I need algebra help.....

I Need Algebra Help.....

Answers

Answer 1

Answer:

[tex]y=4(3)^x[/tex]

Step-by-step explanation:

From the table given in the question,

x            y              Difference                  Ratio

1            12                     -                             -

2           36              36-12 = 24              [tex]\frac{36}{12}=3[/tex]

3          108            108-36 = 72             [tex]\frac{108}{36}=3[/tex]

4          324            324-108 = 216        [tex]\frac{324}{108}=3[/tex]

5          972            972-324 = 648      [tex]\frac{648}{216}=3[/tex]

There is a common ratio of 3 in each successive term.

Therefore, data given in the table will represent an exponential function.

[tex]y=a(b)^x[/tex]

For a point [tex](1, 12),[/tex]

[tex]12=a(b)^1[/tex]

[tex]ab=12[/tex] ------(1)

For another point of the table [tex](2,36)[/tex],

[tex]36=a(b)^2[/tex]

[tex]ab^2=36[/tex] --------(2)

Equation (2) divided by equation (1)

[tex]\frac{ab^2}{ab}=\frac{36}{12}[/tex]

[tex]b=3[/tex]

From equation (1),

[tex]3a=12[/tex]

[tex]a=4[/tex]

Therefore, exponential function will be,

[tex]y=4(3)^x[/tex]


Related Questions

A total of 494 tickets were sold for the school play. They were either adult tickets or student tickets. There were 56 fewer student tickets sold than adult tickets. How many adult tickets were sold?

Answers

Answer: There were 275 adult tickets sold.

494=x+x-56
494=2x-56
550=2x
275=x

The number of adult tickets sold will be 275.

What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is that a total of 494 tickets were sold for the school play. They were either adult tickets or student tickets. There were 56 fewer student tickets sold than adult tickets.

Assume that the number of adult tickets sold are [x] and the student tickets sold are [y]. Then -

x + y = 494

y = x - 56

So, we can write the equation as -

x + x - 56 = 494

2x = 550

x = 275

Then, we can find [y] as -

y = 275 - 56 = 219

y = 219

Therefore, the number of adult tickets sold will be 275.

To solve more questions on functions, expressions and polynomials, visit the link below -

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write each improper fraction as a mix numbet 19/4​

Answers

Answer:

4 3/4

Step-by-step explanation:

Which expression does the number line represent?
O 3+ 3/4. O 3/4 + 9/4 O 3 + 9/4 O 9/4 + 3/4

Answers

I’m pretty sure 3+9/4 is correct

Can someone tell e where to plot this? (PLEASE NO FILE ANSWER). !!!

Answers

Step-by-step explanation:

x<5

This means that we want to graph all the numbers less than 5, but not 5 itself. So the circle is selected onto the 5 mark, we make it open, and we make the graph go to the left of the circle.

Answer:

1.Make the circle open

2.put the dot on 5

3. change direction

Step-by-step explanation:

A solid dot on a number line graph indicates that the given number should be included as a possible solution, whereas an open dot indicates that the given number cannot be a solution. For example, if you graph x > 7, you place an open dot at 7.

Have a nice day! :-)

A student performed the following steps to find the solution to the equation
x2 + 4x-12-0. Where did the student go wrong?

Answers

Answer:

Step 2

Step-by-step explanation:

Step 2 because in step 1, they correctly wrote the factors of the polynomial as (x+6) and (x-2). But then in step 2, (x+6) suddenly became (x-6) and (x-2) became (x+2), which is incorrect.

The answers in step 3 should have been -6 and  2.

The table slow shows Larry's scores on 6 different math tests. What is Larry's mean score on the 6 tests?

Test: 1 2 3 4 5 6
Score: 88 78 76 86 92 96

Answers

Answer:

86

Step-by-step explanation:

1038 is the mean if you add all of them

Please help very urgent

Answers

Answer:

1) A={0,2,4,12,14,20}

2) 6

3) W={1,3,5,9,21,23,39}

4) 7

Select from the following pairs of events all the pairs that are independent.

