Answer:
x^2(x-4) + 3(x-4)
(x^2 + 3)(x-4)
Step-by-step explanation:
Can you please help me with this question
Answer:
0=0
1=10
2=15
3=20
Step-by-step explanation:
What I did was I multiplied each number by 5, then added 5.
Given the explicit formula, calculate the first four (4) terms.
1. f(n) = 9+8n
2. f(n)=8(n+1)-13
3. f(n)=65-9n
plz help me out
Answer:
Step-by-step explanation:
Given the following explicit formula, we are to calculate the first four (4) terms of the sequence.
1) f(n) = 9+8n
When n = 1
f(1) = 9+8(1)
f(1) = 17
when n = 2
f(2) = 9+8(2)
= 9+16
= 25
When n = 3
f(3) = 9+8(3)
f(3) = 33
when n = 4
f(4) = 9+8(4)
= 41
= 25
The first four terms are 17, 25, 33 and 41
2) f(n) = 8(n+1)-13
When n = 1
f(1) = 8(2)-13
f(1) = 3
when n = 2
f(2) = 8(3)-13
= 24-13
= 11
When n = 3
f(3) = 8(4)-13
f(3) = 32-13
= 19
when n = 4
f(4) = 8(5)-13
= 40-13
= 27
The first four terms are 3, 11, 19 and 27
3) f(n) = 65-9n
When n = 1
f(1) = 65-9(1)
f(1) = 56
when n = 2
f(2) = 65-9(2)
= 65-18
= 47
When n = 3
f(3) = 65-9(3)
f(3) = 65-27
= 38
when n = 4
f(4) = 65-9(4)
= 65-36
= 29
The first four terms are 56, 47, 38 and 29
Which statement is true about f(x) + 2 = 1/6 |x-3| ?
A) The graph of f(x) has a vertex of (–3, 2).
B) The graph of f(x) is a horizontal compression of the graph of the parent function.
C) The graph of f(x) opens downward.
D) The graph of f(x) has range of f(x) ≥ –2.
Answer:
Option D.
Step-by-step explanation:
Statement given,
f(x) + 2 = [tex]\frac{1}{6}|x - 3|[/tex]
Or f(x) = [tex]\frac{1}{6}|x-3|[/tex] -2
Parent function, g(x) = |x|
Absolute value function g(x) when shifted 3 units right,
g'(x) = |x - 3|
Vertically compressed by [tex]\frac{1}{6}[/tex] units and shifted 2 units down, then the new function will be
f(x) = [tex]\frac{1}{6}|x - 3|-2[/tex]
Characteristics of the graph of this function:
1). Vertex at (3, -2).
2). Vertical compression of the parent function by [tex]\frac{1}{6}[/tex].
3). Graph opens upwards.
4). Range of the graph f(x) is f(x) ≥ -2.
Therefore, Option D will be the answer.
Solve x
3x+6=42 please help me get this done
_______________________________
Solution,
3x+6=42
or,3x=42-6
or, 3x=36
or,X=36/3
X=12
The value of X is 12.
hope it helps
Good luck on your assignment
____________________________
Answer:
this can be solved by using transposition method let me tell you how
Step-by-step explanation:
3x+6=42
+6 will transpose to the rhs
=3x = 42 - 6 (+WILL BECOME - WHILE TRANSPOSING LHS TO RHS)
= 3x = 36
3x will transpose and will become division
= x = 36 /3
=x =12
the value of x is 12
what is a listed method in mathematics
Answer:
Listing method is a method to list all the elements separating each element by the comma and enclosing
Step-by-step explanation:
Find the distance between the points.
(4,6),(9,6)
Answer:
5
Step-by-step explanation:
Find the difference between coordinates:
(x²-x1) = (9 - 4) = 5
(y²-y1) = (6 - 6) = 0
Square the results and sum them up:
(5)² + (0)² = 25 + 0 = 25
Now Find the square root
Can anyone explain to me what I did wrong here? Thanks!
Answer:
B
Step-by-step explanation:
I think you are right
Hope it helps
the vertex of this parabola is at (4,-3). When the x-value is 5, the y-value is -6. what is the coefficient of the squared expression in the parabola's equation
Answer:
Step-by-step explanation:
The work form of this upside down parabola is
[tex]y=-|a|(x-h)^2+k[/tex]
It's VERY important that you remember that the negative value there in front of the absolute value of a just means that the parabola is upside down. a itself will not be negative (and we know that because of the absolute value symbols there!). Filling in the x, y, h, and k values we were given allows us to solve for the |a|:
[tex]-6=-|a|(5-4)^2-3[/tex] and
[tex]-6=-|a|(1)^2-3[/tex] and
[tex]-6=-|a|1-3[/tex] and
[tex]-6=-|a|(-2)[/tex] and
3 = -|a|
Again, the negative simply tells us the parabola is upside down, so the absolute value of a = 3, choice c.
