Answer:
(x-2),(x-1),(x), and(x+1)
Step-by-step explanation:
In this scenario, we are given nothing about the polynomial except its graph. We can start in problems like these by looking at when y=0 and going from there.
In this graph, we can see that y=0 when x=2, 1, 0, and -1. Looking at our options, for y to be 0, there must be a factor where, when we plug x=2 in, y=0. The only option here is (x-2). Similarly, for x=1, we have (x-1), for x=0, we have x, and for x=-1, we have (x+1). The polynomial has 3 turning points, so the polynomial must be of degree 4 or higher.
So far, we have (x-2)(x-1)(x)(x+1). Plugging this in to a graphing calculator, we can see that this fits. To check if x²+2 and x²+1 would work here, it would require guess and check with values/graphing calculators, seeing if they fit. For example, when x=1.5, y is greater than -1 on the graph and our function. However, if we multiplied that by x²+1 or x²+2. when x=1.5, y would balloon downward, and the graph wouldn't fit
24. Ninety-four percent of NCSU transfers feel that their college adequately prepared them to handle upper-division coursework at their transfer university. We randomly survey 14 NCSU transfers. We are interested in the number that feel that their college adequately prepared them to handle upper division coursework at their transfer university. Find the probability that more than half felt that they were prepa
Answer:
The answer is "[tex]0.99999340657 \sim 1[/tex]".
Step-by-step explanation:
[tex]Sucess \ probability \ (p) = 94\% \ or\ 0.94\\\\Sample\ numbers\ n = 14\\[/tex]
Using formula:
[tex]P(X=r)= ^n C_r \times p^r \times (1-p)^{n-r}[/tex]
Let
[tex]\to r=8,9,10,11,12,13 \ or\ 14\\\\[/tex]
Substituting the value for all r:
[tex]P(X=8)= 0.00008540547\\\\P(X=9)= 0.00089201264\\\\P(X=10)= 0.00698743233\\\\P(X=11)= 0.03980719025\\\\P(X=12)= 0.15591149513\\\\P(X=13)= 0.37578668058\\\\P(X=14)= 0.42052319017\\[/tex]
Therefore,
[tex]P(X>7)= P(X=8)+P(X=9)+....P(X=14)\\\\= 0.99999340657 \sim 1.[/tex]
telling time in intervals
Answer:
A. 5:12 B. 12:51
Step-by-step explanation:
. Use the smaller hand as the hour hand and the bigger hand to track each minute.
tres hermanos comieron un octavo de pizza cada uno y al día siguiente se repartieron lo que queda por partes iguales sin que sobrara ¿qué fracción de la pizza le tocó a cada uno?
el que me responda con operación le doy corona pero lo necesito a las 11:5
Answer:
3 hermanos comieron 1/8 de pizza cada uno y al dia siguiente se repartieron lo que quedó por partes iguales sin que sobrara que fraccion de pizza le toco a cada uno?
Step-by-step explanation:
Which phrase best describes f(x), graphed on the coordinate plane below?
A.f(x) is an odd function.
B. f(x) is an even function.
C. f(x) is both odd and even.
D. f(x) is neither odd nor even.
Answer:
D
Step-by-step explanation:
What function is graphed below?
6
4
2.
2
-6
6
х
O y=-4x4
O y - 4x4
O y=-5x5
O y = 5x5
Answer:
6
Step-by-step explanation:
the function is a slated function a tree
Bakery has bought 250 pounds of muffin dough. They want to make waffles or muffins in half-dozen packs out of it. Half a dozen of muffins requires 1 lb of dough and a pack of waffles uses 3/4 lb of dough. It take bakers 6 minutes to make a half-dozen of waffles and 3 minutes to make a half-dozen of muffins. Their profit will be $1.50 on each pack of waffles and $2.00 on each pack of muffins. How many of each should they make to maximize profit, if they have just 20 hours to do everything?
Answer:
650
Step-by-step explanation:
The number of packets of waffles is W
and the number of muffins are M
The weight of dough is 250 pounds and a pack of muffins requires 1 lb of dough whereas a pack of waffles uses 3/4 lb of dough.
