what is the maximum number of terms a fourth-degree polynomial function in standard form can have?
The maximum number of terms fourth-degree polynomial function in standard form can have is 5
The general form of an nth degree polynomial is:
[tex]p(x) = a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2} + ....+a_1x+a_0[/tex]
The maximum number of terms that an nth -degree polynomial can have is n+1
For a fourth degree polynomial, n = 4
Substitute n = 4 into [tex]p(x) = a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2} + ....+a_1x+a_0[/tex]
[tex]p(x) = a_4x^{4}+a_{4-1}x^{4-1}+a_{4-2}x^{4-2}+a_{4-3}x^{4-3}+a_{4-4}x^{4-4}\\\\p(x) = a_4x^4+a_3x^3+a_2x^2+a_1x+a_0[/tex]
The maximum number of terms of p(x) above, when n = 4 is (4+1)
The maximum number of terms fourth-degree polynomial function in standard form can have is 5
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plz help me because I need it
Answer:
C
Step-by-step explanation:
Can someone please help me
Answer:
z
Step-by-step explanation:
please help asap, the question is
Do you see a pattern? If so, explain your reasoning. and What predictions can you make about future rectangles in the set if your pattern continues?
Answer: the pattern is that the rectangles width and length get timed 2.
Step-by-step explanation: that pattern will continue until the rectangle will get bigger than the unobservant universe...
can somebody help me out with this please? (you don’t have to do the thing where you show ur work on paper just show work please)
Answer: On 38+7k=8(k+4) k is going to equal 6. On 3(2x-1)=9(x+3) x is going to equal -10.
Step-by-step explanation: 38+7k=8k+32= 6x-3=9x+27
38=1k+32= -3=3x+27
6=1k k=6 -30=3x x=-10
4.(03.06 MC)
Choose the equation below that represents the line passing through the point (2, -5) with a slope of -3.
Answer:
y=-3x+1
Step-by-step explanation:
Plsss helppppssssss me :< and explain thatttttt
Answer:
you need to take a better picture nobody can see that i not trying be be rude
Step-by-step explanation:
Answer:
upload clear picture, it is very easy
Step-by-step explanation:
−2+(−7)? help me what is the answer please help.
Answer:
-9
Step-by-step explanation:
-2 + (-7) = -2 - 7-2 - 7 = -9I hope this helps!
Answer:
-9
Step-by-step explanation:
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One solution to a quadratic equation is x= -5/3 What is true about any remaining solutions?
There are two or more complex solutions.
There is exactly one more real solution.
There is exactly one complex solution.
There are no complex solutions.
There are no other real solutions.
There are at least two more real solutions.
thers more than one answer i believe but im completely lost
Answer:
There is exactly one more real solution or there is exactly one more complex solution
Step-by-step explanation:
A quadratic equation is a polynomial of degree two
What this means is that a polynomial has two answers.
Now, from the question, we have an answer already which is a real root
Then the other answer which we do not have can take the form of two answers
It can either be a complex root or other wise be a real root
So the answer to this question is that ;
There is exactly one more real solution or there is exactly one more complex solution
23 teachers at a school take the car to work. Some of the teachers
travel in the same car. Fill in the frequency missing from the table.
Number of Teachers in the car Number of cars (Frequency)
1 x
2 5
3 2
Audrey was given a gift card for a coffee shop. Each morning, Audrey uses the card to buy one cup of coffee. Each cup of coffee costs $2.50 and after buying 2 cups of coffee, the card had a $45 remaining balance. Write an equation for A,A, in terms of x,and x representing the amount money remaining on the card after buying x cups of coffee.
Answer:
The expression is y-2.50x=45The gift card is worth $50Step-by-step explanation:
step one:
let y be the amount of the gift card
and let x be the number of cups of coffee bought
given that Audrey bought 2 cups x=2
y-2.50x=45
step two:
substitute x= 2 in the expression we have
y-2.5(2)=45
y-5=45
solving for y
y=45+5
y=$50
the expression is y-2.50x=45
the gift card is worth $50
A market buys mixed nuts at $12.50 per pound. They want to make a 22% profit. What should they charge for retail price? Please help I’m begging!
Answer:
the answer is 15.25/lbs
Step-by-step explanation:
you just plug in 1.22 (12.50) pls vote if my answer was right
Answer:
$15.25
Step-by-step explanation:
Divide 12.50 by 100 to get 0.125
Multiply 0.125 times 122 to get 15.25
You divide by 100 to get 1% of what $12.50 is, then multiply that by 122 to get $12.50 + a 22% profit.
Finally, just add your units to get the answer of $15.25 per pound.
How much is 200 tens
Answer:
if you're sating 200 tens(10), then it equals 2000
Step-by-step explanation:
because you'd multiply them, and 200 times 10 equals 2000.
and if you ment 200 ton, the it's 400000. because a ton is 2000, so 200 times 2000 equals 400000
Lily is in the business of manufacturing phones. She must pay a daily fixed cost to rent the building and equipment, and also pays a cost per phone produced for materials and labor. The equation C=900+100pcan be used to determine the total cost, in dollars, of producing pp phones in a given day. What is the slope of the equation and what is its interpretation in the context of the problem?