A. Draw a 2 of clubs from a standard deck of 52 cards, keep it, then draw a 2 of diamonds.
B. Draw a 3 of spades from a standard deck of 52 cards, replace it, then draw a 5 of hearts.
C. Roll a number cube. Then roll again if the first roll is a 6.
D. Roll a 2 on a number cube and spin a 3 on a spinner.
E. Events A and B, where P(A) = 0.4, P(B) = 0.2, and P(A and B) = 0.8.
F. Events A and B, where P(A) = 0.1, P(B) = 0.5, and P(A and B) = 0.05.

Answers

Answer:

A.) Independent

B.) Independent

C.) Dependent

D.) Independent

E.) Dependent

F.) Independent

Step-by-step explanation:

To find - Select from the following pairs of events all the pairs that are independent.

A. Draw a 2 of clubs from a standard deck of 52 cards, keep it, then draw a 2 of diamonds.

B. Draw a 3 of spades from a standard deck of 52 cards, replace it, then draw a 5 of hearts.

C. Roll a number cube. Then roll again if the first roll is a 6.

D. Roll a 2 on a number cube and spin a 3 on a spinner.

E. Events A and B, where P(A) = 0.4, P(B) = 0.2, and P(A and B) = 0.8.

F. Events A and B, where P(A) = 0.1, P(B) = 0.5, and P(A and B) = 0.05.

Proof -

We know that,

Independent events are the events that does not depend on the previous events.

Also,

If A and B are two independent events, then

P(A and B) = P(A) * P(B)

Now,

A.)

Draw a 2 of clubs from a standard deck of 52 cards, keep it, then draw a 2 of diamonds.

Here,

Event 1 - Draw a 2 of clubs from a standard deck of 52 cards

Event 2 - keep it, then draw a 2 of diamonds.

These Events are independent

Because

Event 1 is about picking a card that is club

Event 2 is about picking a card that is diamond

And Diamond and spades are 2 different types of card in a pack of standard deck.

So, they are not related to each other.

So,

Both the Events are Independent.

B.)

Draw a 3 of spades from a standard deck of 52 cards, replace it, then draw a 5 of hearts.

Event 1 is about picking a card that is spade

Event 2 is about replacing the card to heart.

These Events are independent

Because

And spade and heart are 2 different types of card in a pack of standard deck.

So, they are not related to each other.

So,

Both the Events are Independent.

C.)

Roll a number cube. Then roll again if the first roll is a 6.

Event 1 is Roll a number cube.

Event 2 is Roll again if the first roll is 6.

These Events are Dependent

Because

Event 2 is dependent on Event 1.

If Event 1 given no 6 then Event 2 would not happen

If Event 1 given 6 then Event 2 would happen.

So, They are related to each other

So,

Both the Events are Dependent.

D.)

Roll a 2 on a number cube and spin a 3 on a spinner.

Event 1 is Roll a 2 on a number cube

Event 2 is spin a 3 on a spinner

These Events are independent

Because

Cube and spinner are two different objects.

So, they are not related to each other.

So,

Both the Events are Independent.

E.)

Events A and B, where P(A) = 0.4, P(B) = 0.2, and P(A and B) = 0.8.

These Events are Dependent

Because

P(A and B) = P(A)*P(B)

⇒0.8 = 0.4*0.2

⇒0.8 = 0.08

But they are not equal

So, they are not independent Events.

F.)

Events A and B, where P(A) = 0.1, P(B) = 0.5, and P(A and B) = 0.05.

These Events are independent

Because

P(A and B) = P(A)*P(B)

⇒0.05 = 0.1*0.5

⇒0.05 = 0.05

They are not equal

So, they are independent Events.

What is the ratio of 4 and 120

Answers

Answer:

1 : 30 or

[tex] \frac{1}{30} [/tex]

................................................

Answer:

1: 30

Step-by-step explanation:

Which numerical expression represents the following calculation?
Add the quotient of 35 and 5 to the product of 2 and 6.

Answers

Answer:

19

Step-by-step explanation:

Given the expression:

Add the quotient of 35 and 5 to the product of 2 and 6.

