Answers
Answer:
y=3x+1
Step-by-step explanation:
To figure out equations of tile patterns simply count the initial value and the rate of change, then convert it into (slope intercept form) which is
y = mx+b
In this case in figure 2 we see that there are 4 blocks, in figure 3 we see there are now 7 blocks.
7 - 4 = 3.
If we try again and see figure 3 has 7 blocks and figure 4 has 10 blocks we can do this to double check.
10 - 7 = 3. (This now verifies our rate of change to be 3)
We now see that the rate of change or slope (same thing) is 3 or put into the equation (3x).
Off this information we can also predict the original value of figure 1 (the figure we must calculate ourselves to create the equation).
Simply take figure 2 (4 blocks) and subtract by the rate of change which is (3 blocks) to get figure 1 which will be 1 block.
With all this information we can create the equation with the information we now have.
y = mx+b
y = what you are calculating for
m = 3
x = (the value you fill in when you are calculating for x) [we are not filling this in for this question so you will leave it as simply x]
b = 1 (the constant / y intercept / or simply put as the value we solved when calculating figure 1)
Final Result = [ y = 3x + 1]
Related Questions
find the vertices of the image after the given transformation (x,y)—> (2x, 1/3y)
Answers
Answer:
Step-by-step explanation:
A( - 1 , - 3 ) ------> A' ( - 2 , - 1 )
B( 4 , - 3 ) ------> B' ( 8 , - 1 )
C( 4 , 3 ) ------> C' ( 8 , 1 )
D ( - 1 , 3 ) ------> D' ( - 2 , 1 )
Yuson must complete 30 hours of community service. She does 2 hours each day. Which linear equation represents the hours Yuson has left after x days?
A. y = -2x + 30
B. y = 2x + 30
C. y = -2x - 30
D. y = 2x - 30
Answers
From the computation done, the linear equation that represents the information given will be A. y = -2x + 30.
From the information given, we're told that Yuson must complete 30 hours of community service and that she does 2 hours each day.
Therefore, the linear equation that represents the hours Yuson has left after x days will be represented thus:
y = 30 - (2 × x)
y = 30 - 2x
y = -2x + 30
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can someone please help me, i need the help?
Answers
Answer:
[tex]f(x)\div g(x)=x-10[/tex]
Step-by-step explanation:
[tex]\frac{x^2-19x+90}{x-9}[/tex]
[tex]\frac{(x-10)(x-9)}{x-9}[/tex]
[tex]x-10[/tex]
Answer:
[tex]f(x)\div g(x)=-10[/tex]
Step-by-step explanation:
Solve [tex]f(x)[/tex]
[tex]f(x)=x^2-19x+90[/tex]
[tex]x^2-19x+90[/tex]
[tex]\mathrm{Break\:the\:expression\:into\:groups}[/tex]
[tex]\left(x^2-9x\right)+\left(-10x+90\right)[/tex]
[tex]\mathrm{Factor\:out\:}x\mathrm{\:from\:}x^2-9x[/tex]
[tex]=x(x-9)[/tex]
[tex]\mathrm{Factor\:out\:-10\;from}\:\:-10x+90[/tex]
[tex]=-10(x-9)[/tex]
[tex]=x\left(x-9\right)-10\left(x-9\right)[/tex]
[tex]\mathrm{Factor\:out\:common\:term\:}x-9[/tex]
[tex]\bold{\left(x-9\right)\left(x-10\right)}[/tex]
Solve [tex]g(x)[/tex]
[tex]g(x)=x-9[/tex]
[tex]\bold{x-9}[/tex]
[tex](x-9\right)\left(x-10)}\div \:x-9[/tex]
Now, solve:
[tex](x-9\right)\left(x-10)}\div \:x-9[/tex]
[tex]=\frac{(x-9)\left(x-10)}{:x-9}[/tex]
[tex]= -10[/tex]
Therefore, [tex]f(x)\div g(x)=-10[/tex]
What is the best approximation for the circumference of a circle with a radius of 45 cm?
