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iragen [17]
3 years ago
7

What is the value of a 3 - b 2 for a = 3 and b = ? A. 8 B. 8 3/4 26 3/4 26

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
6 0
When b = 1  a^3 - b^2 = 3^3 - 1^2 = 26.
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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} )

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

3 - 6(1)

3 - 6

=  - 3

So the y intercept is (0,-3)

E. To find phase shift, set x-c=0 to solve for phase shift.

x +  \frac{\pi}{4}  = 0

x =  -  \frac{\pi}{4}

Negative means to the left, so the phase shift is pi/4 units to the left.

f. Period is PI, so use interval [0,2pi].

Look at the graph above,

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2 years ago
What two numbers can multiply to make -12, and also add together to make 4?
Novosadov [1.4K]
-2 and 6

-2x6=-12 so there you  have it
8 0
3 years ago
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A plane has fees for 420 passengers 15% of the seats are empty how many passengers are on the plane​
serious [3.7K]

Answer:

357 passengers

Step-by-step explanation:

\frac{x}{420}=\frac{85}{100} (The \frac{85}{100} is 85% of the 100% people because 15% is missing)

When you cross-simplify you get: \frac{x}{21}=\frac{85}{5} which is \frac{x}{21}=17

Finally, multiply 17 by 21 to get x.

Therefore, x=357

3 0
2 years ago
Will took two tests and made an 83% and a 93%. What will he need to make on the next test to have a mean score of 90%
telo118 [61]

Step-by-step explanation:

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6 0
3 years ago
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WHOEVER IS THE FIRST PERSON THAT GETS ANSWER RIGHT WILL GET BRAINLIST
Anastaziya [24]

Answer:

Fraction: 23/100

Decimal: .23

Percent: 23%

Step-by-step explanation:

Because there are 23 squares shaded out of 100.

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3 years ago
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