Answer:
x= 16.6
Step-by-step explanation:
The circle is unnecessary. You can just use Pythag Theorem
so
9^2+14^2= c^2
81 + 196 = 277
square root 277
16.64
round to the nearest tenth...
16.6
Tyler concludes that 5x² will always have a larger output for the same value of x.
<u>Look at the graph below and the table given</u>
Take a random value: x = 0
Here, 1 > 0, making 2^x > 5x²
Hence, 2^x is greater than 5x² at this point. making Tyler's point not applicable.
Disagree with Tyler's point.
Answer:
Step-by-step explanation:
The equation of any line in slope-intercept form is:
y=mx+b
Being m the slope and b the y-intercept.
Assume we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
Two points are given: (-6,4) and (-2,2). Calculating the slope:
The equation of the line is, so far:
To calculate the value of b, we use any of the given points, for example (-6,4):
Solving:
b = 1
The equation of the line is:
We can see none of the choices is correct.
Answer:
10
Step-by-step explanation:
Since each ornament takes 1/4 of a piece of Bristol board we divide 2 1/2 by 1/4
2 1/2 = 5/2
(5/2)/(1/4) = 20/2 = 10
Answer:
C = $5 + $1.5(w)
Step-by-step explanation:
Given the following information :
Total shipping cost :
One time fee + fee based on package weight
Given the table :
Weight in pounds - - - - Total shipping cost($)
___4__________________11
___8__________________17
___12_________________23
___16_________________29
We can deduce from the table
For a package that weighs (w) 4 pounds
Total shipping cost = $11
Let one time fee = f
Fee based on weight = r
f + 4(r) = 11 - - - - - (1)
For a package that weighs (w) 8 pounds
Total shipping cost = $17
One time fee = f
Fee based on weight = r
f + 8r = 17 - - - - - (2)
From (1)
f = 11 - 4r - - - (3)
Substitute f = 11 - 4r in (2)
11 - 4r + 8r = 17
-4r + 8r = 17 - 11
4r = 6
r = 6/4
r = 1.5
Put r = 1.5 in (3)
f = 11 - 4(1.5)
f = 11 - 6
f = 5
Hence one time fee = $5
Charge based on weight = $1.5
Hence, Total shipping cost 'C' for a package weighing 'w' will be :
C = $5 + $1.5(w)