3÷4W+M≤250
Multiplying both sides by 4
3W+4M≤1000
It takes bakers 6 minutes to make a packer of waffles and 3 minutes to make a pack of muffins, the total time available is 20 hours or 1200 minutes.
3M+6M≤1200
Minus the initial equation from the new equation:
(3M+6M≤1200)−(3W+4M≤1000)
2M≤200
Dividing equation by 2
M≤100
For M≤100
3W+4M≤1000
3W≤1000−4M
For the Maximum values of M
the least value of W is obtained
3W≥1000−4×100
3W≥600
Dividing the equation by 3
W≥300
For maximum profit, the number of waffles and muffins is taken as 300 and 100 respectively :
1.5∗300+2∗100
=650
factor the expression completely
8x^2-18
Step-by-step explanation:
8
2
−
1
8
8x^{2}-18
8x2−18
2
(
4
2
−
9
)
Answer:
2(2x - 3)(2x + 3).
Step-by-step explanation:
8x^2 - 18
= 2(4x^2 - 9)
= 2(2x - 3)(2x + 3).
a farmer sold 2/5 of his cows and another 10th was stolen he then gave 20% of the cows that was left what percentage of the cows is left
Answer:
4/5 of the cattle is left
Step-by-step explanation:
Given,
A farmer sells 2/5 of his cattle
Let "x" be the total number of cattle
Then,
sold = 2 / 5 x
Then,
Remaining = x - 2x / 5
remaining = 3x / 5
He gives 1/3 of the remainder to his son
son = 1 / 3 × 3x / 5
son = x / 5
Then,
Remaining = 3x / 5 - x / 5
Remaining = 4x / 5
Hope this answer helps you :)
Have a great day
Mark brainliest
Thus 4/5 of the cattle is left
Answer: answer
Step-by-step explanation:4/5 of the cattle is left
Janice wants to find the area of a square tabletop. She uses the formula for the area of a square: A=8x2 where 8 is the length of one side of the square .if 8=3 feet what is the area of the tabletop?
Answer:
12
Step-by-step explanation:
because you replace 8 with 3
Three numbers have a mean of 12 and a mode of 9. What are the three numbers?
Answer:
The three numbers are : 9, 9 and 18
Step-by-step explanation:
Since the mean is 12 the sum of the three numbers must be 36. This is because:
(let the three numbers be x y and z)
(x+y+z)/3=12
(x+y+z)=12*3
(x+y+z)=36
And since the mode is 9 two of the numbers must be 9.
So to find the third number;
9+9+z=36
z=36-18
z=18
3. Use a table of values to solve f(x) = g(x), where f(x) = x2^ – 8x - 15 and g(x) = - 4x + 6. Show your table
and your work.
Answer:
Step-by-step explanation:
[tex]f(x) = g(x)\\\\x^2 - 8x -15 = -4x +6\\\\x^2 - 8x -15 +4x -6 = 0\\\\x^2 -4x -21 = 0\\\\x^2 -7x + 3x -21=0\\\\x(x-7)+3(x-7)=0\\\\(x+3)(x-7)=0\\\\x= -3, 7[/tex]
x = -3 , 7
Step-by-step explanation:f (x) = g(x)
x ² − 8x −15 = −4x + 6
x ² − 8x − 15 + 4x − 6 = 0
x ² −4x−21 = 0
x ² −7x + 3x −21 = 0
x ( x − 7 ) + 3( x − 7 ) = 0
( x + 3 ) ( x − 7 ) = 0
x = −3, 7
Simplify the expression (u-1)(u-4)(u+5)
Answer: D
Step-by-step explanation:
Surface area helpp needed
Answer:
144 un²
Step-by-step explanation:
Front Parallelogram = 5 x 11 = 55
Two triangles = 3 x 4 = 12
Back Parallelogram = 3 x 11 = 33
Bottom rectangle = 4 x 11 = 44
Total =
55 + 12 + 33 + 44 = 144
units = un²
144 un²
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
There’s 2 arcade areas and 1 swimming pool. What is the arcade area to swimming pool ratio?.