Answer: The answer is -3!!!!!!!!!
Step-by-step explanation:
For each pair of congruent triangles, name the corresponding parts then complete the congruence statement
Answer:
First one
Step-by-step explanation:
HELP! ITS ABOUT SURVEYSSS EXPLANATION NEEDED
Answer:
B is the correct answer (Check the explanation below)
Step-by-step explanation:
Probability of boys who do play = 1593/2451 = 0.6499 or 64.99% (if you times by 100 to change to percentage)
Probability of boys who do not play =858/2451 = 0.35 or 35%
Probability of girls who do play = 1361/2996 = 0.4542 or 45.42%
Probability of girls who do not play = 1635/2996 = 0.5457 or 54.57%
Probability of boys and girls who play = 2954/5447 = 0.5423 or 54.23%
Probability of boys and girls who do not play = 2493/5447 =0.4577 or 45.77%
you can see the correct statement is
Probability of girls who do play = 1361/2996 = 0.4542 or 45.42%
total number of girls is 2996 and we found out almost 54% do not play and almost 45% play
URGENT!!!!! LAST QUESTIONS!!!!!!! WILL GIVE BRANLIEST!!!AT LEAST TAKE A LOOK!!!!!! PLS HELP!!!URGENT!!!!!
16. Which piece of information below will not help you prove that triangles ABC and DEF are congruent using ASA?
IF YOU REALLY LOOK YOU CAN SEE THE LETTERS BUT IN CASE HERE:
PIC BELOW ON THE LEFT TRIANGLE: A IS ON THE BOTTOM LEFT. B IS AT THE TOP, POINTY PART, C IS ON THE BOTTOM RIGHT
ON THE RIGHT TRIANGLE: D IS ON THE BOTTOM LEFT. E IS AT THE TOP, POINTY PART, F IS ON THE BOTTOM RIGHT
A) AC=DF
B) AB=DE
C) B=E
D) A=D
Answer: A) AC=DF
Step-by-step explanation:
Angle-Side-Angle (ASA) Postulate: If 2 angles and the included side of one triangle are congruent to 2 angles and the included side of another triangle, then the triangles are congruent.
Answer A is the only one that wouldn’t help you prove that these triangles are congruent.
A quadrilateral-shaped land property is drawn on a coordinate grid. Two adjacent sides of the property lie along the lines y = 4x + 8 and y = – 0.25x – 9, with one corner of the property at the intersection point P of the lines. One of these sides ends at an oak tree located at (–1, 4) and the other side ends at a pine tree located at (4,–10).
What are the coordinates of the point where the two lines intersect?
Answer:
P(-4,-8)
Step-by-step explanation:
Given two lines:
[tex]y = 4x + 8;$ and $ \\y = -0.25x - 9[/tex]
To determine the point of intersection P of the lines, we equate the two lines and solve for (x,y).
[tex]4x + 8= -0.25x - 9\\4x+0.25x=-9-8\\4.25x=-17\\$Divide both sides by 4.25$\\x=-4\\$Recall:$\\y = 4x + 8\\=4(-4)+8\\=-16+8\\=-8[/tex]
Therefore, the intersection point P of the lines is: P(-4,-8)
DEFG is an isosceles trapezoid. Find the measure of 2 G.
Answer:
B
Step-by-step explanation:
In an isosceles trapezoid the upper base angles are congruent, thus
∠ G = ∠ D = 121° → B
Answer:
121
Step-by-step explanation:
i took the quiz
What number is the arrow point at?
Answer:
see below
Step-by-step explanation:
The lines in between 2 and 3 are splitting it up into 5ths and because the arrow is pointing to the fourth one the answer is [tex]2\frac{4}{5}[/tex].
can someone help and explain
Answer:
12 4/3 =40
Step-by-step explanation:
I hope that help u
The interior angles of a triangle are 60,45and 75.the shortest side is 10cm less than the longest side, determine the perimeter of the triangle to the nearest cm.include a diagram please and thank you!!
Answer:
20 cm.Step-by-step explanation:
We know that the permiter is defined as
[tex]P=L+S+M[/tex]
Where [tex]L[/tex] is the longest side, [tex]S[/tex] is the smallest and [tex]M[/tex] is the middle side.