Answer:
The slope is 100Step-by-step explanation:
Given that the equation that represents the total cost is given as
C=900+100p--------1
this equation is the same as the equation of a straight line, and we can deduce from it when we compare it the straight line equation
the equation of a line is given as
y=mx+c------2
comparing equation 1 and 2 we have the slope as
m=100
In the context of this problem m=100 means that the cost of producing a phone per material and labour cost is $100
Answer:
The slope of the function is 100 which represents the additional cost to produce each phone.
Step-by-step explanation:
The slope shows how much more Lily must pay for each additional phone that is manufactured, representing the additional cost of producing each phone attributed to labor and materials.
Have a good day :)
any luck of help? pls say yess I'll brainlist u!!! give u 5 star just help me answer
Answer:
11. A) x = 0
y = 2x + 5
=> y = 2 * 0 + 5
=> y = 0 + 5 = 5
=> y = 5 (First blank)
x = 1
y = 2x + 5
=> y = 2 * 1 + 5
=> y = 2 + 5 = 7
=> y = 7 (Second blank)
x = 2
y = 2x + 5
=> y = 2 * 2 + 5
=> y = 4 + 5
=> y = 9 (Third blank)
x = 3
y = 2x + 5
=> y = 2 * 3 + 5
=> y = 6 + 5
=> y = 11 (Fourth blank)
x = 4
=> y = 2x + 5
=> y = 2 * 4 + 5
=> y = 8 + 5
=> y = 13 (Fifth blank)
11. B) x = 0
=> y = [tex]3x^{2} + 1[/tex]
=> y = 3 * 0 * 0 + 1
=> y = 0 + 1
=> y = 1 (First blank)
x = 1
=> y = [tex]3x^{2} + 1[/tex]
=> y = 3 * 1 * 1 + 1
=> y = 3 + 1
=> y = 4 (Second blank)
x = 2
=> y = [tex]3x^{2} + 1[/tex]
=> y = 3 * 2 * 2 + 1
=> y = 12 + 1
=> y = 13 (Third blank)
x = 3
=> y = [tex]3x^{2} + 1[/tex]
=> y = 3 * 3 * 3 + 1
=> y = 27 + 1
=> y = 28 (Fourth blank)
x = 4
=> y = [tex]3x^{2} + 1[/tex]
=> y = 3 * 4 * 4 + 1
=> y = 48 + 1
=> y = 49 (Fifth blank)
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Find two numbers if their ratio is 9:11 and their difference is 6.
Answer:
Step-by-step explanation:
27,33
9*3 is 27
11*3 is 33
33-27 is 6
i only have one, sorry!
Answer:
Step-by-step explanation:
Let the larger number = y
Let the smaller number = x
x/y = 9/11
y - x = 6
Add x to both sides of the second equation
y = 6 + x
Substitute into the first equation
x/(x + 6) = 9/11
Cross multiply
11x = 9(x + 6)
Remove the brackets
11x = 9x + 54
Subtract 9x from both sides.
2x = 54
x = 54/2
x = 27
y = 27 + 6
y = 33
(27,33)
The way I've done it, there isn't a second pair.
I suppose you could do it this way.
9/11 = -27/-33
-27 - - 33 = 6
So the second pair could be
(-27, - 33)
what is the solution to -5x > 15
-5x > 15
Divide both sides by -5
x < -15/5
Simplify
x < -3
3 + 15 + 3
- 4 2
I need help figuring this out
Answer:
3+15+3-42
=18+3-42
=21-42
=-21
Renee can run 10 miles in 1.75 hours. Amy can run 8 miles in 1.5 hours who runs faster
Answer:
The person with the larger value means they are moving at a higher acceleration
Step-by-step explanation:
Renee: 10 miles / 105 minutes = 0.095 mi/min
Amy: 8 miles / 90 minutes = 0.088 mi / min
Help I need to pass this
Answer:
bottom right hand corner is false
Step-by-step explanation:
Key word perpendicular, it just needs to have relectional symmetry across the line that goes across the figure
Ms. Chang fills gum and trinket machines in front of grocery stores. In the trinket machine, there are two types of trinkets: lockets and stickers. If Ms. Chang puts 15 lockets and 25 stickers in an empty machine, what is the ratio of stickers to all the trinkets in the machine?
Answer:
3:5
Step-by-step explanation:
the initial ratio is
15:25
we can divide both numbers by five though
15/5=3
25/5=5
3:5
I hope this helped :)
Solve for f.
4f = -2 + 5f
Answer:
f=2
Step-by-step explanation:
First, you move the variables to the left side of the equation and change its sign.
After doing so, you have 4f -5f =2.
Now, combine like terms. 4f-5f = -f, or -1f. Either way is fine.
