Answer:
x < 4
Step-by-step explanation:
3/4(x+8)>1/2(2x+10) (multiply both sides by 4)
(4)(3/4)(x+8)>(4)(1/2)(2x+10)
3(x+8)>2 (2x+10) (expand parentheses by distribution property)
x(3)+8(3)>(2x)(2)+10(2)
3x+24>4x+20 (subtract 3x from both sides)
3x+24 - 3x > 4x+20- 3x
24 > x+20 (subtract 20 from both sides)
24 - 20 > x + 20 - 20
4 > x (rearrange)
x < 4
Answer:
The correct graph of h(x) will be number 3 (c).
Step-by-step explanation:
We have the function h(x) = |x| + 0.5
On putting x=0, in the function h(x), we get,
h(0) = |0| + 0.5
h(0)=0 + 0.5
h(0)=0.5
Thus, the point (0,0.5) lie on the graph of h(x).
Ok I think it means that the length

of the rectangle is 2 m more than is width

...
The area is A=

so:

Solving this equation (using the quadratic formula) you get 2 solutons. The only acceptable is the positive one, i.e.

, the length will then be

.
Answer:69
Step-by-step explanation:
69•2= 138
69-11=58
58•3=174
174+138=312