Which of the following rules could represent the function shown in the table?
Answers
Answer:
f(x) = 2x + 1.
Step-by-step explanation:
In order to determine the function rule for the given table of values, we must start by finding the slope or the rate of change. Choose two ordered pairs from the table: (0, 1) and (1, 3).
Let (x₁, y₁) = (0, 1)
(x₂, y₂) = (1, 3)
Substitute these values into the following slope formula:
m = (y₂ - y₁)/(x₂ - x₁)
m = (3 - 1)/(1 - 0)
m = 2/1 = 2
Therefore, the slope of the function is, m = 2.
Next, we must determine the y-intercept, which is the point on the graph where it crosses the y-axis, with coordinates of (0, b ). From the given table of values, the y-intercept is (0, 1), for which its y-coordinate is the value of b = 1.
Therefore, the function rule that represents the given table of values is:
f(x) = 2x + 1.Related Questions
Chase has a $42,500 line of credit which charges an annual percentage rate of prime rate plus 5%. His starting balance on June 1 was $2,550. On June 4, he borrowed $5,300. On June 9, Chris made a payment of $800, and on June 17, he borrowed $5,600. If the current prime rate is 10%, what is his new balance?
Answers
The best interest rate which banks can charge a customer is the prime rate.
His new balance is $12,735.291[tex]\overline 6[/tex]Reasons:
The Annual Percentage Rate, APR = Prime + 5%
∴ APR = 10% + 5% = 15%
[tex]\displaystyle The \ periodic \ rate = \frac{15}{12} = 1.25 \%[/tex]
The balance on June 1 = $2,550
Daily balance, June 1 — 3 = $2,550 × 3 = $7,650
June 4 borrowed $5,300
The new unpaid balance = $2,550 + $5,300 = $7,850
Daily balance from June 5 — 8 = $7,850 × 3 = $23,550
Chris made payment on June 9
Unpaid balance = $7,850 - $800 = $7,050
Daily balance from June 9 — 16= $7,050 × 8 = $56,400
June 17 borrowed $5,600
Unpaid balance = $7,050 + $5,600 = $12,650
Daily balance June 17 — 30 = $12,650 × 14 = $177,100
Sum of daily balance = 7,650 + 23,550 + 56,400 + 117,100 = 204,700
[tex]\displaystyle Average \ daily \ balance = \frac{204,700}{30} = 6,823.\overline 3[/tex]
Finance charge = Average daily balance × Periodic rate
∴ Finance charge = $6,823.[tex]\overline 3[/tex] × 0.0125 = $85.291[tex]\overline 6[/tex]
New balance = Cash advance + Credits and payment + Previous balance + Finance charge
New balance = $2,550 + $5,300 - $800 + $5,600 + $85.291[tex]\overline 6[/tex]
= $12,735.291[tex]\overline 6[/tex]
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Anyone for a brainly help me out
Answers
Answer:
y<x+1
Step-by-step explanation:
Plug your slope and a point into the formula y = mx + B, in which "m" is the slope, (x, y) is a point on the line and "b" is the y-intercept, to find the equation governing the inequality line. Plugging in (0, 0), you obtain 0 = 0 + b, so b = 0. Rewriting the equation, you obtain y<x+1
Hi I really need help with this please 25POINTS!!!
What is the Point of Maximum Growth of this function?
f(x)=(7)/(1+5e^(-0.9x)
Select the correct answer:
(0,7/6)
(0.39,3.5)
(-1.79,3.5)
(1.79,3.5)
Answers
Answer:
(0,7/6)
Step-by-step explanation:
Find the number that makes the ratio equivalent to 2:4
16:
Answers
Step by step:no
what is the square of 0.81?
Answers
Answer:
0.9 or 9/10Step-by-step explanation:
what is the square of 0.81?
0.9
The square root of 0.81 is equal to 0.9 or 9/10
--------------
check
0.9 * 0.9 = 0.81
the answer is good
A garden is in the shape of a square of length 353
m. Find it's (i)perimeter
and (ii) area.
Answers
Answer:
Step-by-step explanation:
Perimeter = P = 4a where a is each side of square
P = 4(353) = 1412
Area = a^2 where a is each side
A = (353)^2 = 124,609
IS CELL REPLICATION THE SAME THING AS DNA REPLICATION OR ARE THEY TWO SEPERATE THINGS
Answers
Answer:
See below:
Step-by-step explanation:
So, first of all, we know that Cell and DNA Replication are different just by looking at their names.
Cell Replication is to replicate cells and not DNA whereas DNA replication replicates DNA but not cells.
