Need Help Please with q2 & q4!!

Question 2: ARITHMETIC SEQUENCES AND SERIES
Tamara has decided to start saving for spending money for her first year of college. Her money is currently in a large suitcase under her bed, modeled by the function s(x) = 450. She is able to babysit to earn extra money and that function would be a(x) = 6(x − 2), where x is measured in hours. Explain to Tamara how she can create a function that combines the two and describe any simplification that can be done.

Question 4: GEOMETRIC SEQUENCES
Tommy has $350 of his graduation gift money saved at home, and the amount is modeled by the function h(x) = 350. He reads about a bank that has savings accounts that accrue interest according to the function s(x) = (1.04)^x−1. Explain how Tommy can combine the two functions to model the total amount of money he will have in his bank account as interest accrues after he deposits his $350. Justify your reasoning.

Answers

Answer 1

Answer:

Question 2: The first function represents the amount of money she'll have from her 450 under her bed.

s(x) = 450

The second function represents the amount of money she'll earn from babysitting per hour (x):

a(x) = 6(x - 2)

To figure the combined amount, we can add the two functions:

f(x) = s(x) + a(x)

f(x) = 450 + 6(x - 2)

From there, she can simplify the function by distributing, then combining the like terms to simplify:

f(x) = 450 + 6x - 12

f(x) = 438 + 6x

Answer:

f(x) = 438 + 6x

Question 4: His functions are;

h(x)=$350

s(x)=(1.04)^x-1

To find total amount of money in Tommy's account using the functions above, we substitute the first equation x=$350 in the second function.


Related Questions

simplify

(a^m/a^n)^m+n×(a^n/a^p)^n+p8×(a^p/a^m)^p+m

step by step

Answers

Answer:

m+a-1mn+m2+a-1np+n2n+a-mp+p2p8

Step-by-step explanation:

i just know sorry if this is wrong... :(

Da heck is this, ima go now, but it’s
A/m/a^m^a/n

From an 18-pound cut of meat, Mr. Rand cuts off steaks weighting 1 pound 15 ounces, 3 1/8 pounds, and 4 1/2 pounds. He divides up the rest into 9-ounces patties and sells them at 3 for $3.12. How much money does he receive for the patties?

Answers

Answer is in the picture

The amount of money received by him will be $15.60.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division

The amount will be calculated as follows:-

The cut off amount = 18 - ( 1(15/16) -3(1/8)-4(1/2) = 8(7/16)

Now 16 ounces make a pound so divide by 16 we get:-

(135/16) ÷ ( 9 / 16 ) = ( 135/16 ) x ( 16 / 9 ) = 15

Dividing 15 by 3 we get 5 packs of 3 patties for $3.12

So amount = 3.12 x 5 = $15.60

Therefore the amount of money received by him will be $15.60.

To know more about Expression follow

https://brainly.com/question/723406

#SPJ2

How do you call a function that have a power higher than 1?

Answers

the power in the function
The power is in the function

Eva conducted a survey to find out the amount of time high schoolers spend surfing the Internet. From the data collected, the range of time spent was 3 hours. What does this range say about the data?

A. The quotient between the greatest amount of time and the least amount of time spent surfing the Internet is 3 hours.

B. The difference between the greatest amount of time and the least amount of time spent surfing the Internet is 3 hours.

C. All the students surveyed spend exactly 3 hours surfing the Internet.

D. All the students surveyed spend an average of 3 hours surfing the Internet.

Answers

Answer

The difference between the greatest amount of time and the least amount of time spent surfing the Internet is 3 hours.

Explanation

The meaning of range is the difference between the largest and smallest numbers in a set.

In this case, it's possible that one of the students spends no time surfing the internet, and another student spends 3 hours. The range of the data would be 3. It's also possible that some students spend 20 hours surfing the internet, and other students spends 23 hours surfing the internet (although, that's obviously unreasonable).

Answer:

B. The difference between the greatest amount of time and the least amount of time spent surfing the Internet is 3 hours.

