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3 years ago

If f(x) = x2 – 3x – 40 intersects the x-axis at points A and B, what is the sum of A and B?

Mathematics

1 answer:

Eduardwww [97]3 years ago

4 0

Answer:

Step-by-step explanation:

Intersections on the x axis occur when y = 0. f(x) is another term for y, so set f(x) equal to zero and solve for the two possible x's.

0 = x^2 - 3x - 40

0 = (x-8)(x+5)

By solving for x, you get 8 and -5. 8 and -5 added together will equal 3.

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If a wind turbine makes 76 full revolutions every 1 minute what is it’s angular speed?

Maslowich

Answer: $7.958 \frac{rad}{s}$

Step-by-step explanation:

We are told the wind turbine makes 76 revolutions in 1 minute. This means the angular speed $\omega$ of the object in revolutions per minute (rpm) is:

$\omega=76 rpm=76 \frac{rev}{min}$ (1)

However, we have to convert this to $\frac{rad}{s}$ , since this is the unit used in the International Systme of Units for angular speed.

So, we can do this knowing that:

$\omega=\frac{2 \pi}{T}$ (2)

Where:

$2 \pi=360\°$ is the value of one revolution

$T=1 min=60 s$ is the period of rotation

With this information in mind, let's make the conversion:

$\omega=76 \frac{rev}{min}. \frac{1 min}{60 s}. \frac{2 \pi}{1 rev}$ (3)

$\omega=7.958 \frac{rad}{s}$ (4) This is the wind turbine angular speed

3 0

3 years ago

Please answer this ASAP. The question is down below. Thank you!

Sonja [21]

Answer:

$y = .5x^2 -2x -5$

Step-by-step explanation:

Well we can start by seeing if the parabola is the same width by comparing it to its parent function ( y = x^2 )

In y = x^2 the 2nd lowest point is just up 1 and right 1 away from the vertex.

This is not true for our parabola.

So we can widen it by to the desidered width by making the x^2 into a .5x^2.

So far we’ve got y = .5x^2

Now the parabola y intercept is at -5.

So we can add a -5 into the equation making it.

y = .5x^2 - 5

Now for the x value.

So we can find the x value by seeing how far away the parabola is from from the y axis.

So the x value is -2x.

So the full equation is $y = .5x^2 -2x -5$

Look at the image below to compare.

7 0

3 years ago

Read 2 more answers

The wall of Joan's living room measures 17 feet long and 8 feet high. To buy paint for the room, she needs to know the size of e

qwelly [4]

If your looking for square feet then your looking for the area.
A = L * H
A = 17 * 8
A = 136 sq ft <==

6 0

3 years ago

2. Alicia is writing the program for a video game. For one part of the game she uses the rule (x,y) ->(x-3,y+4) to move point

Taya2010 [7]

Given rule (x,y) ->(x-3,y+4) to move points on the screen.

a) We are given first input (-6,0).

(-6,0) represents x=-6 and y=0.

Plugging values of x and y in given rule (x,y) ->(x-3,y+4), we get

(-6,0) --> (-6-3, 0+4). It would give us (-9,4)

So, first output is (-9,4).

b) We are given second input (3,-4).

(-6,0) represents x=3 and y=-4.

Plugging values of x and y in given rule (x,y) ->(x-3,y+4), we get

(-6,0) --> (3-3, -4+4). It would give us (0,0).

So, second output is (0,0).

7 0

3 years ago

What number would x be for 2x+1/3 and 2x be the same equation

ikadub [295]

Answer:

No solution.

Step-by-step explanation:

2x+1/3=2x

1/3=2x-2x

1/3=0

no solution

3 0

3 years ago