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Artist 52 [7]
3 years ago
14

30. f(x) = 11x3 + 3x2 - 4x + 2 and g(x) = 5x3 - 7x + 2. What is f(x) – g(x)? Show all of your steps and

Mathematics
1 answer:
balandron [24]3 years ago
3 0

Answer:

3x(2x^2 +x-1)

Step-by-step explanation:

f(x) = 11x^3 + 3x^2 - 4x + 2,

g(x) = 5x^3 - 7x + 2,

f(x) - g(x) =11x^3+3x^2-4x+2 - (5x^3-7x + 2)=

11x^3+3x^2 -4x+2-5x^3+7x-2=

(11x^3-5x^3)+3x^2+(-4x+7x)+(2-2)=

6x^3 +3x^2 - 3x=

3x(2x^2 +x-1)

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Evaluate the function f(x) at the given numbers (correct to six decimal places). f(x) = x2 − 9x x2 − 8x − 9 , x = 0, −0.5, −0.9,
Lilit [14]

Answer:

See the attachment. (All results are integers, so are correct to 6 decimal places.)

Step-by-step explanation:

The function simplifies to ...

... f(x) = x(x-9)/((x+1)(x-9))

... f(x) = x/(x+1) . . . for x ≠ 9

6 0
3 years ago
Which is a possible measure of DCA in the triangle below?
krok68 [10]

Answer:

70°

Step-by-step explanation:

The total angle in a triangle is 180°. The total angle in a straight line is 180°. From the image attached, the ∠DCA must be greater than 45° because ∠BCA is greater than 90°. This means that ∠DCA is not 36° or 38° or 40° but it is 70°.

Therefore ∠DCA = 70°.

∠BCA + ∠DCA = 180° (angle on a straight line)

∠BCA = 180 - ∠DCA = 180 - 70 = 110°

∠BCA  + ∠BAC + 40 = 180° (angle in a triangle)

∠BAC = 180 - 110 - 40 = 30°

5 0
3 years ago
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3496

Step-by-step explanation:

multiple for mine idea

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2 years ago
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David hikes 21/4 miles in 1/2 an hour. What is his rate in miles per hour? At this rate, how long will it take him to walk 18 mi
harkovskaia [24]

Answer:

A) speed = 10.5 miles per hour

B) Time taken by him = 1.714 hours

C)  Distance = 10.5 mph × 7 hours = 73.5   miles

Step-by-step explanation:

Given as :

The distance cover by David = \frac{21}{4} miles = 5.25 miles

The time taken by David        = \frac{1}{2}  hours  = 0.5 hours

Let the speed                          = x mile per hour

So, Distance = Speed × Time

A)or,  Speed = \frac{Distance}{Time}

Or,  Speed = \frac{5.25}{0.5}

∴     speed = 10.5 miles per hour

<u>B) Again The Distance cover by him = 18 miles</u>

SO, with speed 10.5 miles per hour

The Time taken by him =  \frac{Distance}{speed} hours

Or, Time taken by him =  \frac{18}{10.5} hours

∴    Time taken by him = 1.714 hours

<u>C) Again the Time taken by him = 7 hours   </u>

So, Distance cover by him with speed 10.5 mph

Or, Distance = 10.5 mph × 7 hours = 73.5   miles

A) speed = 10.5 miles per hour

B) Time taken by him = 1.714 hours

C)  Distance = 10.5 mph × 7 hours = 73.5   miles   Answes

8 0
3 years ago
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