Step-by-step explanation:

I'm going to leave this person anonymous, but they have deleted 2 of my answers and I'm sick of it, so please stop deleting my answers I'm not trying to violate brainly's rules in any way, shape, or form.

Triangle ABC is transformed to obtain triangle A′B′C′:

A coordinate grid is labeled from negative 12 to 0 to 12 on both x and y axes at increments of 1. Triangle ABC has A at ordered pair negative 12, 12, B at negative 9, 6, C at negative 3, 12. Triangle A prime B prime C prime has A prime at ordered pair 4, negative 4, B prime at 3, negative 2, C prime at 1, negative 4.
Which statement is correct for Triangle ABC. and Triangle A prime B prime C prime.? (5 points)

Triangle ABC is similar to triangle A prime B prime C prime. because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 3. and then rotating it about the origin by 180 degrees
Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 4. and then rotating it about the origin by 90 degrees
Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 4. and then rotating it about the origin by 180 degrees
Triangle ABC is similar to triangle A prime B prime C prime. because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 6. and then rotating it about the origin by 90 degrees

Answers

Answer:

Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 4. and then rotating it about the origin by 180 degrees

Step-by-step explanation:

Mark branalist
Option 1 is correct

A realtor earns 3% commissions on any house sale she makes. If she sells a house for $125000 how much commission is she going to earn? Answer ASAP please for good explanation

Answers

Answer:

$3750

Step-by-step explanation:

It's simple, just find the 3%of $125000

IF YOU SATISFIED WITH THE ANSWER, DON'T FORGET TO MAKE ME A BRAINLISTS.
The answer is 3750

Whenever you have a percentage it will simplify to that out off 100 so if you have 50% it will be equivalent to 50/100 which is equal to .50. So that will be the same with 3% it will be 3/100 and that will make it .03. Than you will multiply it with how much the house sold for which is 125000. So .03*125000 is 3750.
Hopefully this helped you :)

Solve #3 Find the length of the missing side.a) A right triangle has a side length 2.4 cm and 6.5 cm. What is the length of the hypotenuse? b) A right triangle has a side length of and a hypotenuse of 1/4 length . What is the length of the other side? 1/3

Answers

Answer:

A) ≈ 6.93

B) ≈ 0.02

Step-by-step explanation:

A)

Formula : a² + b² = c²

2.4² + 6.5² = c²

5.76 + 42.25 = c²

c = √48.01

c ≈ 6.93

B)

Formula = c² - a² = b²

1/3² - 1/4² = b²

1/9 - 1/16 = b²

b = √7/144

b ≈ 0.02

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

A)

Data:

P = 6.5 cm

B = 2.4 cm

H = ?

▪ [tex]H^{2} = P^{2} + B^{2}[/tex]

=> [tex]H^{2} = 6.5^{2} cm+ 2.4^{2}[/tex] cm

=> [tex]H^{2}[/tex] = 48.01 cm

=> H = [tex]\sqrt{48.01}[/tex] cm

=> H = 6.92 cm

Ans: the length of the hypotenuse is 6.92 cm.

B)

Data:

P = [tex]\frac{1}{4}[/tex]

H = [tex]\frac{1}{3}[/tex]

B = ?

▪ [tex]H^{2} = P^{2} + B^{2}[/tex]

=> [tex]\frac{1}{3}^{2}[/tex] cm = [tex]\frac{1}{4}^{2}[/tex] cm+ [tex]B^{2}[/tex]

=> 0.11 cm = 0.06 cm + [tex]B^{2}[/tex]

=> [tex]B^{2}[/tex] = 0.11 cm - 0.06 cm

=> B = [tex]\sqrt{0.05}[/tex] cm

=> B = [tex]\frac{11}{50} [/tex] cm

Ans: the length of the other side is [tex]\frac{11}{50} [/tex] cm.

Which of the following correctly simplifies the expression 3 to the power of 2 multiplied by 5 to the power of 0 whole over 4, the whole squared.?

