Let f(x)=3x + 5 and g(x) = 3x2 - x - 10. Find (f/g)(x) and state it’s domain

Answer:

[tex]\fbox{\begin{minipage}{13em}approximately 5397.9 dollar\end{minipage}}[/tex]

Step-by-step explanation:

Given:

Lachlan invested $4300 over 5 years at 4.6% p.a., compounded every 6 months.

Solve for:

Total value of his investment.

Step 1: Define the formula to calculate the total value of Lachlan's investment

Total value = Principal x (1 + rate/2)^(Year x 2)

(the rate is divided by 2 and the year is multiplied by 2 because this is compounded semi-annual, not compounded annual)

Step 2: Perform the calculation:

With Principal = 4300$, Rate = 4.6% =4.6/100 = 0.046, Year = 5

=> Total value = 4300 x (1 + 0.046/2)^(5 x 2) ≈ 5397.9$

Hope this helps!

:)

Answer:

Wednesday (9 weeks later) = 10th October.

Step-by-step explanation:

We label the days with the initials of the names.

M= 4

D = 7

B = 6

LCM of 6 +7 = 42

LCM of 6+7 + 4 = 84

We find 84 is the amount of days we need to add on to july 18th

We first find the weeks 84/7 = 9 weeks.

As Wednesday July 18th is exclusive it would be 84 days after this event.

18+ 84 = 102 days.

31 days in july = 31

31 days in Aug = 31

30 days in Sept = 30

= 92

102-92 = 10

We now know date is Wednesday 10th October

We can check 84 days = 9 weeks

13 days in July makes 31st july

31 days in Aug makes 31st Aug

30 days in Sept makes 30th Sept

= 74 days + 10 days = 84

10th October is the checked date and we know it is also a Wednesday as Wednesday had stayed exclusive and prove that there are 7 days in the week to account x 9, to account for an exact 9 weeks later duration.

Answer:

Wednesday, October 10

Step-by-step explanation:

David play every 7 days, so since the first day is a Wednesday, David plays every Wednesday. We need to find the smallest common multiple of 4 and 6 that is also a multiple of 7. Since 4 * 3 = 12 and 6 * 2 = 12, we see that all multiples of 12 are also multiples of 4. We list the multiples of 12:

12, 24, 36, 48, 60, 72, 84, 96, ...

The smallest multiple of 12 that is a multiple of 7 is 84.

The first day all of them play together after July 18th is 84 days later.

84/7 = 12

We look in a calendar, and we see that exactly 12 weeks after July 18 is Wednesday, October 10.

Answer: Wednesday, October 10.

Answer:

D

Step-by-step explanation:

The probability of orange marble is [tex]\frac{1}{7}[/tex]

Probability of tails is [tex]\frac{1}{2}[/tex]

[tex]\frac{1}{2}*\frac{1}{7}=\frac{1}{14}[/tex]

Answer:

Slope= -1x OR -x

Step-by-step explanation:

rise over run: y2 - y1 / x2 - x1

= 3 - (-3) / -4 - 2

= 6 / -6

= -1

Answer:

Y=-x-3 slope =-1

Step-by-step explanation:

To first find the gradient u have to subtract the y intercepts and the x intercepts

3--3/-4-2

=6/-6=-1

Y-3/x--4=-1

Y-3=-1(x+4)

Y-3=-x+-4

Y=-x-4+3

Y=-x-3

Slope=-1

Answer:

If we have following equation right, then the angle between shorter sides is right angle:

Confirmed

Now we can start,

Assume that if the angle between shorter sides is right angle, then the equation should be equal in both sides.

Let's begin the equation,

→ 13² = 12² + 5²

→ 169 = 144 + 25

→ 169 = 169

→ LHS = RHS

Hence, the statement is proved.

Answer:

Step-by-step explanation:

the domain for (2x-1)/(x^2-7) is x not equal to +/- sqrt(7)

Answer:

Brainleist is to be given to me!