If [tex]L=x[/tex] then, [tex]S=x-20[/tex], where we need to find an expression for [tex]M[/tex] using the law of cosines.
[tex]M^{2} =L^{2}+S^{2}-2 \times L \times S \times cos(60\°)\\M=\sqrt{x^{2}+(x-20)^{2}-x(x-20)}\\M=\sqrt{x^{2} +x^{2}-40x+400-x^{2}+20x}=\sqrt{x^{2}-20x+400}[/tex]
Replacing all expression, the perimeter is
[tex]P=x+x-20+\sqrt{x^{2}-20x+400}\\P=2x-20+\sqrt{x^{2}-20x+400}[/tex]
Using a calculator, the perimeter is 20 units centimeters.
Select the correct location on the image.
Shelly evaluated this expression using the order of operations, but she made a mistake. Which step includes Shelly's mistake?
2^2(3-8)divided by 5 - 1
Step 1
=2^2(-5)divided by 5-1
Step 2
4(-5) divided by 5 - 1
Step 3
-20 divided by 5 -1
Step 4
= -20 divided by 4
Step 5
= -5
Answer:
Step 4
Step-by-step explanation:
Given: Steps used by Shelly to evaluate the expression
To find: step that includes Shelly's mistake
Solution:
According to PEMDAS,
P denotes Parentheses
E denotes Exponents
M denotes Multiplication
D denotes Division
A denotes Addition
S denotes subtraction
Step 3 is [tex]-20\div 5-1[/tex] and step 4 is [tex]-20\div 4[/tex]
In step 4, first subtraction operation has been applied before the division operation.
There is a mistake in step 4 as according to PEMDAS, first -20 should be divided by 5 then 1 should be subtracted from the resultant number.
Answer:
Step 4 is correct for plato
Step-by-step explanation:
-20 divided by 4.
EASY question for y’all mathy people, easy points! Question in photo.
Answer:
C - 13
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
No need
Seventy of Myra’s classmates are traveling by bus to a football game in another town. They hired 2 buses, but there were only 64 seats. The remaining 6 students had to travel in a separate van.
The equation 2b + 6 = 70 represents the given scenario. What does b represent?
Answer:
32
Step-by-step explanation:
2b+6=70
-6=70-6=64
[tex]\frac{2b}{2}[/tex]=64÷ 2
b=32
beaten it's a visable line beween the equal line
At summer camp, some people collected pine cones.
1
2
3
4
5
6
Pine cones found
What is the range of the numbers?
Answer:
5
Step-by-step explanation:
The range is the largest minus the smallest; 6-1= 5
Plss brainliest
First, subtract the minimum from the maximum to find the range
6 - 1 = 5
so your range is 5
Please does know the answer
Answer:
69.08 cm
Step-by-step explanation:
Volume of each container
= l*b*h
= 20cm*30cm*50cm
= 30000cm ^3
= 0.03 m^3
The volume of 200 of these containers
= 0.03*200
= 6 m^3
The volume of the tank is also equal to 6m^3
Volume of tank = πr^2h
πr^2h= 6
πr^2= 6/4
r^2 = 6/4*7/22
= 42/88
= 0.477
r= √0.477
= 0.6908m
= 69.08cm
Answer:
Base radius = 69.08 cm.
Step-by-step explanation:
Volume of each container = 20*30*50
= 30,000 cm^3
200 of these has a volume of
200 * 30000
= 6,000,000 cm^3.
The volume of the cylinder = π r^2 h
= π r^2 * 400 = 6000000
r^2 = 6000000 / (π * 400)
r^2 = 4774.65
r = 69.08 cm.
Please help me with my question:))
Answer:
D
Step-by-step explanation:
Two lines are perpendicular when the product of their slopes = - 1
line 1: y = 3x + 4
(3 , 0) ; (-3,2)
[tex]slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{2-0}{-3-3}\\\\=\frac{2}{-6}\\\\=\frac{-1}{3}[/tex]
Slope of line 1 = 3
Slope of line 2 = -1/3
3* -1/3 = -1
Answer:
im sorry but you just need a chill pill
Step-by-step explanation:
Choco pies are cookies made from chocolate (c), sugar (s), and flour (. Chocolate costs $5 per pound, sugar costs
$3 per pound, and flour costs $2 per pound. You spend $50 on 18 pounds of food and buy twice as much flour as
sugar
Calvin wants to invest $12,000 in deposits. For tax purposes, he wants his total interest to be $600. He wants to put
$1000 more in a 2-year deposit than in a l-year deposit and invest the rest in a 3-year deposit. How much money
should he invest in each deposit?
