Answer: 2 5/12
Step-by-step explanation:
which statements are true about the polynomial function?
f(x)=x^3+5x^2+6x
Statements given in the Options (3) and (4) are the correct.
Polynomial function given in the question is,
f(x) = x³ + 5x² + 6x
Check all the options whether they are true or false.
Option (1)
f(x) = 0 at x = 2,
Substitute the value x = 2 in the polynomial.
f(2) = (2)³ + 5(2)² + 6(2)
= 8 + 20 + 12
= 40
False.
Option (2)
(x + 2) is a factor of f(x).
If it's true, f(x) = 0 will be true for x = -2
Substitute x = -2 in the function,
f(-2) = (-2)³ + 5(-2)² + 6(-2)
= -8 + 20 - 12
= -20 + 20
= 0
True.
Option (3)
f(-2) = 0
f(-2) = (-2)³ + 5(-2)² + 6(-2)
= -8 + 20 - 12
= 0
True.
Option (4)
f(x) divided by (x - 2) has a remainder of 0.
x - 2)x³ + 5x² + 6x(x² + 7x
x³ - 2x²
7x² + 6x
7x² - 14x
20x
Here, remainder is (20x).
False.
Therefore, Options (3) and (4) are correct.
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what is 8/3y=5/6x-2 in standard form?
Answer:
Y=5/16x -3/4
Step-by-step explanation:
3/8 * 8/3y=(5/6x -2) *3/8
y=5/16x - 3/4
The standard form of the equation is 5x -16y = 2.
It is required to find the standard form.
What is arithmetic?Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
According to given question we have,
The least common multiple of the fraction denominators is 6. Multiplying by that gives
16y = 5x -2
We can put this in standard form by adding 2-16y to both sides.
5x -16y = 2
Therefore, the standard form of the equation is 5x -16y = 2.
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-3x + 9 = -3(2x + 3)+3(x-4)+1 how many solutions dos his equation have
Answer:
The answer is no solution or 0 solutions
Step-by-step explanation:
-3x + 9 = -3(2x + 3)+3(x-4)+1
−3x+9=−6x−9+3x−12+1
−3x+9=−3x−20
9=−20
no solution
2) Suppose 120 people are surveyed and asked about their eating habits. 50 people
stated that they like Raising Cane's chicken fingers, 80 people said that they like
Layne's chicken fingers. If 10 people don't like either, then...
a) What is the probability that someone surveyed likes both Raising Cane's and
Layne's chicken fingers?
Answer:
1/6
Step-by-step explanation:
Given that :
Total surveyed (u) = 120
n(Cane's chicken fingers) = 50
n(Layne's chicken fingers) = 80
n(do not like either) = 10
a)
What is the probability that someone surveyed likes both Raising Cane's and Layne's chicken fingers?
n(Cane's n Layne's) = 20
u = 120
P = required outcome / total possible outcomes
P(Layne's and Cane's chicken) = [n(Cane's n Layne's)/ u]
= 20 / 120
= 1/6
If 4 is added to double the number n, the result is the same as
if n were quadrupled. What is the value of n?
(A) 2
(B) 4
(C) 6
(D) 8
(E) 10
Answer:
A) 2
Step-by-step explanation:
For this problem, you can create an equation.
2n+4=4n
Then, divide by 2.
n+2=2n
Finally, subtract n from both sides.
2=n
x2y4(x2 - 16) - 9y4(x4 - 16)
simplify
Step-by-step explanation:
given the expression
[tex]x^22y^4(x^2 - 16) - 9y^4(x^4 - 16)[/tex]
we proceed by opening the brackets
[tex]x^2y^4(x^2 - 16) - 9y^4(x^4 - 16) \\\\x^4y^4-16x^2y^4-9x^4y^4+144y^4\\\\[/tex]
collet like terms we have
[tex]x^4y^4-16x^2y^4-9x^4y^4+144y^4 \\\\x^4y^4-9x^4y^4-16x^2y^4+144y^4 \\\\8x^4y^4-16x^2y^4+144y^4[/tex]
factoring we have
[tex]8x^4y^4-16x^2y^4+144y^4\\\\8y^4(x^4-2x^2)+144y^4[/tex]
plz help me it du within 30 minutes
Answer:
b. $5.20
pls give me brainlist
4 x + 6 < − 6...............................................................
Answer:
x < - 3
Step-by-step explanation:
Given
4x + 6 < - 6 ( subtract 6 from both sides )
4x < - 12 ( divide both sides by 4 )
x < - 3
Which is the best approximation for sqrt 55
A) 7
B) 7 2/5
C) 7 7/15
D) 8
What is another way to write: 2-(-2)
Answer:
2+2
Step-by-step explanation:
Two negatives together make a positive.
Answer:
2+2
Step-by-step explanation:
A positive minus a negative is a positive. Think of the two minus signs turning in to one plus sign.
Solve for y
w= x-y/2-z
Answer:
Step-by-step explanation:
2
What is -4x<8. I’m a little confused.
Answer:
x > -2
Step-by-step explanation:
While shopping at a music store, Rick bought 7 CD’s, all at the same price. The tax was $6.50 and the total was $66.00. What was the price of each CD?
Answer:
$8.50
Step-by-step explanation:
Subtract the tax from the total price:
66 - 6.50
= 59.5
Then, divide this by 7 to find the cost of each CD:
59.5/7
= 8.5
So, the price of each CD was $8.50
Answer:
8.50
Step-by-step explanation:
66-6.50=59.50
59.50 divided by 7 =8.50
Use the function to fill in the table.
g(x)=-3x+1
what is scientific notation and how do you do it?
