Answer:
Below.
Step-by-step explanation:
p(x) = x^4 - 13x^2 – 25x – 12
Long division:
x^2 - 4)x^4 - 13x^2 – 25x – 12( x^2 - 9 <-------- Quotient
x^4 - 4x^2
Subtract: -9x^2 - 25x
-9x^2 + 36
-25x - 36 - 12
So the remainder is -25x - 48 (Answer).
B) If the above are correct then:
(x^2 - 4) * quotient + remainder = the original form of p(x).
(x^2 - 4)(x^2 -9) - 25x - 48 = the original p(x).
p(x) = x^4 - 9x^2 - 4x^2 + 36 - 25x - 48
= x^4 - 13x^2 - 25x -12 = original p(x)
help me plsssssssssssssssssssssssssss
Answer:
This answer would be c
Step-by-step explanation:
T is the midpoint of RS, T has coordinates (6, 4), and S has coordinates (3,-2). What are the
coordinates of R?
Answer:
help
Step-by-step explanation:
Find the volume of a cone with a diameter of 12.9 cm and a height of 16.6 cm.
Answer:
112cm^3
Step-by-step explanation:
Formula for volume of a cone is:
[tex] \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]
r = radius and h = height
To find the radius you divide the diameter by 2:
12.9 ÷ 2 = 6.45
Now substitute values into the formula:
[tex] \frac{1}{3} \times \pi \times {6.45}^{2} \times 16.6[/tex]
Which equals 112cm^3
2,548 rounded to the nearest hundred
Answer:
the answer is 2,500
Step-by-step explanation:
any number higher than 5 you round up but any number lower than 5 you round down.
4 is lower than 5 so you round it down and the 5 stays the same, and replace it with 0's.
Plz help me i will give u 50pts^_^ and brainliest<3
Answer:
y/x^2=-2x+3
Step-by-step explanation:
OMG HELP RN I GIVE BRAINLIST
Which of the following correctly describes the solutions to the inequality?
A.
There are 5 solutions. The solutions are the numbers between 4 and 8.
B.
There are an infinite number of solutions. The solutions are all numbers less than 3.
C.
There are 6 solutions. The solutions are the numbers between -2 and 3.
D.
There are an infinite number of solutions. The solutions are all numbers greater than 3.
20 charecters lol pls solve
Answer:
-3x+12
Since we are adding like terms you add everything that has an "x" after it [(3.4x) + (-5.4x) + (-x)] it all that adds up to -3x and the you add the 12 to it. It could also be written 12-3x
Isaac bought 7 chicken wings for $12.60. How much does each wing cost?
Answer:
Each chicken wing costs $1.80.
Explanation:
To find the cost for each wings, you need to split the money by 7 which is: 12.60/ 7
this gives us:
1.80
Select all equations that have 5
as a solution by using substitution to determine if the eqution is true.
what is 12 3/4 divided by 3
Answer:
4.25 as decimal and 4 1/4 as a fraction
Step-by-step explanation:
I need help find the value of x
I NEED HELP PLEASE AGAIN LAST THREE FOR THE NIGHT
Answer
First one is A
Second one is B
Third one is D
Problem 1
Answer: Choice A
(30, 225); Rocket reaches max height of 225 ft after 30 seconds.
-------------------
Explanation:
Distribute the 0.25 through to get
y = 0.25(60x-x^2)
y = 15x - 0.25x^2
y = -0.25x^2 + 15x
This is in standard form y = ax^2+bx+c with a = -0.25, b = 15 and c = 0.
The first two values mentioned lead to this x coordinate of the vertex.
h = -b/(2a)
h = -15/(2*(-0.25))
h = -15/(-0.5)
h = 30
This tells us the answer is between A and C.
If you were to plug x = 30 into the original equation, you'll get y = 225. It means that after x = 30 seconds, the rocket has reached its max height of 225 feet. Therefore, the answer must be choice A.
===========================================================
Problem 2
Answer: Choice B
(x-3)^2 = -8(y-6)
-------------------
Explanation:
vertex = base of the bulb = (3,6)
focus = top of the bulb = (3,4)
This flashlight is pointed downward, which forms a downward opening parabola.
The distance from the vertex to the focus is p = 2 units. This is known as the focal distance.
We'll plug that in along with the vertex (h,k) = (3,6) in the formula below
4p(y-k) = (x-h)^2
4*2(y-6) = (x-3)^2
8(y-6) = (x-3)^2
Unfortunately that equation above produces a parabola that opens upward. To fix things, we stick a negative out front on either side, which will reflect the parabola over the x axis to make the parabola open downward. That leads us to choice B.
===========================================================
Problem 3
Answer: D) square
-------------------
Explanation:
We can form a point by intersecting the plane through the point where the two cones meet. The plane needs to be parallel to the base of each cone.
We can also form a line. To do so, we intersect the plane at exactly along the edge of the cone. Make the plane tangent to the cone.
