Mathematics College

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

F(xWhich Exponential Function Is Represented By Thevalues In The Table?-2AW-132O 3f(x) = 3(2)O F(x) =

Answers

Answer 1

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]

Answer 2

The exponential function represented by the values is f(x) = 3(2)ˣ

Exponential function

An 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


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!

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

The perimeter is 28 feet long but all the sides are the same

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

32 people have green eyes

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 →

Can someone please give me the answer I will mark u brilliant

Answers

The first question is B and the second one is C

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]

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.

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

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

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



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.

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

Please fill in the answers by 4:00 !! (I'll give brainliest if u help me)

Answers

here you go! hopefully this helps :))

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

45633 seconds en heures minutes et seconds

Answers

Yes. I totally agree with that statement. 10/10

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)

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]

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:

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]

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.

Identify 2 objects you could find in a grocery store that holds more than 100 milliliters

Answers

Milk carton
Perfume bottle

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°

-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 :)

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

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

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

solve for x: 5/2x = 15/2 x=3

Answers

Answer:

3

Step-by-step explanation:

5/2⋅=15/2⋅=3

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:

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 :)

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]

what is this figure ?

Answers

that figure is B. a parallelogram
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