Answer:
(B) f(-4)=g(-4) and f(0)=g(0)
Step-by-step explanation:
From the given graph, the lines f(x) and g(x) intersects at two different points.
- When x=-4, f(-4)=4 and g(-4)=4
- When x=0, f(0)=4 and g(0)=4
Therefore, the points which represent where f(x)=g(x) are:
- f(-4)=g(-4); and
- f(0)=g(0)
The correct option is B.
Given:
Total number of girls in her class = 16
Total number of boys in her class = 14
To find:
The number of different ways of choosing one girl and one boy.
Solution:
We have,
Total number of girls = 16
Total number of boys = 14
So,
Total number of ways to select one girl from 16 girls = 16
Total number of ways to select one boy from 14 boys = 14
Now, number of different ways of choosing one girl and one boy is

Therefore, the required number of different ways is 224.
Answer:
50
Step-by-step explanation:
Steven = 13 marbles
Julio = 13 marbles
Megan has twice the number of marbles as Steven and Julio combined
Megan = 2 (13 + 13) = 2(26) = 52 marbles
Among the options (26, 13, 50, 169, 338), the only reasonable estimate is 50
Answer:
∅1=15°,∅2=75°,∅3=105°,∅4=165°,∅5=195°,∅6=255°,∅7=285°,
∅8=345°
Step-by-step explanation:
Data
r = 8 sin(2θ), r = 4 and r=4
iqualiting; 8.sin(2∅)=4; sin(2∅)=1/2, 2∅=asin(1/2), 2∅=30°, ∅=15°
according the graph 2, the cut points are:
I quadrant:
0+15° = 15°
90°-15°=75°
II quadrant:
90°+15°=105°
180°-15°=165°
III quadrant:
180°+15°=195°
270°-15°=255°
IV quadrant:
270°+15°=285°
360°-15°=345°
No intersection whit the pole (0)
The correct answer is C. 1.5
You can find this answer by using any of the points on the graph and putting them into the given equation. Then you can solve for the constant. For the purpose of this example, we will use (10, 15)
Height = Constant * Width ---> Plug in known values.
15 = Constant * 10 ----> Divide both sides by 10
1.5 = Constant
This will work with whatever numbers you use from the graph. Although this graph does not have any others to really choose from.