Lastly, we can form a circle by intersecting any plane parallel to the cone's base. This plane cannot pass through the meeting point of the two cones. Rather, the plane passes through one of the cones.
Those three previous paragraphs mean that we can rule out choices A,B,C. The only thing we can't form is a square. We can form straight lines, but we cannot form perpendicular lines needed to get a square. Nice work on selecting the correct answer.
个,
4800
3. Alexander is taking 15 credit-hours this semester at college. The
relationship between tuition and credit hours is shown by the graph below.
What is the constant of proportionality?
A. 15
B. 400
C. 800
D. 6000
4400
4000
3600
3200
2800
2400
2000
Tuition
1600
1200
800
400
2
3
S
4
Credit Hours
7
&
9
Answer:
4800
3. Alexander is taking 15 credit-hours this semester at college. The
relationship between tuition and credit hours is shown by the graph below.
What is the constant of proportionality?
A. 15
B. 400
C. 800
D. 6000
4400
4000
3600
3200
2800
2400
2000
Tuition
1600
1200
800
400
2
3
S
4
Credit Hours
7
&
9
Step-by-step explanation:
identify a possible explicit rule for the nth term of the sequence 9, 17, 25, 33, 41
Answer:
The explicit formula for the nth term of the sequence is [tex]a_n=9+8(n-1)[/tex]
Step-by-step explanation:
Recall:
The explicit formula for a sequence is [tex]a_n=a_1+(n-1)d[/tex] where [tex]a_n[/tex] is the [tex]n[/tex]th term, [tex]a_1[/tex] is the first term, and [tex]d[/tex] is the common difference
Given:
First term --> [tex]a_1=9[/tex]
Common Difference --> [tex]d=8[/tex]
Substitute:
[tex]a_n=9+(n-1)(8)[/tex]
[tex]a_n=9+8(n-1)[/tex]
help with this please i dont understand?
a) Evaluate the given function at each value of x. We have f(x) = 2x + 3.
• If x = -2, then
f(-2) = 2 (-2) + 3 = -4 + 3 = -1
• If x = -1, then
f(-1) = 2 (-1) + 3 = -2 + 3 = 1
• If x = 0, then
f(0) = 2 (0) + 3 = 0 + 3 = 3
and so on.
b) Kind of a silly question. Of course f(x) is a function, the instructions for part (a) say so!
But the real reason f(x) is indeed a function is that no single value of x returns more than one value of f(x).
How to perform aerial math for following:
5.1 x 3.5 X 0.5+9.4
A rule for creating a pattern is given below.
Rule: Subtract 7 from 2 to get y.
Which ordered pair, (x, y), works for the rule?
Answer:
(any real number, 5)
Step-by-step explanation:
Well given that y=7-2 and that y=5, we do not know the value of x, therefore x could be any real number with y being 5. I'm pretty sure that answered your question. So, a example of an ordered pair that would fit this rule would be say (5,5) or (7,5)
Find the whole number equal to the fraction below. Enter your answer in the
space provided
Answer:
7
Step-by-step explanation:
42/6= 7
---
its a sort of memorization thing youll know when you do enough of them.
if not, you can divide by smaller parts.
3*2=6 so you can divide 42 by 2, and then 3 if that is easier
42/2
=21
then divide by 3 =7
Answer: 7
Step-by-step explanation: If you simplified 42/6 you would get 7 and 42/6 is basically 42 ÷ 6 which equals 7.
Can someone please explain this problem to me? i would really really REALLY appreciate it omg
Answer:
f(0) = 3
f(-2) = -15
Step-by-step explanation:
You just have to plug in the value in f(b) into the b of the equation.
So for f(0) --> 2(0)^3 - |0-4| + 7
2(0) - |-4| + 7
0 - 4 + 7 = 3
------------
for f(-2)
2(-2)^3 -|-2-4| + 7
2(-8) - 6 + 7
-16 -6 + 7 = -15
PLS HELP ME
what is mZA?
Answer:
35+43 = 78 so then E is 78 for both sides. then do 78+18 which is 96. so A is 96. I think
The circle graph summarizes the results of a
survey of 2800 Internet users who make
purchases online. Use this graph to answer the
following question
Online Spending per Month
$0-$15 22.5%
$15-S185 59.1%
Over 185 18.4%
Find the ratio of number of respondents who
spend $0-$15 online to number of respondents
who spend $15_$185 online. Write the ratio as a
fraction with whole numbers in the numerator
and denominator.
The points (0,3) and (1,12) are solutions of an exponential function. What is the equation of the exponential function?
