х
f(x
Which exponential function is represented by the
values in the table?
-2
AW
-1
3
2
O 3
f(x) = 3(2)
O f(x) = 2(2)
O f(x) = 3(34)
O f(x) = 2(3)
0
3
1
6
1
2
2
12
Answers
Answer:
[tex]y = 3(2)^x[/tex]
Step-by-step explanation:
Given
The attached table
Required
Determine the exponential function
An exponential function is represented as:
[tex]y = ab^x[/tex]
From the table;
[tex](x,y)=(0,3)[/tex]
So:
[tex]y = ab^x[/tex]
[tex]3 = a * b^0[/tex]
[tex]3 = a * 1[/tex]
[tex]3 = a[/tex]
[tex]a = 3[/tex]
Also:
[tex](x,y) = (1,6)[/tex]
So:
[tex]y = ab^x[/tex]
[tex]6 = a * b^1[/tex]
[tex]6 = a * b[/tex]
Substitute [tex]a = 3[/tex]
[tex]6 = 3 * b[/tex]
Solve for b
[tex]b = 2[/tex]
So:
[tex]y = ab^x[/tex]
[tex]y = 3(2)^x[/tex]
The exponential function represented by the values is f(x) = 3(2)ˣ
Exponential functionAn exponential function is in the form:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multiplier.
From the table, at point (0, 3):
3 = ab°
a = 3
At point (2, 12):
12 = ab²
12 = 3b²
b² = 4
b = 2
f(x) = 3(2)ˣ
The exponential function represented by the values is f(x) = 3(2)ˣ
Find out more on Exponential function at: brainly.com/question/12940982
Related Questions
Please fill in the answers by 4:00 !! (I'll give brainliest if u help me)
Answers
here you go! hopefully this helps :))
Please Help, I will give a brainleist to the right answer.
Answers
the perimeter is 28 feet long. you would add 7 four times because all sides on the square are equal
solve for x: 5/2x = 15/2 x=3
Answers
Answer:
3
Step-by-step explanation:
5/2⋅=15/2⋅=3
A combination lock has 3 digits, each of which can be any number between 0 and 9. How many possible lock combinations are there?
Answers
Answer:
1000
10x10x10= 1000
........
Answer:
1000
Step-by-step explanation:
10 x 10 x 10 = 1000 (each number can be repeated on every digit)
3 |a| +5 |b| if a = −2; b = −1
WILL AWARD BRAINLIEST
Answers
Answer:
-11
Step-by-step explanation:
[tex]3( - 2) + 5( - 1)[/tex]
[tex] - 6 + ( - 5)[/tex]
[tex] - 11[/tex]
45633 seconds en heures minutes et seconds
Answers
Math Which expressions represent 9 divided by the sum of 1 and 2? Check all that are true. 09/(1+2) 9+1+2 I (9 - 1) + 2 (1 + 2) = 9 09+ (1 + 2)
Answers
Answer: 9/(1+2)
Hope it helps :)
Two box plots compare the number of interceptions that were thrown by NFL quarterbacks in the years 1998 and 2008. Which choice is NOT true?
Answers
Answer:
bottom left on ttm/imagine math
GOT IT RIGHT IT IS NOT THAT HARD IF YOU KNOW BOX PLOTS WELL.
Step-by-step explanation:
Mean of eight observations is 25. If one observation 11 is excluded , find the mean of the remaining.
Answers
Answer:
Mean = 27
Step-by-step explanation:
Given mean = 25
No of observations (N) = 8
We know,
Mean = Sum / N
25 = Sum / 8
Sum = 25 x 8
Sum = 200
Since an observation 11 is removed,
New sum = 200 - 11 = 189
New no. of observation (N) = 8 - 1 = 7
Now,
Mean of remaining observations = New Sum / New N
= 189/7
= 27
Answer:
mean=25
n=8
sum of observation=?
we have
mean=sum/n
sum=25×8=200
if one observation is excluded
sum will be =200-11=189
[n]no of observation = 8-1=7
new mean =new sum/new n=189/7=27
the mean of the remaining is 27
Can someone please give me the answer I will mark u brilliant
Answers
Answer:
p = 16.8
[tex] r \geqslant 5.5[/tex]
Step-by-step explanation:
12)
p + 2.1 = 18.9
p = 18.9 - 2.1
p = 16.8
13)
[tex]r \geqslant 5.5[/tex]
Help plssss hhbbbbbbbbbhnjjjjjjjjjbhddccgbbbhh
Answers
Answer:
It's a, 2^x + 3
Step-by-step explanation:
If you look at the y-intercept, you can see that there was a vertical shift upwards by 3 (y intercept moved from y = 1 to y = 4).
If you're studying for the SAT, it'll be good to study the transformation rules, including horizontal stretches/shifts. They always seem to throw one or two questions about those on there.
Find the missing angle.
120°
30°
N
Z=
Enter the number that belongs in the green box,
[?]
please help this is urgent
Answers
Answer:
missing angle = 30 degrees
Step-by-step explanation:
all triangles have an interior angle or 180 degrees.
to find the missing angle, just take the know angles and add them together:
120 + 30 = 150
then take the sum and subtract it from 180:
180 - 150 = 30
Answer:
120° +30° +z=180°150° +z =180°z= 180°-150°z=30°if I wakes for 1/2 an hour, walks for 1/3 of an hour, and jogs for 1/4 of
an hour. Calculate how many minutes i exercises.
please someone help me this is for a test
Answers
Answer:
65 minutes
Step-by-step explanation:
Solve
9+1/5b=3/10b
what is b
Answers
Answer:
b = 90
Step-by-step explanation:
Answer:
[tex] \huge\sf \colorbox{pink}{hey \: there}[/tex]
Step-by-step explanation:
[tex] \underline \red{given:- \: 9 \frac{1}{5b} = \frac{3}{10b} }[/tex]
[tex]b = 70[/tex]
Determine the number of zeros of the polynomial function
F(x) = x^4 - x^7
Answers
Answer:
7
Step-by-step explanation:
Using fundamental theorem of algebra, there should be 7 roots, if you count multiplicity.
