Part A
The first thing we must do for this case is to rewrite both expressions.
We have then:
1/2 (7x + 48) = (7/2) x + 24
- [1 / 2x - 3] + 4 (x + 5) = - (1/2) x + 3 + 4x + 20 = (7/2) x + 23
Answer:
We note that the first expression is greater than the second for all values of x.
Part B:
A new expression that is greater than both written expressions is:
(7/2) x + 25
For all values of x, this expression is always greater.
Answer:
(7/2) x + 25
Answer:
5
Step-by-step explanation:
Take two points
(-3, -1) and (1,2)
Find slope
slope formula: m = y2 - y1 / x2 - x1
m = 2 - (-1) / 1 - (-3) = 2 + 1 / 1 + 3 = 3/4
Substitute one of the points into slope intercept form (y =mx + b) to find the y intercept.
y= mx + b
2 = 3/4(1) + b
2 = 3/4 + b
1.25 = b
So:
y = 3/4x + 1.25
By using what we know about polynomials, we will see that the missing side measures 8x - 1
<h3 /><h3>How to get the perimeter of a triangle?</h3>
The perimeter of a triangle is just the sum of its 3 sides, in the image the two known sides are: 3x - 5 and x + 2, and the missing side measures p(x).
Then we will have that the perimeter is the sum of these 3 lengths:
13x - 4 = 3x - 5 + 2x + 2 + p(x)
13x - 4 = 5x - 3 + p(x)
Now we can assume that p(x) is also a linear polynomial, so:
p(x) = a*x + b
Then we have:
13x - 4 = 5x - 3 + a*x + b
This means that:
5 + a = 13
-3 + b = -4
Solving these we get:
a = 13 - 5 = 8
b = -4 + 3 = -1
This means that the missing length is:
p(x) = 8x - 1
If you want to learn more about polynomials, you can read:
brainly.com/question/4142886
