Answer:
The value of k is 1.
Step-by-step explanation:
x – 1 is a factor of f(x)
This means that:
x - 1 = 0
x = 1
That means that when [tex]x = 1, y = 0[/tex]. We use this to find the value of k.
f(x) = 3x^3 - 4x + k
[tex]3*1^3 - 4(1) + k = 0[/tex]
[tex]3 - 4 + k = 0[/tex]
[tex]k = 1[/tex]
The value of k is 1.
Write an that
5. Hog head cheese costs $2.15 per pound. ad equation best represents y, the total
cost of x pounds of Hog Head cheese?
Answer:
[tex]y = 25x[/tex]
Step-by-step explanation:
Given
[tex]Rate = 25[/tex]
Required
Cost of x pounds
To do this we simply multiply x by the rate
[tex]y =Rate * x[/tex]
[tex]y = 25 * x[/tex]
[tex]y = 25x[/tex]
Solve and graph the inequality 16x < -64
Answer:
x < -4
Step-by-step explanation:
-64/16 = -4
I’m confused on this one I have one more
Answer:
because the diagonals are congruent, you're going to set them equal.
2x+13=4x-1
13=2x-1
14= 2x
x=7
it's that easy
Find the polynomial of degree 3 such that the coefficient of x2
is three less than the coefficient
of x3
; the coefficient of x is 3 times the coefficient of x2
; and the constant term is two more than
the coefficient of x3
. The sum of the coefficients is -4.
Answer:
1/5[8x³ –7x² –21x + 18]
Step-by-step explanation:
Let the polynomial be:
ax³ + bx² + cx + d
Where:
a => is the coefficient of x³
b => is the coefficient of x²
c => is the coefficient of x
d => is the constant term.
From the question given above,
Coefficient of x² (b) = a – 3 ..... (1)
Coefficient of x (c) = 3b ...... (2)
Constant term (d) = 2 + a ..... (3)
Sum of coefficient (a + b + c) = –4
a + b + c = –4
b = a – 3
c = 3b = 3(a – 3)
a + b + c = –4
a + (a – 3) + 3(a – 3) = –4
a + a – 3 + 3a – 9 = –4
Collect like terms
a + a + 3a = –4 + 3 + 9
5a = 8
Divide both side by 5
a = 8/5
Substitute the value of a into equation (1)
b = a – 3
a = 8/5
b = 8/5 – 3
b = (8 – 15)/5
b = –7/5
Substitute the value of b into equation (2)
c = 3b
b = –7/5
c = 3(–7/5)
c = –21/5
Substitute the value of a into equation (3)
d = 2 + a
a = 8/5
d = 2 + 8/5
d = (10 + 8)/5
d = 18/5
SUMMARY:
a = 8/5
b = –7/5
c = –21/5
d = 18/5
Thus, the polynomial:
ax³ + bx² + cx + d
8/5x³ + (–7/5)x² + (–21/5)x + 18/5
8/5x³ –7/5x² –21/5x + 18/5
1/5[8x³ –7x² –21x + 18]
how can making a table or graph help you decide whether a rule is a function
Answer:
It is possible to know whether the rule is a function or not through the graph by drawing a straight line parallel to the Y axis.If the straight line cuts the graph of the relationship at more than one point, then it is not a function. If it breaks it in one point, then it becomes a function.
Step-by-step explanation:
If you need any explanation on math you can communicate with me on Whats on this number +201557831028 or in email or face
I really need help on this!
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If a punch bowl hold 216 ounces of punch how many 8 ounce glasses can be filled from the punch bowl
Answer:
27 glasses
Explanation:
216 divided by 8 is 27
According to the graph, how much money is spent on education?
8 million
16 million
12 million
4 million
Answer:
16
Step-by-step explanation:
Simplify this fraction: 9/33
Answer:
3/11
Step-by-step explanation:
Both numbers are easily simplified by 3 and that's as far as it can go because 11 is a prime number
9÷3=3
33÷3=11
3/11=9/33
Answer:
3/11
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 9 and 33 is 3
Divide both the numerator and denominator by the GCD
9 ÷ 3
33 ÷ 3
Reduced fraction: 3/11
9/33 simplified gives you your answer which is 3/11
Can you explain to me how to do these multiplications please?
Raul has $460 in his checking account. Each month, $45 is automatically deducted from his account to pay for his cell phone plan. He makes no other deposits or withdrawals. He wants to always have more than $100 in his account. What is the greatest number of months he can pay for his cell phone and still have more than $100 in his account?
7 months
8 months
9 months
10 month
Answer:
8 months
Step-by-step explanation:
because it's right just trust me
Answer:
8 months
Step-by-step explanation:
right on edge nuity <3
a rectangular garden will be fenced on all four sides. If 120 ft. of fencing are available, what should be the dimensions of garden to maximize the area? What is the maximum area
Answer:
30 by 30. Area=900
Step-by-step explanation:
The dimensions of the garden to maximize the area are length + width = 60 and the maximum area is 900 ft².
A rectangular garden will be fenced on all four sides.
120 ft. of fencing is available, what should be the dimensions of the garden to maximize the area and What is the maximum area to be determined.
The rectangle is a four-sided polygon whose opposites sides are equal and has an angle of 90° between its sides.
The perimeter of the rectangle = 120
Perimeter = 2 (length + width)
120 =2(length + width)
length + width = 120/6
length + width = 60 - - - -(1)
So, the sum of the sides of the rectangle should not increase by 120.
