Answer:
I think it's b.
Step-by-step explanation:
b. ,. ....
Construct a polynomial function with the following properties: fifth degree, 2 is a zero of multiplicity 4, −2 is the only other zero, leading coefficient is 3.
9514 1404 393
Answer:
p(x) = 3(x -2)^4(x +2) . . . in factored form
p(x) = 3x^5 -18x^4 +24x^3 +48x^2 -144x +96 . . . in standard form
Step-by-step explanation:
When a polynomial has a zero at x=p, it has a factor of (x -p). The exponent of the factor is the multiplicity of the zero. The product of factors can be multiplied by 3 to make the leading coefficient be 3.
p(x) = 3(x -2)^4(x -(-2))
= 3(x^4 +4(-2)x^3 +6(-2)^2x^2 +4(-2)^3x +(-2)^4)·(x +2)
= 3(x^4 -8x^3 +24x^2 -32x +16)(x +2)
= 3(x^5 -6x^4 +8x^3 +16x^2 -48x +32)
p(x) = 3x^5 -18x^4 +24x^3 +48x^2 -144x +96
solve for x: 2(3x +1)-4=6
Answer:
4/3 or 1.3333333...
Step-by-step explanation:
2 x (3x + 1)-4 = 6.
6x+2-4=6.
6x+2=10
6x=8.
X= 1.3333333... OR 4/3
Answer:
refer to the attachment
hope it helps
Solve the inequality for z-9< 15. Simplify your answer as much as possible.
Answer:
z < 24
Step-by-step explanation:
Does the point (–3, 4) satisfy the equation y = –2x + 5? Yes Or No
Answer:
No
Step-by-step explanation:
y = -2x + 5
4 = -2(-3) + 5 - Substitute both x and y
4 = 6 + 5 - Simplify
4 ≠ 11
Hence, no, (-3, 4) doesn't statify the equation y = -2x + 5
Which of the following are remote interior angles of angle 1? Check all that apply
A. <5
B. <2
C. <3
D. <1
E. <4
F. <6
Answer:
it will be 4 because it can't share it's vertex ✌
Convert the equation − x − 2 y = 8 from standard to slope-intercept form
Answer:
y = -1/2x - 4
Step-by-step explanation:
We have our equation in standard form: -x - 2y = 8. We can use simplifying rules to isolate y on one side of the equation and give us our y = mx + b format. I'll begin by adding x to both sides.
-x - 2y = 8
-2y = x + 8
Now that we have y on one side, we can divide everything by -2.
-2y/-2 = x/-2 + 8/-2
y = -1/2x - 4
That looks like y = mx + b form.
If you have any further questions or need clarification on anything, let me know!
GIVING BRAINLIEST AND 20 points!
Please answer this question I will give you brainliest if you answer
WITH A STEP BY STEP explanation
Sorry for the caps but just want to make it clear if u want brainliest you gatta do that
Answer:
The answer is 27
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2(3y+6+3)=196−16
(2)(3y)+(2)(6)+(2)(3)=196+−16(Distribute)
6y+12+6=196+−16
(6y)+(12+6)=(196+−16)(Combine Like Terms)
6y+18=180
6y+18=180
Step 2: Subtract 18 from both sides.
6y+18−18=180−18
6y=162
Step 3: Divide both sides by 6.
6y
/6
=
162
/6
y=27
A ball is thrown vertically upward from the top of a 100-foot tower, with an initial velocity of 20 ft/sec. Its position function is s(t) = -16t^2 + 20t + 100. What is its velocity in ft/sec when t = 1 second?
The velocity of the ball in ft/sec, when t = 1 second is equal to -12 ft/sec.
Given the following data:
Displacement = 100 feetTime = 1 secondsPosition function = [tex]s(t) = -16t^2 + 20t + 100[/tex]To calculate the velocity of the ball in ft/sec, when t = 1 second:
Mathematically, the velocity of an object or physical body is equal to the differentiation of it's position function.
Velocity = s'(t)
Velocity = [tex]s(t) = -16t^2 + 20t + 100[/tex]
[tex]Velocity = -32t + 20[/tex]
Substituting the value of time (t), we have:
[tex]Velocity = -32(1) +20\\\\Velocity =-32+20[/tex]
Velocity = -12 ft/sec
Read more: https://brainly.com/question/8898885
The product of a number
X and 40
A.X-40
B. X+40
C 40x
D. X/40
Answer:
C
Step-by-step explanation:
Hi please help me i need it
Answer:
for perimeter, you add all of the sides except the height which is 19. It's means that you add all of the numbers except 19
VWrite the cubic polynomial function f(x) in expanded form with zeros −6, −5, and −2, given that f(−1)=40
This is an interesting problem. The underlying solution is to solve a system of equations.
First we need to define what's a cubic polynomial function :
f(x) = [tex]ax^{3}+bx^{2}+cx+d[/tex], where a,b,c,d are constant values.
We assume from the problem that f(-1) = 40, and that the zeros of our unknown function are -6,-5 and -2.
This gives us a system of equation to solve :
[tex]-216a +36b-6c+d=0\\-125a+25b-5c+d=0\\-8a+4b-2c+d=0\\-a+b-c+d = 40\\[/tex]
Good luck
Jasmine frames a portrait to hang in her bedroom. The length of the frame measure 4.5 feet and the frame has a perimeter of 16 feet. Write an equation that can be used to determine w, the width of the frame.
Find the width of the picture frame. Show all work.
Answer:Because
Step-by-step explanation:
Ima teacher
What two numbers multiply to equal 20 but when added equal 12
Answer:
Two and ten.
