Answer:
f(x)= x^3+x^2-16x-16
By the factor theorem,
f(4)=4^3+4^2-(16×4)-16 =0
Since f(4)=0, (x-4) is a factor of x^3+x^2-16x-16
Step-by-step explanation:
Which of the following segments is a diameter of o
O?
Answer: A
Step-by-step explanation:
The segment passes through the center of the circle, O, and its endpoints lie on the circumference of the circle.
The segment ZX is the diameter of the circle O. Then the correct option is A.
What is a circle?It is the center of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
The diameter of the circle is the longest chord that is passing through the center of the circle.
The segment ZX is the diameter of the circle O.
Then the correct option is A.
More about the circle link is given below.
https://brainly.com/question/11833983
#SPJ5
Six students are running for the positions of president and vice-president, and five students are running for secretary and treasurer. If the two highest vote getters in each of the two contests are elected, how many winning combinations can there be?
Using the permutation formula, it is found that there can be 600 winning combinations.
There are roles involved(president, vice-president, secretary and treasures), hence the order is important and the permutation formula is used.
What is the permutation formula?The number of possible permutations of x elements from a set of n elements is given by:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this problem:
For president and vice-president, 2 students are chosen from a set of 6.For secretary and treasurer, 2 students are chosen from a set of 5.Hence:
[tex]T = P_{6,2}P_{5,2} = \frac{6!}{4!} \times \frac{5!}{3!} = 30 \times 20 = 600[/tex]
There can be 600 winning combinations.
More can be learned about the permutation formula at https://brainly.com/question/25925367
Please help!! this is due in 2 hours!!
Step-by-step explanation:
AB/BD=AC/CE
12/8=15/CE
12CE/12=120/12
CE=10
The population of a city decreases by 4.3% per year. If this year's population is p, which expression represents next year's population?
What is the equation of a line that passes through (-1,2) and (1,8)?
Answer:
y=3x+5
Step-by-step explanation:
first you find the slope by doing rise over run. then you would put the slope into point-slope formula which is y-y1=m(x-x1), then you simplify into y=mx+b (slope intercept form). which gets you your final answer.
help me with geometry please
answer
x=180-87-33
= 60
Mrs. Juarez graded ten English papers and recorded the scores.
92, 95, 100, 62, 88, 90, 100, 96, 89, 98
Which statements are true? Check all that apply.
The range of scores is 38.
Without the outlier, the range of scores would be 12.
The outlier impacts the range more than it impacts the interquartile range.
The interquartile range is 9.
The interquartile range is 4.
Without the outlier, the interquartile range would be 9.5.
Answer:
THE ONLY STATEMENT THAT IS FALSE IS THE NUMBER 5.
Step-by-step explanation:
Table of ordered data
number of value
data
1 62
2 88
3 89
4 90
5 92
6 95
7 96
8 98
9 100
10 100
Range of scores: 100 - 62 = 38
Oulier: 62 => Range without the outlier = 100 - 88 = 12
Interquartile range, IQR, = difference between third quartile and first quartile: IQR = Q3 - Q1
Quartlies of all the data:
1 62
2 88
3 89 --------------- first quartile, Q1 = 89
4 90
5 92
------------------------------------------ median, Q2 = (95 + 92) / 2 = 93.5
6 95
7 96
8 98 ---------------- third quartile, Q3 = 98
9 100
10 100
=> IQR = 98 - 89 = 9 : the interquartle range is 9
Quartlies without the outlier:
2 88
3 89
------------------------------------- first quartile, Q1 = (89 + 90) / 2 = 89.5
4 90
5 92
6 95 --------------- median, Q2 = 95
7 96
8 98
------------------------------------ third quartile, Q3 = (98 + 100) / 2 = 99
9 100
10 100
=> IQR = Q3 - Q1 = 99 - 89.5 = : the interquartle range without the outlier is 9.5
Therefore, the outlier impacts more the range than it impacts the IQR.
THE ONLY STATEMENT THAT IS FALSE IS THE NUMBER 5.