Answer:
Yeah, the person above me is right. It's 2:1
Step-by-step explanation:
There are 2 arcade areas and 1 swimming pool. the arcade area to swimming pool ratio is 2: 1.
What is the ratio of two quantities?Suppose that we've got two quantities with measurements as 'a' and 'b'
Then, their ratio(ratio of a to b) a:b
or
[tex]\dfrac{a}{b}[/tex]
Remember that the ratio should always be taken of quantities with same unit of measurement.
Also the ratio is a unitless(no units) quantity.
There are 2 arcade areas and 1 swimming pool.
The arcade area to swimming pool ratio is 2: 1.
Learn more about ratios here:
brainly.com/question/186659
#SPJ2
write all trigonometric values
Answer:
Step-by-step explanation:
[tex]\theta[/tex] 0° 30° 45° 60° 90°
[tex]Sin \theta[/tex] [tex]0[/tex] [tex]\frac{1}{2}[/tex] [tex]\frac{\sqrt{2}}{2}[/tex] [tex]\frac{\sqrt{3} }{2}[/tex] [tex]1[/tex]
[tex]Cos \theta[/tex] [tex]1[/tex] [tex]\frac{\sqrt{3} }{2}[/tex] [tex]\frac{\sqrt{2} }{2}[/tex] [tex]\frac{1}{2}[/tex] [tex]0[/tex]
[tex]Tan \theta[/tex] [tex]0[/tex] [tex]\frac{1}{\sqrt{3} }[/tex] [tex]1[/tex] [tex]\sqrt{3}[/tex] ∞
Answer:
Step-by-step explanation:
sin A=opposite/hypotenuse
cos A=adjacent/hypotenuse
tan A=opposite/adjacent
cosec A=hypotenuse/opposite
sec A=hypotenuse/adjacent
tan A=adjacent/hypotenuse
Hope this helps u!!
5690 as standard form
Answer:
It already is in standard form btw
Step-by-step explanation:
Answer:
5690 is standard form
five thousand six hundred ninety is word form
5000+600+90 is expanded form
hope this helps
have a good day :)
Step-by-step explanation:
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Mira inserts a key into a keyhole to open the door. She turns the key through 156 one-degree angles.
What is the angle measure of the turn that the key made?
9514 1404 393
Answer:
156° or 13π/15 radians
Step-by-step explanation:
156 times 1° is 156°.
In radians, the angle measure is (156°)(π/180°) = 13π/15 radians.
1.If X and Y are two points on a number line, then the distance between them is represented by _______.
2.The segment addition postulate can only be used for the points that are _______.
Answers:
Either |x-y| or |y-x|collinear=======================
Explanations:
To find the distance, we subtract the two values. Absolute value is used to ensure the result isn't negative. Notice how something like 5-2 = 3 and 2-5 = -3, so we can say |5-2| = 3 and |2-5| = 3 so we don't get a negative distance. In general for x and y, the distance between them is either |x-y| or |y-x| as they represent the same distance. So on a number line, |x-y| = |y-x|.The segment addition postulate is the idea where we can break up a large segment into smaller pieces. We can then glue those pieces back together to get the larger segment again. This only works if all points are on the same line. If all points are on the same straight line, then we consider them to be collinear.Answer:
1. XY
2. collinear
Step-by-step explanation:
When labeling points on a number line we designate identify the points with Capital letters and the distance between is represented by putting the two letters together.
for question two the definition of collinear means=(of points) lying in the same straight line.
How many gallons of fuel are needed for a Boeing 747 to travel from
Accra, Ghana to Callao, Peru?
Hey does anyone know how to solve this need an answer quickly
Geometry need to find the lengths of DE , EF AND DF , respectively? ASAP
Answer:
option D
because every length is one fifth of the corresponding length of the bigger triangle
8. Are these ratios equvalent?
9: 3 arid 15:5 and 3:1
Answer:
Yes
Step-by-step explanation:
3:1 x 3 = 9:3
3:1 x 5 = 15:5
how can i solve the following
4x-3=2x+7
Answer:
x = 5
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x.
