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NemiM [27]
3 years ago
14

An equation that defines y as a function of x is given. Solve for y in terms of x, and replace y with the function notation f(x)

.
x - 2y = 14


A.f(x) = x - 14

B.f(x) = - x + 7

C.f(x) = x - 7

D.f(x) = -x + 7
Mathematics
1 answer:
34kurt3 years ago
3 0

Answer:C

Step-by-step explanation:

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gulaghasi [49]

Answer:

Ste-by-step explanation:

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6 0
3 years ago
A polynomial has been factored, as shown below: f(x) = (x − 6)(x + 5)(x − 9) What are the zeros of the polynomial? (5 points)
soldi70 [24.7K]

<span>x=6</span>, <span>x=−5</span> or <span>x=9</span>

Explanation:

<span><span>f<span>(x)</span></span>=<span>(x−6)</span><span>(x+5)</span><span>(x−9)</span></span>

If all of the linear factors are non-zero, then so is their product <span>f<span>(x)</span></span>.

If any of the linear factors is zero, then so is their product <span>f<span>(x)</span></span>.

5 0
3 years ago
PLS HURRY Point S is translated 5 units to the left and 12 units up to create point S'. Find the distance between point S and po
svet-max [94.6K]

Given:

Point S is translated 5 units to the left and 12 units up to create point S'.

To find:

The distance between the points S and S'.

Solution:

Point S is translated 5 units to the left and 12 units up to create point S'.

The diagram for the given problem is shown below.

From the below figure it is clear that the distance between the point S and S' is the height of a right triangle whose legs are 5 units and 12 units.

By Pythagoras theorem,

Hypotenuse^2=Perpendicular^2+Base^2

SS'^2=(12)^2+(5)^2

SS'^2=144+25

SS'^2=169

Taking square root on both sides.

SS'=\sqrt{169}

SS'=13

Therefore, the distance between S and S' is 13 units.

8 0
3 years ago
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Rama09 [41]

Answer:

Step-by-step explanation:

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4 0
3 years ago
Kim took out a $55,000 loan for college. She is borrowing money from two banks. Bank A charges an interest rate of 8%, and Bank
stellarik [79]
Kim's Loan:
Let A =  amount borrowed from bank A.
Let B =  amount borrowed from bank B.

The total loan is $55,000.
Therefore
A + B = 55000                  (1)

Bank A charges 8% interest. The interest after 1 year is 0.08A.
Bank B charges 11% interest. The interest after 1 year is 0.11B.
Total interest after 1 year is $5,000.
Therefore
0.08A + 0.11B = 5000      (2)

From (1), obtain
B = 55000 - A                  (3)

Substitute (3) into (2).
0.08A + 0.11(55000 - A) = 5000
0.08A + 6050 - 0.11A = 5000
-0.03A = -1050
A = -1050/-0.03 = 35000

Answer:  Kim borrowed $35,000 from bank A.

Jack's Loan.
A = loan from bank A.
B = loan from bank B.
The total loan is $10,000.
Therefore
A + B = 10000                  (4)

Bank A charges 5% interest and bank B charges 6% interest.
Total interest after 1 year is $530, therefore
0.05A + 0.06B = 530       (5)

From (4), obtain
B = 10000 - A                       (6)

Substitute (6) into (5).
0.05A + 0.06(10000 - A) = 530
0.05A + 600 - 0.06A = 530
-0.01A = -70
A = -70/-0.01 = 7000

Answer: Jack borrowed $7,000 from bank A.
3 0
3 years ago
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