Quotient of 35 and 5 :

35 / 5 = 7

Product of 2 and 6 :

(2 * 6). = 12

Adding the result of the both calculations :

7 + 12 = 19

Writing the expression together :

35/5 + (2 * 6)

7 + 12

which of the functions below could have created this graph?
A. F(x)=x^8+4x+20^2
B. F(x)=x^9+12x^8+x^7
C. F(x)=-x^6+x^3-x^2
D. F(x)=-x^7+4x^3-2x^2​

Answers

Answer:

The answer is probably A, but you typed it in wrong so I do not know. I can only guess because the others do not seem to be correct either. I have graphed them on Desmos. The screenshot is below.

Step-by-step explanation:

 

Write the equation of the line with the given slope and y-intercept.
slope - 5
y-intercept - 8
A)
y = 5x+8
B
x - 5y + 8
y- 8x-5
D
Xo Bys

Answers

Answer:

y = 5x+8

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

We know the slope is 5 and the y intercept is 8

y = 5x+8

Which equations can be used to determine the area of the irregular figure?​

Answers

Answer:

the first option put I'm not 100% sure so if I get it wrong I apologize

Original price of a book 18.50 discount 45%

Answers

Answer:

18.5-45%=10.175 Hope this helped! :)

joe mama is obama

Step-by-step explanation:

I WILL GIFT YOU 30 Brainly (On Jesus)

Answers

Answer:

since highest degree is 2 the degree of a polynomial is also 2.

since the highest exponent is 2 the leading coefficient is 1.

Step-by-step explanation:

24/10 into hundredths​

Answers

Answer:

240/100

Step-by-step explanation:

just multiply 24 by 10 to get hundredths

An experiment to improve eyesight with a new drug involves 100 subjects. 50 subjects are randomly chosen to receive the treatment and the other 50 subjects receive a placebo. There was very little difference between the success rate of the treatment group and the placebo group. The success of the placebo group may be due to Group of answer choices

Answers

Answer: Hello your question lacks the required options but I will provide a more general answer

answer :  Ineffectiveness/failure of the experimental Treatment given to the 50 subjects in the Treatment group

Step-by-step explanation:

The Placebo treatment is a treatment given for the purpose of psychological benefit. it does not have a therapeutic effect on the individual.

Given that there is very little difference between the success rate of the group whom actually receive the treatment ( for the purpose of therapeutic effect ) and the group that received placebo treatment we can conclude that the success of the Placebo group is due to the ineffectiveness of the Treatment given to the 50 subjects in the Treatment group

Parker just started a running plan where he runs 7 miles the first week and then
increases the number of miles he runs by 10% each week. If he keeps up this plan for
15 weeks, how many total miles would Parker have run, to the nearest whole
number?

Answers

Answer:

Parker would have run 29 miles in the 15th week.

Step-by-step explanation:

Since Parker just started a running plan where he runs 7 miles the first week and then increases the number of miles he runs by 10% each week, to determine, if he keeps up this plan for 15 weeks, how many total miles would Parker have run, to the nearest whole number, the following calculation should be performed:

7 x 1.1 ^ 15 = X

7 x 4.1772 = X

29.24 = X

Therefore, Parker would have run 29 miles in the 15th week.

Simplify c^3d^4/c^2d

Answers

Answer:

I think the answer is :-

[tex]c {d}^{3} [/tex]

The simplification of c^3d^4/c^2d is cd^3.

What is simplification of an expression?

Simplification of an expression is the process of writing an expression in the most efficient and compact form without affecting the value of the original expression.

For the given situation,

The expression is c^3d^4/c^2d.

The simplification is as

⇒ [tex]\frac{c^{3}d^{4} }{c^{2}d }[/tex]

⇒ [tex]\frac{(c^{2})( c)(d^{3} )(d)}{c^{2} d}[/tex]

⇒ [tex]cd^{3}[/tex]

Hence we can conclude that the simplification of c^3d^4/c^2d is cd^3.

Learn more about simplification of an expression here

https://brainly.com/question/13730519

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6. A vertex is a point where _____ or more edges meet.​

Answers

Answer:

2

Step-by-step explanation:

Answer: two or more.