3 to the power of 2 multiplied by 1 whole over 4, the whole squared. = 3 to the power of 1 multiplied by 1 squared over 4 squared. = 1 over 6.

3 to the power of 2 multiplied by 0 whole over 4, the whole squared. = 3 to the power of 4 multiplied by 0 over 4 squared. = 0

3 to the power of 2 multiplied by 0 whole over 4, the whole squared. = 3 to the power of 1 multiplied by 0 over 4 squared. = 0

3 to the power of 2 multiplied by 1 whole over 4, the whole squared. = 3 to the power of 4 multiplied by 1 squared over 4 squared. = 81 over 16.

Answers

I think it’s the third option
It is the third one

Evaluate the expression shown below and write your answer as a fraction in simplest form.

Answers

Answer:

[tex]43/100[/tex]

Step-by-step explanation:

First, make both of the denominators into 100.

Then, 3/10 would be 30/100.

Finally, you can add them to get 43/100.

43/100
Make both denominators into 100 so that means 3/10 would be 30/100 then you add both so 30/100+ 13/100 only adding the numerators so it will equal 43/100

y varies inversely as the square of x
y=1.5 when x=8
Find y when x=5

Answers

Answer:

3.84

Step-by-step explanation:

Given that , y varies inversely as the square of x . Mathematically we can write this statement as ,

[tex]\implies\rm y \propto \dfrac{1}{x^2}[/tex]

Let k be the constant . Therefore ,

[tex]\implies\rm y = k \dfrac{1}{x^2}[/tex]

When y = 1.5 and x = 8 :-

Plug in the respective values ,

[tex]\implies\rm y = k \dfrac{1}{x^2} \\\\\implies\rm 1.5 = k \times \dfrac{1}{8^2} \\\\\implies\rm k = 1.5 \times 64 \\\\\implies\rm k = 96[/tex]

When x = 5 :-

[tex]\implies\rm y = k \dfrac{1}{x^2} \\\\\implies\rm y = 96 \times \dfrac{1}{5^2}=\dfrac{ 96}{25} \\\\\implies\rm\boxed{ y = 3.84 }[/tex]

Answer: 3.84

hope it helped!

Triangle ABC is transformed to obtain triangle A′B′C′:


Which statement is correct for Triangle ABC. and Triangle A prime B prime C prime.?

A. Triangle ABC is similar to triangle A prime B prime C prime. because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 3. and then rotating it about the origin by 180 degrees

B. Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 4. and then rotating it about the origin by 90 degrees

C.Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 4. and then rotating it about the origin by 180 degrees

D. Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 6. and then rotating it about the origin by 90 degrees

Answers

Exactly what the other guy said
They are similar because the have the same angles just different sizes

Please solve A sloth moves at a rate of 6 feet per minute. The results are recorded in the table below.a) Determine whether the distance the sloth moves is proportional to the time it moves by graphing on the coordinate plane. Explain your reasoning.b) Write an equation for the line.

Answers

Answer:

A) Yes, it is proportional since on the table, 1 minute is 6 feet, 2 minutes is 12 feet and if you divide both 2 and 12 by 2 then you get 1 and 6.

the slope is 6, y=6x

B) y=6x

Step-by-step explanation:

A because it’s moving at a rate of 6feet

A rectangular lawn is 15 yards by 26 yards. It would cost $9.00 per yard to install a fence around the lawn. How much would it cost to put a fence around the lawn?

Answers

Answer: $738

Step-by-step explanation:

Find the perimeter:

15 + 15 + 26 + 26 = 30 + 52 = 82 yards.

Since it's $9 per yard, multiply:

82 · $9 = $738

Answer:

The answer is $738

Aryona’s ship is 43 miles west off the dock. Aleena’s yacht is 25 miles north from Aryona. How far is Aleena from the dock?

Answers

Answer:

79 miles :p

Step-by-step explanation:

43 + 25

aleena is 79 miles from the dock

please help if you can and if you know how to help me understand these Im all ears.

