Answer: 5/12 of the whole pizza
So we start we the whole pizza = 1
Then he ate 3/8:
1 - 3/8
And then 2/3 of what was left:
2/3(1 - 3/8)
2/3 - 1/4
8/12 - 3/12
5/12
The line g(x) has slope ...
(change in y)/(change in x) = (-18 -(-20))/(1 - 0) = 2
so can be written in slope-intercept form as
g(x) = 2x -20
The x-intercept of this line is at x=10.
0 = 2x -20 . . . . the x-intercept is where g(x) = 0
20 = 2x
10 = x
The circle also intersects the x-axis at x=10, so that will be one point that is shared by the circle and g(x). A graph shows there is also another point of intersection, (6, -8).
Yes, the linear function g(x) will intersect the circle at 2 points with positive x-coordinates.
Answer:
x = 2.98
Step-by-step explanation:
5^2x + 1 - 5^2x = 150
25x + 1 + 25x = 150
50x + 1 = 150
50x = 149
x = 2.98
5^2x + 1 - 5^2x = ?
5^2(2.98) + 1 - 5^2(2.98) = ?
25(2.98) + 1 + 25(2.98) = ?
74.5 + 1 + 74.5 = ?
149 + 1 = ?
150 = ?
Answer:
y = -2x + 3
Step-by-step explanation:
<u>Step 1: Find out what each part of slope intercept form is</u>
Slope Intercept Form: y = mx + b
<em>m is the slope</em>
<em>b is the y-intercept</em>
<u>Step 2: Plug in the information into the formula</u>
m/slope = -2
b/y-int = 3
<em>y = -2x + 3</em>
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Answer: y = -2x + 3