Given:
Y-intercept of exponential function is 8.
It contains the point (3,64).
To find:
The exponential function that describes the graph.
Solution:
The general form of an exponential function is
[tex]y=ab^x[/tex] ...(i)
where, a is initial value or y-intercept and b is growth factor.
Since, y-intercept is 8, therefore, a=8.
Put a=8 in (i).
[tex]y=8b^x[/tex] ...(ii)
It contains the point (3,64). Put x=3 and y=64.
[tex]64=8b^3[/tex]
Divide both sides by 8.
[tex]\dfrac{64}{8}=b^3[/tex]
[tex]8=b^3[/tex]
[tex]2^3=b^3[/tex]
On comparing both sides, we get
[tex]b=2[/tex]
Put b=2 in (ii).
[tex]y=8(2)^x[/tex]
The functions form of this equation is
[tex]f(x)=8(2)^x[/tex]
Therefore, the required function is [tex]f(x)=8(2)^x[/tex].
Answer: Do you have a picture
Step-by-step explanation:
To make banana bread, Colin uses 3/4 of a cup of brown sugar for every 2 cups of flour. How much brown sugar should Colin use to make a small batch with only 1 cup of flour?
Answer:
[tex]he \: will \: need \to \: \boxed{\frac{3}{8} } \: of \: a \:cup \: of \: brown \: sugar \\ [/tex]
Step-by-step explanation:
[tex]if \: Colin \: uses \: \frac{3}{4} \: of \: a \: cup \: of \: brown \: sugar \: \\ for \: every \: 2 \: cups \: of \: flour. \\ then \: Colin \: will \: use \to \: ( \frac{3}{4} \div 2 \: ) \\ \: to \: make \: a \: small \: batch \: with \: only \: 1 \: cup \: of flour. \\ \frac{3}{4} \div \frac{2}{1} = \frac{3}{4} \times \frac{1}{2} = \boxed{\frac{3}{8} }[/tex]
♨Rage♨
Answer:
3/8
Step-by-step explanation:
Does someone know the answers to question 12 and 13 ??? GIVING 30 POINTS
Answer:
Step-by-step explanation:
For 12 if its a parrell line then the slope of the two lines have to be the same. Since the slope is 3/5 then the answer is A because the slope in A is also 3/5
for 13 if its perpendicular, then the slope has to be the opposite sign and flipped. so for example if its a negative then the slope has to be a positive and if the slope is 1/2 you have to flip it which is 2/1 and 2/1 equals 2.
so in this one if the slope is 3/5 we have to flip it making it 5/3 and the opposite of a positive is a negative so it would be -5/3, so the answer is C.
Answer:
12. A
13. C
Step-by-step explanation:
12. to be parallel needs same slope
13. to be perpendicular flip slope and if positive change to negative
What is the area of the base of the cone below? Round the number to the nearest tenth if necessary.
A. 14.7 in (2)
B. 17.3 in (2)
C. 18.5 in (2)
D.19.5 in(2)
Answer:
19.5
Step-by-step explanation:
simplify each of the following (5x+4y)(5x-4y) solve
Simplified :(5x+4y)(5x−4y)
=(5x+4y)(5x+−4y)
=(5x)(5x)+(5x)(−4y)+(4y)(5x)+(4y)(−4y)
=25x2−20xy+20xy−16y2
=25x2−16y2
hope this helps!
Answer:
25x^2-16y^2
Combine the opposite terms in 5x(5x)+5x(4y)-4y(4y)
5x(5x)-4y(4y)
25x^2-16y^2
Please help me and make sure to round the answers to the nearest hundred. I’ll give you brainiest!
Answer:
add 2 zeros at the end of all of them
Step-by-step explanation:
26/1
My teacher said it can be simplified and I did which gave me 26 but that not what he wants help me? I’m lost
Answer:
Maybe just 26 cause when you do 26/1 as a fraction that’s indicating it’s a whole number so just try 26, I’m not completely sure though. Sorry wish I could help more
Step-by-step explanation:
Please answer FAST i need your help and when you put your answers put them like
1.
2.
3.
4.
5.
Step-by-step explanation:
3.5
1
-7.14
1
1/5
6.5
sorry if this and are wrong
PLEASE HELP 20 POINTS RIGHT HERE!!!!!!!
Answer:
C
Step-by-step explanation:
Everything else can be simplified to 2/5, except for 9/20
Answer:
9/20 is not equivalent to the others
Step-by-step explanation:
9 is not divisible by 2
[{(-72)÷(-2)}2-(-7)]x(-10)
Answer:
-790
Step-by-step explanation:
Answer:
-5040
Step-by-step explanation:
Start inside out.
1) -72/-2=36 now this is still inside the braces so you have to multiply times 2
2)36*2= 72 and now remember that negative times negative is positive
3)72*7=504
multiplies times -10= -5040
You can also think about this another way
(-72/-2)(2) the two's go away and you stay with -72/-1, wich is equal to 72 and then multiply that by 7 and them times -10.
Can someone do this? You invest $6000 today. What interest rate is needed to have $8000 in 4 years if
money is compounded weekly?
Answer:
R = 7.197% per year
Step-by-step explanation:
r = n[(A/P)1/nt - 1]
what is 1 1/3 x 2/3 in the simplest form?
