You look for certain key words. The expression "at least" means "greater than or equal to." The expression " is no more than" means "less than or equal to." A sum means an addition. A difference is a subtraction. There are many other words that you need to look out for and translate into math symbols.
Answer:
see explanation
Step-by-step explanation:
Given
- 9 < x - 3 < 1 ( add 3 to each interval )
- 6 < x < 4
Thus integer values which satisfy the inequality are
x = - 5, - 4, - 3, - 2, - 1, 0, 1, 2, 3
Answer:
The first one
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan30° = 
= 
= 
Multiply both sides by 8
8 × tan30° = b, that is
b = 8tan30°
Answer:
y= 2x +12
Step-by-step explanation:
Given:
- line y= 2x -7
- the point (-3. 6)
The line parallel to the given has the same slope of 2, let's find the intercept using the given point:
- y= 2x+b
- 6= 2*(-3)+b
- b= 6+6= 12
So the equation is:
