Write an exponential function in the form y=ab^x that goes through points (0, 2) and (6, 8192)
Answer:
y=2(2 2^(1/6))^x
Step-by-step explanation:
y=2(2 2^(1/6))^x
since b^x with x being zero b has to be 1 and since y = 2 a also = 2
then insert that back into the equation
Hope that helps :)
The exponential function that goes from (0, 2) and (6, 8192) will be y = 2([tex]4^{x}[/tex]).
What is an exponential function?In mathematics, an exponential function is a relationship of the type y = ax, where x is an independent variable that spans the entire real number line and is expressed as the exponent of a positive number.
As per the given exponential function,
y = a[tex]b^{x}[/tex]
Put (0, 2) into the above function,
2 = a(b)⁰
a = 2
Put (6, 8192) and a = 2
8192 = 2(b)⁶
b⁶ = 4096
b = 4
Thus required function will be y = 2([tex]4^{x}[/tex]).
Hence"The exponential function that goes from (0, 2) and (6, 8192) will be y = 2([tex]4^{x}[/tex])".
For more about exponential function,
https://brainly.com/question/15352175
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Please help me with this
Answer:
Find the side lengths of a triangle
Step-by-step explanation:
At the local store, the cost of 1 pair of jeans is $24 and the cost of 3 pairs is $24 × 3 = $72. At the online store, the cost of 2 pairs of jeans is ($22 × 2) + $6 = $50 and the cost of 3 pairs is ($22 × 3) + $6 = $72.
Complete question :
Complete the tables to relate the numbers of pairs of jeans to the cost of the jeans at each store. Assume that Tim is placing a single order, and
ignore any taxes.
Answer:
$24, $72
$50
Step-by-step explanation:
From the table :
At local store :
2 pair of jeans cost $48
Cost of a pair :
Cost of 2 pairs / number of pairs
$48 / 2 = $24
Cost of 3 pairs :
Cost per pair * number of pairs :
$24 * 3 = $72
At online store :
Cost of Jean include a fixed fee of $6
Cost of one pair of Jean = $28
Actual cost of Jean :
$28 - $6 = $22
Hence, cost of 2 pair of jeans:
($22*2) + $6
$44 + $6 = $50
pls help 10 points !! :))
Answer:
The second one
Step-by-step explanation:
A compass has a diameter of 22 cm. Which of the following is the area of the compass rounded to the nearest tenth
Answer:
380cm
Step-by-step explanation:
Answer:
]]][
Step-by-step explanation:
I NEED AN ANSWER FOR THE TWO QUESTIONS! I HAVE 3 MINUTES TO FINISH!!! HELP!!!!!!
Answer:
First one is first option
Second one is the third option
Step-by-step explanation:
I HELP NEED ASAP PLZ HELP ME
Theo is an atletic trainer who works with high school football and baseball players of his clients 40% play football and the rest play baseball. Of the students who play football 30% are on the varsity team while 50% of theo's baseball clients are on the varsity team. What percent of theo's clients are on the varsity team
Answer:
42%
Step-by-step explanation:
For the Theo's clients, 40% play football. That means the 60% is playing baseball.
Of the 40% that play football, only the 30% are on the varsity team, that is:
40% * 30% = 12% of the Theo's clients are on the Varsity team of football
And of the 60% that play baseball, the 50% are in the varsity team, that is:
60% * 50% = 30% of the Theo's clients are on the varsity team of baseball.
The percent of theo's clients on the varsity team is:
12% + 30% =
42%multiply out and simplify (x+5)(x-1)
Answer:
x^2+4-5
Step-by-step explanation:
the first box multiply the next box
x^2-1x+5x-5
x^2+4x-5
Hi! Let's get solving. :D
Okay.. This is a double bracket, so use the '' Waves '' method to expand the bracket. I don't mean to be lazy, but it's kinda hard to explain the working here, so here's a brilliant video that explains this method:
https://youtu.be/Dvo1Q-yBBhk
(Cognito is a brilliant source for KS3, KS4 revision!)