Step-by-step explanation:

-2/3

its between -1 and 0 but is closer to -1

the only choises are -1/3 and -2/3 but its closer to -1 so it must be -2/3

Answer:

1

Step-by-step explanation:

because if 1 room is a 3/4 which is almost there but not quite, and 3+3 is 6.. 3/4 + 3/4 is bigger then 6

Answer:

5 rooms can be painted

Step-by-step explanation: we can't paint six rooms because there would be no such thing a 0.2 of a room

Answer:

the answer is B

Step-by-step explanation:

the reason is because 1.25 x the amount of pretzels he wants plus his price of his one drink will be less than or equal to the amount of money he has

Answer:

B

Step-by-step explanation:

Cost of p pretzels = 1.25 * p = $ 1.25p

cost of p pretzels and cost of a soft drink  should be less than or equal to $7.50

1.25p + 0.90 ≤ 7.50

Answer:

8 x 6 x 4 = 192

Step-by-step explanation:

Volume is l x w x h

Answer:

The answer is 192 inches cubed.

Step-by-step explanation:

The formula to solve the volume of a 3-D shape is length times width times height.  So you would multiply 8 times 6 times 4. Then you just add the descriptions.

Answer:

Your answer is seven

the correct answer is 15 + 8.

Answer:

5%

Step-by-step explanation:

To find this percent, first divide 1 by 20.

1/20 = 0.05

Now, convert this decimal to a fraction by moving the decimal point 2 places to the right.

0.05 = 5%

Hope this helps! Feel free to ask me any questions :)

Answer:

5%

Step-by-step explanation:

1/20 = 5/100

5/100 equals 5%

Answer:

Its D

Step-by-step explanation:

just put the answear stop putting this bs

Answer:

The Correct answer you are looking for is (D) - On a coordinate plane, a horizontal line is at y = negative 8.

Step-by-step explanation:

Hope this helped all of you!

Answer is letter (D) the bottom graph.

Answer: 15 degrees

Step-by-step explanation:

180 degrees - 165 degrees = 15 degrees

Answer:

C

Step-by-step explanation:

By observation, we can see very clearly that NR and QS are neither parallel nor perpendicular. Hence we can ignore A and B.

We notice that VT and VU are the same length.

Hence we can conclude that NR and QS must also be the same length (i.e they are congruent)

Therefore C is the answer.

Answer:

730.61664

Step-by-step explanation:

area equals πr2=π·15.252≈730.61664

Answer:

829.15625 units squared

Step-by-step explanation:

The formula for area is A= 3.14 * (r^2). 16.25^2 is 264.0625. 3.14 * 264.0625 is 829.15625.

Answer:

A

Step-by-step explanation:

The two angles given are vertical angles because they are opposite of each other

Hey!!

<a and <b are vertically opposite angles.

Vertically opposite angles are always equal.

Hope it helps..

Good luck on your assignment

Answer: 55%

Step-by-step explanation:

2475/5500 = .45

He sold it for 45% of the price, so it went down by 55%

Answer:

ok

Step-by-step explanation:

ok

Answer:

I will try but how many are there?

Step-by-step explanation:

Answer:

[tex]3a^4b^3[/tex]

Step-by-step explanation:

[tex]\frac{15a^8b^4}{5a^4b}\\\mathrm{Divide\:the\:numbers:}\:\frac{15}{5}=3\\=\frac{3a^8b^4}{a^4b}\\\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}\\\frac{a^8}{a^4}=a^{8-4}\\=\frac{3b^4a^{8-4}}{b}\\\mathrm{Subtract\:the\:numbers:}\:8-4=4\\=\frac{3a^4b^4}{b}\\\mathrm{Cancel\:the\:common\:factor:}\:b\\3a^4b^3[/tex]

Answer:

x = - 5, x = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Given

(2x - 1)(x + 5) = 0

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]

Answer:

x = - 5, x = 1/2

Step-by-step explanation:

(2x - 1)(x + 5) = 0

x + 5 = 0 so x = - 5

2x - 1 = 0 so 2x = 1 so x = 1/2

Answer:

-2019

Step-by-step explanation:

Well you can calculate it.