If you're only counting distinct roots, then there should be 4 roots.
-b+10a-5 in standard form
Answers
Answer:
10a-b-5
Step-by-step explanation:
-b+10a-5 in standard form
is
10a-b-5
hoped this helped :)
100
400 people were surveyed
about their eye color. 8% of
the people surveyed have
green eyes. How many
people had green eyes?
Answers
Answer:
32 people
Step-by-step explanation: If there are 400 people and there is 8% of that, then first convert 8% to a decimal so its easier to work with. The multiply with 400:
0.08 * 400 = 32
Answer: 32 people have green eyes
what is x
I'm confused
Answers
Answer:
x = 3
Step-by-step explanation:
the diagonals bisect each other so:
6x + 2 = 20
subtract 2 from both sides of the equation:
6x = 18
x = 18/6
x = 3
Two lines are represented by equations: 10x – 15y = 21 and y = kx + 5.What value of will make lines perpendicular?
Answers
Answer:
is this what u wanted? if no can u write on paper what u wanted and send me
Write the factored form of the third-degree polynomial
function that has a positive leading coefficient and a
zero at x= -3 with a multiplicity of 3.
Answers
Answer:
[tex]a(x+3)^3, a \neq 0[/tex]
Step-by-step explanation:
Zeros of a function:
Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.
Zero at x= -3 with a multiplicity of 3.
This means that:
[tex]x_1 = x_2 = x_3 = -3[/tex]
So
[tex]a(x - (-3))*(x - (-3))*(x-(-3)) = a(x+3)(x+3)(x+3) = a(x+3)^3[/tex]
Positive leading coefficient
[tex]a(x+3)^3, a \neq 0[/tex]
The measures of the angles of a triangle are shown in the figure below. Solve for x
Answers
Answer:
x=17
Step-by-step explanation:
4x+8+44+60=180
4x+112=180
4x=180-112
4x=68
x=68/4
x=17
what is this figure ?
Answers
Which number line represents the solution to 5x < 30?
Answers
Answer:
x < 6
Step-by-step explanation:
6 * 5 = 30
done
Hope this helped! Have a nice day! Plz mark as brainliest!!!
-XxDeathshotxX
Answer: It's B
<---|-----|-----|-----●-----|-----|--->
Arrow goes this way →
x2 – 12x = 39
Please help me solve this! I need the answer ASAP
Answers
Answer:
x = 6 ± 5[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Given
x² - 12x = 39
Using the method of completing the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(- 6)x + 36 = 39 + 36
(x - 6)² = 75 ( take the square root of both sides )
x - 6 = ± [tex]\sqrt{75}[/tex] = ± 5[tex]\sqrt{3}[/tex] ( add 6 to both sides )
x = 6 ± 5[tex]\sqrt{3}[/tex] ← solutions in exact form
Answer:
x = 6 ± 5* OR 6 - 5*
Step-by-step explanation:
In decimal form it would be either 14.66025403... or -2.66025403
Hope this helps!
pls help i need answer
Answers
Answer:
109 degrees
Step-by-step explanation:
23 + 48 = 71
180 - 71 = 109 :)
Answer:
i think the answer is 109 im not sure
Step-by-step explanation:
48+23=71 180-72=109
A rectangular prism has a length of 3ft, a height of 6ft, and a width of 20ft. What is its
volume, in cubic ft?
Answers
Answer:
360
Step-by-step explanation:
To solve to volume you need to times the width, length, height. so 3 times 6 is 18 and 18 times 20 is 360.
Can someone help me with this?
Answers
Answer:
Kite x=1, y=7
Step-by-step explanation:
It is a kite.
The two lines on the bottom corners of the kite mean they have the same value.
X=1 so 3x+4
3 *1 +4=7
And: x+6
1+6=7.
X+4=1+4=5.
Y=7 so y-2
7-2=5.
Hope it helped you
The Cobb-Douglas production model is a function that relates production outputs with a combination of different inputs. Agricultural data from 44 countries around the world, concerning agricultural production Q, labor L, capital K, fertilizer F, and hectares of arable land H, can be used to create an agricultural production model for countries using a Cobb-Douglas function given by
Q= 3.41 L^0.266 .K^2.06 F^0.299.H^1.41
The exponents in the Cobb-Douglas model are called elasticities. Find the percentage increment in production if a country has a 1% increase in Labor.
Answers
Answer:
0.266 percent
Step-by-step explanation:
With labor increasing by 1 percent, we are to find how much level of production would also increase given the coubglas function in the question.
Level of production = ∆Q/Q
We differentiate the function Q with respect to Labour, L.
∆Q/∆L = 0.266Q/L
∆Q/Q = 0.266∆L/L
∆L/L = 1
∆Q/Q x 100 = 1 *0.266
= 0.266%
Please refer to the attachment
pls help with math that’s attached
Answers
Answer:
TU = 28.5
Step-by-step explanation:
The triangles are congruent because of side-angle-side
TU = VU because corresponding sides of congruent triangles are congruent.
so:
3x + 9 = 7x - 17
simplify:
4x = 26
x = 6.5
TU = 3(6.5 + 9) = 19.5 + 9 = 28.5
Answer:
3x+9=7x-17
26 = 4x
x=6.5
TU:28.5
Identify 2 objects you could find in a grocery store that holds more than 100 milliliters
Answers
Perfume bottle