Number of Years
Rate
2.0%
5.09
6.0%
1-year: $2200, 2-year: $3200, 3-year: $6600
1-year: $4000, 2-year: S5000, 3-year: $3000
1-year: S3200, 2-year: $4200, 3-year: $4600
1-year: $1000, 2-year: S2000, 3-year: $9000
Question :
justinapace7446
Yesterday
Mathematics
High School
+5 pts
Choco pies are cookies made from chocolate (c), sugar (s), and flour (. Chocolate costs $5 per pound, sugar costs
$3 per pound, and flour costs $2 per pound. You spend $50 on 18 pounds of food and buy twice as much flour as
sugar
Calvin wants to invest $12,000 in deposits. For tax purposes, he wants his total interest to be $600. He wants to put
$1000 more in a 2-year deposit than in a l-year deposit and invest the rest in a 3-year deposit. How much money
should he invest in each deposit?
Number of Years
Rate
2.0%
5.0%
6.0%
Answer:
1-year: $2200, 2-year: $3200, 3-year: $6600
Step-by-step explanation:
Assume y = Amount invested for 1 year.
y + 1000 = investment amount for 2 years
12000 - (y + y + 1000 ) = amount invested for 3 years
11000 - 2y = amount invested for 3 years
Total interest
Multiplying each by its corresponding rate
(0.02 × y) + (0.05 × (y+1000)) + (0.06 × (11000-2y)) = 600
0.02y + 0.05y + 50 + 660 - 0.12y = 600
-0.05y + 710 = 600
-0.05y = 600 - 710
-0.05y = - 110
y = 2200
Therefore first year = y = $2200
Investment for 2 years =y + 1000 = 2200 + 1000 = $3200
Investment for 3 years = 11000 - 2y = (11000 - (2*2200)) = (11000 - 4400) = $6600
Pencils that were selling at three for 25 cents are now on sale at five for 29 cents. How much money, in cents, would you save by buying 60 pencils at the sale price
Answer:
We would save $1.52 cents
Step-by-step explanation:
3 the pencil were at sale for 25 cent
1 pencil = 25 cent/3 =8.33 cent per one pencil
5 the pencil were at sale for 29 cent
1 pencil = 29 cent/5 =5.8 cent per one pencil
If we bought 60 pencil in group of 3 for 25 cent
=60/3= 20 pencil
25cents * 20 pencil = 500 cent per 60 pencil
If we bought 60 pencil in group of 5 for 29 cent
=60/5= 12 pencil
29cents * 12 pencil = 348 cent per 60 pencil
From the analysis, the 5 pencil for 29 cent is cheaper are we are going to save: 500-348= 152 cents
Can someone please help me on this????
the graph shows the speed of a vehicle during the final 50 seconds of a journey at the start of the 50 seconds the speed is k metres per second
Answer:
a) 27 m/s
b) 30 m/s
c) i) 3
ii) Deceleration
Step-by-step explanation:
The question is not complete, the correct question is given as:
The graph shows information about the speed of a vehicle during the final 50 seconds of a journey. At the start of the 50 seconds the speed is k metres per second. The distance travelled during the 50 seconds is 1.35 kilometres.
(a) Work out the average speed of the vehicle during the 50 seconds
(b) Work out the value of k.
(c) (i) Calculate the gradient of the graph in the final 10 seconds of the journey
(ii) Describe what this gradient represents
Answer:
The graph is attached. The total time = 50 seconds, total distance = 1.35 km = 1350 m
a) The average speed is the ratio of the total distance traveled to the total time taken to cover this distance. The average speed is given by the formula:
[tex]Average \ speed=\frac{total\ distance}{total\ time}\\ Substituting: \\ Average \ speed=\frac{1350\ m}{50\ s} = 27\ m/s[/tex]
b) From the graph, the total distance covered is the area of the graph. The graph is made up of a rectangle and triangle, the area of the graph is equal to the sum of area of rectangle and area of triangle.
