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Blizzard [7]
3 years ago
9

Not shure how to do this someone help!!

Mathematics
1 answer:
Anika [276]3 years ago
7 0

-- the greatest common factor of the 15, the 9, and the 24 is 3 .

-- the greatest common factor of the b⁴, the b⁵, and the b³ is b³.

-- the greatest common factor of the c³, the c², and the c¹, is c¹.

-- the greatest common factor of the d², the d¹, and the d³ is d¹.

-- SO, the greatest common factor of the whole thing is  ( 3 b³ c d ) .

Can you factor that out of the big mess ?

Please try it.

You should get (3 b³cd) (5 bc²d - 3 b²c - 8 d²) .

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Base: z(x)=cosx Period:180 Maximum:5 Minimum: -4 What are the transformation? Domain and Range? Graph?
garik1379 [7]

Answer:

The transformations needed to obtain the new function are horizontal scaling, vertical scaling and vertical translation. The resultant function is z'(x) = \frac{1}{2}  + \frac{9}{2} \cdot \cos \left(\frac{\pi\cdot x}{90^{\circ}} \right).

The domain of the function is all real numbers and its range is between -4 and 5.

The graph is enclosed below as attachment.

Step-by-step explanation:

Let be z (x) = \cos x the base formula, where x is measured in sexagesimal degrees. This expression must be transformed by using the following data:

T = 180^{\circ} (Period)

z_{min} = -4 (Minimum)

z_{max} = 5 (Maximum)

The cosine function is a periodic bounded function that lies between -1 and 1, that is, twice the unit amplitude, and periodicity of 2\pi radians. In addition, the following considerations must be taken into account for transformations:

1) x must be replaced by \frac{2\pi\cdot x}{180^{\circ}}. (Horizontal scaling)

2) The cosine function must be multiplied by a new amplitude (Vertical scaling), which is:

\Delta z = \frac{z_{max}-z_{min}}{2}

\Delta z = \frac{5+4}{2}

\Delta z = \frac{9}{2}

3) Midpoint value must be changed from zero to the midpoint between new minimum and maximum. (Vertical translation)

z_{m} = \frac{z_{min}+z_{max}}{2}

z_{m} = \frac{1}{2}

The new function is:

z'(x) = z_{m} + \Delta z\cdot \cos \left(\frac{2\pi\cdot x}{T} \right)

Given that z_{m} = \frac{1}{2}, \Delta z = \frac{9}{2} and T = 180^{\circ}, the outcome is:

z'(x) = \frac{1}{2}  + \frac{9}{2} \cdot \cos \left(\frac{\pi\cdot x}{90^{\circ}} \right)

The domain of the function is all real numbers and its range is between -4 and 5. The graph is enclosed below as attachment.

8 0
3 years ago
What is his average speed for end the entire trip 280 miles<br> ?
-BARSIC- [3]

Answer:

20mph

Step-by-step explanation:

because when you divide the 280 it goes by 20 mph to get to 280 miles by quarters but in 20s

7 0
2 years ago
Mike is playing cards with his sister when he draws a card from a pack of 35 cards numbered from 1 to 35 what is the probability
Ganezh [65]
1/5 because there are 7 numbers divisible by 5 from 1 to 35. 5,10, 15, 20,25,30,35, and out of those there are 35 cards, 7 out of 35 or 7/5 can be simplified to 1/5.
4 0
3 years ago
Read 2 more answers
Help me with this question ;-;
Marina86 [1]

Answer:

1.0105

Step-by-step explanation:

93/5 is equal to 9.6,and 92/4 is equal to 9.5,so 9.6/9.5 is 1.01

fraction form is 1  1/100

Mark me brainliest if this helped:D

3 0
3 years ago
Read 2 more answers
V = u + at <br> u = 2 and a= -5 and t= 1/2<br> work out the value of v
Darina [25.2K]

Step-by-step explanation:

v=u+at

v=2+(-5)<u>1</u>

<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>2

v=2-2.5

v=-0.5m/s²

hope it helps.

8 0
3 years ago
Read 2 more answers
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