Answer:8/9
Step-by-step explanation:4/3 * 2/3=8/9
The simplification of the fraction 1 1/3 x 2/3 in the simplest form will be; 8/9
What is the fundamental principle of multiplication?If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We have been given the mixed fraction as;
[tex]1 \dfrac{1}{3} \times \dfrac{2}{3}[/tex]
First, we need to simplify the mixed fraction;
[tex]1 \dfrac{1}{3} =\dfrac{4}{3}[/tex]
Therefore, the product of the fraction will be;
4/3 x 2/3 = 8/9
Hence, the simplification of the fraction 1 1/3 x 2/3 in the simplest form will be; 8/9
Learn more about multiplications;
https://brainly.com/question/14059007
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5+5= what pllease help!!!!!!!!!!!! 10 points!
WILL MARK BRAINLEIST PLEASE HELP
Answer:
-8 is the real answer
Step-by-step explanation:
I really need the help?
Answer:
a=c because opposite vertices are always equal to one another
Step-by-step explanation:
Work out the percentage change to 2 decimal places when a price of £97 is decreased to £90.
Answer:
I NEED THIS ANSWER!
Step-by-step explanation:
Rotate ELMO 270° clockwise about the origin.
What are the coordinates of E’?
a. (1, 1)
b. (-1, 1)
c. (-1, -1)
d. (1, -1)
Please help meee I really need help I’ve been struggling badly..
Answer:
make it so that its flat or turn it left
Step-by-step explanation:
Solve this system of linear equations. Separate
the x- and y-values with a comma.
6x - 4y = -44
2x + 3y = -6
Enter the correct answer.
Answer:
( − 6 , 2 )
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation. (the points of intersection).
In the figure below, D is the midpoint of AB, E is the midpoint of BC, and F is the midpoint of AC. Find the perimeter of triangle ABC.
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(( E )) is the midpoint of BC ,
Thus ;
[tex]BE = CE = 6[/tex]
So :
[tex]BC = 12[/tex]
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[tex] \frac{AC}{2} = DE \\ [/tex]
[tex] \frac{AC}{2} = 7.5 \\ [/tex]
Multiply sides by 2
[tex]2 \times \frac{AC}{2} = 2 \times 7.5 \\ [/tex]
[tex]AC = 15[/tex]
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[tex] \frac{AB}{2} = EF \\ [/tex]
[tex] \frac{AB}{2} = 8 \\ [/tex]
Multiply sides by 2
[tex]2 \times \frac{AB}{2} = 2 \times 8 \\ [/tex]
[tex]AB = 16[/tex]
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[tex]∆ABC \: \: Perimeter =
AB + BC + AC \\ [/tex]
[tex]
∆ABC \: \: Perimeter = 16 + 12 + 15 \\ [/tex]
[tex]
∆ABC \: \: Perimeter = 43[/tex]
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Done...
The perimeter of triangle ABC is 43.
The calculation is as follows:Since BE = CE = 6
So, BC = 12
Now
[tex]AC \div 2 = DE\\\\AC\div 2 = 7.5[/tex]
Now multiplied sides by 2
So,
[tex]2\times AC \div 2 = DE\\\\AC\div 2 = 7.5 \times 2[/tex]
AC = 15
Half of AB = EF
AB = 16
Now the perimeter is
= AB + BC + AC
= 16 + 12 + 15
= 43
Learn more: https://brainly.com/question/13286220?referrer=searchResults
Which equation represents the relationship “4 less than a number is 10?”
Answer:
x - 4 = 10
x = 14
Step-by-step explanation:
Any variable can be used to represent the number, I choose to use "x" in this case.
x - 4 = 10
Inverse operations;
x - 4 = 10
+4 +4
x = 14
What is the y-intercept of a line perpendicular to y = x + 6 that passes through the point (4 ,-3)?
A. 5
В.
-5
D. –11
Answer:
I believe it to be C
Step-by-step explanation:
help me i will give the best answer branliest
Answer:
y=-3x+2000
Good luck!
Answer:
for the first question the fifth option
and 666 for the second question
Step-by-step explanation:
Write an equation in point slope form of the line passes through the point (9,0) and has a slope of m=-3
Answer:
[tex] \huge y = - 3(x - 9)[/tex]
Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
From the question we have the final answer as
[tex]y - 0 = - 3(x - 9) \\ \\ \\ y = - 3(x - 9)[/tex]
Hope this helps you
Identify the slope-intercept form and the graph of the line described by the equation 2x−y=7.
How many times larger is 6×10 to the power of 6 than 3×10 to the power of 5
sir im sry to tell u this but, Y ARENT U SUBBED TO PEWDIEPIE U NERD
Find the value of x.
Answer:
x=95°
Step-by-step explanation:
A line passes through the points (-10, -3) and (-5, 1). What is the slope of the line?
Answer:
m= 4/5
Step-by-step explanation:
use the formula (y2 - y1)/ (x2 - x1)
(-10, -3) (-5, 1)
1-( -3)/-5-( -10)= 4/5
KING VON JUST DIED NOT TO LONG AGO!!!!! SAD !!!!!1
Answer:
Jimmy Choo, with a handbag too, red or baby blue?
She gets to smilin' she ain't used to this, 'cause she ain't use to ***
I'm just laughin', could've been a pimp the way I move my lips
Step-by-step explanation:
Answer:
that sad i very upset
Step-by-step explanation:
Dissolution of 2Y +9 equals four is
Answer:
11
Step-by-step explanation:
Which expression is equivalent to (2x^2+3x-4)-(x^2-2x+4)
Answer:
3x + 2 = 14
Step-by-step explanation:
