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
Constance will put $500 in a savings account. Which option should she choose so that she will have the most money?
1 year at 12 percent
1 year at 9 percent
2 years at 7 percent
2 years at 5 percent
Answers
Answer:
2 years at 7 percent
Step-by-step explanation:
Let's do math on each option
$500 x .12 = $60 interest
$500 x .09 = $45 interest
$500 x 0.07 = $35 x 2 = $70 interest
$500 x 0.05 = $25 x 2 = $50 interest
Answer:
B
Step-by-step explanation:
I got 100 percent
Explain how you can use the Distributive Property to find a product ?
Answers
Answer:
To distribute means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
The distributive property states that an expression which is given in form of A (B + C) can be solved as A × (B + C) = AB + AC.
What is the distributive property?Distributive property says that the sum of two or more addends multiplied by a number gives you the same answer as distributing the multiplier, multiplying each addend separately, and adding the products together.
According to the distributive property, multiplying the sum of two or more addends by a number produces the same result as when each addend is multiplied individually by the number and the products are added together.
Example: Find the product using distributive property 6(42+35)
Now, 6(42+35)
= 6×42+6×35
= 252+210
= 462
Hence, the distributive property states that an expression which is given in form of A (B + C) can be solved as A × (B + C) = AB + AC.
Learn more about the distributive property here:
https://brainly.com/question/5637942.
#SPJ2
Which statement de ribes the system of equations?
[x+2y = 2
[x-2y=-2
Answers
Answer:
x+2y=2 x-2y=-2. It has infinitely many solutions. It has no solution. It has one solution
In a test gender selection technique results consisted of 250 baby girls and 234 boys. Based on this result what is the probability of a girl born to a couple using this technique?
Answers
Answer: 125/242
Step-by-step explanation: Probability is favorable outcomes over all outcome, since there were 250+234 total outcome, and 250 were favorable (girls), then the probability is 250/250+234=250/484=125/242
Is 3:6 and 6:3 equivalent?
Answers
Answer:
no
Step-by-step explanation:
they are opposites or recipricals.
3:6= .5
6:3= 2
A box contains 10 light bulbs, of which 3 are defective and the other 7 work. If two bulbs are drawn in succession without replacement, what is the probability of getting 1 working bulb and 1 defective bulb?
Answers
Answer:
Working: 7/10
defective:3/10
Step-by-step explanation:
Just trust me
Simplify The Expression
[tex]y^{17}[/tex] · [tex]y^{11}[/tex]
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]y^{28}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]y^{17} * y^{11}\\\rule{150}{0.5}\\\text{Note the exponent rule: } a^x + a^y = a^{x + y}\\\rule{150}{0.5}\\y^{17} * y^{11} = y^{17 + 11} = \boxed{y^{28}}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
please solve this problem
Answers
Answer:
sorry i am not sure
Step-by-step explanation:
sorry i am not sure
How much of the circle is shaded? Write your answer as a fraction in simplest form? 3/7 and 1/3 isn't shaded
Answers
Answer:
[tex]total = 1 \\ \frac{1}{2} + \frac{1}{7} + x = 1 \\ \frac{1}{7} + x = 1 - \frac{1}{2} \\ \frac{1}{7} + x = \frac{1}{2} \\ x = \frac{1}{2} - \frac{1}{7} \\ x = \frac{7 - 2}{7 \times 2} \\ x = \frac{5}{14} \\ \\ shaded \: portin \: = \frac{5}{14} \\ thank \: you[/tex]
Answer:
[tex]\frac{5}{14}[/tex]
Step-by-step explanation:
Half the circle ( to the left ) is partly shaded
shaded part = [tex]\frac{1}{2}[/tex] - [tex]\frac{1}{7}[/tex] = [tex]\frac{7}{14}[/tex] - [tex]\frac{2}{14}[/tex] = [tex]\frac{5}{14}[/tex]
can someone plz help me with this
Answers
Answer:
option D .....11
Option c 36
I recently had work done on my car. The estimate was $234.78 but the actual was $365.99.
What is the relative error in the estimate?
Round to 2 decimal places.
Answers
Answer:
35.85%
Step-by-step explanation:
first, find the difference between the real value and the estimated value:
365.99 - 234.78 = 131.21
now divide the difference by the real value:
131.21 / 365.99 = 0.358507
now multiply 0.358507 by 100 to get a percentage, then round to 2 decimals:
35.85%
Can someone pls help me
Answers
Answer:
1, 4, 5, 6
Step-by-step explanation:
1 - Division is considered a fraction, subjected to fraction as division also. Since - 5/17 is basically considered -5/-17 (via 4), 1. is a choice.
4 - As explained, - 5/17 is -5/-17, so this is also a choice.
5,6 - Whether the negative symbol is in the numerator and/or denominator, it is officially thought overall to be - 5/17.
A rare disease has been discovered that affects 2 out of every 10,000 trees in a forest, what percent of trees are affected? Plz show work if you can
Answers
Set A represents rational numbers. Set B represents integers. Which diagram shows the numbers placed in the correct sets?
Answers
Answer:
from the little i can see, they are all correct
WILL MARK BRAINLIEST Select the correct answer.
What is the slope of the line in this graph?
y 10
9
8
00
17
6
5
5
w
3
-2
N
X
1
2
3
5
ch
6
7
7
GO
9
10
ОА.
OB &
C.
9
OD
Answers
Answer:
don't know Sorry sorry
Answer:
Edit: 2/3 or 5/7
Step-by-step explanation:
Slope(m) = 5-3/7-4 = 2/3
The figure isn't clear for me so i figured it passed through 4 3 as well but if it isn't.
Slope(m) = 5-0/7-0 = 5/7
The volume of a cube is found by:
1. l x w x h
2. l x w
3. w x h
Answers
Answer:
1)
Step-by-step explanation:
l x w and w x h are all formula for a rectangle, not a cube.
For instance, let's take l x w. If we change the height it will definitely change the volume, but according to 2) it won't. So, 2 is wrong.
We can do the same process for 3) to show it's wrong.
So, the answer is not 2) or 3), so it must be [tex]\boxed{1)}[/tex]
5+(-7) words problem
Answers
I don't know what you mean about (words problem)
But this is what I came up with
5+(-7)5-7-2Help pleaseeeeeeeeeee
Answers
2 - quadrilateral
3 - obtuse triangle
4 - scalene triangle
5 - pentagon
What is the slope of the linear equation that has the values shown?
x y
-4 15
-2 9
0 3
2 -3
4 -9
Answers
Answer:
xy-29490
Step-by-step explanation:
Pythagorean theorem digital escape. Can you find the length and area and type the correct code
Answers
Answer:
HIAB
Step-by-step explanation:
I guess the letters are in order
If I need to use 4/5 of a cup of strawberries for a single pie. How many cups are needed for 2 pie?
Answers
Which is 1 3/5 cups needed for 2 pies
What percent is 11÷88
Answers
Answer:
hello
Step-by-step explanation:
it must be 0,125
hope it helps
Find the measure of the third angle in each of the following triangles. The triangles are not drawn to scale.
a.
A triangle has two of its angles labeled 60 degrees and 60 degrees.
b.
A right triangle has the angle between the hypotenuse and one of the legs labeled 30 degrees.
a. The measure of the missing angle is
nothing. (Simplify your answer.)
b. The measure of the missing angle is
nothing. (Simplify your answer.)
