I need help solving systems of equations by substitution

HELP PLEASE I do not know what to do i can only add photos of the answers i need help fast thank you

IRISSAK [1]

Answer:

f(x) = 3 if x ≤ -2

= 1 if x > -2 ⇒ attached figure

Step-by-step explanation:

* Lets explain how to answer the question

- For the part of the graph on the left side (2nd quadrant)

- There is a horizontal line start from x = -∞ and stop at x = -2

- The end of the line is black dot means x = -2 belongs to the function

- The horizontal line drawn at y = 3

∴ The equation of the horizontal line is y = 3

∴ The function represents this part of graph is y = 3 if x ≤ -2

- The other part of the graph is also horizontal line start from

x = -2 to x = ∞

- The end of the line is white dot means x = -2 does not belong

to the function

- The horizontal line drawn at y = 1

∴ The equation of the horizontal line is y = 1

∴ The function represents this part of graph is y = 1 if x > -2

* f(x) = 3 if x ≤ -2

= 1 if x > -2

- The answer is attached

6 0

3 years ago

On a huge site in San-Diego the whole new street of houses was constructed. To put the numbers on all new buildings the plates w

Papessa [141]

<h2>There are 45 houses on the left and require 95 plates, while there are 44 houses on the right and require 94 plates</h2>

Step-by-step explanation:

Houses are numbered from 1 to 99. So, there are 99 houses. Odd-numbered houses are on the left. So, there are 50 houses on the left, while there are 49 houses on the right.

For houses on left : The houses are numbered 1, 3, 5, 7, 9, 11, 13..... 97, 99

So 5 houses( 1, 3, 5, 7, 9) require only one plate for numbering, while the remaining 45 houses require 2 plates each. So total number of plates = $5\textrm{x}1+45\textrm{x}2$ = $95$ plates.

For houses on right : The houses are numbered 2, 4, 6, 8, 10, 12, 14.... 96, 98

So 4 houses( 2, 4, 6, 8) require only one plate for numbering, while the remaining 45 houses require 2 plates each. So total number of plates = $4\textrm{x}1+45\textrm{x}2$ = $94$ plates.

∴ There are 45 houses on the left and require 95 plates, while there are 44 houses on the right and require 94 plates.

8 0

3 years ago

If you raise your workers salary be a scale factor of 9/5 and their salary is now $14.80 what was it before?

asambeis [7]

Answer:

8

Step-by-step explanation:

4 0

3 years ago

75,575 how do the values of the digit differ in the number?

Vsevolod [243]

Answer:

75,575 - ten-thousands place; this 7 is worth 70,000

75,575 - thousands place; this 5 is worth 5,000

75,575 - hundreds place; this 5 is worth 500

75,575 - tens place; this 7 is worth 70

75,575 - ones place; this 5 is worth 5

8 0

4 years ago

How many years will it take an account to double in value, assuming a 5.2% interest rate compounded quarterly? Round your answer

zhuklara [117]

The money account is doubled at an interest rate of 5.2 % compunded quarterly, that is, under the model of compound interest in a time period of about 3.5 years.

<h3>How to determine the doubling time of money account</h3>

The compound interest takes into account the change of money deposited in time in contrast with the simple interest, which only takes the initial amount of money into account. Please notice that four quarters equals a year.

The compound interest formula is described below:

C = C' · (1 + r/100)ⁿ (1)

Where:

r - Interest rate
n - Number of periods
C' - Initial money amount
C - Current money amount

If we know that C = 2 · C' and r = 5.2, then the doubling time is:

n = /㏒ C/C'/㏒ (1 + r/100)

n = ㏒ 2/㏒ 1.052

n ≈ 13.674

The money account is doubled at an interest rate of 5.2 % compunded quarterly, that is, under the model of compound interest in a time period of about 3.5 years. $\blacksquare$

To learn more on compound interests, we kindly invite to check this verified question: brainly.com/question/14295570

7 0

2 years ago