Answers

Aight let's answer this step by step

What you need to know is if two values are equal either one will be similar to the other it's only the format that's different if you calculate each of the fractions you'll see each pair is equal except for the last option

Where if calculated

8/3=2.67 but

5/4.8=1.04

Therefore values aren't equal to each other

Values aren’t equal to each other

please help i dont know

Answers

Answer:

a/4x-3

Step-by-step explanation:

4 'x' box means: 4x, 3 '-' box means: -3

Answer:

a) 4x-3

I hope this helps have a great day

PLEASE HELP FAST, I CANT GET IT WRONG

Answers

Answer: I think it is 12 divided by 7

It’s 12 divided by 7 which is 1.7

pls help find the angle

Answers

60+x=3x-70
-2x=-130
X=60.5






Hehehdhdhrhhdhdhdhdbdhhdhd X=60.5

Solve for x. Please help fast:

Answers

BC // DE
so AB/BD = BC/DE (thales)
6/x = 5/14
so x = 6x14/5 = 16,8 i guess
I don’t even know how to do this bye

PLEASE HELP Which of the following statements correctly describes the counting principle?

The counting principle lets you multiply the number of options per category to find the total number of possible outcomes.
The counting principle lets you subtract the number of options per category to find the total number of possible outcomes.
The counting principle lets you divide the number of options per category to find the total number of possible outcomes.
The counting principle lets you add the number of options per category to find the total number of possible outcomes.

Answers

Answer:

The counting principle lets you multiply the number of options per category to find the total number of possible outcomes.

Step-by-step explanation:

So the first one.

Answer:

The counting principle lets you multiply the number of options per category to find the total number of possible outcomes.

Step-by-step explanation:

So the first one.

Sylvain spent a total of 18 hours on English and math homework over the last 3 weeks. He spent twice as much time on English than on math. Let x represent the number of hours spent on English and y represent the number of hours spent on math.

x + y = 18. x = 2 y.

What is the solution of the system of equations?
(12, 6)
(6, 12)
(9, 9)
(15, 3)

Answers

Answer:

12, 6

Step-by-step explanation:

we have two equations

x + y = 18 .... . (i)

and x = 2y .... .(ii)

substituting the value of x from eq. (ii) in eq. (i)

2y + y = 18

3y = 18

y = 6

putting this value if y in equation (ii) to get x

x = 2 × 6

= 12

therefore,

(12, 6) is the solution to the system of equations

x = 2y

2y + y = 18 x + y = 18
3y =18 x + 6 = 18
y = 6 x = 12


(12,6)

What is the format of this proof? Given: ∠ABC is a right angle, ∠DBC is a straight angle Prove: ∠ABD is a right angle

Answers

Answer:

Step-by-step explanation:

abd

9(5x + 1) ÷ 3y From the expression above, provide an example of each of the following: sum, term, product, factor, quotient, and coefficient. If any are not present, write "not present." i need in 1 hour

Answers

Answer:

3 ( 5x + 1) / y

Answer.

Sum = 5x + 1

Term = 9 (5x + 1) ÷ 3y

Product = 9 (5x + 1)

Factor = (x - 1)

Quotient = [tex]\frac{15x + 3}{y}[/tex]

Coefficient = 15

I need help with this question. Question in image.
Show working out to answer

Answers

Answer:

Step-by-step explanation:

38

20 (boys) the mean was 62% so times that by 20 it will give me 1240 marks.

After that do 30x70 so number of students times the 70% mean which gives 2100.

Now take the 2100 - 1240 = 860.

After that 860/10 = 86%

20 boys get 62 and 10 girls get 86 this all will equal to 2100.....2100/30 = 70

So the final answer is 86%

Please help will give brainliest

Answers

Answer:

B) 28 inches.

Step-by-step explanation:

After 1/8 of a ribbon is thrown away, the remaining part is cut into two pieces whose lengths are in the ratio 4 : 5.