Answers
Answer:
A. 60 degrees
B. 60 degrees
Step-by-step explanation:
(a)
60 degrees +60 degrees + missing angle = 180 degrees
(angle sum property of triangle)
missing angle = 180 - 120 = 60 degrees
(b)
90 degrees + 30 degrees =120 degrees +missing angle = 180 degrees
missing angle = 60 degrees
pleaseeeeeee helpppppp meeeee
Answers
Answer:
I need brainliest please
Step-by-step explanation:
4x + 2y + 1 = 0
y = x² + X - 7
4x + 2(x² + X - 7) + 1 = 0
4x + 2x² + 2x -14 + 1 = 0
2x² + 6x - 13 = 0
you can finish up with your almighty formula
What would the answer be image below
Answers
Answer:
The points would be: (-3, 3) (-4, -1) (2, -1) (1, 3)
Step-by-step explanation:
Because when you move 4 units left, all of the x values in the points will go down by 4, and when you move 2 units down, the y values will go down by 2 units. So when applied to the points shown, you get the answer I put.
I believe this is correct? Hope it helps!
why does -4i*i=4? what happens to the i when you multiply it
Answers
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
As we know that :
[tex] {i}^{2} = i \times i = - 1[/tex]so, over here
[tex] - 4i \times i[/tex][tex] - 4 {i}^{2} [/tex]plugging the value of i² as -1
[tex] - 4 (- 1)[/tex][tex]4[/tex]Which of the following is an example of the identity property of 1?
O 0+2 = 24
O 3 - 2 = 1
O (1) = 1
1.11(0) = 0
Answers
Answer:
(1) = 1
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
A painter made the table below to show the amount of paint it takes to cover a certain amount of square feet. The amount of paint varies directly with the area of each wall.
Amount of Paint and Size of Wall
Area of wall feet squared, x
64
144
400
Amount of paint (pints), y
4
9
25
How much paint should the painter expect to use to paint a wall with an area of 256 square feet?
Answers
Answer:
16 pints
Step-by-step explanation:
it seems like there's a pattern. when you divide x by 16, you get the result of y.
64/16 = 4
144/16 = 9
400/16 = 25
so to find the answer would be x/16 = y.
sqrt ft is x, pints is y.
we're looking for how many pints of pain we should use for 256 sqrt ft. we use that same equation, but replace x with 256, and solve for y.
256/16 = 16
therefore, your answer is 16 pints.
Answer:
Its for the person above me to get brainiest! really great answer!
Step-by-step explanation:
Yw! :D
What are 7 interesting facts or stories about Martin Luther king JR please answer
Answers
Answer:
I already answered it for you
Lucy has read 500 pages of her summer reading assesment, and Angie has read 460 pages. Lucy has reads 10 per week for the remainder of the summer, and Angie reads 20 pages per week for the remainder of the summer. Write and solve an equation to show how many weeks it will take before the girls have read the same amount of pages.
Answers
Answer:
It would take four more weeks before the two read the same number of pages.
Step-by-step explanation:
Let [tex]x[/tex] denote the number of extra weeks required before the two read the same number of pages.
Express the number of pages each would read between now and [tex]x[/tex] weeks into the future:
Lucy reads [tex]10[/tex] pages per week. Thus, she would have read [tex]10\, x[/tex] additional pages after [tex]x[/tex] more weeks.
Angie reads [tex]20[/tex] pages per week. She would've read [tex]20\, x[/tex] additional pages after [tex]x[/tex] more weeks.
It is also given that Lucy has already read [tex]500[/tex] pages. After reading [tex]10\, x[/tex] pages in the upcoming [tex]x[/tex] weeks, Lucy would have read a total of [tex](500 + 10\, x)[/tex] pages.
Likewise, after reading [tex]20\, x[/tex] pages in the upcoming [tex]x[/tex] weeks, Angie would have read a total of [tex](460 + 20\, x)[/tex] pages.
It is assumed that the two would have read the same number of pages after these [tex]x[/tex] more weeks. In other words:
[tex]500 + 10\, x = 460 + 20\, x[/tex].
Solve this equation for [tex]x[/tex]:
[tex]x = 4[/tex].
In other words, Lucy and Angie would have read the same number of pages after four more weeks.