Y + 1 = -3(x - 5)
y + 1 = -3x + 15
y = -3x + 15 - 1
y = -3x + 14 <== or f(x) = -3x + 14
The number of Euros received against 600 dollars = 450
Then
For 1 dollar, the number of euros = (450/600) euros
= (45/60) euros
= ( 3/4) euros
= 0.75 euros
So the unit rate that describes the exchange rate is 0.75 euros per dollar. So the correct option among all the options given in the question is option "A".
I hope the procedure for
getting to the correct result is clear enough for you to understand. In future
you can use this procedure for solving similar problems.
-2(y-3)=22
-2y+6=22
-2y=16
y=-8
For the first one,
you multiply 5x and -5 to get -25.
Then you move the constant to the right and change the sign to get 3x= -21 +25.
Calculate the sum of -21+25 to get 4.
Divide both sides of the equation by 3 to get x=4/3.
So then your final answer is x=4
——
3
For the second one,
Distribute 7 through the parentheses to get 14x + 14+8=120
The you add 14+8 to get 22. Your equation should be 14x+22=120
Move the constant to the right side and change its sign to get 14x=120-22
Subtract 120-22 to get 98. Now your equation should be 14x=98
Divide both sides of the equation by 14 to get x=7.
Your finial answer for the second one should be x=7.
—————————————————————-
I hope this made sense.
Answer:
x = - 1
Step-by-step explanation:
Given
4x = x^2 - 5 Transfer 4x to the right side.
Solution
x^2 - 4x - 5 = 0 Factor
(x - 5)(x + 1)
You want the negative solution. That means that the middle sign must be plus.
x + 1 = 0 Subtract 10 from both sides
x = - 1 Ten on the left disappears by the subtraction process.
Is that correct?
4x = x^2 - 5
x = - 10
4*(-1) = (-1)^2 - 5
-4 = ? 1 - 5
-4 = - 4
and it does work.
