Answer: P(x) = (-1/4)*(x + 4)*(x + 4)*(x - 6)
Step-by-step explanation:
The factored form of a polynomial is:
P(x) = A*(x - r₁)*(x - r₂)*(x - r₃)....
Where:
A is a real number.
r₁, r₂,.... etc
are the roots.
In this case, we know that the roots are:
-4, -4, and 6.
Then the polynomial will be:
p(x) = A*(x + 4)*(x + 4)*(x - 6)
Now we also know that this polynomial passes through the point (2, 36)
This means that:
P(2) = 36 = A*(2 + 4)*(2 + 4)*(2 - 6) = A*6*6*(-4) = A*(-144)
36 = A*(-144)
-36/144 = A
-0.25 = -1/4 = A
Then the polynomial is:
P(x) = (-1/4)*(x + 4)*(x + 4)*(x - 6)
What is the value of the expression below?
8 *divide* 2 + 6x5
Answer:
34
Step-by-step explanation:
8/2 = 4
6 times 5 = 30
30 + 4 = 34
lol i literally just asked for help on a different problem, but this is a word problem and they always confuse me
problem:
My sister has three Maltese puppies. Scout weighs 8 1/3 pounds. Kenadi weighs 3 1/8 pounds, and Major weighs 8 1/5 pounds. What is the order of the puppy’s weights from least to greatest?
Answer:
D) 3 1/8, 8 1/5, 8 1/3
Step-by-step explanation:
The order of the puppies' weights from least to greatest is the following:
[tex]3\frac{1}{8} , 8\frac{1}{5}, 8\frac{1}{3}[/tex]
Three wholes are less than eight wholes, which means that the puppy named Kenadi weighs the least.
Scout and Major weigh a bit more than eight pounds. However, Major weighs less than Scout because one fifth is less than one third.
[tex]8\frac{1}{5} < 8\frac{1}{3}[/tex]
This is why the correct option is D.
Answer:
D
Step-by-step explanation:
Given the following sequence and an-1 = 12, what is an?
2, 7, 12, 17,...
Answer:
12
Step-by-step explanation:
[tex]a_{n-1}=12\\\\
Plug\: n = n + 1\\\\
a_{n+1-1}=12\\\\
\huge \red {\boxed {a_{n}=12}} \\\\[/tex]
Which statement is true? Select all that apply
The relationship is proportional.
The slope is -6.
The slope is negative.
The y-intercept is -3.
The equation of the line is y = -3x.
There are 4 sharks and 5 dolphins. Write the ratio of dolphins to animals.
Answer:
5:9
Step-by-step explanation:
Number of sharks = 4
Number of dolphins = 5
Number of animals = number of sharks + number of dolphins
Number of animals = 4 + 5 = 9
Therefore, the ratio of dolphins to animals = 5:9
A certain company reported selling 5,000 toys during the month of January and expects sales to grow at a rate of 7.5% per month until the end of that year. How many toys should the company expect to sell by the end of June of that year?
Answer:
Answer is 36,220
Step-by-step explanation:
between 2002 and 2008, more than 26 cubic miles of groundwater disappeared. how much water has disappeared per year
Explanation:
2008 - 2002 = 6 years have passed
In that time frame, we lost 26 cubic miles of ground water.
This means we lost about 26/6 = 4.333 cubic miles of ground water per year.
Luke called a repairman to fix the furnace at his cabin. The repairman charged $35 per hour plus a fee of $25 for the service call, as represented by the expression in the box.
(THE EXPRESSION IN THE BOX IS "35x + 25")
In the expression, what is represented by the variable x?
A) the number of hours it took the repairman to fix the furnace.
B) the distance in miles from the repairman's shop to Luke's cabin.
C) the number of service calls made by the repairman to Luke's cabin.
D) the total amount in dollars that Luke paid to have the furnace repaired.
(I need the answer ASAP)
Answer:
The answer is A.
Step-by-step explanation:
To find the value you have to know how many hours the repairman took to repair. Then after you find how many hours he took multiply the hours by 35 than add 25.
So the equation would look like 35x hr+25 =
hr=hours
Find the measure of angles 1,2 and 3
Answer:
1-75 2-105 3-35
Step-by-step explanation:
1- 180-75-30=75
2- 180-75=105
3- 180-105-40=35
A regular dodecagon (12 sided polygon) is rotated n degrees about it's center, carrying the dodecagon onto itself. What is the minimum number of degrees it must be rotated to carry the dodecagon onto itself? *
A. 30 degrees
B. 15 degrees
C. 60 degrees
D. 90 degrees
Which one?
Answer:
30 degrees
Step-by-step explanation:
Ryan conducted a 6 day study observing the effects of an organic plant food on the growth of his sprouting bean plant. He tracked these two pieces of info:
1. The amount of plant food remaining in the container after each days study.
2. The height of the plant over time.
Ryan found that the amount of plant food remaining decreased an equal amount each day. He used the entire 72 millimeters by the end of his study. Question
Determine the domain and the range for this relationship.
