Answer:
The answer to your question is:
a) Letter B
b) Letter D
Step-by-step explanation:
a) | x | + 3 < 10
Formula
| x | < a ⇒ - a < x < a
| x | + 3 < 10
| x | < 10 - 3
|x | < 7 solution - 7 < x < 7
or -7 < x and x < 7 Letter B
b) it must be letter D x < 4 and x < 1
Answer:
The slope of the line is 
Step-by-step explanation:
For any line 
, a line that is perpendicular to it is 
.
Therefore the slope of the perpendicular line is 
.
For our case 
therefore the slope of the prependicular is the reciprocal of 
multiplied by 
Answer:
2x3=6 and that the number of frogs heather has or you can do this Ava has 2 frogs and heather has 1/3 more then take the 2 and add it to the 1 and that makes three. then take both of the threes and add them together and you then have the same number of 6
Step-by-step explanation:
Answer:
x₁ > x₂
Step-by-step explanation:
Both actions imply a parable trajectories, since both are projectile shot cases.
Let´s call x₁ maximum distance in the first case
The maximum height is just in the middle of the curve, therefore x₁ the maximum horizontal distance is equal to 60 feet.
In the second case, the parable curve is modeled by:
y = x₂*( 0.08 - 0.002x₂) or y = 0.08*x₂ - 0.002*x₂²
A second degree equation, solving for x₂ and dismissing the value x₂ = 0
we get:
y = 0 ⇒ x₂*( 0.08 - 0.002x₂) = 0 x₂ = 0
And 0,08 - 0.002*x₂ = 0
- 0.002*x₂ = - 0.08
x₂ = 0.08/0.002
x₂ = 40 f
Then x₁ > x₂
Answer:
$54.51
Step-by-step explanation:
an easier way to do this is simply by multiplying 47.40x115%, which is 54.51.
another way to do this is by multiplying 47.40x15%, which is 7.11, then you'll have to added to 47.4, which gives you the same answer of 54.51