2018 * 2020 + 1 = 4076361

Square root is 2019.

Since x is negative, the answer is -2019

An equation is a mathematical assertion that is made up of expressions connected by an equal signal. as an instance, 3x – five = sixteen is an equation. solving this equation, we get the fee of the variable x as x = 7.

A variable is used to symbolize something unknown. for instance x, y, z. An expression no longer has an identical signal. as an instance 4 + 10. An equation is made up of 2 expressions and has an identical signal.

Learn more about Equations at https://brainly.com/question/2972832

#SPJ2

Answer:

The correct answer is

b.(1,6]

Answer:

yes

Step-by-step explanation:

y = –x

Substitute the point into the equation

6 = - (-6)

6 = 6

This is true so the point is a solution to the equation

Answer:

20 square units

Step-by-step explanation:

Given,

CD is the base and BD is the height of the given parallelogram.

The attachment of the parallelogram has been attached.

base = CD

length of base CD = 5 - 1 = 4

∴ base= 4 units

height = BD  

length of height BD = 5

∴ height = 5 units

Area of parallelogram = base × height

∴ Area = 4 × 5 = 20 square units

Answer:

20

Step-by-step explanation:

_________________________________

Solution,

Marked price (MP)=$ 38.00

Discount%=30%

Sale price (SP)=?

Now,

Discount amount= discount% of MP

=30%of 38

=$ 11.4

Again,

Sale price(SP)=MP-Discount

= 38-11.4

=$26.60

The right answer is $ 26.60

Hope it helps...

Good luck on your assignment

_______________________________

Answer:

Step-by-step explanation:

[tex]orginal \: \: \: \: price = 38.00[/tex]

[tex]discount \\ percentage= 30\%[/tex]

First we have to find the discount.

[tex]discount = 38 .00\times \frac{30}{100} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 11.40[/tex]

Now let's find the sales price of the shirt.

[tex]sales \: \: \: price \\ =original \: \: \: \: price - \: discount \\ = 38.00 - 11.40 \\ = 26.6 0\\ [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

15 dogs

12 cats

Step-by-step explanation:

Let's call the number of cats c, and the number of dogs d.

4d=5c

c+d=27

4c+4d=108

4c+5c=108

9c=108

c=12

d=27-12=15

Hope this helps!

Answer:

15 dogs and 12 cats

Step-by-step explanation:

You can draw out 27 lines or dots or smth. Then cross off 4. and then keep going. But for every four you cross off, underline or highlight 5. The four represent the cats and the 5 represent the dogs. By the end you should get 15 dogs and 12 cats. Another way you can do this is by mulitplying both the numbers by the same number until they equal 27.

4:5 (*3)

12:15

Answer:

13 square units

Step-by-step explanation:

The area of the parallelogram is 13 square units

The area of a parallelogram is the product of the height and the base of the parallelogram

Assume the parallelogram has the following properties

Base = 6.5 units

Height = 2 units

The area of the parallelogram is calculated as:

Area = Base * Height

So, we have:

Area = 6.5 units * 2 units

Area = 13 square units

Hence, the area of the parallelogram is 13 square units

Read more about areas at:

https://brainly.com/question/24487155

Answer:

3) 0.326

Step-by-step explanation:

Total Number of surveyed households =125

We want to determine the probability that a randomly selected household would have a laptop given that it does not  have a tablet.

Written in Probability notation: P(Laptop|No Tablet)

[tex]P(Laptop|No Tablet)=\dfrac{P(L\cap T')}{P(T')} \\=\dfrac{31/125}{95/125}\\=\dfrac{31}{95}\\\\=0.326[/tex]

The correct option is C,