Answer:
X^2+4−5
Stay safe! :)
Note: I'm not a maths expert, please double check your answer.
A caterer is preparing a dinner for a party. Shecharges an initial fee of $16 and $8.25 per person. How manypeople can attend a dinner that costs $131. 50? Write an equationand solve.
Answer:
The nomber of people can attend a dinner that costs $131. 50 is 14.
Step-by-step explanation:
With the information provided, it can be said that the total cost of a dinner would be equal to the initial fee plus the result of multiplying the price per person for the number of people, which can be expressed as:
c=16+8.25x, where:
c is the total cost of he dinner
x is the number of people
Now, you can replace c with 131.50 that is the cost of a dinner and solve for x to find the number of people that can attend:
131.50=16+8.25x
131.50-16=8.25x
115.50=8.25x
x=115.50/8.25
x=14
According to this, the answer is that the nomber of people can attend a dinner that costs $131.50 is 14.
I’m watching a movie now,” I said.
“But I want to watch something else” my little sister whined.
“Just wait a few minutes. This movie will be over soon”, I told her.
“Change it now!” she screamed.
Which errors are found in the text? Check all that apply.
There are missing quotation marks.
The first word of a quotation is not capitalized.
There are missing and incorrectly placed commas.
A new speaker needs a new paragraph.
Answer:
There are missing and incorrectly placed commas.
There are missing quotation marks.
Step-by-step explanation:
Answer:
A. There are missing quotation marks.
C. There are missing and incorrectly placed commas.
Step-by-step explanation:
edge2021
A triangle has an area of 46 square inches. If the height of the triangle is 10, what is the length of the base?
Sally deposited $25000 into Bank A for 2 years at5% per annum. After the 2 years ,she withdrew her all her money from that bank and deposited all into Bank B for 3 years at 7%per annum. How much money did she have in Bank B after the 3 years ?
Answer:
$525
Step-by-step explanation:
25000×5%×2years/100=$2500
2) 2500×7%×3years/100=$525
A set of numbers which are related to each other in a specific way are said to follow a _____.
is called what
Answer:
"sequence"
Step-by-step explanation:
That'd be a "sequence."
The commonest sequences are 1) arithmetic and 2) geometric.
Answer:
pattern
Step-by-step explana
usatest prep
A family buys 6 airline tickets online. The family buys travel insurance that costs
total cost is $1,014. Let x represent the price of one ticket. Write an equation for t
find the price of one ticket.
Answer:
6x + 102 = 1,140
Step-by-step explanation:
We're looking for the sum. The insurance cost 17 dollars per ticket, and there are 6 tickets, so we have to multiply. 17 times 6 is 102. Next, we subtract 102 from both sides. 6x = 1,038. Then, divide by 6. x = 173. So, one ticket costs 173. I don't know if the insurance is included, but if it is, then add 17 and you get 190.
i
MODELING REAL LIFE You borrow $1300 to buy a telescope. What is the monthly payment?
11.8% Simple Interest
Equal monthly
payments for 2 years
Answer:
b
Step-by-step explanation:
A ball shaped like a sphere has a radius of 2.7 centimeters. Which measurement is closest to
the volume of the ball in cubic centimeters?
A 46.38 cm
B 33.93 cm
C 122.15 cm
D 82.45 cm
Answer:
D) 82.45 cm
Step-by-step explanation:
Need help! Not good at solving math
Answer:
41
Step-by-step explanation:
Erase the line in the middle and it's a right angle, which is 90 degrees, therefore if you subtract 49 from 90 you get 41, the missing angle.
A bag contains 4 red marbles, 2 blue marbles, and 1 green marble. What is the probability of not picking a red
marble?
Answer:
3/7
Step-by-step explanation:
Could side length of 12,10,30 make any triangle Help me plz!!
Answer:
It could make a triangle, but not any.
