Answer:
let's start with
6a<42
a<7
Next we simplify
a+4>7
a>7-4
a>3
Step-by-step explanation:
Answer
3<a<7
Answer:
y=-5/2x+4
Step-by-step explanation:
find the slope by using y2-y1/x2-x1
-1-19/2-(-4)
simplify
-20/8
simplify
-5/2
use slope-intercept form, y=mx+b
since we know the slope, find b
plug in one of the ordered pairs into the equation
-1=(-5/2)(2)+b
simplify
-1= -10/2+b
simplify
-1=-5+b
add 5 to both sides
b=4
plug b into y=-5/2x+b
y=-5/2x+4
The perimeter of the square is calculated through the equation,
4x = P
where P is the perimeter and x is the measure of the sides.
When P is 32 units then,
32 units = 4(x)
x = 8 inches
This 8 inches is the diameter of the cylinder formed by the rotation.
The circumference of the base is calculated through,
C = 2πr = πD
Substituting the known values,
C = π(8 units) = <em>8π units
</em><em></em>When π is equal to 3.14, we solve for the numerical value of the cylinder as follows,
<em> C = 8(3.14) = 25.12 units
</em><em></em>Thus, the figure formed is a cylinder with base circumference equal to 25 units. The answer is the third choice. <em>
</em>
504
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Answer:
(f- g)(x) = x - 3
Step-by-step explanation:
(f- g)(x) = f(x) - g(x)
This means that you have to subtract the two equation.
If f(x) = 3x - 2 and g(x) = 2x + 1
Then
f(x) - g(x) = [3x - 2] - [2x+1]
= 3x - 2- 2x - 1
= x - 3
∴ (f- g)(x) = x - 3
