Answer:
A
Step-by-step explanation:
(fg)(x) = f(x)*g(x) = (5x-2)(1-2x) = 5x-10x^2-2+4x = a
F is located on the numbe<u>r 4.5</u><u> </u>on the number line.
<h3>
</h3><h3>
Where does point F lie on the number line?</h3>
We know that point D is at -6
Point E is at 8.
Point F is between D and E, such that the ratio:
DF:FE is 3:1
So if we divide the distance between D and E in 4 parts, 3 of these parts are DF, and one of these parts is FE.
First, the distance between E and D is:
distance = 8 - (-6) = 14 units.
Now, if we divide that by 4, we get:
14/4 = 3.5
Then we have:
DF = 3*(3.5) = 10.5
This means that F is at 10.5 units to the right of D, then:
F = D + 10.5 = -6 + 10.5 = 4.5
F is located on the numbe<u>r 4.5</u><u> </u>on the number line.
If you want to learn more about ratios:
brainly.com/question/2328454
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Using vector concepts, it is found that:
The component form is of approximately (-9.58, 7,22). It means that the ship is about 9.58 miles to the west and about 7.22 miles to the north of where the ship left the port.
<h3>How can a vector be represented in component notation?</h3>
Given a magnitude M and angle 
, then a vector V can be represented as follows in component notation:
In this problem, the magnitude and the angle are given, respectively, by:
Hence:
V = [12cos(143º), 12sin(143º)] = (-9.58, 7,22).
Which means a displacement of 9.58 miles to the west(negative x = west) and 7.22 miles to the north(positive y = north).
The component form is of approximately (-9.58, 7,22). It means that the ship is about 9.58 miles to the west and about 7.22 miles to the north of where the ship left the port.
More can be learned about vectors at brainly.com/question/24606590
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Answer:$75.04
Step-by-step explanation:
last year price=$67
12% of 67
12/100 x 67
(12 x 67) ➗ 100
804 ➗ 100=8.04
Since it has risen by 12%
There new price is 67+8.04=75.04
