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Arisa [49]
3 years ago
15

What is (f⋅g)(x)? f (x) =x^4−9 g (x) =x^3+9

Mathematics
1 answer:
mojhsa [17]3 years ago
3 0
<span>(f⋅g)(x)=f(x)*g(x) 
</span>f(x)*g(x) = (x⁴−9)(x³+9)=x⁴x³+9x⁴-9x³-81=x⁷+9x⁴-9x³-81
(f⋅g)(x)=x⁷+9x⁴-9x³-81
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Two hot air balloons are traveling along the same path away from a town, beginning from different locations at the same time. He
blagie [28]

Answer:

Henry's balloon was farther from the town at the beginning and Henry's balloon traveled more quickly.

Step-by-step explanation:

The distance of Tasha's balloon from the town is represented by the function y = 8x+ 20 ............. (1)

Where y is the distance in miles from the town and x represents the time of fly in hours.

So, at the start of the journey i.e. at x = 0, y = 20 miles {From equation (1)} from the town.

Again, Tasha's balloon is traveling at a rate of 8 miles per hour.

Now, Henry's balloon begins 30 miles from the town and is 48 miles from the town after 2 hours.

So, Henry's balloon traveling with the speed of  miles per hour.

Therefore, Henry's balloon was farther from the town at the beginning i.e. 30 miles from the town. And Henry's balloon traveled more quickly i.e at the rate of 9 miles per hour.

4 0
3 years ago
Select the prime number in each exercise <br> 37, 38, 39, 40, 42
olga nikolaevna [1]

Answer:

37 is prime number

Step-by-step explanation:

To prove whether a number is a prime number, first try dividing it by 2, and see if you get a whole number. If you do, it can't be a prime number. If you don't get a whole number, next try dividing it by prime numbers: 3, 5, 7, 11 (9 is divisible by 3) and so on, always dividing by a prime number 

7 0
2 years ago
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Can someone give me three possible solutions?
astraxan [27]
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4 0
3 years ago
Find the measure of angle 4
Morgarella [4.7K]

Answer:

38

Step-by-step explanation:

Notice that the first triangle is an isosceles triangle, meaning that the base angles are equivalent. Since one angle is 62, we know that the other is 62 as well, which makes 124. This means that angle 2 is 56 degrees. Since 2 and 3 are on the same 'line', they both add up to 180. If 2 is 56, then angle 3 is 124. So the three angles inside the triangle are 124, 18, and x. So, 124+18=142. 180-142= 38

6 0
3 years ago
HELP!!!!! ASAP PLEASE!!!!!!!!!!
Nataly_w [17]

Answer:

Tangent line states that a line in the plane of a circle that intersect the circle in exactly one point.

Common external tangent states that a common tangent that does not intersects the line segment joining the centers of circle.

Common internal tangent states that a common tangent that intersects the line segment joining the centers of circle.

Circumscribe polygon states that a polygon with all sides tangent to a circle contained within the polygon.

Therefore:

A polygon with all sides tangent to a circle contained within the polygon = Circumscribe polygon

A common tangent that intersects the line segment joining the centers of circle = Common internal tangent

A common tangent that does not intersects the line segment joining the centers of circle = Common external tangent

a line in the plane of a circle that intersect the circle in exactly one point = Tangent line

3 0
3 years ago
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