Use the figure for Exercises 17-23. Write true or false. If a statement is false,
rewrite it so it is true.
Answer:
17. False: ∠QUR is a right angle.
18. True
19. False: change supplementary into complementary.
20. True.
21. False: change 40 into 55.
22. False: change the second 150 into 30.
23. False: change 180 into 90.
I need help 20 points!
Answer:
192 cm3
Step-by-step explanation:
The volume of any pyramid is 1/3 × b × h, where b = area of base of the pyramid and h = height of the pyramid.
In this case, the dimensions for the base are 6 and 8.The height is 24Area of Base:
[tex]\frac{6*8}{2}[/tex] [tex]48/2[/tex] [tex]24[/tex]Now, we multiply 24 by 24.
[tex]24*24[/tex] [tex]576[/tex]Lastly, we divide by 3.
[tex]576/3[/tex] [tex]192[/tex]Therefore, the answer is 192 cm^3.
I need help please help!
Answer:
50.5 m^3
Step-by-step explanation:
Volume of pyramid = 1/3 × base area × height.
Height: 11Base Dimensions: 4.3 and 3.2Area of Base:
[tex]4.3 * 3.2[/tex] [tex]13.76[/tex]Next, we multiply 13.76 by 11.
13.76 × 11151.36Lastly, divide by 3 and round to nearest tenth.
151.36 ÷ 3 50.453333..≈ 50.5Therefore, the answer is 50.5 m^3
(2,-2) and m=3 Find the slope intercept.
y= mx=b.y= 3x-8
Step-by-step explanation:
lmk if its wrong
The multiple choices are 29,58,111,116,444 please explain to me I'm confuse
can someone please help
Answer:
-24xy
Step-by-step explanation:
First:
6x-4= -24
Second Add the variable:
-24xy
Third: Solution
-24xy
It takes 3 hours of 10 pumps to pump 40000 liters of water into a farm dam.How long will it take nine similar pumps to pump 60000 liters of water into the dam
It will take 5 hours to pump 60000L of water using 9 pumps
Data;
10 pumps = 40000L in 3 hours9 pumps = 60000L in x hoursRate of the PumpRate = Time * number of pumps
[tex]\frac{a}{3*10} = \frac{60000}{40000}\\ \frac{a}{30} = \frac{6}{4} \\a = 45[/tex]
But since we've established the equation above, let's substitute the values and solve for the time required to pump 60000L into the dam using 9 pumps as compared to 10 pumps. We can easily do this by calculating the rate of the pump.
Rate = time * number of pumps
[tex]45=x*9\\x = \frac{45}{9} \\x = 5 hours[/tex]
It will take 5 hours to pump 60000L of water using 9 pumps
Learn more on rate of flow here;
https://brainly.com/question/21630019
=
The scale on a map reads 0.5 inches = 75 miles. The distance between two
cities on the map is 3.25 inches, find the actual distance between the
cities.
Answer:
0.5inches=75miles
[tex]3.5 = 75 \times 7 = 525[/tex]
so it means the distance between the two towns is 525miles
Find the measure of each bolded arc. Round to the nearest hundredth. Any help I will give 5 stars and a thanks!
Answer:
Step-by-step explanation:
5.4×18 =
pls explain properly
Answer:
[tex]5.4x18 = 97.2[/tex]
Step-by-step explanation:
5.4
×
18
=97.2
Answer:
4x18=72 that's the correct answer I use calculator
What is the slope of the line that passes through (-4,2) and (6,-8)
Answer:
y = x + -2
Step-by-step explanation:
I know you're probably asleep but here's the answer. And I'm 14 years old, so I might be young and undereducated.
(-4,2) and (6,-8)
-8-2 = -10
6 -(-4) = 10 (-10/10 = -1)
-8 = 6(-1) + b
-8 = -6 + b
-2 = b
help Pleaseeeeee im begging
Answer:
The answer should be C
Answer:
[tex]f^{-1}(7)=2[/tex]
Step-by-step explanation:
[tex]f^{-1}(7)[/tex] means substitute x = 7 into the inverse function [tex]f^{-1}[/tex]
[tex]\implies f^{-1}(7)=\frac{7-1}{3} =2[/tex]
a herd of 27 horses and 4 white and some black horses. what is the ratio of white to black
Answer:
4:23
Step-by-step explanation:
4 to 23 is the ratio because if some is representing the rest of the horses then there is 23 black and 4 white so 4 to 23 is the ratio of white to black horses.