Scientific notation is nothing but a rewriting of numbers in decimal number system by multiplying them with [tex]10^k[/tex] where k is a negative or positive whole number.
farmula to calculate perimeter of rectangle
Answer:
P=2(L+w)
Step-by-step explanation:
A three-dimensional figure is shown. Which net represents the figure?
Answer:
the fourth one on the bottom right
Step-by-step explanation:
Triangular prism is represented by the first net on the top.
What is three dimensional figure ?In geometry, a three-dimensional shape can be defined as a solid figure or an object or shape that has three dimensions – length, width, and height.
According to the question,
As shown given three dimensional figure is triangular prism.
In triangular prism we have,
Three rectangular face and two triangular face.
When we open the figure triangular faces should be on opposite side.
Hence, first figure on the top is representing the triangular prism.
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Select each set of points that are coplanar.
Solve for x.
4−(2x+4)=5
A. x=32
B. x=−52
C. x=−10
D. x = 6
x = - 2.5
Step-by-step explanation:Hi there !
4 - (2x + 4) = 5
4 - 2x - 4 = 5
- 2x = 5
2x = - 5
x = - 5 : 2
x = - 2.5
Good luck !
The width of a rectangle is modeled by the function w(x) = 3x – 6, and the length of the rectangle is modeled by the function l(x) = 5x + 7. How can the functions be combined to find a function, a(x), that models the area of the rectangle?
a(x) = 8x + 1
a(x) = 16x + 2
a(x) = 15x2 – 9x – 42
a(x) = 30x2 – 18x – 84
Answer:
15x^2 - 9x - 42
Step-by-step explanation:
(3x+6)(5x+7)
15x^2 +21x - 30x -42
15x^2 - 9x - 42
[tex]2(4)( \frac{1}{16} ) = [/tex]
I need help plz
Answer:
0.5
Step-by-step explanation:
[tex]2*4*\frac 1 {16}\\8 / 16\\0.5[/tex]
Hope this helped :)
What is the image point of (4,8) after a translation right 1 unit and up 5 units?
Answer: (5,13)
Step-by-step explanation:
Answer:
(5,13)
Step-by-step explanation:
what is –29 + 30 i need help please!!!
Answer:
1
Step-by-step explanation:
a negative plus a positive is equal to a negative minus a negative. -29+30=-29-(-30)
Take away negative 30 from -29 and you get 1.
i just need a little help
Answer:
your answer should be 2 and 1/4ths
Step-by-step explanation
2 and 1/4ths bc 5 is more than 4 and there is already a whole so there for there are going to be 2 wholes then there are still parts left over and its out of 4 and there is only one left over so there for it would be 1/4ths.
I need help asap well mark you brain list
Answer: a's answer is 4096 and for the last question it is 243
Step-by-step explanation:
Answer:
4096243Step-by-step explanation:
Solving exponents
a) (4^3)^2 = 4^(3*2) = 4^6 = 4096b) 3^1 * 3^4 = 3^(1+4) = 3^5 = 243Calculate the area of the triangle? What is the best way to solve it
Answer: Find the the height and length of the triangle. I'm not sure what it would be but then use a1 + a2 to find the area
Answer:
Formula of triangle: A = 1/2 x b x h
Step-by-step explanation:
Solve the base of the triangle by solving the distance between points (-2,0) and (f, -5) in units, and then do the same for height: find distance between points (-2, 6) and (-2, 0). Once you find the distance, input value of base and height into the formula and solve to get the area!
7% decrease on a £6500 car.
he pays 12 every month
Answer:
£6045?
Step-by-step explanation:
SOLVE SEVEN AND SIX I WILL GIVE BRAINLIST
Answer:
C= 150.8 I hope this helped! Also I used Google because I didn't know.
Step-by-step explanation:
Answer:
5) 75.36ft
6) 150.72mm
Step-by-step explanation:
Bc, you need to multiply 24 * 3.14 and you'll get 75.36.
John went to an electronics store to purchase a new computer. The electronics store allowed John to make payments on the computer instead of paying the entire amount upfront. If John decides to purchase a computer that costs $1,260, and he makes 6 equal monthly payments, what would be his monthly payment?
Answer:
The monthly payment is $210
Step-by-step explanation:
The computation of the monthly payment is shown below:
Given that
The cost of the computer i.e. purchased is $1,260
And, there are 6 equal monthly payments
So, the monthly payment is
= Computer cost ÷ number of equal monthly payments made
= $1,260 ÷ 6 payments
= 210
hence, the monthly payment is $210 and the same is to be considered
Find the zeros of the function. Enter the solutions from least to greatest.
f(x) = (x+6)^2 - 49
lesser x=
greater x =
Answer:
Lesser x is -13.
Greater x is 1.
Step-by-step explanation:
We have the function:
[tex]f(x)=(x+6)^2-49[/tex]
And we want to find the zeros of the function.
So, set f(x) to 0 and solve for x:
[tex](x+6)^2-49=0[/tex]
Add 49 to both sides:
[tex](x+6)^2=49[/tex]
Take the square root of both sides. Since we're taking an even root, we will need plus/minus:
[tex]x+6=\pm 7[/tex]
Subtract 6 from both sides:
[tex]x=\pm7-6[/tex]
Evaluate for each case:
Case 1; 7 is positive:
[tex]x=7-6=1[/tex]
Case 2; 7 is negative:
[tex]x=-7-6=-13[/tex]
So, our zeros are:
[tex]\{x|-13, 1\}[/tex]
Our lesser x is -13, and our greater x is 1.
And we're done!
