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Katyanochek1 [597]
2 years ago
13

Write the linear function f with the values f(1) = 1 and f(-3) = 17. (Note: Use f(x) instead of y.) Show work to get full credit

s.
Mathematics
1 answer:
Ilya [14]2 years ago
4 0

Given:

f(1) = 1 and f(-3) = 17

To find:

The lines function f.

Solution:

If f(a) = b, it means the function f passes through (a,b).

Here, f(1) = 1, it means the function f passes through (1,1).

f(-3) = 17, it means the function f passes through (-3,17).

If a linear function passes through two point (x_1,y_1)\text{ and }(x_2,y_2), then the equation of line is

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

The linear function f passes through (1,1) amd (-3,17). So, the equation of linear function is

y-1=\dfrac{17-1}{-3-1}(x-1)

y-1=\dfrac{16}{-4}(x-1)

y-1=-4(x-1)

y-1=-4x+4

Add 1 on both sides.

y-1+1=-4x+4+1

y=-4x+5

Put y=f(x), to write in function notation.

f(x)=-4x+5

Therefore, required lines function is f(x)=-4x+5.

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Answer:

3x2^y

Step-by-step explanation:

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2 years ago
877 to binary, octal, and hexadecimal
statuscvo [17]
Our number system is in base 10, which means that each digit has a value that is a multiple of 10.

For ex:
877 literally means
8  7  7   where each digit is multiplied by
10^ 2   10 ^1   10^0  respectively
which is 8 * 10^ 2 + 7 * 10^1 + 7 * 10^0 = 8 * 100 + 7 * 10 + 7 * 1 = 800 + 70 + 7 = 877

Binary is in base 2, so each of its digits (which can only be 0 or 1) are multiplied by multiples of 2 (2^0, 2^1, 2^2 ect.)

To find what 877 is in binary you can do the following:
the symbol : means divide and i'll write the quotient + the remainder

877 : 2 = 438 + 1  (438 is the quotient, 1 is the remainder)
438 : 2 = 219 + 0
219 : 2 = 109 + 1
109 : 2 = 54 + 1
54 : 2 = 27 + 0
27 : 2 = 13 + 1
13 : 2 = 6 + 1
6 : 2 = 3 + 0
3 : 2 = 1 + 1
1: 2 = 0 + 1

now write ALL off the remainders from BOTTOM to TOP:
1101101101

use a similar step for octal (use 8 instead of 2 as the divisor) and hexidecimal (use 16 instead of 2 as the divisor) 


6 0
3 years ago
H(W) = 80/w<br> What is the domain of the function?
AnnyKZ [126]

To find the domain, we find every single value that can exist along the x axis.

One can notice here that w is in the denominator, which means a value doesn't exist at 0, because we can't have 0 in the denominator.

Answer:

(-∞,0) U (0,∞)

6 0
3 years ago
Help ASAP !<br> Help ASAP !<br> Help ASAP !
Rzqust [24]

Answer:

21/40

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Malory isn’t putting money in two savings accounts.Account A started with $150 and Account B started with $300.Malory deposits $
EastWind [94]

Given:

  • There are two savings accounts - account A has $150 and account B has $300 to begin with.
  • Malorie deposits $16 in account A and $12 in account B every month.

To Find:

The number of months where the balance of both is equal and the balance itself.

Solution:

In 37.5 months, the account balances in both accounts will be equal.

This balance will be equal to $750 in both account A and B.

Calculation:

Let x be the number of months where both the accounts have equal balance.

So, at the end of x months, 16x is the amount of money that will be added to account A (since $16 is added every month).

And the total amount at the end of x months will therefore be $(150+16x)

Similarly, at the end of x months, 12x is the amount of money that will be added to account B (since $12 will be added every month).

And the total amount at the end of x months will therefore be $(300+12x)

By our assumption, x is the number of months it will take for both the accont balances will be equal. Therefore, we have the equation

150+16x=300+12x\\4x=150\\x=37.5

Therefore, in 37.5 months, the account balances in both accounts will be equal.

This balance will be equal to 150+16(37.5)=750 i.e. $750 will be the balance in both account A and B.

8 0
3 years ago
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