Use 3.14 to approximate pi.
70.65 cm
141.3 cm
282.6 cm
6358.5 cm
Answers
Answer:
282.6 cm
Hope it helps:)
The Science Club went on a two-day field trip. The first day the members paid $50 for transportation plus $16 per ticket to the planetarium. The second day they paid $85 for transportation plus $13 per ticket to the geology museum. Write an expression to represent the total cost for two days for the n members of the club.
Answers
Answer:
I dont know your answer
Step-by-step explanation:
Because i dont
Mrs. Yamamoto is taking her class to the theater. The total cost for the students' tickets is $55.
Let y represent the number of students in Mrs. Yamamoto's class. Which expression
renresents the cost of each ticket in dollars?
Answers
Answer:
look it up i need my coins
Step-by-step explanation:
Daniel is going to buy a pizza.
He can choose one pizza variety, one extra topping and one pizza size.
He can choose from
23 different pizza varieties
18 different extra toppings
The total number of ways Daniel can choose the pizza variety, the one extra topping and the
pizza size is 3726
Work out the number of different pizza sizes that Daniel can choose from.
Answers
Answer:
9
Step-by-step explanation:
For each pizza variety, Daniel can choose 18 different toppings. Therefore, for 23 pizza varieties, Daniel can choose from 23 * 18 = 414 different combinations of varieties and toppings.
For each pizza size, Daniel can choose from 414 different combinations of varieties and toppings. Therefore, for n pizza sizes, Daniel can choose from n * 414 = 3726 combinations
414n = 3726
divide both sides by 414 to isolate the n
n = 9
PLEASE HELP!! name the property of equality that the statement illustrates:
if x = y , then -2x = -2y
Answers
The multiplication property of equality states that if [tex]x=y[/tex] is true, then [tex]xz=yz[/tex] must also be true.
The property of equality illustrated by the statement "if x = y, then -2x = -2y" is the: Multiplication Property of Equality.
How to Identify the Property of Equality?The properties of equality describe the relation between the two sides of an equation and state that the two sides remain equal even after applying the same arithmetic operation on each side.
The property of equality illustrated by the statement "if x = y, then -2x = -2y" is the Multiplication Property of Equality.
This property states that if you multiply both sides of an equation by the same nonzero number, the equality still holds true.
In this question, both sides of the equation are multiplied by -2, maintaining the equality between the expressions.
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Melissa bought a sofa on sale for $630. This price was 28% less than the original price.
What was the original price?
Answers
Answer:
630 is 28% of 2250.
Step-by-step explanation:
28 / 100 = .28
2250 X .28 = 630.
can i get some help:
Answers
can someone answer this
Answers
Answer: The equation is not an identity
==========================================================
Explanation:
We'll expand out the right hand side to see if we can simplify it to the left hand side. The stuff on the left will stay the same for each step.
I'll use c = a+b as a way to help distribute.
[tex]a^4 + b^4 = (a+b)(a^3 - a^2b-ab^2 + b^3)\\\\a^4 + b^4 = c(a^3 - a^2b-ab^2 + b^3)\\\\a^4 + b^4 = a^3c - a^2bc-ab^2c + b^3c\\\\a^4 + b^4 = a^3(c) - a^2b(c)-ab^2(c) + b^3(c)\\\\a^4 + b^4 = a^3(a+b) - a^2b(a+b)-ab^2(a+b) + b^3(a+b)\\\\a^4 + b^4 = a^4+a^3b - a^3b-a^2b^2-a^2b^2-ab^3 + ab^3+b^4\\\\a^4 + b^4 = a^4+(a^3b - a^3b)+(-a^2b^2-a^2b^2)+(-ab^3 + ab^3)+b^4\\\\a^4 + b^4 = a^4-2a^2b^2+b^4\\\\[/tex]
Unfortunately, we can't go any further. We have a^4 and b^4 on the right hand side, but we also have the term -2a^2b^2 that didn't cancel out. Therefore, the original equation is not an identity.