Step-by-step explanation:
Answer:
2 and 10
Step-by-step explanation:
2 +10 = 12
And 2×10 = 20
At the bus station, buses depart a rate if 3 every 10 minutes. At the rate, how many buses would you expect to depart in one one hour?
A. 6
B. 15
C. 18
D. 30
Answer:
C.18
Step-by-step explanation:
at the rate 18 buses would have departed
Find The Size Of Angle AED
(Explain How)
[tex] - 110 \: degree[/tex]
A quart of water weighs 2 pounds.how much do 1.5 gallons of water weigh?
Answer:
12 pounds
Step-by-step explanation:
gallon equals 4 quarts
1.5*4 equals 6
6 quarts times 2 pounds =2
Cookies are on sale! Today each cookie costs $0.75 less than the normal price, Right now if you buy 7 of
them it will only cost you $2.80
Write an equation to determine the normal price of each cookie (c),
Find the normal price of each cookie,
Answer:
2.80$ dived by 7 to get 40 cents each on sale. add 75 sents to each cookie. 40 plus 75 in cents. your left with 1.15$ per cookie. 1.15 times 7 is 8.05
Step-by-step explanation:
Answer:
The normal price of each cookie is n = c = $1.15.
Step-by-step explanation:
Represent the normal cookie price by n.
Then the sale price today is n - $0.75 each, and so 7 cookies will cost you 7(n - $0.75), or $2.80, or, as an equation, 7(n - $0.75), or $2.80.
We simplify this equation by dividing both sides by 7, which results in:
n - $0.75n = $0.40.
Combining like terms, we get
n = $1.15
The normal price of each cookie is n = c = $1.15.
What’s a reasonable domain for V(x)=x(11-2x)(17-2x)
Answer:
(-∞ , ∞) -∞ < x < ∞
Step-by-step explanation:
function has no domain constraint
The domain of the expression is all real numbers except where the expression is undefined.
The given function is v(x)=x(11-2x)(17-2x).
What is domain and range of the function?The B and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively. For example, if the relation is, R = {(1, 2), (2, 2), (3, 3), (4, 3)}, then:
Domain = the set of all x-coordinates = {1, 2, 3, 4}
Range = the set of all y-coordinates = {2, 3}
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:(−∞,∞)
Set-Builder Notation:{x| x∈ R}
Therefore, the domain of the expression is all real numbers except where the expression is undefined.
To learn more about the domain and range visit:
brainly.com/question/28135761.
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How many cherries tomatoes does he need?
1 Large Salad uses 10 cherry tomatoes.
1 Small Salad uses 6 cherry tomatoes.
Jorge wants to make 6 large salads: 6 x 10 = 60 cherry tomatoes for the large salads.
4 small salads: 4 x 6 = 24 cherry tomatoes.
Now we add them together to find the total amount: 60 + 24 = 84 Cherry Tomatoes.
I hope this has helped! :)
Answer:
He needs 84 cherry tomatoes.
Step-by-step explanation:
6 * 10 = 60 cherry tomatoes
6 * 4 = 24 cherry tomatoes
60 + 24 = 84 cherry tomatoes
Hope this helps!
I will give Brainliest :)
Answer:
Step-by-step explanation:
solve pls Brainliest
Answer:
25
Step-by-step explanation:
155-180=25 degrees
Answer:
x = 25°
Step-by-step explanation:
Can Pi be written as a fraction?
Answer:
no
Step-by-step explanation:
1. Pi is an irrational number, and irrational numbers CANNOT be written as a fraction. Pi is a non-repeating, non-terminating decimal number.
2. While 22/7 and 3.14 is often used as a value for pi, these are just approximations, so they're not completely exact.
4. The effects of a certain anesthesia on patients is modeled by the rational function listed below. The
constants A and B are determined by factors such as body mass, age, etc. Suppose a patient who is
about to undergo surgery requires the constants to be A=36 and B=9. If t represents the number of
hours from the time the anesthesia enters the blood stream, and the function describes the percent
concentration needed for the anesthesia to be effective; how long can a surgery take if the percent
concentration needed for the patient to be sedated but not dead is between 4 and 6 percent? Explain
your reasoning and how you found your solution.
Model:C(t)= At/T^2+B
Answer: you will need 10
Step-by-step explanation:
I had the same problem on my hw this is what i got tell i think its correct:
Edit:
C(t)=At/T^2+B
a=36
b=9
t= how long it takes to enter blood stream
c=36/t^2 + 9
I found T to be 6 becuase I searched it up so
36/6^2=36/36=1
c=9+1
C=10
New awnser is 10
Which of the following satisfies 3x+1=4(mod9)
Answer:
X=1
Step-by-step explanation:
3x+1=4
3x=4-1
3x=3
x=1
help for brainliest and good luck
18 is the correct answer
Calvert Math assinment
Answer:
I dont understand ur question
Help me please help me help please
Answer:
4
Step-by-step explanation:
-4/-1 = 4
Jenna buys an item with a normal price of $70, and uses a 40% off coupon.
Answer:
Jenna paid $42.00
Step-by-step explanation:
$70-40%=28.00
70-28=42
The perimeter of a rectangular window is 264 cm.
If the width of the window is 56 cm, what is its length?
Answer:
length = 76 cm
Step-by-step explanation:
The perimeter = (2 × width) + (2 × length)
264 = (2×56) + (2 × length)
264 = 112 + (2 × length)
264 - 112 = 2 × length
152 = 2 × length
152/2 = length
76 = length
length = 76 cm
What is the measure of <1
1. 80
2. 40
3. 160