17. The present age of a father and his son is 50yrs and 20yrs respectively. How many years ago
the product of their ages was 451. ​

Answers

Answer:

9 yrs ago

Step-by-step explanation:

(50-x)(20-x) = 451

x^2-70x + 1000 = 451

x^2-70x + 549 = 0

(x-9)(x-61) = 0

x = 9 (if it was 61 yrs ago, the father and son both wouldnt be a live)

Find the measure of angle x in the figure below:
BRAINLIEST PLEASE HELP SHOW WORK AN WILL MAKE BRAINLY

Answers

Answer:

See attached photo!

Step-by-step explanation:

Factor the algebraic expression (x - 1)2

- (y - 2)2​

Answers

Answer:

2(x-y+1)  Is The Awnser

help me pls! PLS PLS PLS I NEED IT

20 points
options are x, x^9, x^4, and x^6

Answers

Answer:

x^4

Step-by-step explanation:

The expression can be simplified to (x^2)^2. Using an exponent rule, you multiply the two exponents together to get 4. The answer is x^4

PLEASE PLEASE PLEASE HELP What is the measure of T
175°
H
57°
F

Answers

Answer:

m<G = 59°

Step-by-step explanation:

Recall: the angle formed outside a circle when 2 secants intercept is equal to half of the difference of the intercepted arcs

m<G = ½(arc TE - arc HF)

m<G = ½(175 - 57)

m<G = ½(118)

m<G = 59°

Graph x=2.5 will do anything

Answers

Okay, so you're going to go along the line that goes side to side, and then find positive 2. It'll be on the right side. From there, go half way in and insert a line going up and down.

Bam! You've got yourself x= 2.5 graphed!

Answer:

O ma god. dat many tabs open!!!! xD

Step-by-step explanation:

It's on da graph

2612 ÷13 = ? A. 202 r11 B. 200 r12 O O D. 199111 C. 200 r13​

Answers

It’s B 200 remainder 12.
If you multiply 200 with 13 you get 2600.
To find the remainder subtract 2612 with 2600 which leaves 12.

 The supplement of an angle is 12 less than 3 times the angle. Find the angle and its supplement​

Answers

Answer:

[tex]\text{Angle: }48^{\circ},\\\text{Angle's supplement: }132^{\circ}[/tex]

Step-by-step explanation:

Let the angle be [tex]\theta[/tex]. Supplementary angles are angles that add up to [tex]180^{\circ}[/tex]. Therefore, we can set up the following equation:

For some angle [tex]\theta[/tex], the supplement of [tex]\theta[/tex] will be [tex]180-\theta[/tex].

[tex]3\theta=(180-\theta)+12,\\3\theta -12=180-\theta,\\4\theta=192,\\\theta=\frac{192}{4}=\boxed{48^{\circ}}[/tex]

Now solving for the supplement:

[tex]\text{Supplement}=180-\theta=180-48=\boxed{132^{\circ}}[/tex]

A diver was 40 feet below the surface of the water. A fisherman was casting off a dock right above the diver that was 12 feet above the surface of the water. How far apart are the diver and the fisherman?

A.
28 feet

B.
-52 feet

C.
-28 feet

D.
52 feet

Answers

Answer:

The answer is D.

Step-by-step explanation:

It is D because they cannot be negative feet away and if the fisherman is 12ft above water and the diver is 40ft below than 40 + 12 = 52. Hope this helps.

Find the height and slant height of the cone. Round your answers to the nearest whole number.

Answers

Answer:

Height = 4 cm and slant height = 5 cm

Step-by-step explanation:

Given that,

The surface area of the cone, A = 75.4 cm²

Radius, r = 3 cm

The surface area of the cone is given by the formula as follows :

[tex]A=\pi r^2+\pi rl[/tex]

Put all the values,

[tex]75.4=3.14\times 3^2+3.14\times 3\times l\\\\75.4=28.26+9.42l\\\\75.4-28.26=9.42l\\\\47.14=9.42l\\\\l=\dfrac{47.14}{9.42}\\\\l=5\ cm[/tex]

Also,

[tex]l^2=r^2+h^2\\\\h=\sqrt{l^2-r^2}\\\\h=\sqrt{5^2-3^2}\\\\h=4\ cm[/tex]

Hence, the height of the cone is 4 cm and the slant height is 5 cm.

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