----------------
Here's another way you can see that we don't have an identity.
Let's say we fixed 'a' to be equal to 1.
That means the equation
[tex]a^4 + b^4 = (a+b)(a^3 - a^2b-ab^2 + b^3)[/tex]
would turn into
[tex]1^4 + b^4 = (1+b)(1^3 - 1^2b-1b^2 + b^3)[/tex]
and simplify to
[tex]1 + b^4 = (1+b)(1 - b-b^2 + b^3)[/tex]
Now replace b with x and you'll have the two equations to represent the left and right hand sides
[tex]y = 1+x^4\\y = (1+x)(1-x-x^2+x^3)[/tex]
which you can graph on the same xy axis. You should note that the two equations produce different curves. The curves would need to be identical if we wanted an identity to happen.
Side note: you can pick other values for 'a' instead of just 1.
Could someone please solve this compound inequality?
Answers
[tex]\large\mathcal\red{Answer✓}[/tex]
Ans :- E...
I'm gonna go with answer choice B
Regina went out for breakfast. The bill came to $7.20. If Regina has a discount coupon for 20%, how much will be taken off the bill?
Answers
Answer:
Step-by-step explanation:
the answer is 5.76$ , 20% is -1.44$
PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL
A 20 cm cube is built from small cubes, each 5 cm on an edge. Write a ratio that compares the edge lengths of the large and small cubes.
25:1
2:1
3:1
4:1
Answers
Answer:
4:1
Step-by-step explanation:
Answer:
edge of cube = 20 cm
volume of cube = 20x20x20
volume of each small cube = 5x5x5
number of cubes
= (20x20x20)/(5x5x5)
=64
Step-by-step explanation:
I believe that is the answer im sorry in advanced if its not.
A doughnut company finds that its sales are
boosted by advertising according to the
600d
relationship S(d) = where S and d
10+ 0
represent sales and advertising, respectively,
in thousands of dollars. Calculate another
expression for S(d) by performing the
division shown.
Answers
Answer:
Hey will you marry me? serious question
The range of this function
Answers
Answer: C
Step-by-step explanation: The range of a function is all the outputs, or in this case all the values on the right side of the function. Therefore, we just look at what numbers are there and we find the range
The sum of two integers is 2. Their difference is 10. What are the two integers?
Answers
Answer:
6 and -4
Step-by-step explanation:
a + b = 2
a - b = 10
Solve:
from the first eq.
a = 2 - b
replacing this value in the second eq.
(2-b) - b = 10
2 - 2b = 10
-2b = 10 - 2
-2b = 8
b = 8/-2
b = -4
from the second eq.
a - b = 10
a - (-4) = 10
a + 4 = 10
a = 10 - 4
a = 6
Check:
from the first eq.
6 + (-4) = 2
6 - 4 = 2
A recipe for apple crisp uses 4 parts oats,8 parts brown sugar,and 10 parts flour. In simplest form,how many parts of brown sugar are there for every part of flour?
A.4/5
B.1/2
C.2/5
D.1/4
Answers
Answer:
A.) 4/5
Step-by-step explanation:
Another fraction that's not on there that is correct is 8/10
Andre runs at a constant speed, 5 meters every 2 seconds. how long does it take him to run 91 meters at this rate
Answers
Answer: 36.4 seconds
(Unitary method)
5 meters take 2 seconds
1 meter takes 2/5 seconds
91 meter takes 2/5 * 91 --> 36.4 seconds
The time taken by Andre to run 91 meters is 36.5 seconds.
What is the speed of an object?Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time
Given here: Distance travelled by Andre=5 meters in time t=2seconds
Thus Andre's speed = 5/2
=2.5 m/sec
Thus time taken to run 91 m is = 91/2.5
=36.5 seconds
Hence, The time taken by Andre to run 91 meters is 36.5 seconds.