And we want to find the length of the shorter ribbon from the two remaining pieces.

We are given that 9 inches of the original ribbon was thrown away. Since this is 1/8 of the total length, we can write that:

[tex]\displaystyle \frac{1}{8}L=9[/tex]

Where L represents the total length of the ribbon.

Solve for the total length:

[tex]\displaystyle L=72\text{ inches}[/tex]

So, the original length of the ribbon was 72 inches.

Since we threw away 9 inches of it, we now only have 63 inches.

This is then cut into two pieces in a ratio of 4 : 5. Let x represent the constant. Thus:

[tex](4x)+(5x)=63[/tex]

Solve for x:

[tex]9x=63\Rightarrow x=7[/tex]

Hence, the two remaining ribbons measure 28 inches and 35 inches.

Therefore, our answer is B.

B) 28 hope this helps!!

Help pls, can you solve for x?

Answers

Answer:

X=1.5, but I may be incorrect, hope this helps!

Step-by-step explanation:

FACTS I KNOW:

X has to be less than 2 but greater than 1

Angle B and D are 90 degrees

The complete bottom side is equal to 10

All triangle angles add up to 180 degrees

All angles in rectangles and squares are 90 degrees

All rectangles have 2 sets of 2 of the same sides.

If you take a piece of the top right you could make a rectangle

It would take about .5 of the 2

Therefore X=1.5 approximately, but I may be wrong.


X=1.5 this is not correct dont mind me pls

You are writing a science research paper for your Chemistry class. You can type four pages per hour and you have already typed two pages. Write a function where t represents the number of hours and W(t) is the total pages written.

Answers

Answer: W(t) = 4t + 2

Step-by-step explanation:

y = ax + b

Because you have already typed two pages, the y-intercept(b) will be 2

The slope(a) is the number of pages typed per hour, which is 4.

So if you put it together:

W(t) = 4t + 2

W(t)=4t+2 other guy is right

Identify the initial value and rate of change for the graph shown

A coordinate plane graph is shown. A line passes through the y-intercept at 1 and through the point 5 comma 4.

Initial value: 1, rate of change 3 over 5.
Initial value: 3 over 5., rate of change: 0
Initial value: 1, rate of change 5 over 3.
Initial value: 5 over 3., rate of change: 0

Answers

initial value: 1. rate of change: 3 over 5.
Initial value:1,rate of change 3 over 5

Help please!! I need help on this question I’m stuck on it this is due like in 10 minutes lol

Answers

Answer:

I think the last one.

Step-by-step explanation:

Because whenever you have 5 purple shells you have 3 white shells. So 5p = 3w like how 10p = 6w.

i think the last one should be correct too

lets evaluate (3^6)^1/2

step by step.

Answers

Answer:

27

Step-by-step explanation:

[tex]\bigg(3^6\bigg)^{\frac{1}{2}}[/tex]

use

[tex](a^n)^m=a^{n\cdot m}[/tex]

[tex]\bigg(3^6\bigg)^{\frac{1}{2}}=3^{6\cdot\frac{1}{2}[/tex]

simplify

[tex]6\!\!\!\!\diagup^3\cdot\dfrac{1}{2\!\!\!\!\diagup_1}=3\cdot\dfrac{1}{1}=3\cdot1=3[/tex]

other

[tex]6\cdot\dfrac{1}{2}=\dfrac{6\cdot1}{2}=\dfrac{6}{2}=3[/tex]

therefore

[tex]\bigg(3^6\bigg)^{\frac{1}{2}}=3^{6\cdot\frac{1}{2}}=3^3=\underbrace{3\cdot3\cdot3}_{3}=27[/tex]

[tex]\displaystyle\bf \boldsymbol{\boxed{(a^n)^m=a^{n\cdot m}}} \\\\(3^6)^{\frac{1}{2}} =3^{\frac{6}{2} }=3^3=\boldsymbol{{\boxed {27}}}[/tex]

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