0≤y ≤6
0 ≤x ≤72
{0, 12, 24, 36, 48, 60, 72}
0 ≤x ≤6
{0,1,2,3,4,5,6}
{0,6,12,18,24,30}
0 ≤y ≤72
Answer:
Domain: [tex]0\leq x\leq 6[/tex]
Range: [tex]\{0, 12, 24, 36, 48, 60, 72\}[/tex]
Step-by-step explanation:
Let [tex]y[/tex] or [tex]f(x)[/tex] be equal to the amount of plant food that remains after each day.
[tex]x[/tex] be the number of days that have passed.
Total amount of plant food used is 72 mm.
Number of days the experiment goes on is 6 days.
Plant food used each day is [tex]\dfrac{72}{6}=12\ \text{mm}[/tex].
So, the function will be
[tex]y=f(x)=72-12x[/tex]
at
[tex]x=0,y=72[/tex]
[tex]x=1,y=72-12\times 1=60[/tex]
[tex]x=2,y=72-12\times 2=48[/tex]
[tex]x=3,72-12\times 3=36[/tex]
[tex]x=4,72-12\times 4=24[/tex]
[tex]x=5,72-12\times 5=12[/tex]
[tex]x=6,72-12\times 6=0[/tex]
Value of [tex]x[/tex] is the domain which is [tex]0\leq x\leq 6[/tex].
Value of [tex]y=f(x)[/tex] is the range which is [tex]\{0, 12, 24, 36, 48, 60, 72\}[/tex].
You purchased concentrated cleaner that must be diluted (watered down)
before use. Container A is the cleaner, which is a 20% solution. Container B is
pure water. You are mixing together the contents of Container A and
Container B to produce 80 gallons of 5% solution. How many gallons from
each container are needed to create the 80 gallons of 5% cleaning solution?
Write your answers as integers only.
Container A: 20% Cleaning Solution =
gallons
Container B: Pure Water =
gallons
Answer:
The volume of the concentrated 80 gallons mixture is 20 gallons
The volume of water in the 80 gallons mixture is 60 gallons
Step-by-step explanation:
The given parameters are;
The content of Container A = The cleaner
The concentration of the cleaner = 20% solution
The content of Container B = Pure water
The concentration of the desired solution = 5%
The volume of the required solution = 80 gallons
Let x represent the volume of the concentrated solution and y represent the volume of water in the 80 gallons mixture
Therefore, we have;
20/100 × x + y×0 = 5/100×80
x + y = 80
y = 80 - x
20/100 × x + (80 - x)×0 = 5/100×80
0.2·x = 4
x = 4/0.2 = 20
x = 20 gallons
y = 80 - x = 80 - 20 = 60
y = 60 gallons
The volume of the concentrated solution (80 gallons mixture) = x = 20 gallons
The volume of water in the 80 gallons mixture = y = 60 gallons.
QUICK I REALLY NEED HELP
When playing a game, Noahs last 5 points in the last 3 turns. show how to use integers to determine the change in his score
Answer:
-5
Step-by-step explanation: Yeah i think its -5
Jordan created a scale drawing of a rectangular room. The drawing is 8 inches long by 6 inches wide. He used a scale of 1 inch equals 3 ft. What is the area, in the square feet, of the room?
Answer: 432 ft^2
Step-by-step explanation:
If 1"=3', and the box is 8"x6", then we can simply multiply the 8 and 6 by three. You would get 24 by 18.
Follow this up by the equation a=w*l to get
a=24*18 = 432 ft^2.
Please help me i don't understand. I will give points for explanation too.
Answer:
The first one
Step-by-step explanation:
4x - 3y = 15 .first you subtract the 4x from both sides to get it in correct form
-3y = -4x + 15 . Then you divide both sides by -3 to isolate the y
y = 4/3x - 5 . Then you are left with this answer
Answer:
y = 4/3x - 5 (first answer on your photo)
Step-by-step explanation:
4x - 3y = 15
4x - 3y = 15 (we use -4x)
-3y = 15 - 4x (divide by -3)
y = 4/3x - 5
A news report says that 9% of middle school students are on the track team. There are 600 students in your middle school How many students in your school would you expect to be on the track team? HE Pad SATTE BAR HG West nus SAUNA w 1
Answer: 54
9% of 600 would be 54.
why is sin(90 degrees) = 1. I know that that is the answer you get when you plug it into a calculator. I need an explanation as to why it equals 1
Answer:
Sin 90 = 1/1 = 1
Use trigonometry formula and a triangle with lengths of 1
Tyra buys 14 gallons of gas for $35. How could she figure out how much 1 gallon of gas cost her?
A
Write the fraction 14 gallons/$35, and divide the top and bottom by 35.
B
Write the fraction $35/14 gallons, and divide the top and bottom by 14.
C
Write the fraction $35/14 gallons, and multiply the top and bottom by 14.
D
Write the fraction 14 gallons/$35, and subtract 35 from the top and bottom.