[tex]Total \ distance=Total\ area=Area\ of \ rectangle+Area\ of \ triangle\\Total \ distance=(length *breadth)+\frac{1}{2}base*height\\1350 \ m=(40*k)+0.5*10*k\\1350=40k+5k\\45k=1350\\k=1350/45\\k=30\ m/s[/tex]c) i) The gradient in the last 10 seconds is the ratio of change in speed to change in time
[tex]Gradient=\frac{change\ in\ speed }{change\ in\ time}=\frac{0-k}{50-40} \\ bt \ k=30\\Gradient=\frac{0-30}{50-40}= \frac{-30}{10} =-3[/tex]
ii) Since the gradient is negative it means it is deceleration. That is in the in the last 10 seconds the vehicle decelerates at a rate of 3 m/s²
Answer:
Step-by-step explanation:
a)34 m/s
b) 40k=34
k=34/40
k=0.85 m/s
HELPPPPP PLZZZ
2) Tom can paint a fence in 12 hours. Huck can paint the same fence in 10 hours. How long would it take to put two coats of paint on the fence if Tom and Huck work together? Answer as an improper fraction, then round to 1 decimal place.
3) Kim and Josh can clean a house together in 3 hours. If it takes Kim 7 hours to clean the house by herself, how long would it take Josh to clean the house alone? Leave your answer in improper fraction form, then convert to a decimal.
4) Jack can mow the baseball grounds in 2 hours; Mike can mow the same grounds in 3 hours; and Chris can mow the grounds in 4 hours. How long will it take to mow the baseball grounds if Jack, Mike, and Chris work together?
Leave your answer in proper fraction form, then round to 1 decimal place.
Using your rounded answer, how many minutes would that be?
Answer:
1st answer
Step-by-step explanation:
Another way to say 2 coats is
to paint the fence twice
Also, that is the same as painting
2 identical fences
---------------
Tom's rate is:
+1%2F8+ = ( 1 fence ) / ( 8 hrs )
Huck's rate is:
+1%2F5+ = ( 1 fence ) / ( 5 hrs )
---------------------------
Let +t+ = the time in hrs for them
to paint 2 fences
+2%2Ft+ = ( 2 fences ) / ( t hrs )
---------------------------
+1%2F8+%2B+1%2F5+=+2%2Ft+
Multiply both sides by +40t+
+5t+%2B+8t+=+80+
+13t+=+80+
+t+=+6.154+
It will take them 6.154 hrs
2) They together will take 10.9 hrs or 120/11
3) josh will take 21/11 hrs or 1.9 hrs
4) Together they will take 36/13 or 2.8 hrs
Solutions to the above problem2) Tom takes = 12 hrs
Huck takes= 10hrs
We can aaply unitary method
together they will take= 1/12+1/10=2/t
11t=120;
t=120/11 or 10.9 hrs
3) Together kim and josh can clean the house together in = 3 hrs
Kim takes = 7hrs
Josh will take= 1/7+1/x=2/3
3x+21=14x
21=11x
x=21/11 or 1.9 hrs
4) Jack makes baseball grounds in= 2 hrs
Mike takes= 3 hrs
Chris takes= 4 hrs
Together they will take= 1/2+1/3+1/4=3/x
13x=36
x=36/13 or 2.8 hrs
To learn more about Unitary method refer to:
https://brainly.com/question/19423643
#SPJ2
It is known that 60% of the students at a large university have a job and 40% do not have a job. If three of these students are randomly selected, what is the probability at least one does not have a job? (Hint: the compliment of this event is all three have jobs.)
Answer:
78.4% probability at least one does not have a job
Step-by-step explanation:
For each student, there are only two possible outcomes. Either they have a job, or they do not have a job. The probability of a student having a job is independent of other students. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
60% of the students at a large university have a job
This means that [tex]p = 0.6[/tex]
Three of these students are randomly selected
This means that [tex]n = 3[/tex]
What is the probability at least one does not have a job?
Either all of them have a job, or at least one does not. The sum of the probabilities of these events is decimal 1. So
[tex]P(X < 3) + P(X = 3) = 1[/tex]
We want P(X < 3). Then
[tex]P(X < 3) = 1 - P(X = 3)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{3,3}.(0.6)^{3}.(0.4)^{0} = 0.216[/tex]
[tex]P(X < 3) = 1 - P(X = 3) = 1 - 0.216 = 0.784[/tex]
78.4% probability at least one does not have a job
Please help me with my question!!!
Answer: They can make 18 ornaments
Step-by-step explanation:
you make 4 and 1/2 into the common denominator of 4. So then you get 4 and 2/4 you multiply 4 by 4 to get 16 and then add it to the 2/4 to get 18/4 each takes 1/4 so you have 18(1/4)
Carlos and his brother each made 72 cookies for the church bake sale. They sold the same amount of cookies each day over a three day period. Between the two of them how many cookies did the boys sell each day? A. 24 B. 48 C. 72 D. 144
Answer:
the answer is 144
Step-by-step explanation:
just add 72+72=144