-2x +12 < -4
-2x +12 -12 < -4 - 12
-2x < -16
-2x divided by -2 > -16 divided by -2
x > 8
Answer:
<em>The input when the output is 17 is x=6.</em>
Step-by-step explanation:
<u>Functions</u>
Assume the input is called x and the output is the function f(x). Two times the input is 2x. 5 more than that is 2x+5.
Knowing the output of the function is 5 more than 2 times the input, we can write the function as:
f(x)=2x+5
Now find the input x when the output is 17:
17=2x+5
Swap sides of the equation:
2x+5=17
Subtract 5:
2x=17-5=12
Divide by 2:
x=12/6=6
The input when the output is 17 is x=6.
1010 + 2727x = y
x*y = 1211712117
x*(1010 + 2727x) = 1211712117
2727x^2 + 1010x - 1211712117 = 0
Here's the nasty part.
In order for this to work, the square root of the quadratic formula must come back with an integer. In fact sqrt (b^2 - 4ac) comes back with
3635568.29 something. which is not a whole number. Either there is an error in the givens or something, but this question is never going to do what you think it will do.
Answer:
- 8x + 3
Step-by-step explanation:
(f + g)(x)
= f(x) + g(x)
= - 5x + 3 + (- 3x)
= - 5x + 3 - 3x ← collect like terms
= - 8x + 3
Answer:
y = -2x - 7
Step-by-step explanation:
x - 2y = 6
-2y = -x + 6
Divide the whole equation by (-2)
slope = 1/2
Slope of the line perpendicular to this line = -1/m = -1 ÷ (1/2)
(-3, - 1)
y -y1 = m(x -x1)
y - [-1] = -2(x - [-3])
y + 1 = -2(x + 3)
y + 1= x* (-2) + 3*(-2)
y + 1 = -2x - 6
y = -2x - 6 - 1
y = -2x - 7