Step-by-step explanation:
To find out if a set of three positive points can represent the lengths of the sides of a given triangle, CHECK that each of the three numbers is less than the sum of the other two numbers.
calculate the mean of 7,0,11,10
Answer:
7
Step-by-step explanation:
7+0+11+10=28
28/4=7
-77w - 49 in expanded form
Answer:
-11w x 7w - 7 x 7
Step-by-step explanation:
pleaseeee answer asappppp
A rectangle with a length of x + 5 has a perimeter of 4x + 14.
1. Write the expression for the width of the rectangle in terms of x.
2. Suppose the perimeter of the rectangle is 42 inches. What are the length and
width of the rectangle?
3. Write the expression for the area of the rectangle in terms of x.
4. What is the area of the rectangle when x = 7?
Show how t get the answer
Answer:
1. Width = x + 2
2. Length = 12; width = 9
3. x² + 7x + 10
4. 108
Step-by-step explanation:
perimeter = 4x + 14
length = x + 5
1. Perimeter of a rectangle = 2(length + width)
4x + 14 = 2{(x + 5) + width}
4x + 14 = 2x + 10 + 2width
4x + 14 - 2x - 10 = 2width
2x + 4 = 2width
Width = (2x + 4)/2
Width = x + 2
2. Perimeter of a rectangle = 2(length + width)
42 = 2{(x + 5) + (x + 2)}
42 = 2x + 10 + 2x + 4
42 = 4x + 14
42 - 14 = 4x
28 = 4x
x = 28/4
x = 7
length = x + 5
= 7 + 5
= 12
Width = x + 2
= 7 + 2
= 9
3. Area of the rectangle = length × width
= (x + 5)(x + 2)
= x² + 2x + 5x + 10
= x² + 7x + 10
4. Area of the rectangle = x² + 7x + 10
When x = 7
x² + 7x + 10
= 7² + 7(7) + 10
= 49 + 49 + 10
= 108
2/3x^2+15=23
help please
Answer:
x= 4.2
Step-by-step explanation:
2/3x^2=23-15
2/3x^2=8
Sq. root both sides
2/3x = 2.8
multiply both sides by 3
2x= 8.4
divide both sides by 2
x= 4.2
The figure shows two intersecting lines and measures of the resulting angles.
ول
(3x - 8)°
(2x +12)°
What are the values of x and y?
Answer:
hiiiiiiiii
burrgerry.com
What is the domain, range, y-intercept, and Asymptote of y=(1/3)
PLEASE HELPPPP!!!! EXPLAIN HOW U GOT THAT ANSWER
Answer:
D
Step-by-step explanation:
Solve
6
2 pi = 6.28
[tex]\sqrt{34\\}[/tex] = 5.8
[tex]\sqrt{42}[/tex] = 6.4
Then order them 5.8, 6, 6.28, 6.48 which is D
what is the area of a triangle with a base of 2 5/8mm and a height of 10mm.
A. 6 1/4 mm2
B. 13 1/4mm2
C. 16 3/8mm2
D.26 1/4mm2
Answer:
what is the area of a triangle with a base of 2 5/8mm and a height of 10mm
Step-by-step explanation:
C.16 3/8mm2
Answer:
13 1/8mm² is your answer
Step-by-step explanation:
the area of a triangle with a base of 2 5/8mm and a height of 10mm.
=1/2 base×height=1/2×2 5/8 ×10=1/2×21/8×10
=21/8×5=105/8=13 1/8mm²
here
2 5/8=21/8
PLS HELP!! URGENT!!!
what is g(x)?
a- g(x)=-x^2
b- g(x)=-lxl
c- g(x)=-2^x
d- g(x)=-x
Answer:
g(x) = -2^x
Step-by-step explanation:
This is an exponential function from the looks of the value for x as it decreases toward the negative value (increase in the absolute value calculation) y is constricted from its vigorous values down to the fractional components of an equation of the standard appearance of y = C^x. For this, try some values. x = 1 y = 2, x = 2 y = 4. There is a trend that is established through these points, and g(x) = -2^x seems to follow this trend as it is reflect across the x-axis. Enter points, it is confirmed and a graphing calculator further substantiates. Try for yourself!