We do know that DNA resides inside Cells what we call eukaryotes.
So, in short, no, they are different things.
Cheers!
Find the slope of the line that passes through (10, 6) and (1,2)
Answers
Answer:
[tex]\frac{4}{9}[/tex]
Step-by-step explanation:
[tex]\frac{(2-6)}{(1-10)}[/tex]=[tex]\frac{-4}{-9}[/tex]=[tex]\frac{4}{9}[/tex]
Mei is making fruit punch.
She makes the fruit punch by mixing fruit juice and lemonade in the ratio 1 : 3.
The fruit juice costs £1.80 per litre.
The lemonade costs 75p per litre.
Work out the total cost of making 16 litres of fruit punch.
Answers
Answer:
16.2p (If lemonade is .75p, if not substitute in the equation below)
Step-by-step explanation:
In 4 liters, there would be 3 liters of lemonade and 1 liter in juice.
I am assuming 75p is meant to be .75p
So 4 liters costs: (1 x 1.8) + (3 x .75) = 4.05
We need 16 so: 4.05 x 4 = 16.2
Shannon ran the race slower than Patti but faster than Phan. What might her time be?
Phan: 7.7
Daniel: 7.44
Patti: 7.1
Ida: 7.501
Maisha: 7.01
Ali: 7.941
Manuel: 7.332
Answers
Since she was slower than Patti but faster than Phan, the compound inequality that models her time t is:
[tex]7.1 < t < 7.7[/tex]
An inequality is said to be compounded if it includes two terms, for example:[tex]a < x < b[/tex]
Which has the following interpretation: x is more than a and x is less than b.In this problem:
Shannon is slower than Patti, hence her time is greater than 7.1.She is also faster than Phan, hence her time is less than 7.7.Then, the inequality is:
[tex]7.1 < t < 7.7[/tex]
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what is the square root of 0.09 as a fraction
Answers
[tex]\\ \rm\bull\rightarrowtail 0.09[/tex]
[tex]\\ \rm\bull\rightarrowtail \dfrac{9}{100}[/tex]
Find square root
[tex]\\ \rm\bull\rightarrowtail \sqrt{\dfrac{9}{100}}[/tex]
[tex]\\ \rm\bull\rightarrowtail \dfrac{3}{10}[/tex]
[tex]\\ \rm\bull\rightarrowtail 0.3[/tex]
The solution of the square root of 0.09 as a fraction is,
⇒ 3 / 10
We have to given that,
To find value of the square root of 0.09 as a fraction.
Now, We can write it as,
⇒ √0.09
⇒ √9 / 100
⇒ √(3/10)²
⇒ 3/10
⇒ 0.3
Therefore, The solution of the square root of 0.09 as a fraction is,
⇒ 3 / 10
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can someone help me?!!! I need help!! ASAP
Answers
Answer:
x=4.6
Step-by-step explanation:
step 1 : calculate angle P since you know 2 angles
Step 2 : 57° - 90° = 180° [interior angles of a triangle ]
Step 3 : x/sin(33°) =7.1/sin(57°)
: x= 7.1Sin(33°)/sin(57°)
: x=4.6
In which of the following expressions does the number 24 fill in the blank so that the equation is true? Select all that apply.
A) 8(3 + 5) = ___ + 40
B) 12(2 + 7) = ___ + 84
C) 8(4 + 2) = ___ + 16
D) 6(3 + 4) = 18 + ___
Answers
Answer:
a, b, and d
Step-by-step explanation: if you do the math you can find it
Translate the sentence into an equation.
Twice the difference of a number and 8 equals 5.
Use the variable b for the unknown number.
Answers
Answer:
it's simple it means
2×b-8=5
Answer:
b = 10.5
Step-by-step explanation:
The difference of b and 8 is b - 8 and twice this difference is
2(b - 8) = 5 ← distribute parenthesis on left side
2b - 16 = 5 ( add 16 to both sides )
2b = 21 ( divide both sides by 2 )
b = 10.5
The unknown number b is 10.5
Marion and Stefan played a game called "Go." Marion won five times the difference between the number of games Stefan won and the number four. If Marion won fifteen games, then how many games did Stefan win?
Answers
Answer:
7
Step-by-step explanation:
Assume Stefan won x games,
Marion would win: 5(x-4) games,
5(x-4)= 15
5x-20= 15
5x= 15+20
5x= 35
x= 7.
A train travels with a constant speed
of 32 km/h. How long will it take to
travel a distance of 80 kilometers?
Answers
Answer:
2.5 hours
Step-by-step explanation:
time = distance / speed
t = 80 / 32
t = 2.5 hours
In ∆GHI and ∆JKL, GH = JK, HI = KL, GI = 9’, m∠H = 45°, and m∠K = 65°. Which of the following is not possible for JL: 5’, 9’ or 11’?
Answers
Answer:
11'
Step-by-step explanation:
How many grams are contained in 0.54 moles of calcium?
Answers
The number of grams present in 0.54 moles of calcium is; 22 g
We are given;
Number of moles; n = 0.54 moles
Now, Molar mass of calcium is;
M = 40.1 g
Formula for number of moles is;
n = m/M
Where;
n is number of moles
m is mass in grams
M is molar mass
Thus;
0.54 = m/40.1
m = 40.1 × 0.54
m = 21.654 g
Approximately m = 22 g
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12 + (-4) - 2/5j - 4/5j + 5
Answers
12+ 5= 17
17+(-4) -2/5= 12.6
Answer:
-6j+65/5
Step-by-step explanation:
PLEASE GIVE ME THE BRAINLIEST ANSWER
Of the 40 pencils in the box 30 of them don’t have an eraser what percent of the pencils do not have a eraser
Answers
Answer:
75%
Step-by-step explanation:
Last year, prices increased due to inflation. This year inflation caused prices to go up again. After the second increase, the price for a certain item became 6 times the original. What was the percent increase of the second increase if the first increase was 50%?
Answers
The second percentage increase in price is 300%.
Inflation is when there is a persistent rise in the general price levels in an economy. Inflation leads to an increase in the prices of goods and services.
Let's assume that the price of an item is $100.
This year prices are 6 times the original price. This means that prices are $600 ($100 x6).
Increase in prices after the 50% increase = (1.5 x 100) = $150.
Percentage increase in price so that price is now $600 = $600 / $150 - 1 = 3 = 300%
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Answer:
300%
Step-by-step explanation:
need help ASAP its due tonight
Answers
Answer:
Step-by-step explanation:
15/3 + 3 =
15/3 + 9/3 =
24/3 =
8
2(15) + 3 30 + 3 33
------------- = -------------- = ----------------
3 3 3
33/ 3 =
11
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first answer: 8
second answer:11
no need to explain just tell the answer
Answers
Answer: z = 18
Step-by-step explanation:
180 = 90 + (3z+4) + (2z-4)
z = 18
Jack and dwayne are preparing for their school s winter bake sale. They have made 318 Brownies. They plan on placing 3 brownies each into small bags to sell. how many bags will they need?
Answers
106 bags needed to pack all the brownies.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Jack and Dwayne made 318 Brownies.
Each small bag contain 3 Brownies.
So, the number of bags required
= 318 / 3
= 106 bags
Hence, 106 bags needed.
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Please help and no links!!!!
Answers
Answer: 18
Step-by-step explanation:
What is the slope of the line?
Answers
Step-by-step explanation:
the slope of the line is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
the trick in such a situation is to find good points on the chart that are crossed by the line. and by "good" I mean points with round integer coordinates.
I see 2 such points :
(-3, 4) and (1, -3)
x changes by +4 (from -3 to 1)
y changes by -7 (from 4 to -3)
the slope is therefore -7/+4 = -7/4
The cost of a blue balloon is 4 times the cost of a yellow balloon. Rashmi spent₹ 910 in buying both blue and yellow balloons, find the cost of a blue balloon?
Answers
The cost of the blue balloon is ₹728.
let
the price of the yellow balloon = x
cost of the blue balloon = 4x
Total amount spent = ₹ 910
Therefore,
4x + x = 910
5x = 910
divide both sides by 5
5x / 5 = 910 / 5
x = 182
cost of the blue balloon = 4x = 4(182) = ₹728
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. The marching band packed 3060 сans of juice into boxes for a
band competition. Each box holds 18 cans. How many boxes did
the band members have to carry?
Answers
Answer: 170 boxes
Step-by-step explanation:
You simply divide 3060 by 18.
Please help me anyone i will give you brain points
Answers
Answer:
M = 11
Step-by-step explanation:
What is linear algebra.
Answers
Answer:
Linear algebra is flat differential geometry and serves in tangent spaces to manifolds.
Step-by-step explanation:
Linear algebra is the study of lines and planes, vector spaces and mappings that are required for linear transforms. It is a relatively young field of study, having initially been formalized in the 1800s in order to find unknowns in systems of linear equations.
Combined with calculus, linear algebra facilitates the solution of linear systems of differential equations. Techniques from linear algebra are also used in analytic geometry, engineering, physics, natural sciences, computer science, computer animation, and the social sciences (particularly in economics).