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3 years ago

Consider this quadratic function:

Mathematics

2 answers:

deff fn [24]3 years ago

7 0

Answer:

It began after the stock market crash of October 1929, which sent Wall Street into a panic and wiped out millions of investors. Over the next several years, consumer spending and investment dropped, causing steep declines in industrial output and employment as failing companies laid off workers

Amiraneli [1.4K]3 years ago

7 0

Answer: EDMENTUM AND PLATO

f(x) = 3x2 + 6x − 24

and

f(x) = 3(x + 4)(x − 2)

Step-by-step explanation:

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If sin(x) = 5/13, and x is in quadrant 1, then tan(x/2) equals what?

Rufina [12.5K]

$x$ is in quadrant I, so $0$ , which means $0$ , so $\dfrac x2$ belongs to the same quadrant.

Now,

$\tan^2\dfrac x2=\dfrac{\sin^2\frac x2}{\cos^2\frac x2}=\dfrac{\frac{1-\cos x}2}{\frac{1+\cos x}2}=\dfrac{1-\cos x}{1+\cos x}$

Since $\sin x=\dfrac5{13}$ , it follows that

$\cos^2x=1-\sin^2x\implies \cos x=\pm\sqrt{1-\left(\dfrac5{13}\right)^2}=\pm\dfrac{12}{13}$

Since $x$ belongs to the first quadrant, you take the positive root ( $\cos x>0$ for $x$ in quadrant I). Then

$\tan\dfrac x2=\pm\sqrt{\dfrac{1-\frac{12}{13}}{1+\frac{12}{13}}}$

$\tan x$ is also positive for $x$ in quadrant I, so you take the positive root again. You're left with

$\tan\dfrac x2=\dfrac15$

4 0

3 years ago

The minute hand of a clock is 1010 inches long and moves from 12 to 33 o'clock. How far does the tip of the minute hand move?

kenny6666 [7]

Answer: 2929 π inch

Step-by-step explanation:

Circumference is given by= 2πr

Here r= 1010 inches

So Tip of minute hand moves= 2π (1010inch)

= 2020 π inch for an hour

Now it comes from 12 to 33 o'clock= 1.45 hour so,

Tip of minute hand moves= 2020 π inch x 1.45

Tip of minute hand moves= 2929 π inch

5 0

2 years ago

Which solid has a greater volume? O A. Figure A 48 B. Figure B O C. they are equal A 2 O D. need more information

MatroZZZ [7]

9514 1404 393

Answer:

B. Figure B

Step-by-step explanation:

The figure is difficult to read. We assume the height of the pyramid is 9, and the radius of the cylinder is 1.

The pyramid volume is ...

V = 1/3Bh

V = 1/3(4²)(9) = 48 . . . cubic units

The cylinder volume is ...

V = πr²h

V = π(1²)(48) = 48π . . . cubic units

The cylinder has π times as much volume as the pyramid. Figure B is larger.

_____

Additional comment

If the diameter (not the radius) of the cylinder is 1 unit, then its volume is 12π cubic units and the pyramid has more volume.

7 0

3 years ago

√x+4=√3x A.) x=2 B.) x=-2 C.) x=3 D.) x=-3

Agata [3.3K]

I hope this helps you

6 0

3 years ago

Read 2 more answers

Find the GCF of 39 and 52.

natka813 [3]

First factor each number

39=3*13

52=4*13

Now find the greatest common factor, which in our case is 13.

Answer: 13

4 0

3 years ago

Read 2 more answers