Your equation looks like this now: -f = -2
Now remove the negative symbols due to their being one on both side.
f=2
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consider The line that passes through each pair of given points and decide what type of slope the line has.
Answer:
(6,-3) and (-4, -3) = zero slope
(-7, 8) and (-7, 0) = undefined slope
(2, 4) and (5, 1) = negative slope
(3, 5) and (-1, 2) = positive slope
:)
Step-by-step explanation:
got it right on edge
Determine the transformations that produce the graph of the functions g(x)=0.2log(x+14)+10 and h(x)=5log(x+14)−10 from the parent function f(x)=logx. Then compare the similarities and differences between the two functions, including the domain and range.
Let's focus on g(x) for now.
0.2 = 1/5
f(x) = log(x) is the parent function
0.2*f(x) = 0.2*log(x) .... vertical compression by factor of 5
0.2*f(x+14) = 0.2*log(x+14) .... shift 14 units to the left
0.2*f(x+14)+10 = 0.2*log(x+14)+10 .... shift 10 units up
g(x) = 0.2*log(x+14)+10
The transformations to go from f(x) to g(x) are:
vertical compression by factor of 5shift 14 units to the leftshift 10 units upThe domain of g(x) is x > -14 to ensure that x+14 > 0. This is so we avoid applying a log to 0 or a negative value. The parent function domain was x > 0. Note how the domain shifted 14 units to the left (step 2)
======================================================
Now onto h(x)
f(x) = log(x)
5f(x) = 5log(x) .... vertical stretch by factor of 5
5f(x+14) = 5log(x+14) ... shift 14 units left, just like earlier
5f(x+14)-10 = 5log(x+14)-10 ... shift 10 units down
h(x) = 5log(x+14)-10
The transformations to go from f(x) to h(x) are:
vertical stretch by factor of 5shift 14 units to the left (same as g(x))shift 10 units down (instead of up compared to g(x))This time h(x) is taller compared to f(x), while g(x) is more vertically squished compared to f(x). Both involve being shifted 14 units to the left, so both g(x) and h(x) have the same domain. Vertical shifting and compressing/stretching does not affect the domain.
The range of f(x), g(x) and h(x) is the set of all real numbers.
Select the correct answer.
Which function represents a function with zeros at -3,-1, 0, and 6? ANYTHING HELPS
A function assigns the values. The function that represents a function with zeros at -3,-1, 0, and 6 is f(x)=x(x-6)(x+3)(x+1).
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The function that represents a function with zeros at -3,-1, 0, and 6 is
f(x)=(x+3)(x+1)(x+0)(x-6)
f(x)=x(x+3)(x+1)(x-6)
f(x)=x(x-6)(x+3)(x+1)
Hence, The function that represents a function with zeros at -3,-1, 0, and 6 is f(x)=x(x-6)(x+3)(x+1).
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A baby gains 11 pounds in its first year of life. The baby gained 4 1/4 pounds during the first four months and 3 1/2 pounds in its second for months. How much did the baby gain in the last four months?
Answer:
3.25lbs in the last 4 months
Step-by-step explanation:
One car rental company charges $30 per day plus $0.25 per mile driven. A second company charges $40 per day plus $0.10 per mile driven. What is the minimum number of miles you must drive a one-day rental at the second company to be less expensive than the same rental at the first company?
Answer:
66.67=67mi.
Step-by-step explanation:
Two clothing stores are having a sale on all their dress shirts. Store A is charging $15 for each dress shirt. Store B is $18 for each shirt but giving customers a coupon for a $9 discount when they check out.
Which of the following statements is true?
A. Helen bought 4 dress shirts at Store A for $75.
B. Henry bought 4 dress shirts at Store B for $72.
C. Hank bought 3 shirts from Store A and paid the same as Holly paid for 3 shirts at Store B.
D. Buying dress shirts from Store A will always be cheaper than buying dress shirts from Store B.
Answer:
C
Step-by-step explanation:
When the steps are followed. They both pay the same amount
Answer:
C
Step-by-step explanation:
A: Helen paid $60 at store A for 4 Dress Shirts
B:Henry bought 4 dress shirts at Store B for $63
D: (1 shirt)Store A with discount is $15 and at Store B (with $9 coupon) $9 , though it is true with one shirt, it is not certain this will happen with a greater amount of shirts.
True or false
Beginning in the 6th century BC with the Pythagoreans, the Ancient Greeks began a systematic study of mathematics as a subject in its own right with Greek mathematics. Around 300 BC, Euclid introduced the axiomatic method still used in mathematics today, consisting of definition, axiom, theorem, and proof.
Answer:
im pretty sure its true
Step-by-step explanation:
so sorry if its wrong, hope it helps!
15= 3x−15 what is x?
Answer:
x = 10
Step-by-step explanation:
Original Equation:
15 = 3x - 15
Add 15 to both sides
30 = 3x
Divide both sides by 3
10 = x
Hope this helped :)
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x = 10
All you have to do is add 15 to both sides, and you have
30 =3x
and divide by 3
you get
10 = x