Vincent is selling candy bars to raise money for his soccer team. He started with a full box of 20 candy bars and has sold
3
10
of them so far. If each candy bar costs $1.25, how much money has Vincent raised?
We conclude that Vincent has raised a total of $7.50
how much money has Vincent raised?
We know that initially, he has 20 candy bars.
He sells 3/10 of that total number, so the number of candy bars sold is:
N = (3/10)*20 = 6 candy bars.
And sells each for $1.25, so the total amount that has Vincent raised is:
R = 6*$1.25 = $7.5
We conclude that Vincent has raised a total of $7.50
If you want to learn more about fractions:
https://brainly.com/question/11562149
#SP1
A line passes through (0, 2) and has a slope of 13 .
What is the equation of the line in slope-intercept form?
y=13x+2
y=13x−2
y=−13x+2
I don't know.
Answer:
y=1/3x+2
Step-by-step explanation:
Assuming that all of the '13' 's are suppost to be 1/3, it is y=1/3x+2
The equation of the line in slope intercept form is
[tex]y= \frac{1}{3} x+2[/tex]
Given :
A line passes through (0, 2) and has a slope of 1/3
The equation of a line in slope intercept form is y=mx+b
where m is the slope and b is the y intercept
From the given information , we know that slope [tex]m=\frac{1}{3}[/tex]
The line passes through (0,2) that is our y intercept b
b= 2
Replace slope [tex]m= \frac{1}{3}[/tex] and b=2 in slope intercept form y=mx+b
[tex]y= \frac{1}{3} x+2[/tex]
The equation of the line in slope intercept form is
[tex]y= \frac{1}{3} x+2[/tex]
Learn more : brainly.com/question/25704074
4x²-6xy
PLZ
HELP
I
GIVE
5
STARS
yep I get the same thing what the other person is right
Which of the following statements best describes the location of -(-6) on a number liner
A. It is 6 units to the left of 0.
B. It is 6 units to the night 6.
C. It is 6 units to the right of 0.
D. It is 6 units to the left of 6.
(-2)^3=
Answer:
[tex]\left(-2\right)^3=-8[/tex]
Step-by-step explanation:
Given the expression
[tex](-2)^3[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=-a^n,\:\quad \mathrm{if\:}n\mathrm{\:is\:odd}[/tex]
[tex]\left(-2\right)^3=-2^3[/tex]
[tex]=-2^3[/tex]
[tex]=-8[/tex] ∵ [tex]2^3=8[/tex]
Therefore,
[tex]\left(-2\right)^3=-8[/tex]
Which property is used in the following expression ? 8(2 + 7) = 16 + 56
Answer:
Distributive property
Step-by-step explanation:
Help!! I will mark brainiest!!
Answer:
b = 148.5052112
Step-by-step explanation:
To find the value of b we will use the trigonometry functions
∵ The triangle is a right triangle
∵ The measure of one of its acute angles = 68°
∵ The length of the side opposite to the angle of measure 68° is b
∴ The opposite side = b
∵ The length of the side adjacent to the angle of measure 68° is 60
∴ The adjacent side = 60
∵ The function tan(x) = [tex]\frac{opposite}{adjacent}[/tex]
∴ tan(68°) = [tex]\frac{b}{60}[/tex]
→ Multiply both sides by 60 to cancel the denominator of the right side
∴ 60 × tan(68°) = b
∴ 148.5052112 = b
∴ b = 148.5052112
Answer:
b = 148.5052112
Step-by-step explanation:
Study circle C, where diameter AB is perpendicular to chord MN at point O.
The diagram as described in the text.
If MO = 5x − 7 and NO = 18, what is the value of x?
Enter the correct value.
Answer:
5
Step-by-step explanation:
Since a line splitting a chord that goes through the circle and is perpindicular to that chord is always the midpoint.
5x-7 = 18
5x = 25
x = 5
The answer to question and to the value of x is 5
Can someone please tell me if the following relations are functions please?
Find the measures of ∠B and ∠C given that m∠B=(2.5x+6)∘ and m∠C=(7x−12)∘.
The figure shows triangle A B C. Side A B is congruent to side A C.
answers are one of the following
∠B = 4° and ∠C = 4°
∠B = 16° and ∠C = 16°
∠B = 20° and ∠C = 20°
Answer:
since AB=AC it is an isosceles triangle so ...
Step-by-step explanation:
angle B = angle C
2.5x + 6 = 7x - 12
4.5x = 18
therefore x = 4
substituting the value of x we get answer
angle B = 16
angle C = 16
factor 7x+35 PLEASE HELP
Answer:
7(x+5)
Step-by-step explanation:
The greatest common factor is 7
7*x + 7*5
Factor out the 7
7(x+5)
please help asap! it’s 1-10!
Answer:
1. yes, 3:2
2. no, population has an unproportional rate of change.
3. no, miles have an unproportional rate of change.
4. yes, 8:1
5. no, questions have an unproportional rate of change.
6. yes, 5:2
7. yes, 9:1
8. no, pounds have an unproportional rate of change.
9. no, days have an unproportional rate of change.
10. yes, 3:1