Add 3 and subtract 2x from both sides of the equation:
4x (-2x) - 3 (+3) = 2x (-2x) + 7 (+3)
4x - 2x = 7 + 3
2x = 10
Next, isolate the x by dividing 2 from both sides of the equation:
(2x)/2 = (10)/2
x = 10/2
x = 5
5 is your answer for x.
~
Answer:
x=5
Step-by-step explanation:
4x-3=2x+7
Subtract 2x from each side
4x-2x-3=2x-2x+7
2x -3 = 7
Add 3 to each side
2x-3+3=7+3
2x = 10
Divide by 2
2x/2 =10/2
x = 5
Please show process I WILL GIVE BRAINLY
Answer:
your image has the answer
Step-by-step explanation:
you can go type triangle calculator and type in everything
Three people are sitting on a bus. Belle is seated 4 meters directly behind Diego and 3 meters directly left of Reba. How far is Diego from Reba?
If 3 out of 10 mammalian cell cultures exposed to ultraviolet (UV) radiation developed chromosomal abnormalities while 9 out of 10 mammalian cell cultures developed chromosomal abnormalities when exposed to UV radiation plus a common NSAID (nonsteroidal anti-inflammatory drug).
a. What is the type of study design?
b. Which parameter (s) can be determined? Calculate it.
c. Explain the results.
Answer:
a) Observational Study
b) Risk in observational study
RR = 9/10/3/10 = 3.0
c) Relative risk when exposed to a common NSAID is 3 out of 10 people
Step-by-step explanation:
A) This is observational study
b) The parameter determined here is the risk in observational study
RR = 9/10/3/10 = 3.0
c) Relative risk of mammalian cell to develop chromosomal abnormalities when exposed to a common NSAID is 3 out of 10 people
graph below represents to read that Suzy hops across the lawn the equation represents the rate at which suzy's little sister jessica hops across lawn. Jessica gets a 15 meter head start. Who would you predict to win 60 meter hopping race?
A)Suzy
B)Jessica
C)They would tie
D)They would not complete 60 meters
calculate the volume of each cone. Use 3.14 for π. Round the answer to the nearest hundredth if necessary.
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]113.04\text{in}^3[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boexd{\text{The Volume of a Cone is...}}\\\\V=\pi r^2\frac{h}{3}\\\\\boxed{\text{Key:}}\\\\r - \text{radius}\\h- \text{height}[/tex]
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the Volume:}}\\\\V = (3.14)6^2\frac{3}{3}\\\\V=(3.14)36\frac{3}{3}\\\\V=\boxed{113.04}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
II. We learned in Exercise 3.25 that about 70% of 18-20 year olds consumed alcoholic beverages in 2008. We now consider a random sample of fifty 18-20 year olds. (a) How many people would you expect to have consumed alcoholic beverages
Answer:
You would expect for 35 people to have consumed alcoholic beverages.
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they consumed alcoholic beverages, or they did not. The probability of a person having consumed alcoholic beverage is independent of any other person. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
We learned in Exercise 3.25 that about 70% of 18-20 year olds consumed alcoholic beverages in 2008.
This means that [tex]p = 0.7[/tex]
We now consider a random sample of fifty 18-20 year olds.
This means that [tex]n = 50[/tex]
How many people would you expect to have consumed alcoholic beverages
[tex]E(X) = np = 50*0.7 = 35[/tex]
You would expect for 35 people to have consumed alcoholic beverages.
Undefined geometric term that is described as two dimensional set of points that has no beginning or end
Answer:
Plane
Step-by-step explanation:
There are three undefined geometric terms:
1. Point: A point is just a location. It has no size.
2. Line: A line has no width and extends infinitely in one dimension.
3. Plane: A plane extends infinitely in two dimensions.
So the answer is plane.
