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3 years ago

A) x2 - 2 = 0 resolver por factorizacion

Mathematics

1 answer:

Margarita [4]3 years ago

6 0

Answer:

x = ± √2 = ± 1.4142

Step-by-step explanation:

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Holly fills a bucket with 5/8 of a pound of confetti in 1/4 of an hour. How much confetti could she fill the bucket with in 1 ho

max2010maxim [7]

So if she fill up 5/8 in 1/4 hours we get this equation :
1/4x = 5/8
divide everything with 1/4
x=5/2

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3 years ago

The average yearly temperature T in degrees for Newport, Oregon is given by: |T−55|≤10 Find the average temperature range in deg

Nata [24]

Good evening

The absolute value has the following property:

$|x|\leq a\iff -a\leq x\leq a$

Apllying:

$|T-55| \leq 10 \iff -10\leq T - 55 \leq 10\\ \\ -10 + 55 \leq T -55 + 55 \leq 10 + 55\\ \\ \boxed{45\leq T \leq 65}$

The average temperature range is between 45 and 65 degrees.

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3 years ago

Please help me answer this using systems of equations with elimination.

Triss [41]

-5x+13y=-7
5x+4y=24
add the equation to eliminate x:
13y+4y=-7+24
17y=17
solve for y:
17/17y=17/17
y=1
then plug in y into any equation to solve for x:
-5x+13y=-7, y=1
-5x+(13*1)=-7
-5x+13-13=-7-13
-5x=-20
-5/-5x=-20/-5
x=4
the answers are x=4, y=1

3 0

3 years ago

100 points!!! Pre calculus. I need helpppppppppp

Fantom [35]

Answer:

We have function,

$y = 3 - 6 \sin {}^{} (2x + \frac{\pi}{2} )$

Standard Form of Sinusoid is

$y = - 6 \sin(2x + \frac{\pi}{2} ) + 3$

Which corresponds to

$y = a \sin(b(x + c)) + d$

where a is the amplitude

2pi/b is the period

c is phase shift

d is vertical shift or midline.

In the equation equation, we must factor out 2 so we get

$y = - 6(2(x + \frac{\pi}{4} )) + 3$

Also remeber a and b is always positive

So now let answer the questions.

a. The period is

$\frac{2\pi}{ |b| }$

$\frac{2\pi}{ |2| } = \pi$

So the period is pi radians.

b. Amplitude is

$| - 6| = 6$

Amplitude is 6.

c. Domain of a sinusoid is all reals. Here that stays the same. Range of a sinusoid is [-a+c, a-c]. Put the least number first, and the greatest next.

So using that<em> rule, our range is [6+3, -6+3]= [9,-3] So our range</em> is [-3,9].

D. Plug in 0 for x.

$3 - 6 \sin((2(0) + \frac{\pi}{2} )$