Hope it helps have a great day :)
Solve for c.
4(3+ c) +c=c+4
Step-by-step explanation:
[tex]4(3 + c) + c = c + 4 \\ 12 + 4c + c = c + 4 \\ 12 + 5c = c + 4 \\ 12 + 4c = 4 \\ 4c = 4 - 12 \\ 4c = - 8 \\ c = - 2[/tex]
A line passes through the points (4,22) and (8,26) Write a linear function rule in terms of x and y for this line.
Answer:
y = x + 18
Slope = 1
Intercept = 18
Step-by-step explanation:
I feel like this graph would be better at describing it than words. Basically, for every time that it goes up once, it also goes over once, and it starts at the height of 18.
what is the unit rate for 247 heartbeats in 612 minutes
Answer:
247/612
Step-by-step explanation:
247 heart beats / 612 minutes
beats/ minutes
There are 110 sixth-grade students in a Florida
middle school. 40% of the students enjoy playing
video games on the weekends. Using the percent
as a rate per 100, how many students enjoy
playing video games?
Answer:
44 students play video games
Step-by-step explanation:
110*0.40 = 44
i hope this helps! have a wonderful rest of ur day :)
Answer:
40/100
Step-by-step explanation:
40% of 110 is 44 so we make this a fraction 44/110 and then simplify to get 2/5 and after that we know that 2/5 is also 40/100, meaning 40 out of 100 students like video games.
How to find which trinomials are perfect square trinomials
Answer:
An expression obtained from the square of the binomial equation is a perfect square trinomial. If a trinomial is in the form
[tex]ax 2 + bx + c[/tex]
is said to be a perfect square, if and only if it satisfies the condition b 2 = 4ac.
Step-by-step explanation:
hope it will help you have a great day bye and Mark brainlist if the answer is correct
[tex]kai6417[/tex]
assuming all variables are positive,. use the properties of logarithms to write an expression as a sum or difference log2(x^3y^8/5)
Answer:
hola es 553586;(8)5-?+&5%€3-+(?))%-!++533++&€3€-((+%6544-++86
what is y=-2(x+1)(x-2) in standard form
[tex] \leadsto \tt y=-2(x+1)(x-2)[/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto \tt y=-2(x {}^{2} - 2x + x - 2)[/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto \tt y=-2(x {}^{2} - x - 2)[/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto \tt y=-2x {}^{2} + x + 2[/tex]
Find the range of possible values for x.
Answer:
x is between 5 and 33 ⇒ 5 < x < 33Step-by-step explanation:
The two triangles have two equal side measures:
4 units and the sides marked as equal,The third side is different and the given angles are opposite them.
It means the angle measure 4x - 20 is smaller than 112:
4x - 20 < 1124x < 132x < 132/4x < 33On the other hand, the angle measure is positive:
4x - 20 > 04x > 20x > 5So the possible range of x is:
5 < x < 33First it must be positive
4x-20>04(x-5)>0x-5>0x>5And
4x-20<1124x<132x<33So solution range
(5,33)can someone help me pls
Answer:
20
Step-by-step explanation:
The grid lines are 1 unit apart, so you can determine the dimensions of the trapezoid by counting grid squares. The parallel bases have lengths 6 and 2. They are 5 units apart.
The area is given by ...
A = 1/2(b1 +b2)h
A = 1/2(6 +2)(5) = 20
The area of the trapezoid is 20 square units.
Please help me with this math problem!! Will give brainliest if correct! NO links please!
Answer:
equation: sin 20 = 15/x
x=43.86
Step-by-step explanation:
sin = opposite over hypotenuse = 15/x from the corner with angle 20