇒ z + (-0.72) - (-0.72) = -2.5 - (-0.72)2. ⇒ z = - (2.5 - 0.72)3. ⇒ z = - 1.78The student's mistake was adding (-0.72) instead of - (-0.72) or 0.72
Answer:
To solve, you must use the inverse operation. In step 1, -0.72 should have been subtracted from both sides, not added. Otherwise, 0.72 should have been added to both sides, not -0.72.
Step-by-step explanation:
ANSWER ASAP!
Taylor earned the following amount each day.
• one dollar of the first day
• three dollars on the second day
• nine dollars on the third day
• twenty-seven dollars on the fourth day
Which function represents Taylor's daily earnings as a function of the number of days, t?
A f(x) = 3+1
B f(x) = 3
f(x) = 3t
D f(x) = 3-1
Answers
Answer:
f(t) = 3^(t - 1)Step-by-step explanation:
one dollar of the first day = 3^0three dollars on the second day = 3^1 nine dollars on the third day = 3^2twenty-seven dollars on the fourth day = 3^3Numbers increase 3 times a day, it is an exponential function, powers of 3
The function is going to be:
f(t) = 3^(t - 1)Options are not clear, it seems to be D
Compute the following: StartFraction 7 factorial Over 3 factorial EndFraction a. 1680 b. 840 c. 21 d. 4
Answers
Answer:
B. 840
Step-by-step explanation:
Answer:) B
Step-by-step explanation: