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valina [46]
3 years ago
11

An x-method chart shows the product a c at the top of x and b at the bottom of x. Below the chart is the expression a x squared

+ b x + c.
Consider the polynomial 16x2 – 1.

What is the value of ac?



What is the value of b?



What two numbers multiply to get ac and add to get b?



The factored form of 16x2 – 1 is .
Mathematics
1 answer:
worty [1.4K]3 years ago
4 0

What is the value of ac?    -16

What is the value of b?      0

What two numbers multiply to get ac and add to get b?      -4 and 4

The factored form of 16x2 – 1 is-   ( 4x-1 )( 4x+1 )

Step-by-step explanation:

I got it right.

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Solve the equation 2cos^2x + 3sinx = 3
Bezzdna [24]

Answer:

x = 2 π n_1 + π/2 for n_1 element Z

or x = 2 π n_2 + (5 π)/6 for n_2 element Z or x = 2 π n_3 + π/6 for n_3 element Z

Step-by-step explanation:

Solve for x:

2 cos^2(x) + 3 sin(x) = 3

Write 2 cos^2(x) + 3 sin(x) = 3 in terms of sin(x) using the identity cos^2(x) = 1 - sin^2(x):

-1 + 3 sin(x) - 2 sin^2(x) = 0

The left hand side factors into a product with three terms:

-(sin(x) - 1) (2 sin(x) - 1) = 0

Multiply both sides by -1:

(sin(x) - 1) (2 sin(x) - 1) = 0

Split into two equations:

sin(x) - 1 = 0 or 2 sin(x) - 1 = 0

Add 1 to both sides:

sin(x) = 1 or 2 sin(x) - 1 = 0

Take the inverse sine of both sides:

x = 2 π n_1 + π/2 for n_1 element Z

or 2 sin(x) - 1 = 0

Add 1 to both sides:

x = 2 π n_1 + π/2 for n_1 element Z

or 2 sin(x) = 1

Divide both sides by 2:

x = 2 π n_1 + π/2 for n_1 element Z

or sin(x) = 1/2

Take the inverse sine of both sides:

Answer: x = 2 π n_1 + π/2 for n_1 element Z

or x = 2 π n_2 + (5 π)/6 for n_2 element Z or x = 2 π n_3 + π/6 for n_3 element Z

6 0
3 years ago
Help :( explain the meaning of -500 in context to the problem,
Nadya [2.5K]

The equation of the distance of the plane from the city in Ecuador is a

linear  equation that has a constant rate of change.

  • <u>The -500 is the rate at which the distance of the plane from Ecuador changes every hour</u>.

Reasons:

The equation that estimates the distance of the plane from the city in

Ecuador is d = 2565 - 500·t

Where;

d = The distance in miles from the city in Ecuador

t = The time in hours after taking off from the city in Pennsylvania

Required:

The meaning of -500 in the context of the problem.

Solution:

By using dimensional analysis, we have;

Given that <em>d</em> is in miles and <em>t</em> is in hours, 2,565 is in miles, and 500 × t is in

miles.

Therefore, -500 is in miles per hour, which is the speed of the plane.

The -500 therefore, in the context, is the number of miles, the rate, by

which the plane becomes closer to the city in Ecuador every hour.

Learn more rate of change here:

brainly.com/question/1388646

6 0
2 years ago
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Alex_Xolod [135]

9514 1404 393

Answer:

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Step-by-step explanation:

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  14x +1 = 89° +(5x -7)

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  x = 9°

Then the measure of angle H is ...

  angle H = 5(9°) -7° = 38°

3 0
3 years ago
The ratio of the number of Mays necklaces to the number of Helen's necklace is 25:9. May has 100 necklaces. How many necklaces d
likoan [24]

Answer:

36

Step-by-step explanation:

25:9

25*4 = 100

9*4 = 36

6 0
3 years ago
1/4 (3x - 16) + 1/4x 5 1/3
slavikrds [6]
1/4(3x-16)+1/4x (times?) 5 and 1/3?? please so i can solve the problem
3 0
3 years ago
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