Answer:
x > 1
Step-by-step explanation:
Subtract 2 from both sides
-26 + 13x > -13x
Add 26 to both sides
13x > -13x + 26
Add 13x to both sides
13x + 13x > -13x + 26 + 13x
Simplify
26x > 26
So x > 1
(A) <em>f(x)</em> = 7 is constant, so <em>f(x</em> + <em>h)</em> = 7, too, which makes <em>f(x</em> + <em>h)</em> - <em>f(x)</em> = 0. So <em>f'(x)</em> = 0.
(B) <em>f(x)</em> = 5<em>x</em> + 1 ==> <em>f(x</em> + <em>h)</em> = 5 (<em>x</em> + <em>h</em>) + 1 = 5<em>x</em> + 5<em>h</em> + 1
==> <em>f(x</em> + <em>h)</em> - <em>f(x)</em> = 5<em>h</em>
Then

(C) <em>f(x)</em> = <em>x</em> ² + 3 ==> <em>f(x</em> + <em>h)</em> = (<em>x</em> + <em>h</em>)² + 3 = <em>x</em> ² + 2<em>xh</em> + <em>h</em> ² + 3
==> <em>f(x</em> + <em>h)</em> - <em>f(x)</em> = 2<em>xh</em> + <em>h</em> ²

(D) <em>f(x)</em> = <em>x</em> ² +<em> </em>4<em>x</em> - 1 ==> <em>f(x</em> + <em>h)</em> = (<em>x</em> + <em>h</em>)² + 4 (<em>x</em> + <em>h</em>) - 1 = <em>x</em> ² + 2<em>xh</em> + <em>h</em> ² + 4<em>x</em> + 4<em>h</em> - 1
==> <em>f(x</em> + <em>h)</em> - <em>f(x)</em> = 2<em>xh</em> + <em>h</em> ² + 4<em>h</em>

Answer:
x = 1/10
Step-by-step explanation:
2/x -2 = 3/2x +3
Add 2 to each side
2/x -2+2 = 3/2x +3+2
2/x = 3 /2x +5
Subtract 3/2x from each side
2/x -3/2x = 3 /2x - 3/2x +5
2/x - 3/2x = 5
Get a common denominator
2/x *2/2 -3/2x =5
4/2x - 3/2x = 5
1/2x =5
Multiply each side by 2x
1 /2x * 2x = 5 *2x
1 = 10x
Divide each side by 10
1/10 = 10x/10
1/10 =x
Answer:
16
Step-by-step explanation:
We can find x using tan 40° which can be represented as x/20. tan 40° is also equal to about 0.8 so that means x / 20 = 0.8 and x = 16.