Now, the Maximum area of a rectangle,
Let Length = width
Equation 1
Length + Length = 60
length = 60/2
length = 30 = width
Area of the rectangle = length * width
= 30 * 30
= 900 ft²
So the maximum area of the rectangle is 900ft²
Thus, the dimensions of the garden to maximize the area is length + width = 60 and maximum area is 900 ft².
Learn more about rectangles here:
https://brainly.com/question/16021628
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A female rabbit can give birth to over 40 baby rabbits a year. Suppose all of her offspring survived and reproduced, all of their offspring survived and reproduced, and so on. If that happened, in only eight years the mass of rabbits would exceed the mass of Earth!
So, why aren’t we overrun with rabbits? What keeps the rabbit population in check?
(It says Mathematics because I couldn't find the right subject!)
Answer:
rabbit predators >:)
Step-by-step explanation:
Find the errors and correct the following mathematical sentences.
Answer:
This is your answer
Problem
Evaluate 6 + x when x = 3
Answer:
9
Step-by-step explanation:
6+x x=3
6+3=9
It takes your dog, Patches, 50 days to eat a 10 pound bag of dog food. How many pounds of food does your dog eat each day? Question 2 options: 0.2 lb 5 lbs 2 lbs 0.5 lb
Answer:
5 pounds of food each day
Step-by-step explanation:
So you do 50 divided by 10 and you get 5 pounds that your dog eats each day.
p.s. If I am wrong I am so sorry just trying to help people out.
Rocky pays a flat rate of $5 per month plus $0.10 per minute for
his long-distance phone plan. He wants his total monthly bill to be
less than $20.
Need Help
Lucy bought a couch that cost $1,000.00. she bought it using her debit card. She forgot she only has $900 in her checking account. What should lucy be worried about? 1) how much tax is included 2) discounts 3) nothing 4) overdraft fees
Answer:
4) overdraft fees
Step-by-step explanation:
if she now has a negative balance then she owes money to the couch store
Answer:
Overdraft fees
Step-by-step explanation:
An overdraft occurs when money is withdrawn in excess of what is on the current account. In this situation the account is said to be "overdrawn".
What is the average age of the porcupines at your zoo? What is the standard deviation? Round your answers to the nearest tenth.
Answer:
is there a pic?
Step-by-step explanation:
3. A square candy box has sides the
What is the candy box's area?
Step-by-step explanation:
you need to know something about numbers in order to answer this question
One grocery clerk can stock a shelf in 25 min. A second clerk requires 45 min to stock the same shelf. How long would it take to stock the shelf if the two clerks worked together?
Answer:
clerk A and clerk B can simultaneously stock a shelf in 180/13 minutes
Step-by-step explanation:
Let the first clerk be A and the second clerk be B
A can stock a shelf in 20 min
B can stock a shelf in 45 min
Consider the complete work to be W
A’s rate of stocking = per minute
B’s rate of stocking = per minute
When, A and B work simultaneously, rate of work done =
Total work done simulatenously = 180/13
Therefore, clerk A and clerk B can simultaneously stock a shelf in 180/13 minutes
Answer:
Step-by-step explanation:
The rate of each clerk is 1/25 and 1/45 respectively so together they can stock the shelf
t/25+t/45=1 (the least common multiple of 25 and 45 is 225)
t/25(9/9)+t/45(5/5)=1
(9t+5t)/225=1
9t+5t=225
14t=225
t=225/14 min
t=16 minutes (rounded to nearest minute)
( or 16 minutes and about four seconds :) )
WILL GIVE BRAINLST
HAVE AN AMAZING DAY :)
Answer:
9, 12x=4x+8+20
12x-4x=28
8x=28
X=3.5
Answered both because I wasn't sure which one you needed help with.
What is the value of pi to the hundred-thousands place. (Answer quickly going for 45 points)
Answer:
3.14159
Step-by-step explanation:
pi
True or False.
The expressions 3 + y and 1/3 (6 + y) are equivalent?
Answer:
false
Step-by-step explanation:
consider y = 3
its 6 for one and 3 for the other
What is the CIRCUMFERENCE of this pie?
Give an approximate answer by using 3.14 for π.
SHOW YOUR WORK!
How many total hours did the girls spend cleaning their home
Answer:
it should be 12
Step-by-step explanation:
because 3x4=12
Answer: 12
Step-by-step explanation: each girl spent 3 hours cleaning, their was 4 girls so 4 x 3 = 12
What is the circumference of the circle with a radius of 31
Answer:
circumference = 194.68
Step-by-step explanation:
c = π2r
c = (3.14)(2)(31) = 194.68
What solid would be created by rotating the figure above about line m?
Cone
Triangular Pyramid
A good ol' triangle
Triangular Prism
PLEASE HELP ILL GIVE BRAINLIEST!!
Answer:
Step-by-step explanation:
Since it is ROTATED about the vertical line a cone is formed.
The series converges by the Limit Comparison Test. Each term is less than that of a convergent geometric series. The series converges by the Limit Comparison Test. The limit of the ratio of its terms and a convergent p-series is greater than 0. The series diverges by the Limit Comparison Test. Each term is greater than that of the divergent p-series. The series diverges by the Limit Comparison Test. The limit of the ratio of its terms and the harmonic series is greater than 0.
Answer:
hello your question has some missing information attached below is the complete question
answer : The series diverges by the Limit Comparison Test. The limit of the ratio of its terms and the harmonic series is greater than 0.
Step-by-step explanation:
steps to determine if the series converges
step 1 : apply series limit comparison test
step 2 : consider Cauchy's convergence condition ; which states that ∑an converges if and only if for every ∈ > 0 there is a natural number N
attached below is the detailed solution
Which statement best describes the effect on a image when it is reflected over the x axis
Answer:
Vertical flip