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A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 2, 0, 2, 4, 6. The second column is labeled f of x with entries 0, 2, 8, 2, 0, negative 2.
What are all of the x-intercepts of the continuous function in the table?
(0, 8)
(–4, 0)
(–4, 0), (4, 0)
(–4, 0), (0, 8), (4, 0)
Answers
384 +37289 x 638203
then you will get the calculation
Answer:
its option c i believe
(2x+1)(3x+1)=35 using quandratic equation solve
Answers
Answer:
x = {-2 5/6, +2}
Step-by-step explanation:
To use the quadratic formula, it is helpful to write the equation in standard form.
(2x +1)(3x +1) = 35
6x^2 +5x -34 = 0 . . . . . . . subtract 35 and simplify. a=6, b=5, c=-34
The quadratic formula tells you the values of x are ...
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-5\pm\sqrt{5^2-4(6)(-34)}}{2(6)}\\\\=\dfrac{-5\pm\sqrt{841}}{12}=\dfrac{-5\pm29}{12}\\\\\boxed{x=\left\{-\dfrac{17}{6},2\right\}}[/tex]
i forgot what the definition of y-axis and x-axis was
Answers
Answer:
y is the height and x is the length
Step-by-step explanation:
Remember when you're doing y and x axis y is height and x is length it works like coordinates.
The graph of a proportional relationship passes through (12, 16) and (1, y). Find y.
Answers
Answer:y=16
Step-by-step explanation:
Josiah is buying a Christmas present for his mom. He has $24 in his saving account but needs $60 to buy the present he has in mind. Josiah works a job where he earns $9per hour. If h equals number of hours, write an equation that would help determine how many hours Josiah has to work in order to buy the present.
Answers
Answer:
Step-by-step explanation:
9h + 24 = 60
If x > 0 and y > 0, where is the
point (x, y) located?
Answers
Hope you could get an idea from here.
Doubt clarification - use comment section
Marvin sells prawns at $12 per kg. How much money will Marvin receive from selling 30 kg of prawns?
Answers
Answer: Start off and multiply 12x30=360
Step-by-step explanation: He will recieve 360$
24a - 12b HELP Me PLZ
Answers
______________ Angles have each of the pairs of opposite angles made by two intersecting lines *
1 point
Supplemnatary
vertical
adjacent
linear pair
Answers
[tex]\huge \bf༆ Answer ༄[/tex]
The Correct choice is B. Vertical
Vertical Angles have each of the pairs of opposite angles made by two intersecting lines .
Answer:
vertical
✌️❤️✌️
......
Which of the following polynomial functions is graphed below? OA. f(x) = (x - 2) ^ 2 * (x + 3) * (x - 1) O B. f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1) O. f(x) = (x + 5) * (x + 1) ^ 2 * (x - 1) D. f(x) = (x - 5) * (x - 1) ^ 2 * (x - 1)
Answers
The function of the polynomial is (b) [tex]f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1)[/tex]
From the graph, we have the following highlights
The graph crosses the x-axis at x = -1 and x = 3The graph touches the x-axis at x = -2The above highlights mean that:
The function has a multiplicity of 1 at x = -1 and x = 3The function has a multiplicity of 2 at x = -2So, the function of the polynomial is:
[tex]f(x) =a(x + 2)^2(x + 1)(x - 3)[/tex]
Assume a = 1.
So, we have:
[tex]f(x) =1(x + 2)^2(x + 1)(x - 3)[/tex]
Multiply
[tex]f(x) =(x + 2)^2(x + 1)(x - 3)[/tex]
Hence, the function of the polynomial is (b) [tex]f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1)[/tex]
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While driving to Aunt Pat’s house we filled up our tank of gas. We traveled 2/5 of the way. How much further do we have to travel?
Answers
Answer:
3/5
Step-by-step explanation:
