Answers
Step-by-step explanation:
the key is x = 0.
also I see in the first table no "run-away" effect of some values, so my first suspicion is : it is linear.
let's test it.
a linear function is a line :
y = ax + b
remember, x = 0 is a key element.
y = a×0 + b
-3 = a×0 + b
-3 = b
so, we know, the line function is
y = ax - 3
now, for the a. let's use the next xy pair (1, 1).
1 = a×1 - 3
4 = a
aha ! our line function is therefore
y = 4x - 3
verify with the next 2 points (2, 5) and (3, 9)
5 = 4×2 - 3 = 5 correct
9 = 4×3 - 3 = 9 correct
linear type and equation confirmed.
the second table :
yes, we see relatively big y values compared to the x values.
and the y values follow the powers of 2
so it seems to to be exponential.
64 = 2⁶
32 = 2⁵
16 = 2⁴
8 = 2³
so, while x increases, the powers of 2 decrease. so, we must build something like y = 2^x, but it must run contrary to the increase in x.
the old trick : c-x.
again, x= 0 is key. when x = 0 we get the biggest y (64). that means that gives us c.
64 = 2^(c-x) = 2^(c-0) = 2^c = 2⁶
=> c = 6
so, we suspect the exponential function
y = 2^(6-x)
let's verify with the other points
(1, 32)
32 = 2^(6-1) = 2^(5) = 32 correct
(2, 16)
16 = 2^(6-2) = 2^(4) = 16 correct
(3, 8)
8 = 2^(6-3) = 2^(3) = 8 correct
so, yes, it is the exponential function
y = 2^(6-x)
Related Questions
In a hand of cards, the ratio of black cards to red cards was 5 to 3. If the hand contained 15
black cards, which of the following proportions could be solved to find the number of red
cards?
Answers
Answer:
5:3 = 15:x
the answer would be 15 black cards to 9 red cards
Step-by-step explanation:
45six +13six
Carry out the addition shown using base six notation
Answers
Step-by-step explanation:
45 6
13 6
_____ +
02 6
1
________
6 /..8
..... -6
_______
..... 2
0
_______
6/5
...5
_____
0
Mixed numbers 204/5=
Answers
Answer:
Step 1 - Find Whole Number
Calculate out how many times the denominator goes into the numerator. To do that, divide 204 by 5 and keep only what is to the left of the decimal point:
204 / 5 = 40.8000 = 40
Step 2 - Find New Numerator
Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.
204 - (5 x 40) = 4
Step 3 - Get Solution
Keep the original denominator and use the answers from Step 1 and Step 2 to get the answer. 204/5 as a mixed number is:
40
4
5
Improper Fraction To Mixed Number Converter
204/5 as a mixed number is not the only problem we solved. Go here to convert another improper fraction to a mixed number.
What is 204/6 as a Mixed Number?
Here is the next improper fraction on our list that we converted to a mixed number.
Terminology & Explanation
204 above the division line is called the numerator and 5 below the divison line is called the denominator.
We call the line that separates 204 and 5 the division line. It is also known as the fraction bar or vinculum.
204/5 is an improper fraction because the numerator is greater than the denominator.
A mixed number is an integer (whole number) and a proper fraction.
-3/5-2/10= para ahorita plsss
Answers
Answer:
-0.8 GL HEHHEHHEHEHEHEHEHEHEHHEHEHEHHEHEH
Can somebody help me with social studies since nobody will?
Answers
Answer:
Yes! Sure I will, just follow me and I will follow you!
Then I get the notifications of your doubts.
Step-by-step explanation:
I love helping
What is the product of (3y^-4)(2y^-4)
6/y^6
1/6y6
6/y16
1/6y16
Answers
solve for x
7(x - 3) = 4(x + 5)
Answers
2:take away the smallest x, which is 4x
then you’re left with
3x-21=20
3: add the -21 to the other side of = sign
you’re left with 3x=41
4: divide by 3
5: x=13.6667
-48 divided by what equals 6
Answers
Answer: the answer is -8
Step-by-step explanation:
(-5.4, 4.7) and (0.6, 4.7) find the unit
Answers
Answer: 6 units
Step-by-step explanation:
|-5.4| + |0.6|
5.4 + 0.6 = 6 units
Order the numbers from least to greatest 0.607, 607, 6.07, 60.7
Answers
Answer:
0.607, 6.07, 60.7, 607
Step-by-step explanation:
Find what 2/4 is multipled by to to get 2/4 divided by 12. Then solve the problem. Do not reduce your answer.
Answers
Answer:
Step-by-step explanation:
HELP THIS IS DUE IN A FEW HOURS!!!
Emery borrowed money from her brother to buy a new phone and is paying off a fixed amount each week.
After 2 weeks, she will owe $456, and after 5 weeks, she will owe $228.
Create an equation in point-slope form to represent this situation.
Answers
Step-by-step explanation:
you can see the full answer in Quizlet
For how many days is the total cost $300? ___days
Initial Value 8
Rate of Change 15
Answers
Answer:
≈ 19.5 daysStep-by-step explanation:
Initial Value b = 8 Rate of Change m = 15Equation of the line:
y = 15x + 8Find x when y = 300:
15x + 8 = 30015x = 300 - 815x = 292x = 292/15x ≈ 19.5 daysEquate
[tex]\\ \sf\longmapsto y=mx+b[/tex]
[tex]\\ \sf\longmapsto 300=15x+8[/tex]
[tex]\\ \sf\longmapsto 300-8=15x[/tex]
[tex]\\ \sf\longmapsto 292=15x[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{292}{15}[/tex]
[tex]\\ \sf\longmapsto x=19.5[/tex]
what is % 12 of 104?
Answers
Answer:
12.48 is the answer
Step-by-step explanation:
have a great day
Answer:
12.48
Step-by-step explanation:
104×12=1248
1248 count to decimals
12.48
2x-5/3+x/4=1 ?????????
Answers
Answer:
X= 32/27
Step-by-step explanation:
..................that much only..........
What is the absolute value function?
a. y= 7 |x+8| -4
b. y= -7 |x-8| +4
c. y= -7 |x+8| -4
d. y= -7 | x-8| -4
PLEASE HELP PLEASE PLEASE PLEASE
Answers
Answer:
c
Step-by-step explanation:
The absolute value function would be;
b. y= -7 |x - 8| +4
Given that;
The functions are,
a. y= 7 |x+8| -4
b. y= -7 |x-8| +4
c. y= -7 |x+8| -4
d. y= -7 | x-8| -4
Since, The absolute value function is a mathematical function that returns the positive magnitude or value of a given number, disregarding its sign. It is denoted by enclosing the number within vertical bars (| |).
In the given options, the equation that represents the absolute value function is:
b. y = -7 |x - 8| + 4
This equation represents a downward-opening V-shaped graph with its vertex at (8, 4).
As x approaches 8 from the left, the value of y decreases.
As x moves away from 8 towards positive or negative infinity, the value of y increases.
Therefore, the correct option is (b).
To learn more about the function visit:
https://brainly.com/question/11624077
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What is the equation, in point-slope form, for a line that goes through(8, −4) and has a slope of −5/6?
Answers
Answer:
[tex]y = \frac{-5}{6} x + 2\frac{2}{3}[/tex]
Step-by-step explanation:
Use the Point-Slope formula...
(y - (-4)) = -5/6(x - 8)
Simplify
y + 4 = -5/6x + [tex]6\frac{2}{3}[/tex]
y = -5/6 + 2 2/3
Help me please……………….
Answers
Answer:
8 or [tex]\frac{8}{1}[/tex]
Step-by-step explanation:
[tex]\frac{4}{\frac{1}{2}}[/tex] can also be written as;
4 ÷ 0.5
(0.5 is the 1/2 in decimal form)
4 ÷ 0.5 = 8
Someone help me pls, this is a distance time graph
Answers
Answer:
it's b
Step-by-step explanation:
just took the test
At a youth club there are 3 boys for every 4 girls if there 12 boys at the club , how many girls are there
Answers
Answer:
16
Step-by-step explanation:
i use tally marks
Answer:
16 girls.
Step-by-step explanation:
There are two ways,
The Relationship between each ratio is multiplying by 4.
Or cross multiply;
12×4=48
48÷3=16
Hope you're having a splendiferous day or evening.
Judy received 198 votes for class president. This was 55% of the total votes cast. How
many votes were cast?
Enter your answer in number form only. Do not attach a label.
Answers
Answer:
Step-by-step explanation:
Sbakjxd
what is 200 x 300 kakakkakakakakkaakkkak
Answers
Answer:
60000 ty ..............
Answer:
60000
..............
what a difficult question !!! Do not ask such difficult questions ..lol
Witch of the following expressions are equivalent to 6+(-4)-5 A -(-6+4)-5 B 6-4-(-5) C 6-(4+5) D 6+4-5 E -(-6)+(-4)-(-5)
Answers
Answer:
c is your answer
Step-by-step explanation:
have a nice day!
f(x)=3x 3 inverse function
Answers
Step-by-step explanation:
if I understand this correctly than you are looking for the inverse function of f(x) = y = 3x³.
the inverse function simply tries to calculate the original x it of the original y.
and then, to make it a formal function, we rename x to y and y to x.
y = 3x³
x³ = y/3
[tex]x = \sqrt[3]{ \frac{y}{3} } [/tex]
=> as "regular" function
[tex]y = {f}^{ - 1} (x)= \sqrt[3]{ \frac{x}{3} } [/tex]
6. What is the area of a rectangular floor that is 7-3" long
and 4-2” wide?
Answers
The area of the rectangle will be 4350 Inches squared.
What is the area of the rectangle?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
Given that a rectangular floor is 7-3" long and 4-2” wide. Here 7 ft 3 in = 87 in. 4ft 2 in = 50 in.
The area of the rectangle is calculated by using the formula below:-
Area = Length x Width
Area = 87 x 50
Area = 4350 Inches
Therefore, the area of the rectangle will be 4350 Inches squared.
To know more about the area follow
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Ben gets $50 per day as wages and $6.00 as commission for every book he sells in a day. His daily earnings goal is $140.
Using the equation constructed in previous question, solve for the
number of books he must sell to meet his daily earnings goal.
Answers
Subtract $50 from $140 and you get:
$90 = $6 per book • x books
Divide $90 by $6 per book:
And you get x = 15 books
Answer:
the basic wage is 50$
the extra to get 140$ is 90$(140-50)
.............
as for 1 book he get 6$
so for ? book he get 90$
then ? =(90$*1)/6$= 15 book
that's it hope i helped.
A diver takes a running leap off of a 40 foot cliff into a pool of water. When she is 5 feet from the cliff,
she reaches a maximum height of 45 feet
Let H(x) represent a parabolic function with the height of the diver above water in terms of her horizontal distance
write a function to graph
Answers
of" (and any subsequent words) was ignored because we limit queries to 32 words.
What is the answer for 2x+34
Answers
Answer:
16
Step-by-step explanation:
simplify or factorize
Andrea saves 65 each day.if this is 25% of hair daily allowance, how much is her daily allowance
Answers
25/100 = x/65
100x = 1625
x = $16.25
$16.25 is her daily allowance
Review the federal income tax table.
Single
If Taxable Income Is between: Then the Tax Due Is:
$0 – $9700 10% of taxable income
$9701 – $39,475 $970+12% of the amount over $9700
$39,476 – $84,200 $4543+22% of the amount over $39,475
$84,201 – $160,725 $14,382.50+24% of the amount over $84,200
$160,726 – $204,100 $32,748.50+32% of the amount over $160,725
$204,101 – $510,300 $46,628.50+35% of the amount over $204,100
$510,301+ $153,798.50+37% of the amount over $510,300
Mustafa earned $95,000 in taxable income in a year from his job as a software developer. How much federal income tax does he owe? Enter your answer as a number rounded to the nearest cent, such as: $42,536.47.
Answers
9514 1404 393
Answer:
$16,974.50
Step-by-step explanation:
$14,382.50+24% of the amount over $84,200 is ...
$14,382.50 +0.24×(95,000 -84,200) = $14,382.50 +2592.00 = $16,974.50
Mustafa owes $16974.50 in federal income tax.
_____
Additional comment
Each row of the tax table can be simplified by multiplying out the expression it describes. For the row applicable to this problem, that becomes ...
14382.50 +0.24(amount -84200) = 14382.50 +0.24×amount -20208
= 024×amount -5825.50