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
I have more question then this one
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
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.
A landowner recently sold a large plot of land. The sale decreased his total acreage by 12%. Let v be the original acreage.
a. Write two equivalent expressions that represent the new acreage.
Answer:
.88v or [tex]\frac{22}{50}[/tex]v
Step-by-step explanation:
Answer:
Step-by-step explanation:
Link is needed
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
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
help for brainliest and good luck
18 is the correct answer
Solve the inequality for z-9< 15. Simplify your answer as much as possible.
Answer:
z < 24
Step-by-step explanation:
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
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.
Calvert Math assinment
Answer:
I dont understand ur question
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 ✌
solve pls Brainliest
Answer:
25
Step-by-step explanation:
155-180=25 degrees
Answer:
x = 25°
Step-by-step explanation:
Find The Size Of Angle AED
(Explain How)
[tex] - 110 \: degree[/tex]
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!
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!
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
list five rational numbers between -1 and 0
Answer:
-1 ,-1/2 , -3/4 , -1 /4, -5 / 8 , -7 / 8 , -13 / 16, 0.
Step-by-step explanation:
What is the length of BC?
A.7
B.12
C.13
D.17
E V60
F. V119
Answer:
c. 13
Step-by-step explanation:
c²=a²+b²
c²=5²+12²
c²=169
c=13
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
pls solve the photo?
Answer:
8. B
9. D
Step-by-step explanation:
I think this is right if I'm not mistaken ..
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:
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
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
James has $10 less than three times the amount Amy has. Which expression represents James' amount if Amy has d dollars?
Answer:
james has 3d-10
Step-by-step explanation:
Amy has d dollars
james has 10 less than 3 times Amy's amount
so the answer will be 3d - 10
hope it helps : )
The expression that represents James' amount is 3d - 10. Then the correct option is A.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
A sentence-to-equation translation is a process of turning a given statement into an expression or equation.
James has $10 less than Amy, who has three times as much money.
Let d be the amount Amy has. Then the expression is given as,
⇒ 3d - 10
The expression that represents James' amount is 3d - 10. Then the correct option is A.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ5
The missing options are given below.
a) 3d - 10
b) 10 - 3d
c) 3d - 30
d) 30 - 3d
Translate this sentence into an equation.
70 is the product of Han's savings and 5.
Use the variable h to represent Han's savings.
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
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