A) h(x) = 3(4)x
B) h(x) = 4(3)x
C) h(x) = 4(1∕3)x
D) h(x) = 3(0.25)x
Answer:
A
Step-by-step explanation:
An exponential function has the form
y = a[tex](b)^{x}[/tex]
Use the given solutions to find a and b
Using (0, 3 ) , then
3 = a[tex]b^{0}[/tex] [ [tex]b^{0}[/tex] = 1 ] , so
a = 3
y = 3[tex](b)^{x}[/tex]
Using (1, 12 ) , then
12 = 3[tex]b^{1}[/tex] = 3b ( divide both sides by 3 )
4 = b , then
h(x) = 3[tex](4)^{x}[/tex] → A
A music streaming service conducted a survey asking subscribers where they most often listen to music. Of the 2,500 responses, 1,468 users stated that they most often listen to music while in vehicles.
Use this information to complete the statement. Round all answers to the nearest hundredth.
The approximate sample proportion is ___, which means that ___% of the subscribers surveyed most often listen to music somewhere other than in a vehicle.
Answer:
0.59 and 41%
Step-by-step explanation:
Plato/Edmentum
The approximate sample proportion is o.59, which means that 41% of the subscribers surveyed most often listen to music somewhere other than in a vehicle.
For this situation, the number of positive responses is 1486 out of a total sample size of 2500.
Substitute these values into the formula for sample proportion, where x is the number of positive responses and n is the sample size.
[tex]\hat p = \frac{x}{n}[/tex]
= [tex]\frac{1468}{2500}[/tex]
= 0.59
So, the approximate sample proportion is 0.59.
Since 0.59 represents the proportion who responded favorably, 1-0.59=0.41, represents the proportion which responded unfavorably.
This value of the same as 41%.
So, 41% of the subscribers surveyed most often listen to music somewhere other than in a vehicle.
Therefore, the approximate sample proportion is o.59, which means that 41% of the subscribers surveyed most often listen to music somewhere other than in a vehicle.
Learn more about the sample proportion here:
https://brainly.com/question/33593792.
#SPJ4
[tex]f(x) = {x}^{3 } + {3x}^{2} - 9x + 5[/tex]
which of the following are roots of a polynomial function?
check all that apply
a[tex]1 - \sqrt{3} [/tex]
b
[tex]1 + \sqrt{3} [/tex]
c
[tex] - 5[/tex]
D
[tex]3 - \sqrt{2} [/tex]
E
[tex]3 + \sqrt{2} [/tex]
F
[tex]1[/tex]
Answer:
[tex]f(1) = {(1)}^{3} + 3 {(1)}^{2} - 9(1) + 5 \\ (x - 1) = 0 \rightarrow \: x = 1 \\\frac{{x}^{3 } + {3x}^{2} - 9x + 5}{x - 1} = {x}^{2} + 4x - 5 \\ (x + 5)(x - 1) = 0 \\ x = - 5 \: or \: x = 1 \\ \color{red}\boxed{x_{1} = 1} \\\color{yellow} \boxed {x_{2} = 1} \\ \color{green}\boxed{x_{3} = - 5} [/tex]
The answer would be C and F
Answer: 1 & -5
Step-by-step explanation
Which relation is a function?
Answer:
D is a function.
Step-by-step explanation:
cause the line is related to both x and y
The relation that represents a function is the relation (d)
Checking the relations that are functionsFrom the question, we have the following parameters that can be used in our computation:
The relations (1) to (4) represent the given parameter
Next, we test the options
Relation (1)
This relation is not a function
This is because it fails the vertical line test i.e. some output values all point to the same input value,
Relation (2)
This relation is not a function
This is because it fails the vertical line test i.e. some output values all point to the same input value,
Relation (3)
This relation is not a function
This is because it fails the vertical line test i.e. some output values all point to the same input value,
Relation (4)
This relation is a function
This is because the inputs all point to different output values
Hence, the relation that is a function is graph (d)
Read more about functions at
brainly.com/question/22340031
#SPJ6
the distance between -2,4 and 2,6
mayam bought potato chips to school she share 1/4 of her chips with friends and 1/8 of her chips with her teacher how many has she shared in all?
[tex]\huge\underline\mathtt\colorbox{cyan}{3/8}[/tex]
[tex]\huge\mathsf\colorbox{white}{}[/tex]
Step-by-step explanation :Total shared part:
1/4 + 1/8
Taking LCM and adding:
2/8+1/8
Adding gives:
3/8
(a) The perimeter of a rectangular garden is 320 m.
If the width of the garden is 74 m, what is its length?
(b) The area of a rectangular window is 5723 cm?
If the length of the window is 97 cm, what is its width?
Width of the window: cm what is the width
Answer:
86 m, 59 cm
Step-by-step explanation:
a. perimeter is 2L + 2W
320 = 2L + 2(74)
320 = 2L + 148
172 = 2L
86 m is length
b. area = L x w
5723 = 97 x w
5723/97 = 2
59 cm is width
Please I need help with this
Solve for equation for x: 5^2 – 10x – 6 = 0
Answer: x= 1.9
Step-by-step explanation: