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Simora [160]
3 years ago
11

Help fast pls

Mathematics
1 answer:
Goshia [24]3 years ago
6 0

Answer:

The function is polynomial with the following characteristics

Degree: 5 and leading coefficient: -13.

Step-by-step explanation:

You can see the explanation in the image.

I will like to mention that the question is a little obscure, and the explanation applies for the following function:

f(x) = -13x^{5} -4x^{4} -1

You always have to choose the highest power of x, in order to find the leading term.

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Please help!
Gemiola [76]

Answer:

test test test test test test test test test test test test test test test test test test test test test test test test test test test test test test

4 0
3 years ago
find the equation of a circle which passes through the point (2,-2) and (3,4) and whose centre lies on the line x+y=2
Nadusha1986 [10]

Answer:

Equation of the circle

(x - 0.7)² + (y - 1.3)² = 12.58

Step-by-step explanation:

The formula for the equation of a circle is given as:

(x - a)² + (y - b)² = r²,

where(a, b) is the center of the circle and r = radius of the circle.

a) We are told in the question that the equation of the circle passes through point(2, -2)

Hence,

Substituting 2 for x and -2 for y in the equation of the circle.

(x - a)² + (y - b)² = r²

(2 - a)² +(-2 - b)² = r²

Expanding the bracket

(2 - a) (2 - a) + (-2 - b)(-2 - b) = r²

4 - 2a - 2a +a² +4 +2b +2b +b² = r²

4 - 4a + a² + 4 + 4b + b² = r²

a² + b² -4a + 4b + 4 + 4 = r²

a² + b² -4a + 4b + 8 = r²............Equation 1

We are also told that the equation of the circle also passes through point (3,4) also, where 3 = x and 4 = y

Hence,

Substituting 3 for x and 4 for y in the equation of the circle.

(x - a)² + (y - b)² = r²

(3 - a)² +(4 - b)² = r²

Expanding the bracket

(3 - a) (3 - a) + (4 - b)(4- b) = r²

9 - 3a - 3a +a² +16 -4b -4b +b² = r²

9 -6a + a² + 16 -8b + b² = r²

a² + b² -6a -8b + 9 + 16 = r²

a² + b² -6a -8b + 25 = r²..........Equation 2

The next step would be to subtract Equation 1 from Equation 2

a² + b² -4a + 4b + 8 - (a² + b² -6a -8b + 25) = r² - r²

a² + b² -4a + 4b + 8 - a² - b² +6a +8b - -25= r² - r²

Collecting like terms

a² - a² + b² - b² - 4a + 6a + 4b + 8b +8- 25 = 0

2a + 12b -17 = 0

2a + 12b = 17...........Equation 3

Step 2

We are going to have to find the values of a and b in other to get our equation of the circle.

Since the center of the circle(a, b) lies on x + y = 2

Therefore, we have

a + b = 2

a = 2 - b

2a + 12b = 17 ..........Equation 3

Substituting 2 - b for a in

2(2 - b) + 12b = 17

4 - 2b + 12b = 17

4 + 10b = 17

10b = 17 - 4

10b = 13

b = 13/10

b = 1.3

Substituting 1.3 for b in

a + b = 2

a + 1.3 = 2

a = 2 - 1.3

a = 0.7

hence, a = 0.7, b = 1.3

Step 3

We have to find the value of r using points (2, -2)

(x - a)² + (y - b)² = r²

Where x = 2 and y = -2

(-2 - 0.7)² + (-2 - 1.3)² = r²

(-2.7)² + (-3.3)² = r²

1.69 + 10.89 = r²

r² = 12.58

r = √12.58 = 3.55

Step 4

The formula for the equation of a circle is given as:

(x - a)² + (y - b)² = r²,

where(a, b) is the center of the circle and r = radius of the circle

a = 0.7

b = 1.3

r² = 12.58

Equation of the circle =

(x - 0.7)² + (y - 1.3)² = 12.58

7 0
3 years ago
1
Blizzard [7]
I believe it is false.
7 0
3 years ago
Read 2 more answers
Six less than two times a number is no more than 7
ziro4ka [17]

Answer:

n <=6.5

Step-by-step explanation:

Six less than two times a number is no more than 7

2n-6 <=7

Add 6 to each side

2n-6+6 <=7+6

2n <=13

Divide by 2

2n/2 <=13/2

n <=6.5

3 0
3 years ago
An architect is designing an office building with n floors that will have an FM radio antenna 15.85 m tall on its roof. Each flo
sveticcg [70]

Answer:

h=3.9x+15.85 meters

Step-by-step explanation:

Let's say that the height of the floor just before the roof to the highest point of the roof is also 3.9 m, perhaps, we have an almost flat roof

Since the FM radio antenna is fixed on top of roof, the total height is that of previous floors and the antenna

Taking the building to have x number of floors with each floor having 3.9 m height, the function of height will be

h=3.9x + 15.85 meters

8 0
3 years ago
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