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Alex73 [517]
3 years ago
5

1927923x+3(4x+-7)+-9 ​

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
4 0

1927923x+3(4x−7)−9 (distribute)

1927923x+12x−21−9 (-21-9 = 30)

1927923x+12x−30 (Add like terms (1927923x+12x))

There’s your final answer: 1927935x−30
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How to distribute this problem:<br> (x-8)^2 + 16
Usimov [2.4K]

Answer:

We conclude that:

\left(x-8\right)^2+16=x^2-16x+80

Step-by-step explanation:

Given the equation

\left(x-8\right)^2\:+\:16

First, solve (x - 8)²

Apply Perfect Square formula:    (a - b)² = a² - 2ab + b²

a=x,\:\:b=8

\left(x-8\right)^2=x^2-2x\cdot \:\:8+8^2

             =x^2-16x+64

so the expression becomes

\left(x-8\right)^2+16=x^2-16x+64+16

                     =x^2-16x+80           Add the numbers: 64+16=80

Therefore, we conclude that:

\left(x-8\right)^2+16=x^2-16x+80

4 0
2 years ago
Hey, how do I apply the digital root method to division? Thanks.
REY [17]

Step-by-step explanation:

The digital root of a number is the single digit that you get by adding all of the digits of the original number together. If the result of that is multiple digits, you add those digits together, repeating the process until you get a single digit. That digit is the digital root of the original number.

example given

257520643

2+5+7+5+2+0+6+4+3

7+12+2+10+3

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8+4+1+3

8+4+4

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5 0
3 years ago
Hana is playing a virtual reality game in which she must toss a disc to land on the largest triangular section of the board. If
svetoff [14.1K]

Answer:

Her probability of success is 1/2

Step-by-step explanation:

Firstly, we have to calculate the area of the entire board

That would be the rectangle of the measure 50 cm by 40 cm

We have the area as the product of this two

That would be 50 * 40 = 2,000 cm^2

Now, the value calculated is the area of the entire possible landing area

Secondly, we need to get the area that counts as a success

that would be the area of the triangle that has a base of 50 cm and a height of 40 cm

The area of this is the product of the two divided by 2

we have this as ;

50 * 40 * 1/2 = 1,000 cm^2

So, her probability of success is simply the area of the triangle divided by the area of the rectangle

= 1000/2000 = 1/2

8 0
2 years ago
30 points need help. WILL MARK BRAINLIEST. Identify the initial amount a and the rate of growth r (as a percent) of the exponent
weqwewe [10]

Answer:

A=6.72

R=2%

g(5)=215.04

Step-by-step explanation:

explanation is the picture.

HOPE THIS HELPED!!! HAVE A GREAT DAY!!!

4 0
3 years ago
Mary would like to save $10 000 at the end of 5 years for a future down payment on a car
suter [353]

Answer:

a) $161.8

b i) Approximately 327.7 hours

ii) The cost of saving is less but the opportunity cost of saving can be higher with regards to technology and regulation

Step-by-step explanation:

The amount Mary would like to save, FV = $10,000

The time Mary over which Mary intends to save the amount, t = 5 years

Therefore, the number of monthly payments, n = 12

a) The amount in interest the bank pays compounding, i = 1.2% per annum

The amount that Mary will deposit each month is given as follows;

The compound interest formula is given as follows;

PMT = \dfrac{FV}{\left (\dfrac{ \left (1 + \dfrac{i}{12}  \right )^n - 1}{ \dfrac{i}{12}} \right)}

Where;

PMT = The monthly payment

Therefore, we get;

PMT = \dfrac{10,000}{\left (\dfrac{ \left (1 + \dfrac{0.012}{12}  \right )^{60} - 1}{ \dfrac{0.012}{12}} \right)} \approx 161.8

PMT = 10,000/((1 + 0.012/12)^(60) - 1)/(0.012/12)) ≈ 161.8

The amount she needs to deposit monthly, PMT ≈ $161.8

b i) Given that the minimum wage varies and we have a minimum wage here is officially approximately $79, which is 160 hours a month work

The number of hours work needed = 161.8/79 × 160 ≈ 327.7 hours a month approximately

b ii) Given that the interest rate for saving is lower than the interest rate for borrowing, the amount paid by saving is much lesser than the amount paid back when borrowing, therefore, it is more cost effective to save

However, while saving, changes may take place, such as the use of what is being saved for, therefore, it can be more beneficial to borrow and make use of the items now while they are still available and acceptable, such as the drive towards net zero is making fuel based cars less popular with the drive being towards electric cars.

7 0
2 years ago
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